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The Cosmology of the Early and Late Universe

Lead Research Organisation: University of Nottingham
Department Name: Sch of Physics & Astronomy

Abstract

We live in a Universe in which distant galaxies are accelerating apart from one another, but the cause for this can not be the ordinary matter present in it as the universe should be slowing down due to the attractive pull of gravity on the matter it contains. Whatever is causing this acceleration must be a new substance that we have not come across before in nature, we call it Dark energy (DE). The best candidate for this is the Cosmological Constant (CC), however, there can't be much of it around today because if there was, it would have caused galaxies to blow apart by now. The problem is reconciling the observed amount of DE with the predicted amount that should be present in the form of a CC. The latter is much higher and reconciling this has been a problem for many years. Recently, we proposed a resolution to the problem in which the CC is cancelled, effectively removing it. We intend to develop our understanding of the mechanism involved in resolving this problem and establish whether it can be found to exist in particle theory models of our Universe. This leaves open the question of what is the nature of DE and we will be working on models proposed to account for this in which the force driving the acceleration is screened from view in regions of high density such as here on Earth. Such models are hard to rule out, but we have established a number of features they have that would allow us to test for them in the laboratory and on galactic scales. There is an alternative point of view to DE driving the acceleration of our universe, and that is that on large scales we need to modify Einstein's General Theory of Relativity (GR). This is a big field of enterprise and we are heavily involved in working on models in which GR is modified. We will be testing many of these models, both on vast cosmological scales and by seeing how they effect the formation of massive objects like neutron stars. We will also constrain models of Dark Matter, the key component of the universe which keeps galaxies together. We have yet to find out what DM really is, and one of our aims is to help uncover the mysterious particle that is binding our galaxy together. We will test whether it can be in the form of primordial black holes formed in the early universe or maybe as an extremely light particle called the axion.

Many people think the early Universe underwent a period of almost exponential expansion for a brief period of time, known as Inflation. We will work on models of inflation to establish whether or not successful models can be found in string theory, something that has recently been questioned by many. We will also ask how did the universe establish that there was more matter than antimatter in it, something known as Baryogenesis.

A new area which has emerged here at Nottingham recently is the possibility of testing theories of gravity in the laboratory by creating analogue experiments. Although at a completely different energy scale to the early universe, they enjoy similar equations, hence the hope that by doing such experiments we can mimc early universe effects and even use the results to make predictions about those earliest moments. Another area we are developing at Nottingham for the first time is to use the power of Machine Learning to create neural networks to analyse data. We are hoping to apply this new technology to search for cosmic strings, dark energy and provide new ways to analyse astronomical data. It is very exciting.

In Quantum Gravity, we attempt to establish a connection between General Relativity and Quantum Mechanics. We are developing models of cosmology that allow us to talk about the earliest moments in the universe where the role of Quantum Mechanics is vital and intend to develop methods to constrain and test these models with astronomical data such as the fluctuations seen in the thermal radiation associated with the Big Bang.

Planned Impact

Who might benefit from this research?

Key beneficiaries are astronomers, atomic/cold atom physicists, particle cosmologists, mathematicians and Particle physicists. Our work is interdisciplinary, using astrophysical data to constrain fundamental models of particle physics, and in doing so we introduce mathematics that will be of interest to that community. We are invited to give plenary talks at a number of major particle physics, astronomy and mathematics conferences, including: NAM2016, LOOPS17, Canada RQI-N 2016 Conference, Testing Gravity 2017.

All of the applicants have given plenary talks. Amongst these: Green gave a review talks on 'Astrophysical constraints on dark matter', (Lisbon Dec 18), and on PBH as DM candidates (KITP Apr 2018, Barcelona 2017). Burrage gave plenary talks on testing for screened DE at CERN, Vancouver and Grenoble to audiences of particle physicists, experimentalists on precision tests and neutron physicists. Copeland was a plenary speaker at NAM2016, the primary International Astronomy conference held in the UK. Gielen was a plenary speaker at Loops '17, Warsaw (July 2017), the largest international non-string QG conference. Padilla gave invited plenary talks on the CCP at Paris, Odense, Liverpool (2016), Belgrade. He gave a series of invited lectures on the cosmological constant at Prague (Sep 2018). Louko gave invited talks on the Unruh effect to conferences and workshops in Ontario (2016), York (2017,2018), Newfoundland, Kyoto (2017). Weinfurtner gave 25 conferences and workshops talks and 13 colloquia. Her work on analogue gravity is truly multidisciplinary and she has spoken at meetings on Black Holes (Harvard 2018) and at the Institute for Quantum Computing (Waterloo 2016). Sotiriou is invited regularly to speak at conferences from quantum gravity and theoretical physics to relativistic astrophysics and gravitational waves,

Another group of people who we believe we may well have an impact on is the General Public. Cosmology in particular holds an impressive fascination with the public. The Sixty Symbols videos that we run in Nottingham are subscribed to by over 750k people, and the particle physics and cosmology inspired videos are particularly popular.

How might they benefit from this research?

The academic community will benefit because our results will hopefully enable them to make progress in their own fields. For example our work on dark energy may well provide insights for the astronomical community in searching for ways of probing for dynamical dark energy, or for cold atom physicists in considering new experiments to search for it. The work on Quantum Gravity and the CCP may well have an impact on mathematicians - the proposed solutions for example may lead to new insights in mathematics and particle physics. Our work on Machine Learning opens up a new world of possibilities linking directly into all the disciplines including the new one of Machine Learning itself. It should be of interest to computer scientists interested in the impact of neural networks on machine learning. Weinfurtner's work has led to invitations to be an Independent Assessor for the European Space Agency (ESA) on their `new science ideas' programme.

Our Sixty Symbols videos are very popular and we know from feedback have an impact on people, to the extent that a number of people turn to studying physics having watched them. As an example of their popularity, three extended videos on topics covered in this proposal (Inflation, Cosmic Strings and Dark Energy) made by Copeland have been viewed over 1.7 Million times. [https://www.youtube.com/playlist?list=PLcUY9vudNKBMxm0HSZCDU7rMAWOt7zLgp]
Our video on the Case for String Theory has been viewed 535k times. (https://www.youtube.com/watch?v=Q8ccXzM3x8A)

Publications

10 25 50
 
Title First-order electroweak phase transitions: a nonperturbative update, videos 
Description This deposit contains videos created from Monte-Carlo and Langevin simulations of the SU(2) Higgs model, related to the paper "First-order electroweak phase transitions: a nonperturbative update". There are two videos, both in MPEG-4 format. Both files show data at the parameter point \(x=0.0152473\), \(y=0.0303620\), \(ag_3^2= 4/7.332605\), \(L=60a\), \(\eta=10\), using the notation of the paper. The file smoothing.mp4 shows the process of smoothing, or coarse-graining, the Higgs field, according to the method described in the section "Visualising bubble nucleation" of the paper. The particular configuration chosen is from the separatrix between phases, i.e. it is a critical bubble. The file trajectory.mp4 shows a trajectory of the Langevin time evolution of a configuration starting in the symmetric phase and nucleating into the broken phase. The configurations in this trajectory have been smoothed, or coarse-grained, 10 times. 
Type Of Art Film/Video/Animation 
Year Produced 2022 
Impact None known 
URL https://zenodo.org/record/6548607
 
Title First-order electroweak phase transitions: a nonperturbative update, videos 
Description This deposit contains videos created from Monte-Carlo and Langevin simulations of the SU(2) Higgs model, related to the paper "First-order electroweak phase transitions: a nonperturbative update". There are two videos, both in MPEG-4 format. Both files show data at the parameter point \(x=0.0152473\), \(y=0.0303620\), \(ag_3^2= 4/7.332605\), \(L=60a\), \(\eta=10\), using the notation of the paper. The file smoothing.mp4 shows the process of smoothing, or coarse-graining, the Higgs field, according to the method described in the section "Visualising bubble nucleation" of the paper. The particular configuration chosen is from the separatrix between phases, i.e. it is a critical bubble. The file trajectory.mp4 shows a trajectory of the Langevin time evolution of a configuration starting in the symmetric phase and nucleating into the broken phase. The configurations in this trajectory have been smoothed, or coarse-grained, 10 times. 
Type Of Art Film/Video/Animation 
Year Produced 2022 
URL https://zenodo.org/record/6548608
 
Description We have developed ideas about the nature of the early universe and dark energy which have been used in approaches to test for these models.
Exploitation Route There are experimental and theory groups interested in our outputs as a starting point for further research in early and late universe cosmology.
Sectors Education

 
Description They have been used as a motivation for a number of sixty symbols and numberphile videos.
First Year Of Impact 2021
Sector Education
 
Description ESA Voyage 2050
Geographic Reach Europe 
Policy Influence Type Participation in a guidance/advisory committee
URL https://www.cosmos.esa.int/web/voyage-2050/topical-teams
 
Description Dorothy Hodgkin Fellowship - Oliver Gould
Amount £895,273 (GBP)
Funding ID DHF\R1\221001 
Organisation The Royal Society 
Sector Charity/Non Profit
Country United Kingdom
Start 01/2023 
End 12/2027
 
Description Early universe and black hole simulators
Amount £982,000 (GBP)
Organisation The Leverhulme Trust 
Sector Charity/Non Profit
Country United Kingdom
Start 12/2020 
End 11/2025
 
Description Fundamental Physics in Gravitational Wave Signals
Amount £630,025 (GBP)
Funding ID ST/V005596/1 
Organisation Science and Technologies Facilities Council (STFC) 
Sector Public
Country United Kingdom
Start 09/2021 
End 09/2025
 
Description Leverhulme Trust as a Research leadership Award
Amount £802,923 (GBP)
Organisation The Leverhulme Trust 
Sector Charity/Non Profit
Country United Kingdom
Start 08/2017 
End 08/2022
 
Description Nottingham Research Fellowship - David Stefanyszyn
Amount £75,000 (GBP)
Organisation University of Nottingham 
Sector Academic/University
Country United Kingdom
Start 08/2022 
End 09/2025
 
Description Quantum Simulators for Fundamental Physics
Amount £1,855,406 (GBP)
Funding ID ST/T006900/1 
Organisation Science and Technologies Facilities Council (STFC) 
Sector Public
Country United Kingdom
Start 02/2021 
End 06/2025
 
Description Research fellowship
Amount £57,000 (GBP)
Funding ID RF-2021-312 
Organisation The Leverhulme Trust 
Sector Charity/Non Profit
Country United Kingdom
Start 09/2021 
End 09/2023
 
Description Royal Society
Amount £84,148 (GBP)
Funding ID RGF\R1\180030 
Organisation The Royal Society 
Sector Charity/Non Profit
Country United Kingdom
Start 03/2018 
End 03/2022
 
Description The Cosmology of the Early and Late Universe
Amount £808,622 (GBP)
Funding ID ST/X000672/1 
Organisation Science and Technologies Facilities Council (STFC) 
Sector Public
Country United Kingdom
Start 09/2023 
End 09/2026
 
Description URF
Amount £279,388 (GBP)
Funding ID URF\R\191032 
Organisation The Royal Society 
Sector Charity/Non Profit
Country United Kingdom
Start 01/2020 
End 12/2022
 
Description URF
Amount £328,945 (GBP)
Funding ID UF160683 
Organisation The Royal Society 
Sector Charity/Non Profit
Country United Kingdom
Start 01/2018 
End 09/2021
 
Description URF Royal Society
Amount £96,000 (GBP)
Funding ID RA222G1 
Organisation The Royal Society 
Sector Charity/Non Profit
Country United Kingdom
Start 12/2017 
End 11/2021
 
Description URF Royal Society
Amount £425,814 (GBP)
Funding ID UF160622 
Organisation The Royal Society 
Sector Charity/Non Profit
Country United Kingdom
Start 01/2018 
End 12/2022
 
Description URF Royal Society
Amount £200,000 (GBP)
Funding ID UF120112 
Organisation The Royal Society 
Sector Charity/Non Profit
Country United Kingdom
Start 09/2018 
End 03/2021
 
Title FeynMG: A FeynRules extension for scalar-tensor theories of gravity 
Description The ability to represent perturbative expansions of interacting quantum field theories in terms of simple diagrammatic rules has revolutionized calculations in particle physics (and elsewhere). Moreover, these rules are readily automated, a process that has catalyzed the rise of symbolic algebra packages. However, in the case of extended theories of gravity, such as scalar-tensor theories, it is necessary to precondition the Lagrangian to apply this automation or, at the very least, to take advantage of existing software pipelines. We present a Mathematica code FeynMG, which works in conjunction with the well-known package FeynRules, to do just that: FeynMG takes as inputs the FeynRules model file for a non-gravitational theory and a user-supplied gravitational Lagrangian. FeynMG provides functionality that inserts the minimal gravitational couplings of the degrees of freedom specified in the model file, determines the couplings of the additional tensor and scalar degrees of freedom (the metric and the scalar field from the gravitational sector), and preconditions the resulting Lagrangian so that it can be passed to FeynRules, either directly or by outputting an updated FeynRules model file. The Feynman rules can then be determined and output through FeynRules, using existing universal output formats and interfaces to other analysis packages. 
Type Of Material Database/Collection of data 
Year Produced 2023 
Provided To Others? Yes  
Impact Has generated a lot of interest in the particle physics community amongst those interested in testing modified gravity models 
URL https://data.mendeley.com/datasets/bjpfmtt55k
 
Title FeynMG: A FeynRules extension for scalar-tensor theories of gravity 
Description The ability to represent perturbative expansions of interacting quantum field theories in terms of simple diagrammatic rules has revolutionized calculations in particle physics (and elsewhere). Moreover, these rules are readily automated, a process that has catalyzed the rise of symbolic algebra packages. However, in the case of extended theories of gravity, such as scalar-tensor theories, it is necessary to precondition the Lagrangian to apply this automation or, at the very least, to take advantage of existing software pipelines. We present a Mathematica code FeynMG, which works in conjunction with the well-known package FeynRules, to do just that: FeynMG takes as inputs the FeynRules model file for a non-gravitational theory and a user-supplied gravitational Lagrangian. FeynMG provides functionality that inserts the minimal gravitational couplings of the degrees of freedom specified in the model file, determines the couplings of the additional tensor and scalar degrees of freedom (the metric and the scalar field from the gravitational sector), and preconditions the resulting Lagrangian so that it can be passed to FeynRules, either directly or by outputting an updated FeynRules model file. The Feynman rules can then be determined and output through FeynRules, using existing universal output formats and interfaces to other analysis packages. 
Type Of Material Database/Collection of data 
Year Produced 2023 
Provided To Others? Yes  
Impact Has generated a lot of interest in the particle physics community amongst those interested in testing modified gravity models 
URL https://data.mendeley.com/datasets/bjpfmtt55k/1
 
Title Final data for paper "A nonperturbative test of nucleation calculations for strong phase transitions" 
Description In this Zenodo deposit we include the data used to make three key figures in our paper, showing our final nucleation rate results. The columns of the raw data files are labelled. In each case, the quantity being tabulated is the logarithm of the nucleation rate, typically labelled logGamma in our data files. We also include plotting scripts to generate the figures from the data. The directory a_limit contains the extrapolation to zero lattice spacing, with the raw data in the file a_limit_data. The temperature T is fixed to our benchmark point of 93.121 GeV. The linear size Nx and the lattice spacing a are varied to give a constant total volume. The file a_limit_lin_op_data contains our comparison measurement using the linear order parameter. The script plot_a_limit.py performs a nonlinear least squares fit to a cubic, writes the continuum extrapolated nuclation rate result to stdout, and plots the data and the fit. The directory vol_limit contains the extrapolation to infinite volume, with the raw data in the file vol_limit_data. Here the temperature T=93.121 GeV and lattice spacing a=1.5 are fixed, while the linear size Nx is varied. The script plot_vol_limit.py performs a nonlinear least squares fit to an exponential function, writes the infinite volume limit nucleation rate result to stdout, and again plots the data and the fit. The directory rate_reweighted contains the data needed to plot the nucleation rate as a function of temperature. This plot combines lattice data and various perturbative estimates of the nucleation rate. The lattice data are in three files: rate_lattice_BM2_vol_limit contains the infinite volume limit result at the simulated lattice temperature T=93.121 GeV and with lattice spacing a=1.5. rate_lattice_BM2 reweights the lattice data to different temperatures and then takes the infinite volume limit. rate_lattice_BM2_Nx40_a1.5 contains data reweighted from the simulation at fixed volume Nx=40. In each lattice data file, the temperature, continuum potential parameters and nucleation rate are given. The perturbative results are in three files, rate_perturbative_BM2_rg_low, rate_perturbative_BM2 and rate_perturbative_BM2_rg_high, corresponding to the three RG scales mentioned in the text. These files again contain the temperature and continuum lattice parameters. The column eps gives the dimensionless loop expansion parameter around the metastable phase within the EFT. The column logGamma_0 gives the tree level result, logGamma_A and logGamma_B the LPA results with the two options for dealing with the imaginary parts described in the text, and logGamma_1 is the one loop result. The script plot_rate_reweighted.py plots all of these data together. For the tree level and one loop cases, the error bands plotted correspond to the minimum and maximum values of the nucleation rate across the three RG scales. For the LPA results, the bands include the extreme values for all six options including the two approaches to handling the imaginary parts. In each case, the plots are saved to PDF and PNG plot files. The figures used in this deposit and in the paper used the following package versions (obtained with the pipreqs package): matplotlib==3.5.1 numpy==1.21.5 scipy==1.8.0 seaborn==0.11.2 
Type Of Material Database/Collection of data 
Year Produced 2024 
Provided To Others? Yes  
URL https://zenodo.org/doi/10.5281/zenodo.10891524
 
Title Final data for paper "A nonperturbative test of nucleation calculations for strong phase transitions" 
Description In this Zenodo deposit we include the data used to make three key figures in our paper, showing our final nucleation rate results. The columns of the raw data files are labelled. In each case, the quantity being tabulated is the logarithm of the nucleation rate, typically labelled logGamma in our data files. We also include plotting scripts to generate the figures from the data. The directory a_limit contains the extrapolation to zero lattice spacing, with the raw data in the file a_limit_data. The temperature T is fixed to our benchmark point of 93.121 GeV. The linear size Nx and the lattice spacing a are varied to give a constant total volume. The file a_limit_lin_op_data contains our comparison measurement using the linear order parameter. The script plot_a_limit.py performs a nonlinear least squares fit to a cubic, writes the continuum extrapolated nuclation rate result to stdout, and plots the data and the fit. The directory vol_limit contains the extrapolation to infinite volume, with the raw data in the file vol_limit_data. Here the temperature T=93.121 GeV and lattice spacing a=1.5 are fixed, while the linear size Nx is varied. The script plot_vol_limit.py performs a nonlinear least squares fit to an exponential function, writes the infinite volume limit nucleation rate result to stdout, and again plots the data and the fit. The directory rate_reweighted contains the data needed to plot the nucleation rate as a function of temperature. This plot combines lattice data and various perturbative estimates of the nucleation rate. The lattice data are in three files: rate_lattice_BM2_vol_limit contains the infinite volume limit result at the simulated lattice temperature T=93.121 GeV and with lattice spacing a=1.5. rate_lattice_BM2 reweights the lattice data to different temperatures and then takes the infinite volume limit. rate_lattice_BM2_Nx40_a1.5 contains data reweighted from the simulation at fixed volume Nx=40. In each lattice data file, the temperature, continuum potential parameters and nucleation rate are given. The perturbative results are in three files, rate_perturbative_BM2_rg_low, rate_perturbative_BM2 and rate_perturbative_BM2_rg_high, corresponding to the three RG scales mentioned in the text. These files again contain the temperature and continuum lattice parameters. The column eps gives the dimensionless loop expansion parameter around the metastable phase within the EFT. The column logGamma_0 gives the tree level result, logGamma_A and logGamma_B the LPA results with the two options for dealing with the imaginary parts described in the text, and logGamma_1 is the one loop result. The script plot_rate_reweighted.py plots all of these data together. For the tree level and one loop cases, the error bands plotted correspond to the minimum and maximum values of the nucleation rate across the three RG scales. For the LPA results, the bands include the extreme values for all six options including the two approaches to handling the imaginary parts. In each case, the plots are saved to PDF and PNG plot files. The figures used in this deposit and in the paper used the following package versions (obtained with the pipreqs package): matplotlib==3.5.1 numpy==1.21.5 scipy==1.8.0 seaborn==0.11.2 Note that in Version v1 there was an error in the normalisation of our perturbative tree-level and LPA results which has now been fixed. 
Type Of Material Database/Collection of data 
Year Produced 2024 
Provided To Others? Yes  
URL https://zenodo.org/doi/10.5281/zenodo.10891523
 
Title Final data for paper "A nonperturbative test of nucleation calculations for strong phase transitions" 
Description In this Zenodo deposit we include the data used to make three key figures in our paper, showing our final nucleation rate results. The columns of the raw data files are labelled. In each case, the quantity being tabulated is the logarithm of the nucleation rate, typically labelled logGamma in our data files. We also include plotting scripts to generate the figures from the data. The directory a_limit contains the extrapolation to zero lattice spacing, with the raw data in the file a_limit_data. The temperature T is fixed to our benchmark point of 93.121 GeV. The linear size Nx and the lattice spacing a are varied to give a constant total volume. The file a_limit_lin_op_data contains our comparison measurement using the linear order parameter. The script plot_a_limit.py performs a nonlinear least squares fit to a cubic, writes the continuum extrapolated nuclation rate result to stdout, and plots the data and the fit. The directory vol_limit contains the extrapolation to infinite volume, with the raw data in the file vol_limit_data. Here the temperature T=93.121 GeV and lattice spacing a=1.5 are fixed, while the linear size Nx is varied. The script plot_vol_limit.py performs a nonlinear least squares fit to an exponential function, writes the infinite volume limit nucleation rate result to stdout, and again plots the data and the fit. The directory rate_reweighted contains the data needed to plot the nucleation rate as a function of temperature. This plot combines lattice data and various perturbative estimates of the nucleation rate. The lattice data are in three files: rate_lattice_BM2_vol_limit contains the infinite volume limit result at the simulated lattice temperature T=93.121 GeV and with lattice spacing a=1.5. rate_lattice_BM2 reweights the lattice data to different temperatures and then takes the infinite volume limit. rate_lattice_BM2_Nx40_a1.5 contains data reweighted from the simulation at fixed volume Nx=40. In each lattice data file, the temperature, continuum potential parameters and nucleation rate are given. The perturbative results are in three files, rate_perturbative_BM2_rg_low, rate_perturbative_BM2 and rate_perturbative_BM2_rg_high, corresponding to the three RG scales mentioned in the text. These files again contain the temperature and continuum lattice parameters. The column eps gives the dimensionless loop expansion parameter around the metastable phase within the EFT. The column logGamma_0 gives the tree level result, logGamma_A and logGamma_B the LPA results with the two options for dealing with the imaginary parts described in the text, and logGamma_1 is the one loop result. The script plot_rate_reweighted.py plots all of these data together. For the tree level and one loop cases, the error bands plotted correspond to the minimum and maximum values of the nucleation rate across the three RG scales. For the LPA results, the bands include the extreme values for all six options including the two approaches to handling the imaginary parts. In each case, the plots are saved to PDF and PNG plot files. The figures used in this deposit and in the paper used the following package versions (obtained with the pipreqs package): matplotlib==3.5.1 numpy==1.21.5 scipy==1.8.0 seaborn==0.11.2 Note that in Version v1 there was an error in the normalisation of our perturbative tree-level and LPA results which has now been fixed. 
Type Of Material Database/Collection of data 
Year Produced 2024 
Provided To Others? Yes  
URL https://zenodo.org/doi/10.5281/zenodo.11085693
 
Title First-order electroweak phase transitions: a nonperturbative update, dataset 
Description This deposit contains data from Monte-Carlo and Langevin simulations of the SU(2) Higgs model, related to the paper "First-order electroweak phase transitions: a nonperturbative update". Everything is contained within the archive file su2higgs_data.tar.gz, a tarball compressed with Gzip. The data covers four equilibrium quantities: the critical mass, the jump in the quadratic Higgs condensate, the jump in the quartic Higgs condensate, and the surface tension. It also includes data for the bubble nucleation rate. Further details on the contents of the dataset are explained in README.md. 
Type Of Material Database/Collection of data 
Year Produced 2022 
Provided To Others? Yes  
Impact None known 
URL https://zenodo.org/record/6539258
 
Title First-order electroweak phase transitions: a nonperturbative update, dataset 
Description This deposit contains data from Monte-Carlo and Langevin simulations of the SU(2) Higgs model, related to the paper "First-order electroweak phase transitions: a nonperturbative update". Everything is contained within the archive file su2higgs_data.tar.gz, a tarball compressed with Gzip. The data covers four equilibrium quantities: the critical mass, the jump in the quadratic Higgs condensate, the jump in the quartic Higgs condensate, and the surface tension. It also includes data for the bubble nucleation rate. Further details on the contents of the dataset are explained in README.md. 
Type Of Material Database/Collection of data 
Year Produced 2022 
Provided To Others? Yes  
URL https://zenodo.org/record/6539259
 
Title Higher orders for cosmological phase transitions: a global study in a Yukawa model 
Description Data used in the article with preprint title: Higher orders for cosmological phase transitions: a global study in a Yukawa model by Oliver Gould and Cheng Xie Contains file: dataPublishedExport.csv, which consists of the variable used in, and evaluations from the global parameter scan. More details of the content are specified in README.txt. 
Type Of Material Database/Collection of data 
Year Produced 2023 
Provided To Others? Yes  
URL https://zenodo.org/doi/10.5281/zenodo.10276044
 
Title Higher orders for cosmological phase transitions: a global study in a Yukawa model 
Description Data used in the article with preprint title: Higher orders for cosmological phase transitions: a global study in a Yukawa model by Oliver Gould and Cheng Xie Contains file: dataPublishedExport.csv, which consists of the variable used in, and evaluations from the global parameter scan. More details of the content are specified in README.txt. 
Type Of Material Database/Collection of data 
Year Produced 2023 
Provided To Others? Yes  
Impact None known 
URL https://zenodo.org/doi/10.5281/zenodo.10276043
 
Title Perturbative effective field theory expansions for cosmological phase transitions, dataset 
Description This dataset is the work of Oliver Gould and Tuomas V.I. Tenkanen. It collects the numerical data from the paper "Perturbative effective field theory expansions for cosmological phase transitions" (2023). It primarily contains data from perturbative calculations of the thermal evolution of the real-triplet extended Standard Model at two benchmark parameter points. In addition, for comparison to the perturbative results, we have included data of the scalar quadratic condensates as a function of temperature from the lattice Monte-Carlo simulations of Lauri Niemi, Michael J. Ramsey-Musolf, Tuomas V.I. Tenkanen and David J. Weir, from the paper "Thermodynamics of a Two-Step Electroweak Phase Transition" (2020). We thank the authors for granting permission to reproduce this data here. Everything is contained within the archive file triplet_two_step_data.tar.gz, a tarball compressed with Gzip. For further details and for the context of this dataset, see the above papers. Details of the conventions used in the dataset can be found in the accompanying README.md file. 
Type Of Material Database/Collection of data 
Year Produced 2023 
Provided To Others? Yes  
Impact None known 
URL https://zenodo.org/doi/10.5281/zenodo.10353066
 
Title Perturbative effective field theory expansions for cosmological phase transitions, dataset 
Description This dataset is the work of Oliver Gould and Tuomas V.I. Tenkanen. It collects the numerical data from the paper "Perturbative effective field theory expansions for cosmological phase transitions" (2023). It primarily contains data from perturbative calculations of the thermal evolution of the real-triplet extended Standard Model at two benchmark parameter points. In addition, for comparison to the perturbative results, we have included data of the scalar quadratic condensates as a function of temperature from the lattice Monte-Carlo simulations of Lauri Niemi, Michael J. Ramsey-Musolf, Tuomas V.I. Tenkanen and David J. Weir, from the paper "Thermodynamics of a Two-Step Electroweak Phase Transition" (2020). We thank the authors for granting permission to reproduce this data here. Everything is contained within the archive file triplet_two_step_data.tar.gz, a tarball compressed with Gzip. For further details and for the context of this dataset, see the above papers. Details of the conventions used in the dataset can be found in the accompanying README.md file. 
Type Of Material Database/Collection of data 
Year Produced 2023 
Provided To Others? Yes  
Impact None known 
URL https://zenodo.org/doi/10.5281/zenodo.10353065
 
Title Perturbative gravitational wave predictions for the real scalar extended Standard Model, dataset 
Description This deposit contains data from a perturbative study of cosmological phase transitions in the real singlet scalar extension of the Standard Model (xSM). The data relates to the paper "Perturbative gravitational wave predictions for the real scalar extended Standard Model". Everything is contained within the archive file xsm_results.tar.gz, a tarball compressed with Gzip. The data covers phase transition properties for a scan of 100,000 parameter points in the xSM. Further details on the contents of the dataset are explained in the README.md within the tarball. 
Type Of Material Database/Collection of data 
Year Produced 2024 
Provided To Others? Yes  
URL https://zenodo.org/doi/10.5281/zenodo.14031507
 
Title Perturbative gravitational wave predictions for the real scalar extended Standard Model, dataset 
Description This deposit contains data from a perturbative study of cosmological phase transitions in the real singlet scalar extension of the Standard Model (xSM). The data relates to the paper "Perturbative gravitational wave predictions for the real scalar extended Standard Model". Everything is contained within the archive file xsm_results.tar.gz, a tarball compressed with Gzip. The data covers phase transition properties for a scan of 100,000 parameter points in the xSM. Further details on the contents of the dataset are explained in the README.md within the tarball. 
Type Of Material Database/Collection of data 
Year Produced 2024 
Provided To Others? Yes  
URL https://zenodo.org/doi/10.5281/zenodo.14031506
 
Title Quantum correlations in a gravitational collapse simulation with SpheriCo.jl: data 
Description This dataset was used to produce the plots in the paper "Quantum correlations in a gravitational collapse simulation with SpheriCo.jl". The data can be used to reproduce the results of the paper or for comparison against data obtained if one performs the same simulations independently. The code that performed the simulations can be found in https://github.com/ThanasisGiannakopoulos/SpheriCo.jl. This work received partial support from the Science and Technology Facilities Council (STFC) [Grant Nos. ST/T000732/1, ST/X000672/1 and ST/V005596/1]. 
Type Of Material Database/Collection of data 
Year Produced 2024 
Provided To Others? Yes  
URL https://zenodo.org/doi/10.5281/zenodo.14365566
 
Title Quantum correlations in a gravitational collapse simulation with SpheriCo.jl: data 
Description This dataset was used to produce the plots in the paper "Quantum correlations in a gravitational collapse simulation with SpheriCo.jl". The data can be used to reproduce the results of the paper or for comparison against data obtained if one performs the same simulations independently. The code that performed the simulations can be found in https://github.com/ThanasisGiannakopoulos/SpheriCo.jl. This work received partial support from the Science and Technology Facilities Council (STFC) [Grant Nos. ST/T000732/1, ST/X000672/1 and ST/V005596/1]. 
Type Of Material Database/Collection of data 
Year Produced 2024 
Provided To Others? Yes  
URL https://zenodo.org/doi/10.5281/zenodo.14365567
 
Title Two-bubble envelope approximation code and results 
Description This deposit contains the code required to carry out the envelope approximation simulations used in the paper with preprint title Vacuum bubble collisions: from microphysics to gravitational waves by Oliver Gould, Satumaaria Sukuvaara, and David Weir. The method and results are based on the following papers: Gravitational Wave Production by Collisions: More Bubbles by Stephan J. Huber and Thomas Konstandin [arXiv:0806.1828]. Gravitational radiation from colliding vacuum bubbles: envelope approximation to many bubble collisions by Arthur Kosowsky and Michael S. Turner [arXiv:astro-ph/9211004]. Gravitational radiation from colliding vacuum bubbles by Arthur Kosowsky, Michael S. Turner and Richard Watkins [Inspire]. In the latter paper the envelope approximation is introduced in Appendix C. There are two files: dweir-envelope-b2842c4827ad.zip is a snapshot of the Bitbucket-hosted Git repository for the simulation code, corresponding to the commit tagged v1.1.0. Later versions of the code may exist. The snapshot was generated by the Bitbucket service and does not include the Git metadata. two-bubbles-envelope-data.tar.gz is an archive of the simulation results used to generate the envelope approximation results seen in the preprint, as well as numerical tests and some additional numerical explorations. While the results were generated with a slightly earlier version of the code than the tagged release in this deposit, they have been confirmed to be reproducible with the code provided. Both archives contain README.md files with further information. 
Type Of Material Database/Collection of data 
Year Produced 2021 
Provided To Others? Yes  
URL https://zenodo.org/record/5090669
 
Title Two-bubble envelope approximation code and results 
Description This deposit contains the code required to carry out the envelope approximation simulations used in the paper with preprint title Vacuum bubble collisions: from microphysics to gravitational waves by Oliver Gould, Satumaaria Sukuvaara, and David Weir. The method and results are based on the following papers: Gravitational Wave Production by Collisions: More Bubbles by Stephan J. Huber and Thomas Konstandin [arXiv:0806.1828]. Gravitational radiation from colliding vacuum bubbles: envelope approximation to many bubble collisions by Arthur Kosowsky and Michael S. Turner [arXiv:astro-ph/9211004]. Gravitational radiation from colliding vacuum bubbles by Arthur Kosowsky, Michael S. Turner and Richard Watkins [Inspire]. In the latter paper the envelope approximation is introduced in Appendix C. There are two files: dweir-envelope-b2842c4827ad.zip is a snapshot of the Bitbucket-hosted Git repository for the simulation code, corresponding to the commit tagged v1.1.0. Later versions of the code may exist. The snapshot was generated by the Bitbucket service and does not include the Git metadata. two-bubbles-envelope-data.tar.gz is an archive of the simulation results used to generate the envelope approximation results seen in the preprint, as well as numerical tests and some additional numerical explorations. While the results were generated with a slightly earlier version of the code than the tagged release in this deposit, they have been confirmed to be reproducible with the code provided. Both archives contain README.md files with further information. 
Type Of Material Database/Collection of data 
Year Produced 2021 
Provided To Others? Yes  
Impact None known 
URL https://zenodo.org/record/5090668
 
Title Two-bubble simulation and gravitational wave spectrum codes and data 
Description Code and data used in the paper with preprint title Vacuum bubble collisions: from microphysics to gravitational waves by Oliver Gould, Satumaaria Sukuvaara, and David Weir. The field simulation and gravitational wave spectrum calculation codes are based on Gravitational radiation from colliding vacuum bubbles by Arthur Kosowsky, Michael S. Turner and Richard Watkins [Inspire]. Contains files: two_bubbles_code-v1.0.0.zip is a snapshot of a git repository, corresponding to commit v1.0.0. Contains the codes with which the majority of the data was produced. two_bubbles_data-v1.0.0.zip is a snapshot of a git repository, corresponding to commit v1.0.0. It contains the majority of data used in the paper. Apart from few exceptions, the data in this file was produced by the codes in two_bubbles_code-v1.0.0.zip. README.md files, specifying and explaining the contents and usage, are included within. The v1.0.0 of code README.md and the data README.md can be found from the repositories as well. 
Type Of Material Database/Collection of data 
Year Produced 2021 
Provided To Others? Yes  
Impact None known 
URL https://zenodo.org/record/5127537
 
Title Two-bubble simulation and gravitational wave spectrum codes and data 
Description Code and data used in the paper with preprint title Vacuum bubble collisions: from microphysics to gravitational waves by Oliver Gould, Satumaaria Sukuvaara, and David Weir. The field simulation and gravitational wave spectrum calculation codes are based on Gravitational radiation from colliding vacuum bubbles by Arthur Kosowsky, Michael S. Turner and Richard Watkins [Inspire]. Contains files: two_bubbles_code-v1.0.0.zip is a snapshot of a git repository, corresponding to commit v1.0.0. Contains the codes with which the majority of the data was produced. two_bubbles_data-v1.0.0.zip is a snapshot of a git repository, corresponding to commit v1.0.0. It contains the majority of data used in the paper. Apart from few exceptions, the data in this file was produced by the codes in two_bubbles_code-v1.0.0.zip. README.md files, specifying and explaining the contents and usage, are included within. The v1.0.0 of code README.md and the data README.md can be found from the repositories as well. 
Type Of Material Database/Collection of data 
Year Produced 2021 
Provided To Others? Yes  
URL https://zenodo.org/record/5127538
 
Description Axion project 
Organisation Rice University
Department Department of Physics and Astronomy
Country United States 
Sector Academic/University 
PI Contribution Prof. Mustafa Amin - Rice University
Collaborator Contribution Collaborations on a paper.
Impact None
Start Year 2020
 
Description COSMOS 
Organisation University of Cambridge
Department Department of Applied Mathematics and Theoretical Physics (DAMTP)
Country United Kingdom 
Sector Academic/University 
PI Contribution We have access to COSMOS supercomputer
Collaborator Contribution All partners have access to COSMOS to undertake basic research into cosmology
Impact Many publications too numerous to mention
 
Description COST Action 21106 - Cosmic WISPers in the Dark Universe. 
Organisation European Cooperation in Science and Technology (COST)
Department COST Action
Country Belgium 
Sector Public 
PI Contribution COST Action 21106 - Cosmic WISPers in the Dark Universe. Clare Burrage is on the management committee as one of the UK representatives.
Collaborator Contribution All partners work in axion physics
Impact None yet
Start Year 2022
 
Description Cosmic Explorer Consortium - Oliver Gould 
Organisation National Science Foundation (NSF)
Country United States 
Sector Public 
PI Contribution Theoretical calculations for GW signals
Collaborator Contribution All participants work in the field of GW astronomy and theory.
Impact Papers published by Oliver Gould
Start Year 2022
 
Description Dark Energy Survey 
Organisation Fermilab - Fermi National Accelerator Laboratory
Country United States 
Sector Public 
PI Contribution Copeland is on the Theory Working Group
Collaborator Contribution They run the telescope
Impact None yet
Start Year 2012
 
Description Euclid 
Organisation European Space Agency
Department Science and Operations Department
Country France 
Sector Academic/University 
PI Contribution Skordis and Burrage are on Theory working group
Collaborator Contribution Support all elements of the satellite.
Impact None yet
 
Description MoEDAL Experiment -- Oliver Gould 
Organisation European Organization for Nuclear Research (CERN)
Country Switzerland 
Sector Academic/University 
PI Contribution All participants work on the MoEDAL experiment and/or theory.
Collaborator Contribution They work on the experiment and on providing theoretical input.
Impact Papers have been published and they are included in Oliver Gould's outputs.
Start Year 2019
 
Description Planck 
Organisation European Space Agency
Department Science and Operations Department
Country France 
Sector Academic/University 
PI Contribution Adam Moss is on the Planck team, working primarily on polarisation.
Collaborator Contribution All aspects of the project
Impact Huge impact on cosmology.
 
Description WG3: Black holes and fundamental physics -- COST 
Organisation European Cooperation in Science and Technology (COST)
Country Belgium 
Sector Public 
PI Contribution Thomas Sotiriou is leading the Work Package 3 of COST funded GWverse.
Collaborator Contribution They are all contributing research aspects. The Action will link 3 scientific communities that are currently largely disjoint: one specializing in GW detection and analysis, another in BH modelling (in both astrophysical and GR contexts), and a third in strong-gravity tests of fundamental physics, to form a single, interdisciplinary network, facilitating a common language and a framework to discuss, interact and learn from one another.
Impact None yet - two meetings have taken place in Brussels (2017) and Malta (2018)
Start Year 2017
 
Description 60 Symbols video 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact Oppenheimer video
Year(s) Of Engagement Activity 2023
URL https://www.youtube.com/watch?v=py8k1tn8yw4
 
Description ABC Late Night Show 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact radio show
Year(s) Of Engagement Activity 2022
URL https://www.abc.net.au/radionational/programs/latenightlive/fantastic-numbers-and-where-to-find-them...
 
Description Anne Green - Public talk on Dark Matter as part of University of Nottingham Impact Magazine series, Mar 22 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Public talk on Dark Matter as part of University of Nottingham Impact Magazine series, Mar 22
Year(s) Of Engagement Activity 2022
 
Description Anne Green -- Physics world podcast: celebrating the physics of the cosmos and 20 years of JCAP 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Physics world podcast: celebrating the physics of the cosmos and 20 years of JCAP
Anne Green
Year(s) Of Engagement Activity 2023
URL https://physicsworld.com/a/celebrating-the-physics-of-the-cosmos-and-20-years-of-jcap/
 
Description Antonio Padilla - Nobel Prize for Black Holes - Sixty Symbols 
Form Of Engagement Activity Engagement focused website, blog or social media channel
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Nobel Prize for Black Holes - Sixty Symbols
Year(s) Of Engagement Activity 2020
URL https://www.youtube.com/watch?v=8Qrj2LZAM-w
 
Description Antonio Padilla - July PGF MSc Masterclass 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Postgraduate students
Results and Impact July PGF MSc Masterclass
Year(s) Of Engagement Activity 2021
 
Description Antonio Padilla - July Year 12 Masterclass (200+ students online) 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Schools
Results and Impact July Year 12 Masterclass (200+ students online)
Year(s) Of Engagement Activity 2021
 
Description Antonio Padilla - podcast 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Writers Voice Sep
Year(s) Of Engagement Activity 2022
URL https://www.writersvoice.net/2022/10/antonio-padilla-fantastic-numbers-and-where-to-find-them-poet-r...
 
Description Antonio Padilla - podcast 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Nakshatra NITT "World Space week" Oct
Year(s) Of Engagement Activity 2022
URL https://medium.com/nakshatra
 
Description Antonio Padilla - podcast 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Next Big Ideas Club -Book Bites
Year(s) Of Engagement Activity 2022
URL https://nextbigideaclub.com/magazine/fantastic-numbers-find-cosmic-quest-zero-infinity-bookbite/3600...
 
Description Antonio Padilla - podcast 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Stuff to Blow Your Mind Podcast 26/7
Year(s) Of Engagement Activity 2022
URL https://podcasts.apple.com/gb/podcast/fantastic-numbers-with-antonio-padilla/id350359306?i=100057143...
 
Description Antonio Padilla - podcast 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact New sci profile
Year(s) Of Engagement Activity 2022
URL https://institutions.newscientist.com/author/antonio-padilla/
 
Description Antonio Padilla - podcast 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact ABC Late Night Show Sep
Year(s) Of Engagement Activity 2022
URL https://www.abc.net.au/radionational/programs/latenightlive/fantastic-numbers-and-where-to-find-them...
 
Description Antonio Padilla Podcast 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Podcast Big Issue June
Year(s) Of Engagement Activity 2022
URL https://www.bigissue.com/culture/there-really-is-a-number-so-big-it-could-make-your-mind-implode/
 
Description Antonio Padilla podcast 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Cool science radio Sep
Year(s) Of Engagement Activity 2022
URL https://www.kpcw.org/podcast/cool-science-radio/2022-09-01/cool-science-radio-september-1-2022
 
Description Antonio Padilla podcast 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Mindscape podcast - Sean Carroll Sep
Year(s) Of Engagement Activity 2022
URL https://www.preposterousuniverse.com/podcast/2022/10/17/214-antonio-padilla-on-large-numbers-and-the...
 
Description BBC Naked Scientist 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Discussed the physics of "Tipping point"
Year(s) Of Engagement Activity 2024
 
Description Big Issue Article 
Form Of Engagement Activity A magazine, newsletter or online publication
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Media (as a channel to the public)
Results and Impact Magazine article on Graham's Number and Black Holes
Year(s) Of Engagement Activity 2022
URL https://www.bigissue.com/culture/there-really-is-a-number-so-big-it-could-make-your-mind-implode/
 
Description Cardiff Scientific Society Talk 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Regional
Primary Audience Public/other audiences
Results and Impact Talk on Fantastic Numbers
Year(s) Of Engagement Activity 2024
 
Description Cartesian Cafe Podcast 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact podcast
Year(s) Of Engagement Activity 2023
 
Description Cheltenham Science Festival 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Public/other audiences
Results and Impact Book talk
Year(s) Of Engagement Activity 2023
 
Description Clare Burrage - Visiting Sharples School in Bolton 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Schools
Results and Impact Clare Burrage has been working with a school in Bolton, meeting with them online every six months, and will soon start visiting them, to help with their understanding of physics.
Year(s) Of Engagement Activity 2021,2022
 
Description Cool science radio interview 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact podcast
Year(s) Of Engagement Activity 2022
URL https://www.kpcw.org/podcast/cool-science-radio/2022-09-01/cool-science-radio-september-1-2022
 
Description Ed Copeland - Black Hole Mergers and Multi-Messenger Astronomy - Sixty Symbols 
Form Of Engagement Activity Engagement focused website, blog or social media channel
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Black Hole Mergers and Multi-Messenger Astronomy - Sixty Symbols
Year(s) Of Engagement Activity 2022
URL https://www.youtube.com/watch?v=aSUlCB0gNK8
 
Description Ed Copeland - Insights Public Lecture - Newcastle (April 2022) 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Regional
Primary Audience Public/other audiences
Results and Impact Ed Copeland
Insights Public Lecture - Newcastle (April 2022)
Year(s) Of Engagement Activity 2022
URL https://www.youtube.com/watch?v=DCDf_Jmqr3E
 
Description Ed Copeland - School visits with STFC moon rock - 750 pupils 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Schools
Results and Impact Ed Copeland
Took moon rock to five schools and used it to talk about gravity to 750 pupils from reception year to year 9. March 7-10, 2022
Year(s) Of Engagement Activity 2022
 
Description Ed Copeland and Antonio Padilla - NEWS: What's up with Muons? - Sixty Symbols 
Form Of Engagement Activity Engagement focused website, blog or social media channel
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact NEWS: What's up with Muons? - Sixty Symbols
Year(s) Of Engagement Activity 2021
URL https://www.youtube.com/watch?v=kBzn4o4z5Bk%20
 
Description European Astrofest 2023 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact talk
Year(s) Of Engagement Activity 2023
URL https://europeanastrofest.com
 
Description Faulkes Telescope - local schools Nottinghamshire -- Ed Copeland 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Schools
Results and Impact I book time on the Faulkes telescope and use it to show the Year 6 children galaxies in real time from Hawaii and Australia. The work was reported positively in a recent Ofsted report on Halam school
Year(s) Of Engagement Activity 2023,2024
 
Description History of the Universe documentary 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Why the Universe Shouldn't Exist
Year(s) Of Engagement Activity 2023
URL https://www.youtube.com/watch?v=CFpTzgk5jk0
 
Description Inquiring minds podcast 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact podcast interview
Year(s) Of Engagement Activity 2022
URL https://inquiring.show/episodes/389-these-numbers-explain-the-nature-of-reality
 
Description Liverpool Mathematical Society Public Lecture 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Public/other audiences
Results and Impact Talk on Fantastic Numbers
Year(s) Of Engagement Activity 2023
 
Description Mindscape with Sean Carroll 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact podcast
Year(s) Of Engagement Activity 2022
URL https://www.preposterousuniverse.com/podcast/2022/10/17/214-antonio-padilla-on-large-numbers-and-the...
 
Description Moon Rock 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Schools
Results and Impact took moon rock to a number of local schools in Nov 2014, us-
ing the opportunity to talk about gravity and science to over 1000 children and parents.
Year(s) Of Engagement Activity 2008,2012,2014,2022
 
Description My favourite equation, UoN PhysSoc TikTok - Anne Green 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Anne Green
UoN PhysSoc video - My favourite equation, UoN PhysSoc TikTok
Year(s) Of Engagement Activity 2022
 
Description Naked Scientists Podcast 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Broadcast live by the BBC in the East of England, nationally by BBC Radio 5 Live and internationally on ABC Radio National, Australia
Year(s) Of Engagement Activity 2023
 
Description New Scientist Article -- Antonio Padilla 
Form Of Engagement Activity A magazine, newsletter or online publication
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact New Scientist Article -- Antonio Padilla - June 2022
Year(s) Of Engagement Activity 2022
 
Description New Scientist Guest KeyBoard 
Form Of Engagement Activity A magazine, newsletter or online publication
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact Article on TREE(3) for New Scientist
Year(s) Of Engagement Activity 2022
URL https://institutions.newscientist.com/article/2336176-the-number-that-is-too-big-for-the-universe/
 
Description New Scientist Talk 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact Talk for New Scientist online
Year(s) Of Engagement Activity 2022
URL https://www.newscientist.com/science-events/fantastic-numbers/
 
Description New Scientist Talk June - Antonio Padilla 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact New Scientist Talk June
Year(s) Of Engagement Activity 2022
URL https://www.newscientist.com/science-events/fantastic-numbers/
 
Description New Scientist article 
Form Of Engagement Activity A magazine, newsletter or online publication
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact Magazine article on numbers and physics
Year(s) Of Engagement Activity 2022
URL https://institutions.newscientist.com/article/mg25533992-700-5-mind-bending-numbers-that-could-revea...
 
Description New Scientist guest keyboard July - podcast-Antonio Padilla 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact New Scientist guest keyboard July
Year(s) Of Engagement Activity 2022
URL https://institutions.newscientist.com/article/2336176-the-number-that-is-too-big-for-the-universe/
 
Description Newark Lit Fest Talk 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Public/other audiences
Results and Impact Talk on Fantastic Numbers
Year(s) Of Engagement Activity 2024
 
Description Next Big Ideas Club -Book Bites 
Form Of Engagement Activity Engagement focused website, blog or social media channel
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact Audio piece covering main ideas from my book, Fantastic Numbers and Where to Find Them
Year(s) Of Engagement Activity 2022
URL https://nextbigideaclub.com/magazine/fantastic-numbers-find-cosmic-quest-zero-infinity-bookbite/3600...
 
Description Nottingham Public Lecture Series 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Public/other audiences
Results and Impact Talk on Fantastic Numbers
Year(s) Of Engagement Activity 2023
 
Description Numberphile podcast 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact podcast
Year(s) Of Engagement Activity 2022
URL https://www.youtube.com/watch?v=-y1NmzE8p4M
 
Description Numberphile video 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact Numberphile video - Mole's star
Year(s) Of Engagement Activity 2023
URL https://www.youtube.com/watch?v=hzcdcrsyA9Y&list=PLt5AfwLFPxWL8KAJKO3WfHhJcWrJfjgfU&index=1
 
Description Numberphile video 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact YouTube vid
Year(s) Of Engagement Activity 2022
URL https://www.youtube.com/watch?v=KdZrxkix9Mk
 
Description Numberphile video 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact YouTube video for Numberphile
Year(s) Of Engagement Activity 2024
URL https://www.youtube.com/watch?v=beakj767uG4&t=209s
 
Description Numberphile video 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact YouTube vid
Year(s) Of Engagement Activity 2022
URL https://www.youtube.com/watch?v=k_TEoUF12Yk
 
Description Numberphile videos 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Tony Padilla and Ed Copeland have been involved in a a number of Numberphile videos. A recent one on the sum of the integers has attracted over 3 million hits on you tube.

Hundreds of emails from students and interested people from around the world. Invitations to talk at numerous schools, articles in the NYT, de Spiegel and other major newspapers.
Year(s) Of Engagement Activity 2013,2014,2015,2016,2017,2018,2019,2020,2021,2022
URL http://www.youtube.com/user/numberphile
 
Description Numberphle - Antonio Padilla 
Form Of Engagement Activity Engagement focused website, blog or social media channel
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Omicron (the symbol) in Mathematics - Numberphile
Year(s) Of Engagement Activity 2021
URL https://www.youtube.com/watch?v=JXtfKMH6X44
 
Description Paradigm Podcast 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Podcast
Year(s) Of Engagement Activity 2023
 
Description Podcast - Antonio Padilla 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Inquiring minds Sep
Year(s) Of Engagement Activity 2022
URL https://inquiring.show/episodes/389-these-numbers-explain-the-nature-of-reality
 
Description Podcast - Ed Copeland 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Numberphile podcast 2023 - Ed Copeland
Year(s) Of Engagement Activity 2023
URL https://www.numberphile.com/podcast/ed-copeland
 
Description Prof Ed Copeland - Talk at Trondheim Science Week 2021 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Schools
Results and Impact Presented opening talk at Trondheim Science Week 2021-- online
Mar 9 -11 2021
Year(s) Of Engagement Activity 2021
URL https://www.realfagsdagene.org
 
Description Public Talk 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Public/other audiences
Results and Impact Antonio Padilla
European Astrofest 2023 3&4 Feburary Kensington Conference and Events Centre
Year(s) Of Engagement Activity 2023
URL https://europeanastrofest.com
 
Description RI talk July - Antonio Padilla 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Public/other audiences
Results and Impact RI talk July
Year(s) Of Engagement Activity 2022
URL https://www.rigb.org/whats-on/mysterious-numbers-unlocking-secrets-universe
 
Description Rosliston Astro Group Talk 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Public/other audiences
Results and Impact Talk on Fantastic Numbers
Year(s) Of Engagement Activity 2024
 
Description Royal Institution talk 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact RI talk
Year(s) Of Engagement Activity 2022
URL https://www.rigb.org/whats-on/mysterious-numbers-unlocking-secrets-universe
 
Description School talks 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? Yes
Geographic Reach National
Primary Audience Schools
Results and Impact Generally very positive feedback from staff and students who appreciate us bringing cutting edge research ideas into the classroom.

See above.
Year(s) Of Engagement Activity Pre-2006,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2021,2022
 
Description Simons Symposium on Origins of the Universe, 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact workshop talk
Year(s) Of Engagement Activity 2022
URL https://www.simonsfoundation.org/event/origins-of-the-universe-2022/
 
Description Sixty Symbols - Antonio Padilla 
Form Of Engagement Activity Engagement focused website, blog or social media channel
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Donut-Shaped Planets - Sixty Symbols
Year(s) Of Engagement Activity 2021
URL https://www.youtube.com/watch?v=fMlGs4X67q8&list=PLcUY9vudNKBPJmX64Jay51cdZTKMz4ACs&index=19&t=217s
 
Description Sixty Symbols - Antonio Padilla and Ed Copeland 
Form Of Engagement Activity Engagement focused website, blog or social media channel
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact NEWS: Seeing Behind a Black Hole - Sixty Symbols
Year(s) Of Engagement Activity 2021
URL https://www.youtube.com/watch?v=Lub4EIO7hX8
 
Description Sixty Symbols - Antonio Padilla and Ed Copeland 
Form Of Engagement Activity Engagement focused website, blog or social media channel
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact The Incredible Steven Weinberg (1933-2021) - Sixty Symbols
Year(s) Of Engagement Activity 2021
URL https://www.youtube.com/watch?v=9udJqqF_0Pc
 
Description Sixty Symbols Videos 
Form Of Engagement Activity A press release, press conference or response to a media enquiry/interview
Part Of Official Scheme? Yes
Type Of Presentation Keynote/Invited Speaker
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact We have a big impact with these videos receiving thousands of comments on the videos and emails sent thanking us for the work.

See above.
Year(s) Of Engagement Activity 2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022
URL http://www.youtube.com/user/sixtysymbols
 
Description Sixty Symbols video - Ed Copeland 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact A Cosmological Wish List for the JWST - Sixty Symbols - Ed Copeland
Year(s) Of Engagement Activity 2022
URL https://www.youtube.com/watch?v=OnMl_56qLoI
 
Description Sixty Symbols video - Ed Copeland and Antonio Padilla 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Quantum Entanglement and the 2022 Nobel Prize in Physics - Sixty Symbols
Year(s) Of Engagement Activity 2022
URL https://www.youtube.com/watch?v=tuyY2RlseBM
 
Description Sixty symbols video - Ed Copeland 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Hidden variables (extra) - Sixty Symbols - Ed Copeland
Year(s) Of Engagement Activity 2022
URL https://www.youtube.com/watch?v=t35Q7C-DhaU&t=163s
 
Description String Phenomenology Conference 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact string pheno
Year(s) Of Engagement Activity 2022
URL http://www.maths.liv.ac.uk/stringpheno2022/index.html
 
Description Stuff to Blow Your Mind Podcast 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact Podcast
Year(s) Of Engagement Activity 2022
URL https://podcasts.apple.com/gb/podcast/fantastic-numbers-with-antonio-padilla/id350359306?i=100057143...
 
Description Talk at Nakshatra NITT "World Space week" 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Undergraduate students
Results and Impact talk at undergrad society in India
Year(s) Of Engagement Activity 2022
URL https://medium.com/nakshatra
 
Description Talk on 'The search for dark matter', Pint of Science, Nottingham, May 23 (audience ~50) -- Anne Green 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Regional
Primary Audience Public/other audiences
Results and Impact Talk on 'The search for dark matter', Pint of Science, Nottingham, May 23 (audience ~50)
Year(s) Of Engagement Activity 2023
 
Description Talks at Google 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact talk online
Year(s) Of Engagement Activity 2022
URL https://www.youtube.com/watch?v=nFnGw7Dik9o
 
Description Talks at Google Sep - Antonio Padilla 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Regional
Primary Audience Industry/Business
Results and Impact Talks at Google Sep
Year(s) Of Engagement Activity 2022
URL https://www.youtube.com/watch?v=nFnGw7Dik9o
 
Description The Anfield Wrap Podcast 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Insert on Fantastic Numbers
Year(s) Of Engagement Activity 2023
 
Description Writers Voice podcast 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact podcast
Year(s) Of Engagement Activity 2022
URL https://www.writersvoice.net/2022/10/antonio-padilla-fantastic-numbers-and-where-to-find-them-poet-r...
 
Description YouTube video 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Sixty Symbols video: what is a photon?
Year(s) Of Engagement Activity 2024
URL https://youtu.be/6dGKU5d1PRk?si=OazTefDL1o_-h4WW
 
Description YouTube video 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Numberphile video: Does -1/12 protect us from infinity ? Based on research paper
Year(s) Of Engagement Activity 2024
URL https://www.youtube.com/watch?v=beakj767uG4&t=209s
 
Description YouTube video 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Sixty symbols video: IS string theory correct?
Year(s) Of Engagement Activity 2025
URL https://youtu.be/Qj5tz8Vv6OQ
 
Description YouTube video 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Sixty Symbols videos: where are the white holes
Year(s) Of Engagement Activity 2024
URL https://youtu.be/cGHDl_HqdAg?si=3gQD9ImSSyz1DXg_
 
Description YouTube video 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Numberphile video: Apocalyptic numbers
Year(s) Of Engagement Activity 2024
URL https://www.youtube.com/playlist?list=PLt5AfwLFPxWKZo-UTtmDfDZeudTOCB9r2
 
Description YouTube video NUmberphile 
Form Of Engagement Activity Engagement focused website, blog or social media channel
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact YouTube video
Omicron (the symbol) in Mathematics - Numberphile
Year(s) Of Engagement Activity 2021
URL https://www.youtube.com/watch?v=JXtfKMH6X44&feature=emb_imp_woyt