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1. Quantum gravity phenomenology at the dawn of the multi-messenger era—A review

Author

Addazi, A., Alvarez-Muniz, J., Alves Batista, R., Amelino-Camelia, G., Antonelli, V., Arzano, M., Asorey, M., Atteia, J.L., Bahamonde, S., Bajardi, F., Ballesteros, A., Baret, B., Barreiros, D. M., Basilakos, S., Benisty, D., Birnholtz, O., Blanco-Pillado, J., Blas, D., Bolmont, J., Boncioli, D., Bosso, P., Calcagni, G., Capozziello, S., Carmona, J. M., Cerci, S., Chernyakova, M., Clesse, S., Coelho, J. A. B., Colak, S. M., Cortes, J. L., Das, S., D'Esposito, V., Demirci, M., Di Luca, M. G., di Matteo, A., Dimitrijevic, D., Djordjevic, G., Prester, D. D., Eichhorn, A., Ellis, J., Escamilla-Rivera, C., Fabiano, G., Franchino-Viñas, S. A., Frassino, A. M., Frattulillo, D., Funk, S., Fuster, A., Gamboa, J., Gent, A., Gergely, L. Á., Giammarchi, M., Giesel, K., Glicenstein, J.F., Gracia-Bondía, J., Gracia-Ruiz, R., Gubitosi, G., Guendelman, E. I., Gutierrez-Sagredo, I. Haegel, L., Heefer, S., Held, A., Herranz, F. J., Hinderer, T., Illana, J. I., Ioannisian, A., Jetzer, P., Joaquim, F. R., Kampert, K.H., Uysal, A. K., Katori, T., Kazarian, N., Kerszberg, D., Kowalski-Glikman, J., Kuroyanagi, S., Lämmerzahl, C., Said, J. L., Liberati, S., Lim, E., Lobo, I. P., López-Moya, M., Luciano, G. G., Manganaro, M., Marcianò, A., Martín-Moruno, P., Martinez, M., Martínez-Huerta, H., Martínez-Miravé, P., Masip, M., Mattingly, D., Mavromatos, N., Mazumdar, A., Méndez, F., Mercati, F., Micanovic, S., Mielczarek, J., Miller, A. L., Milosevic, M., Minic, D., Miramonti, L., Mitsou, V. A., Moniz, P., Mukherjee, S., Nardini, G., Navas, S., Niechciol, M., Nielsen, A. B., Obers, N. A., Oikonomou, F., Oriti, D., Paganini, C. F., Palomares-Ruiz, S., Pasechnik, R., Pasic, V., Pérez de los Heros, C., Pfeifer, C., Pieroni, M., Piran, T., Platania, A., Rastgoo, S., Relancio, J. J., Reyes, M. A., Ricciardone, A., Risse, M., Frias, M. D. R., Rosati, G., Rubiera-Garcia, D., Sahlmann, H., Sakellariadou, M., Salamida, F., Saridakis, E. N., Satunin, P., Schiffer, M., Schüssler, F., Sigl, G., Sitarek, J., Peracaula, J. S., Sopuerta, C. F., Sotiriou, T. P., Spurio, M., Staicova, D., Stergioulas, N., Stoica, S., Striškovic, J., Stuttard, T., Cerci, D. S., Tavakoli, Y., Ternes, C. A., Terzic, T., Thiemann, T., Tinyakov, P., Torri, M. D. C., Tórtola, M., Trimarelli, C., Trzesniewski, T., Tureanu, A., Urban, F. R., Vagenas, E. C., Vernieri, D., Vitagliano, V., Wallet, J.C., and Zornoza, J. D.

Abstract

The exploration of the universe has recently entered a new era thanks to the multi-messenger paradigm, characterized by a continuous increase in the quantity and quality of experimental data that is obtained by the detection of the various cosmic messengers (photons, neutrinos, cosmic rays and gravitational waves) from numerous origins. They give us information about their sources in the universe and the properties of the intergalactic medium. Moreover, multi-messenger astronomy opens up the possibility to search for phenomenological signatures of quantum gravity. On the one hand, the most energetic events allow us to test our physical theories at energy regimes which are not directly accessible in accelerators; on the other hand, tiny effects in the propagation of very high energy particles could be amplified by cosmological distances. After decades of merely theoretical investigations, the possibility of obtaining phenomenological indications of Planck-scale effects is a revolutionary step in the quest for a quantum theory of gravity, but it requires cooperation between different communities of physicists (both theoretical and experimental). This review, prepared within the COST Action CA18108 “Quantum gravity phenomenology in the multi-messenger approach”, is aimed at promoting this cooperation by giving a state-of-the art account of the interdisciplinary expertise that is needed in the effective search of quantum gravity footprints in the production, propagation and detection of cosmic messengers. © 2022 The Authors

Published
2022

2. Algebraic Quantum Gravity (AQG) III. Semiclassical

Author

Giesel, K. and Thiemann, T.

Abstract

In the two previous papers of this series we defined a new combinatorical approach to quantum gravity, Algebraic Quantum Gravity (AQG). We showed that AQG reproduces the correct infinitesimal dynamics in the semiclassical limit, provided one incorrectly substitutes the non -- Abelean group SU(2) by the Abelean group $U(1)^3$ in the calculations. The mere reason why that substitution was performed at all is that in the non -- Abelean case the volume operator, pivotal for the definition of the dynamics, is not diagonisable by analytical methods. This, in contrast to the Abelean case, so far prohibited semiclassical computations. In this paper we show why this unjustified substitution nevertheless reproduces the correct physical result: Namely, we introduce for the first time semiclassical perturbation theory within AQG (and LQG) which allows to compute expectation values of interesting operators such as the master constraint as a power series in $\hbar$ with error control. That is, in particular matrix elements of fractional powers of the volume operator can be computed with extremely high precision for sufficiently large power of $\hbar$ in the $\hbar$ expansion. With this new tool, the non -- Abelean calculation, although technically more involved, is then exactly analogous to the Abelean calculation, thus justifying the Abelean analysis in retrospect. The results of this paper turn AQG into a calculational discipline.

Published
2007

3. Quantum gravity phenomenology at the dawn of the multi-messenger era—A review

Author

A. Addazi, J. Alvarez-Muniz, R. Alves Batista, G. Amelino-Camelia, V. Antonelli, M. Arzano, M. Asorey, J.-L. Atteia, S. Bahamonde, F. Bajardi, A. Ballesteros, B. Baret, D.M. Barreiros, S. Basilakos, D. Benisty, O. Birnholtz, J.J. Blanco-Pillado, D. Blas, J. Bolmont, D. Boncioli, P. Bosso, G. Calcagni, S. Capozziello, J.M. Carmona, S. Cerci, M. Chernyakova, S. Clesse, J.A.B. Coelho, S.M. Colak, J.L. Cortes, S. Das, V. D’Esposito, M. Demirci, M.G. Di Luca, A. di Matteo, D. Dimitrijevic, G. Djordjevic, D. Dominis Prester, A. Eichhorn, J. Ellis, C. Escamilla-Rivera, G. Fabiano, S.A. Franchino-Viñas, A.M. Frassino, D. Frattulillo, S. Funk, A. Fuster, J. Gamboa, A. Gent, L.Á. Gergely, M. Giammarchi, K. Giesel, J.-F. Glicenstein, J. Gracia-Bondía, R. Gracia-Ruiz, G. Gubitosi, E.I. Guendelman, I. Gutierrez-Sagredo, L. Haegel, S. Heefer, A. Held, F.J. Herranz, T. Hinderer, J.I. Illana, A. Ioannisian, P. Jetzer, F.R. Joaquim, K.-H. Kampert, A. Karasu Uysal, T. Katori, N. Kazarian, D. Kerszberg, J. Kowalski-Glikman, S. Kuroyanagi, C. Lämmerzahl, J. Levi Said, S. Liberati, E. Lim, I.P. Lobo, M. López-Moya, G.G. Luciano, M. Manganaro, A. Marcianò, P. Martín-Moruno, Manel Martinez, Mario Martinez, H. Martínez-Huerta, P. Martínez-Miravé, M. Masip, D. Mattingly, N. Mavromatos, A. Mazumdar, F. Méndez, F. Mercati, S. Micanovic, J. Mielczarek, A.L. Miller, M. Milosevic, D. Minic, L. Miramonti, V.A. Mitsou, P. Moniz, S. Mukherjee, G. Nardini, S. Navas, M. Niechciol, A.B. Nielsen, N.A. Obers, F. Oikonomou, D. Oriti, C.F. Paganini, S. Palomares-Ruiz, R. Pasechnik, V. Pasic, C. Pérez de los Heros, C. Pfeifer, M. Pieroni, T. Piran, A. Platania, S. Rastgoo, J.J. Relancio, M.A. Reyes, A. Ricciardone, M. Risse, M.D. Rodriguez Frias, G. Rosati, D. Rubiera-Garcia, H. Sahlmann, M. Sakellariadou, F. Salamida, E.N. Saridakis, P. Satunin, M. Schiffer, F. Schüssler, G. Sigl, J. Sitarek, J. Solà Peracaula, C.F. Sopuerta, T.P. Sotiriou, M. Spurio, D. Staicova, N. Stergioulas, S. Stoica, J. Strišković, T. Stuttard, D. Sunar Cerci, Y. Tavakoli, C.A. Ternes, T. Terzić, T. Thiemann, P. Tinyakov, M.D.C. Torri, M. Tórtola, C. Trimarelli, T. Trześniewski, A. Tureanu, F.R. Urban, E.C. Vagenas, D. Vernieri, V. Vitagliano, J.-C. Wallet, J.D. Zornoza, Addazi, A., Alvarez-Muniz, J., Alves Batista, R., Amelino-Camelia, G., Antonelli, V., Arzano, M., Asorey, M., Atteia, J. -L., Bahamonde, S., Bajardi, F., Ballesteros, A., Baret, B., Barreiros, D. M., Basilakos, S., Benisty, D., Birnholtz, O., Blanco-Pillado, J. J., Blas, D., Bolmont, J., Boncioli, D., Bosso, P., Calcagni, G., Capozziello, S., Carmona, J. M., Cerci, S., Chernyakova, M., Clesse, S., Coelho, J. A. B., Colak, S. M., Cortes, J. L., Das, S., D'Esposito, V., Demirci, M., Di Luca, M. G., di Matteo, A., Dimitrijevic, D., Djordjevic, G., Prester, D. D., Eichhorn, A., Ellis, J., Escamilla-Rivera, C., Fabiano, G., Franchino-Vinas, S. A., Frassino, A. M., Frattulillo, D., Funk, S., Fuster, A., Gamboa, J., Gent, A., Gergely, L. A., Giammarchi, M., Giesel, K., Glicenstein, J. -F., Gracia-Bondia, J., Gracia-Ruiz, R., Gubitosi, G., Guendelman, E. I., Gutierrez-Sagredo, I., Haegel, L., Heefer, S., Held, A., Herranz, F. J., Hinderer, T., Illana, J. I., Ioannisian, A., Jetzer, P., Joaquim, F. R., Kampert, K. -H., Uysal, A. K., Katori, T., Kazarian, N., Kerszberg, D., Kowalski-Glikman, J., Kuroyanagi, S., Lammerzahl, C., Said, J. L., Liberati, S., Lim, E., Lobo, I. P., Lopez-Moya, M., Luciano, G. G., Manganaro, M., Marciano, A., Martin-Moruno, P., Martinez, M., Martinez-Huerta, H., Martinez-Mirave, P., Masip, M., Mattingly, D., Mavromatos, N., Mazumdar, A., Mendez, F., Mercati, F., Micanovic, S., Mielczarek, J., Miller, A. L., Milosevic, M., Minic, D., Miramonti, L., Mitsou, V. A., Moniz, P., Mukherjee, S., Nardini, G., Navas, S., Niechciol, M., Nielsen, A. B., Obers, N. A., Oikonomou, F., Oriti, D., Paganini, C. F., Palomares-Ruiz, S., Pasechnik, R., Pasic, V., Perez de los Heros, C., Pfeifer, C., Pieroni, M., Piran, T., Platania, A., Rastgoo, S., Relancio, J. J., Reyes, M. A., Ricciardone, A., Risse, M., Frias, M. D. R., Rosati, G., Rubiera-Garcia, D., Sahlmann, H., Sakellariadou, M., Salamida, F., Saridakis, E. N., Satunin, P., Schiffer, M., Schussler, F., Sigl, G., Sitarek, J., Peracaula, J. S., Sopuerta, C. F., Sotiriou, T. P., Spurio, M., Staicova, D., Stergioulas, N., Stoica, S., Striskovic, J., Stuttard, T., Cerci, D. S., Tavakoli, Y., Ternes, C. A., Terzic, T., Thiemann, T., Tinyakov, P., Torri, M. D. C., Tortola, M., Trimarelli, C., Trzesniewski, T., Tureanu, A., Urban, F. R., Vagenas, E. C., Vernieri, D., Vitagliano, V., Wallet, J. -C., Zornoza, J. D., AstroParticule et Cosmologie (APC (UMR_7164)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Laboratoire de Physique Nucléaire et de Hautes Énergies (LPNHE (UMR_7585)), Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique des 2 Infinis Irène Joliot-Curie (IJCLab), Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), A. Addazi, J. Alvarez-Muniz, R. Alves Batista, G. Amelino-Camelia, V. Antonelli, M. Arzano, M. Asorey, J.-L. Atteia, S. Bahamonde, F. Bajardi, A. Ballestero, B. Baret, D.M. Barreiro, S. Basilako, D. Benisty, O. Birnholtz, J.J. Blanco-Pillado, D. Bla, J. Bolmont, D. Boncioli, P. Bosso, G. Calcagni, S. Capozziello, J.M. Carmona, S. Cerci, M. Chernyakov, S. Clesse, J.A.B. Coelho, S.M. Colak, J.L. Corte, S. Da, V. D???Esposito, M. Demirci, M.G. Di Luca, A. di Matteo, D. Dimitrijevic, G. Djordjevic, D. Dominis Prester, A. Eichhorn, J. Elli, C. Escamilla-Rivera, G. Fabiano, S.A. Franchino-Vi??a, A.M. Frassino, D. Frattulillo, S. Funk, A. Fuster, J. Gamboa, A. Gent, L.??. Gergely, M. Giammarchi, K. Giesel, J.-F. Glicenstein, J. Gracia-Bond??a, R. Gracia-Ruiz, G. Gubitosi, E.I. Guendelman, I. Gutierrez-Sagredo, L. Haegel, S. Heefer, A. Held, F.J. Herranz, T. Hinderer, J.I. Illana, A. Ioannisian, P. Jetzer, F.R. Joaquim, K.-H. Kampert, A. Karasu Uysal, T. Katori, N. Kazarian, D. Kerszberg, J. Kowalski-Glikman, S. Kuroyanagi, C. L??mmerzahl, J. Levi Said, S. Liberati, E. Lim, I.P. Lobo, M. L??pez-Moya, G.G. Luciano, M. Manganaro, A. Marcian??, P. Mart??n-Moruno, Manel Martinez, Mario Martinez, H. Mart??nez-Huerta, P. Mart??nez-Mirav??, M. Masip, D. Mattingly, N. Mavromato, A. Mazumdar, F. M??ndez, F. Mercati, S. Micanovic, J. Mielczarek, A.L. Miller, M. Milosevic, D. Minic, L. Miramonti, V.A. Mitsou, P. Moniz, S. Mukherjee, G. Nardini, S. Nava, M. Niechciol, A.B. Nielsen, N.A. Ober, F. Oikonomou, D. Oriti, C.F. Paganini, S. Palomares-Ruiz, R. Pasechnik, V. Pasic, C. P??rez de los Hero, C. Pfeifer, M. Pieroni, T. Piran, A. Platania, S. Rastgoo, J.J. Relancio, M.A. Reye, A. Ricciardone, M. Risse, M.D. Rodriguez Fria, G. Rosati, D. Rubiera-Garcia, H. Sahlmann, M. Sakellariadou, F. Salamida, E.N. Saridaki, P. Satunin, M. Schiffer, F. Sch??ssler, G. Sigl, J. Sitarek, J. Sol?? Peracaula, C.F. Sopuerta, T.P. Sotiriou, M. Spurio, D. Staicova, N. Stergioula, S. Stoica, J. Stri??kovi??, T. Stuttard, D. Sunar Cerci, Y. Tavakoli, C.A. Terne, T. Terzi??, T. Thiemann, P. Tinyakov, M.D.C. Torri, M. T??rtola, C. Trimarelli, T. Trze??niewski, A. Tureanu, F.R. Urban, E.C. Vagena, D. Vernieri, V. Vitagliano, J.-C. Wallet, J.D. Zornoza, Laboratoire de Physique Théorique d'Orsay [Orsay] (LPT), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11), Ministerio de Ciencia, Innovación y Universidades (España), Agencia Estatal de Investigación (España), Generalitat de Catalunya, European Commission, Xunta de Galicia, Ministerio de Economía y Competitividad (España), European Research Council, Eusko Jaurlaritza, Generalitat Valenciana, Japan Society for the Promotion of Science, and Comunidad de Madrid

Subjects
High Energy Physics - Theory, CAUSAL DYNAMICAL TRIANGULATIONS, Ultra-high-energy cosmic rays, [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], Lorentz invariance violation and deformation, Gamma-ray astronomy, Cosmic neutrinos, Gravitational waves, General Relativity and Quantum Cosmology, Lorentz transformations, Gravitational waves -- Detection, High Energy Physics - Phenomenology (hep-ph), Astronomi, astrofysik och kosmologi, Gamma ray astronomy, Astronomy, Astrophysics and Cosmology, Cosmic neutrino, astro-ph.HE, High Energy Astrophysical Phenomena (astro-ph.HE), General Relativity and Cosmology, hep-th, hep-ph, Quantum cosmology, ENERGY COSMIC-RAYS, High Energy Physics - Phenomenology, [PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], Neutrinos -- Scattering, Astrophysics - High Energy Astrophysical Phenomena, Particle Physics - Theory, Gravitational wave, ACTIVE GALACTIC NUCLEI, Astrophysics and Astronomy, Nuclear and High Energy Physics, [PHYS.ASTR.HE]Physics [physics]/Astrophysics [astro-ph]/High Energy Astrophysical Phenomena [astro-ph.HE], gr-qc, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), GAMMA-RAY BURST, DOUBLY-SPECIAL RELATIVITY, Ultra-high-energy cosmic ray, Particle Physics - Phenomenology, PRIMORDIAL BLACK-HOLES, Matematikk og Naturvitenskap: 400::Fysikk: 430 [VDP], COHERENT STATES GCS, Quantum gravity, GENERALIZED UNCERTAINTY PRINCIPLE, EXTRAGALACTIC BACKGROUND LIGHT, High Energy Physics - Theory (hep-th), [PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph], LORENTZ INVARIANCE VIOLATION
Abstract

The exploration of the universe has recently entered a new era thanks to the multimessenger paradigm, characterized by a continuous increase in the quantity and quality of experimental data that is obtained by the detection of the various cosmic messengers (photons, neutrinos, cosmic rays and gravitational waves) from numerous origins. They give us information about their sources in the universe and the properties of the intergalactic medium. Moreover, multi-messenger astronomy opens up the possibility to search for phenomenological signatures of quantum gravity. On the one hand, the most energetic events allow us to test our physical theories at energy regimes which are not directly accessible in accelerators; on the other hand, tiny effects in the propagation of very high energy particles could be amplified by cosmological distances. After decades of merely theoretical investigations, the possibility of obtaining phenomenological indications of Planck-scale effects is a revolutionary step in the quest for a quantum theory of gravity, but it requires cooperation between different communities of physicists (both theoretical and experimental). This review, prepared within the COST Action CA18108 ‘‘Quantum gravity phenomenology in the multi-messenger approach", is aimed at promoting this cooperation by giving a state-of-the art account of the interdisciplinary expertise that is needed in the effective search of quantum gravity footprints in the production, propagation and detection of cosmic messengers., Talent Scientific Research Program of College of Physics, Sichuan University 1082204112427, Fostering Program in Disciplines Possessing Novel Features for Natural Science of Sichuan University 2020SCUNL209, 1000 Talent program of Sichuan province 2021, Xunta de Galicia, European Commission European Union ERDF, "Maria de Maeztu'' Units of Excellence program MDM-2016-0692, Red Tematica Nacional de Astroparticulas RED2018-102661-T, La Caixa Foundation 100010434, European Commission 847648 LCF/BQ/PI21/11830030 754510, Ministry of Education, Science & Technological Development, Serbia 451-03-9/2021-14/200124, FSR Incoming Postdoctoral Fellowship Ministry of Education, Science and Technological Development, Serbia 451-03-9/2021-14/200124, University of Rijeka grant uniri-prirod-18-48, Croatian Science Foundation (HRZZ) IP-2016-06-9782, Villum Fonden 29405 DGA-FSE 2020-E2117R, European Regional Development Fund through the Center of Excellence (TK133) "The Dark Side of the Universe'' European Regional Development Fund (ESIF/ERDF), Ministry of Education, Youth & Sports - Czech Republic CoGraDS-CZ.02.1.01/0.0/0.0/15 003/0000437, Blavatnik grant, Basque Government IT-97916 Basque Foundation for Science (IKERBASQUE), European Space Agency C4000120711 4000132310, FNRS (Belgian Fund for Research), Programa de Apoyo a Proyectos de Investigacion e Innovacion Tecnologica (PAPIIT), Universidad Nacional Autonoma de Mexico TA100122, National University of La Plata X909 DICYT 042131GR, National Research, Development & Innovation Office (NRDIO) - Hungary 123996, FQXi, Swiss National Science Foundation (SNSF), European Commission 181461 199307, Netherlands Organization for Scientific Research (NWO) 680-91-119 15MV71, Ministry of Education, Culture, Sports, Science and Technology, Japan (MEXT) Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research (KAKENHI) 20H01899 20H05853 JP21F21789, Estonian Research Council PRG356, Julian Schwinger Foundation, Generalitat Valenciana Excellence PROMETEO-II/2017/033 PROMETEO/2018/165, Istituto Nazionale di Fisica Nucleare (INFN), European ITN project HIDDeN H2020-MSCA-ITN-2019//860881-HIDDeN, Swedish Research Council, European Commission 2016-05996 European Research Council (ERC) European Commission 668679, Advanced ERC grant TReX, Ministry of Education, Universities and Research (MIUR) 2017X7X85K, Fonds de la Recherche Scientifique - FNRS 4.4501.18, Ministry of Research, Innovation and Digitization - Romania PN19-030102-INCDFM PN-III-P4ID-PCE-2020-2374, United States Department of Energy (DOE) DE-SC0020262, Ministry of Science, ICT & Future Planning, Republic of Korea 075-15-2020-778, German Academic Scholarship Foundation German Research Foundation (DFG) 408049454 420243324 425333893 445990517 Germany's Excellence Strategy (EXC 2121 "Quantum Universe'') 390833306 390837967 Federal Ministry of Education & Research (BMBF) 05 A20GU2 05 A20PX1, Centro de Excelencia "Severo Ochoa'' SEV-2016-0588, CERCA program of the Generalitat de Catalunya, Agencia de Gestio D'Ajuts Universitaris de Recerca Agaur (AGAUR) Generalitat de Catalunya 2017-SGR-1469 2017-SGR-929 ICCUB CEX2019-000918-M, National Science Centre, Poland 2019/33/B/ST2/00050 2017/27/B/ST2/01902, Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPQ) 306414/2020-1, Dicyt-USACH 041931MF, National Science Fund of Bulgaria KP-06-N 38/11 RCN ROMFORSK 302640, Comunidad de Madrid 2018-T1/TIC-10431 2019-T1/TIC-13177 S2018/NMT-4291, UK Research & Innovation (UKRI), Science & Technology Facilities Council (STFC) ST/T000759/1 ST/P000258/1 ST/T000732/1 ST/V005596/1, Portuguese Foundation for Science and Technology UIDB/00618/2020 UIDB/00777/2020 UIDP/00777/2020 CERN/FIS-PAR/0004/2019 PTDC/FIS-PAR/29436/2017 PTDC/FISPAR/31938/2017 PTDC/FIS-OUT/29048/2017 SFRH/BD/137127/2018, Centre National de la Recherche Scientifique (CNRS), LabEx UnivEarthS ANR-10-LABX-0023 ANR18-IDEX-0001, Junta de Andalucia European Commission A-FQM-053-UGR18, Natural Sciences and Engineering Research Council of Canada (NSERC) RGPIN-2021-03644, National Science Centre Poland Sonata Bis 2019/33/B/ST2/00050 DEC-2017/26/E/ST2/00763, Natural Sciences and Engineering Research Council of Canada (NSERC) DGIID-DGA 2015-E24/2, Spanish Research State Agency and Ministerio de Ciencia e Innovacion MCIN/AEI PID2019-104114RB-C32 PID2019-105544GB-I00 PID2019-105614GB-C21 PID2019106515GB-I00 PID2019-106802GB-I00 PID2019-107394GB-I00 PID2019-107844GB-C21 PID2019-107847RB-C41 MCIN/AEI PGC2018-095328-B-I00 PGC2018-094856-B-I00 PGC2018-096663-B-C41 PGC2018-096663-B-C44 PGC2018-094626-BC21 PGC2018-101858-B-I00 FPA2017-84543-P FPA2016-76005-C2-1-P, Spanish 'Ministerio de Universidades' BG20/00228 Spanish Government PID2020-115845GBI00 Generalitat de Catalunya Comunidad de Madrid S2018/NMT-4291 Spanish Government PID2019-105544GB-I00, Perimeter Institute for Theoretical Physics, Government of Canada through the Department of Innovation, Science and Economic Development, Province of Ontario through the Ministry of Colleges and Universities, Centre National de la Recherche Scientifique (CNRS), Netherlands Organization for Scientific Research (NWO), Fundamental Questions Institute (FQXi), European Cooperation in Science and Technology (COST) CA18108, Research Council of University of Guilan, Iniziativa Specifica TEONGRAV Iniziativa Specifica QGSKY Iniziativa Specifica QUAGRAP Iniziativa Specifica GeoSymQFT, the Spanish Research State Agency and Ministerio de Ciencia e Innovacion MCIN/AEI PID2020-115845GBI00 PID2019-108485GB-I00 PID2020-113334GB-I00 PID2020-113701GB-I00 PID2020-113775GB-I00 PID2020-118159GB-C41 PID2020-118159GA-C42 PRE2019-089024, Rothchild grant UID/MAT/00212/2020 FPU18/04571

Published
2022
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