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In this paper we review many interesting open problems in mathematical physics which may be attacked with the help of tools from constructive field theory. They could give work for future mathematical physicists trained with the…

Mathematical Physics · Physics 2009-10-31 V. Rivasseau

In this lecture note, I discuss why many of us are expecting rich physics at the TeV scale, drawing analogies from the history of physics in the last century. Then I review some of the possible candidates of new physics at this energy…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hitoshi Murayama

Outlooks of particle physics researchers on their careers and the general challenges in establishing their careers over different career stages are surveyed using a questionnaire distributed to participants in an ERC-funded research…

Physics Education · Physics 2020-01-07 Kristin Lohwasser

Our knowledge about the universe has increased tremendously in the last three decades or so --- thanks to the progress in observations --- but our understanding has improved very little. There are several fundamental questions about our…

General Relativity and Quantum Cosmology · Physics 2017-08-22 T. Padmanabhan

In recent years, the intersection of algebra, geometry, and combinatorics with particle physics and cosmology has led to significant advances. Central to this progress is the twofold formulation of the study of particle interactions and…

Algebraic Geometry · Mathematics 2025-05-12 Claudia Fevola , Anna-Laura Sattelberger

Closing talk at Snowmass 2001: a summer study on the future of particle physics.

High Energy Physics - Phenomenology · Physics 2009-05-05 Chris Quigg

In this review, we outline the expected tests of gravity that will be achieved at cosmological scales in the upcoming decades. We focus mainly on constraints on phenomenologically parameterized deviations from general relativity, which…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-21 Matteo Martinelli , Santiago Casas

Over the past 25 years, I have been involved in some intriguing developments in the foundations of physics, exploring the quantum reality problem, the relationship between quantum theory and gravity and the interplay between consciousness…

Quantum Physics · Physics 2026-04-30 Adrian Kent

In this paper, which is of programmatic rather than quantitative nature, we aim to further delineate and sharpen the future potential of the LISA mission in the area of fundamental physics. Given the very broad range of topics that might be…

General Relativity and Quantum Cosmology · Physics 2020-09-02 Enrico Barausse , Emanuele Berti , Thomas Hertog , Scott A. Hughes , Philippe Jetzer , Paolo Pani , Thomas P. Sotiriou , Nicola Tamanini , Helvi Witek , Kent Yagi , Nicolas Yunes , T. Abdelsalhin , A. Achucarro , K. V. Aelst , N. Afshordi , S. Akcay , L. Annulli , K. G. Arun , I. Ayuso , V. Baibhav , T. Baker , H. Bantilan , T. Barreiro , C. Barrera-Hinojosa , N. Bartolo , D. Baumann , E. Belgacem , E. Bellini , N. Bellomo , I. Ben-Dayan , I. Bena , R. Benkel , E. Bergshoefs , L. Bernard , S. Bernuzzi , D. Bertacca , M. Besancon , F. Beutler , F. Beyer , S. Bhagwat , J. Bicak , S. Biondini , S. Bize , D. Blas , C. Boehmer , K. Boller , B. Bonga , C. Bonvin , P. Bosso , G. Bozzola , P. Brax , M. Breitbach , R. Brito , M. Bruni , B. Brügmann , H. Bulten , A. Buonanno , A. O. Burke , L. M. Burko , C. Burrage , F. Cabral , G. Calcagni , C. Caprini , A. Cárdenas-Avendaño , M. Celoria , K. Chatziioannou , D. Chernoff , K. Clough , A. Coates , D. Comelli , G. Compère , D. Croon , D. Cruces , G. Cusin , C. Dalang , U. Danielsson , S. Das , S. Datta , J. de Boer , V. De Luca , C. De Rham , V. Desjacques , K. Destounis , F. Di Filippo , A. Dima , E. Dimastrogiovanni , S. Dolan , D. Doneva , F. Duque , R. Durrer , W. East , R. Easther , M. Elley , J. R. Ellis , R. Emparan , J. M. Ezquiaga , M. Fairbairn , S. Fairhurst , H. F. Farmer , M. R. Fasiello , V. Ferrari , P. G. Ferreira , G. Ficarra , P. Figueras , S. Fisenko , S. Foffa , N. Franchini , G. Franciolini , K. Fransen , J. Frauendiener , N. Frusciante , R. Fujita , J. Gair , A. Ganz , P. Garcia , J. Garcia-Bellido , J. Garriga , R. Geiger , C. Geng , L. Á. Gergely , C. Germani , D. Gerosa , S. B. Giddings , E. Gourgoulhon , P. Grandclement , L. Graziani , L. Gualtieri , D. Haggard , S. Haino , R. Halburd , W. -B. Han , A. J. Hawken , A. Hees , I. S. Heng , J. Hennig , C. Herdeiro , S. Hervik , J. v. Holten , C. J. D. Hoyle , Y. Hu , M. Hull , T. Ikeda , M. Isi , A. Jenkins , F. Julié , E. Kajfasz , C. Kalaghatgi , N. Kaloper , M. Kamionkowski , V. Karas , S. Kastha , Z. Keresztes , L. Kidder , T. Kimpson , A. Klein , S. Klioner , K. Kokkotas , H. Kolesova , S. Kolkowitz , J. Kopp , K. Koyama , N. V. Krishnendu , J. A. V. Kroon , M. Kunz , O. Lahav , A. Landragin , R. N. Lang , C. Le Poncin-Lafitte , J. Lemos , B. Li , S. Liberati , M. Liguori , F. Lin , G. Liu , F. S. N. Lobo , R. Loll , L. Lombriser , G. Lovelace , R. P. Macedo , E. Madge , E. Maggio , M. Maggiore , S. Marassi , P. Marcoccia , C. Markakis , W. Martens , K. Martinovic , C. J. A. P. Martins , A. Maselli , S. Mastrogiovanni , S. Matarrese , A. Matas , N. E. Mavromatos , A. Mazumdar , P. D. Meerburg , E. Megias , J. Miller , J. P. Mimoso , L. Mittnacht , M. M. Montero , B. Moore , P. Martin-Moruno , I. Musco , H. Nakano , S. Nampalliwar , G. Nardini , A. Nielsen , J. Novák , N. J. Nunes , M. Okounkova , R. Oliveri , F. Oppizzi , G. Orlando , N. Oshita , G. Pappas , V. Paschalidis , H. Peiris , M. Peloso , S. Perkins , V. Pettorino , I. Pikovski , L. Pilo , J. Podolsky , A. Pontzen , S. Prabhat , G. Pratten , T. Prokopec , M. Prouza , H. Qi , A. Raccanelli , A. Rajantie , L. Randall , G. Raposo , V. Raymond , S. Renaux-Petel , A. Ricciardone , A. Riotto , T. Robson , D. Roest , R. Rollo , S. Rosofsky , J. J. Ruan , D. Rubiera-García , M. Ruiz , M. Rusu , F. Sabatie , N. Sago , M. Sakellariadou , I. D. Saltas , L. Sberna , B. Sathyaprakash , M. Scheel , P. Schmidt , B. Schutz , P. Schwaller , L. Shao , S. L. Shapiro , D. Shoemaker , A. d. Silva , C. Simpson , C. F. Sopuerta , A. Spallicci , B. A. Stefanek , L. Stein , N. Stergioulas , M. Stott , P. Sutton , R. Svarc , H. Tagoshi , T. Tahamtan , H. Takeda , T. Tanaka , G. Tantilian , G. Tasinato , O. Tattersall , S. Teukolsky , A. L. Tiec , G. Theureau , M. Trodden , A. Tolley , A. Toubiana , D. Traykova , A. Tsokaros , C. Unal , C. S. Unnikrishnan , E. C. Vagenas , P. Valageas , M. Vallisneri , J. Van den Brand , C. Van den Broeck , M. van de Meent , P. Vanhove , V. Varma , J. Veitch , B. Vercnocke , L. Verde , D. Vernieri , F. Vernizzi , R. Vicente , F. Vidotto , M. Visser , Z. Vlah , S. Vretinaris , S. Völkel , Q. Wang , Yu-Tong Wang , M. C. Werner , J. Westernacher , R. v. d. Weygaert , D. Wiltshire , T. Wiseman , P. Wolf , K. Wu , K. Yamada , H. Yang , L. Yi , X. Yue , D. Yvon , M. Zilhão , A. Zimmerman , M. Zumalacarregui

The last 20 years have seen an explosion in our understanding of the large-scale distribution and motions of galaxies in the nearby universe. The field has moved from a largely qualitative, morphological description of the structures seen…

Astrophysics · Physics 2007-05-23 Michael A. Strauss

These are lectures notes prepared for a series of seminars I am invited to give at Princeton Philosophy Department in November 2024. They cover the conceptual structure of quantum gravity, the relational interpretation of quantum mechanics,…

History and Philosophy of Physics · Physics 2024-07-12 Carlo Rovelli

An introductory guide to mathematical cosmology is given focusing on the issue of the genericity of various important results which have been obtained during the last thirty or so years. Some of the unsolved problems along with certain new…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Spiros Cotsakis , Peter Leach

An assessment of the present status of the theory, some immediate tasks which are suggested thereby and some questions whose answers may require a longer breath since they relate to significant changes in the conceptual and mathematical…

High Energy Physics - Theory · Physics 2007-05-23 Rudolf Haag

What follows is a broad-brush overview of the recent synergistic interactions between mathematics and theoretical physics of quantum field theory and string theory. The discussion is forward-looking, suggesting potentially useful and…

High Energy Physics - Theory · Physics 2024-05-13 Ibrahima Bah , Daniel S. Freed , Gregory W. Moore , Nikita Nekrasov , Shlomo S. Razamat , Sakura Schafer-Nameki

The search for particle-like dark matter with meV-to-GeV masses has developed rapidly in the past few years. We summarize the science case for these searches, the recent progress, and the exciting upcoming opportunities. Funding for…

Black holes are the elementary particles of gravity, the final state of sufficiently massive stars and of energetic collisions. With a forty-year long history, black hole physics is a fully-blossomed field which promises to embrace several…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Vitor Cardoso

In this paper we work out a multiverse scenario whose physical characteristics enable us to advance the following the conjecture that whereas the physics of particles and fields is confined to live in the realm of the whole multiverse…

Astrophysics · Physics 2014-11-18 Pedro F. Gonzalez-Diaz , Prado Martin-Moruno , Artyom V. Yurov

The atomic hydrogen (HI) 21cm line measures the gas content within and around galaxies, traces the dark matter potential and probes volumes and objects that other surveys do not. Over the next decade, 21cm line science will exploit new…

Astrophysics · Physics 2009-11-13 Martha P. Haynes

This year, 2010, is the 40th anniversary of Physical Review C as a separate section of the Physical Review. We write here with a double purpose: first, to describe how PRC has evolved and to explore how this evolution has reflected changes…

Nuclear Experiment · Physics 2011-01-28 Sam M. Austin , Benjamin F. Gibson

This document provides input to the update of the European Strategy for Particle Physics in fields that are related to Nuclear Physics as described in the NuPECC Long Range Plan 2024 (arXiv:2503.15575).