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This is an introductory set of lecture notes on quantum cosmology, given in 1995 to an audience with interests ranging from astronomy to particle physics. Topics covered: 1. Introduction: 1.1 Quantum cosmology and quantum gravity; 1.2 A…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. L. Wiltshire

The dramatic confrontation between new observations and theories of the early and recent universe makes cosmology one of the most rapidly advancing fields in the physical sciences. The universe is a unique laboratory in which to probe…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-03 C. J. A. P. Martins

Over the past three years, our confidence in the inferred values of cosmological parameters has increased dramatically, confirming that the flat matter dominated Universe that dominated cosmological model building for the past 20 years does…

Astrophysics · Physics 2016-11-03 Lawrence M. Krauss

The standard model of cosmology has provided a good phenomenological description of a wide range of observations both at astrophysical and cosmological scales for several decades. This concordance model is constructed by a universal…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-26 Eleonora Di Valentino , Jackson Levi Said , Adam Riess , Agnieszka Pollo , Vivian Poulin , Adrià Gómez-Valent , Amanda Weltman , Antonella Palmese , Caroline D. Huang , Carsten van de Bruck , Chandra Shekhar Saraf , Cheng-Yu Kuo , Cora Uhlemann , Daniela Grandón , Dante Paz , Dominique Eckert , Elsa M. Teixeira , Emmanuel N. Saridakis , Eoin Ó Colgáin , Florian Beutler , Florian Niedermann , Francesco Bajardi , Gabriela Barenboim , Giulia Gubitosi , Ilaria Musella , Indranil Banik , Istvan Szapudi , Jack Singal , Jaume Haro Cases , Jens Chluba , Jesús Torrado , Jurgen Mifsud , Karsten Jedamzik , Khaled Said , Konstantinos Dialektopoulos , Laura Herold , Leandros Perivolaropoulos , Lei Zu , Lluís Galbany , Louise Breuval , Luca Visinelli , Luis A. Escamilla , Luis A. Anchordoqui , M. M. Sheikh-Jabbari , Margherita Lembo , Maria Giovanna Dainotti , Maria Vincenzi , Marika Asgari , Martina Gerbino , Matteo Forconi , Michele Cantiello , Michele Moresco , Micol Benetti , Nils Schöneberg , Özgür Akarsu , Rafael C. Nunes , Reginald Christian Bernardo , Ricardo Chávez , Richard I. Anderson , Richard Watkins , Salvatore Capozziello , Siyang Li , Sunny Vagnozzi , Supriya Pan , Tommaso Treu , Vid Irsic , Will Handley , William Giarè , Yukei Murakami , Adèle Poudou , Alan Heavens , Alan Kogut , Alba Domi , Aleksander Łukasz Lenart , Alessandro Melchiorri , Alessandro Vadalà , Alexandra Amon , Alexander Bonilla , Alexander Reeves , Alexander Zhuk , Alfio Bonanno , Ali Övgün , Alice Pisani , Alireza Talebian , Amare Abebe , Amin Aboubrahim , Ana Luisa González Morán , András Kovács , Andreas Papatriantafyllou , Andrew R. Liddle , Andreas Lymperis , Andronikos Paliathanasis , Andrzej Borowiec , Anil Kumar Yadav , Anita Yadav , Anjan Ananda Sen , Anjitha John William Mini Latha , Anne Christine Davis , Anowar J. Shajib , Anthony Walters , Anto Idicherian Lonappan , Anton Chudaykin , Antonio Capodagli , Antonio da Silva , Antonio De Felice , Antonio Racioppi , Araceli Soler Oficial , Ariadna Montiel , Arianna Favale , Armando Bernui , Arrianne Crystal Velasco , Asta Heinesen , Athanasios Bakopoulos , Athanasios Chatzistavrakidis , Bahman Khanpour , Bangalore S. Sathyaprakash , Bartek Zgirski , Benjamin L'Huillier , Benoit Famaey , Bhuvnesh Jain , Biesiada Marek , Bing Zhang , Biswajit Karmakar , Branko Dragovich , Brooks Thomas , Carlos Correa , Carlos G. Boiza , Catarina Marques , Celia Escamilla-Rivera , Charalampos Tzerefos , Chi Zhang , Chiara De Leo , Christian Pfeifer , Christine Lee , Christo Venter , Cláudio Gomes , Clecio Roque De bom , Cristian Moreno-Pulido , Damianos Iosifidis , Dan Grin , Daniel Blixt , Dan Scolnic , Daniele Oriti , Daria Dobrycheva , Dario Bettoni , David Benisty , David Fernández-Arenas , David L. Wiltshire , David Sanchez Cid , David Tamayo , David Valls-Gabaud , Davide Pedrotti , Deng Wang , Denitsa Staicova , Despoina Totolou , Diego Rubiera-Garcia , Dinko Milaković , Dom Pesce , Dominique Sluse , Duško Borka , Ebrahim Yusofi , Elena Giusarma , Elena Terlevich , Elena Tomasetti , Elias C. Vagenas , Elisa Fazzari , Elisa G. M. Ferreira , Elvis Barakovic , Emanuela Dimastrogiovanni , Emil Brinch Holm , Emil Mottola , Emre Özülker , Enrico Specogna , Enzo Brocato , Erik Jensko , Erika Antonette Enriquez , Esha Bhatia , Fabio Bresolin , Felipe Avila , Filippo Bouchè , Flavio Bombacigno , Fotios K. Anagnostopoulos , Francesco Pace , Francesco Sorrenti , Francisco S. N. Lobo , Frédéric Courbin , Frode K. Hansen , Greg Sloan , Gabriel Farrugia , Gabriel Lynch , Gabriela Garcia-Arroyo , Gabriella Raimondo , Gaetano Lambiase , Gagandeep S. Anand , Gaspard Poulot , Genly Leon , Gerasimos Kouniatalis , Germano Nardini , Géza Csörnyei , Giacomo Galloni , Giada Bargiacchi , Giannis Papagiannopoulos , Giovanni Montani , Giovanni Otalora , Giulia De Somma , Giuliana Fiorentino , Giuseppe Fanizza , Giuseppe Gaetano Luciano , Giuseppe Sarracino , Gonzalo J. Olmo , Goran S. Djordjević , Guadalupe Cañas-Herrera , Hanyu Cheng , Harry Desmond , Hassan Abdalla , Houzun Chen , Hsu-Wen Chiang , Hume A. Feldman , Hussain Gohar , Ido Ben-Dayan , Ignacio Sevilla-Noarbe , Ignatios Antoniadis , Ilim Cimdiker , Inês S. Albuquerque , Ioannis D. Gialamas , Ippocratis Saltas , Iryna Vavilova , Isidro Gómez-Vargas , Ismael Ayuso , Ismailov Nariman Zeynalabdi , Ivan De Martino , Ivonne Zavala , J. Alberto Vázquez , Jacobo Asorey , Janusz Gluza , Javier Rubio , Jenny G. Sorce , Jenny Wagner , Jeremy Sakstein , Jessica Santiago , Jim Braatz , Joan Solà Peracaula , John Blakeslee , John Webb , Jose A. R. Cembranos , José Pedro Mimoso , Joseph Jensen , Juan García-Bellido , Judit Prat , Kathleen Sammut , Kay Lehnert , Keith R. Dienes , Kishan Deka , Konrad Kuijken , Krishna Naidoo , László Árpád Gergely , Laur Järv , Laura Mersini-Houghton , Leila L. Graef , Léo Vacher , Levon Pogosian , Lilia Anguelova , Lindita Hamolli , Lu Yin , Luca Caloni , Luca Izzo , Lucas Macri , Luis E. Padilla , Luz Ángela García , Maciej Bilicki , Mahdi Najafi , Manolis Plionis , Manuel Gonzalez-Espinoza , Manuel Hohmann , Marcel A. van der Westhuizen , Marcella Marconi , Marcin Postolak , Marco de Cesare , Marco Regis , Marek Biesiada , Maret Einasto , Margus Saal , Maria Caruana , Maria Petronikolou , Mariam Bouhmadi-López , Mariana Melo , Mariaveronica De Angelis , Marie-Noëlle Célérier , Marina Cortês , Mark Reid , Markus Michael Rau , Martin S. Sloth , Martti Raidal , Masahiro Takada , Masoume Reyhani , Massimiliano Romanello , Massimo Marengo , Mathias Garny , Matías Leizerovich , Matteo Martinelli , Matteo Tagliazucchi , Mehmet Demirci , Miguel A. S. Pinto , Miguel A. Sabogal , Miguel A. García-Aspeitia , Milan Milošević , Mina Ghodsi , Mustapha Ishak , Nelson J. Nunes , Nick Samaras , Nico Hamaus , Nico Schuster , Nicola Borghi , Nicola Deiosso , Nicola Tamanini , Nicolao Fornengo , Nihan Katırcı , Nikolaos E. Mavromatos , Nicholas Petropoulos , Nikolina Šarčević , Nils A. Nilsson , Noemi Frusciante , Octavian Postavaru , Oem Trivedi , Oleksii Sokoliuk , Olga Mena , Paloma Morilla , Paolo Campeti , Paolo Salucci , Paula Boubel , Paweł Bielewicz , Pekka Heinämäki , Petar Suman , Petros Asimakis , Pierros Ntelis , Pilar Ruiz-Lapuente , Pran Nath , Predrag Jovanović , Purba Mukherjee , Radosław Wojtak , Rafaela Gsponer , Rafid H. Dejrah , Rahul Shah , Rasmi Hajjar , Rebecca Briffa , Rebecca Habas , Reggie C. Pantig , Renier Mendoza , Riccardo Della Monica , Richard Stiskalek , Rishav Roshan , Rita B. Neves , Roberto Molinaro , Roberto Terlevich , Rocco D'Agostino , Rodrigo Sandoval-Orozco , Ronaldo C. Batista , Ruchika Kaushik , Ruth Lazkoz , Saeed Rastgoo , Sahar Mohammadi , Salvatore Samuele Sirletti , Sandeep Haridasu , Sanjay Mandal , Saurya Das , Sebastian Bahamonde , Sebastian Grandis , Sebastian Trojanowski , Sergei D. Odintsov , Sergij Mazurenko , Shahab Joudaki , Sherry H. Suyu , Shouvik Roy Choudhury , Shruti Bhatporia , Shun-Sheng Li , Simeon Bird , Simon Birrer , Simone Paradiso , Simony Santos da Costa , Sofia Contarini , Sophie Henrot-Versillé , Spyros Basilakos , Stefano Casertano , Stefano Gariazzo , Stylianos A. Tsilioukas , Surajit Kalita , Suresh Kumar , Susana J. Landau , Sveva Castello , Swayamtrupta Panda , Tanja Petrushevska , Thanasis Karakasis , Thejs Brinckmann , Tiago B. Gonçalves , Tiziano Schiavone , Tom Abel , Tomi Koivisto , Torsten Bringmann , Umut Demirbozan , Utkarsh Kumar , Valerio Marra , Maurice H. P. M. van Putten , Vasileios Kalaitzidis , Vasiliki A. Mitsou , Vasilios Zarikas , Vedad Pasic , Venus Keus , Verónica Motta , Vesna Borka Jovanović , Víctor H. Cárdenas , Vincenzo Ripepi , Vincenzo Salzano , Violetta Impellizzeri , Vitor da Fonseca , Vittorio Ghirardini , Vladas Vansevičius , Weiqiang Yang , Wojciech Hellwing , Xin Ren , Yu-Min Hu , Yuejia Zhai , Abdul Malik Sultan , Adrienn Pataki , Alessandro Santoni , Aliya Batool , Aneta Wojnar , Arman Tursunov , Avik De , Ayush Hazarika , Baojiu Li , Benjamin Bose , Bivudutta Mishra , Bobomurat Ahmedov , Chandra Shekhar Saraf , Claudia Scóccola , Crescenzo Tortora , D'Arcy Kenworthy , Daniel E. Holz , David F. Mota , David S. Pereira , Devon M. Williams , Dillon Brout , Dong Ha Lee , Eduardo Guendelman , Edward Olex , Emanuelly Silva , Emre Onur Kahya , Enzo Brocato , Eva-Maria Mueller , Felipe Andrade-Oliveira , Feven Markos Hunde , F. R. Joaquim , Florian Pacaud , Francis-Yan Cyr-Racine , Pozo Nuñez , F. Gábor Rácz , Gene Carlo Belinario , Geraint F. Lewis , Gergely Dálya , Giorgio Laverda , Guido Risaliti , Guillermo Franco-Abellán , Hayden Zammit , Hayley Camilleri , Helene M. Courtois , Hooman Moradpour , Igor de Oliveira Cardoso Pedreira , Ilí dio Lopes , István Csabai , James W. Rohlf , J. Bogdanoska , Javier de Cruz Pérez , Joan Bachs-Esteban , Joseph Sultana , Julien Lesgourgues , Jun-Qian Jiang , Karem Peñaló Castillo , Kimet Jusufi , Lavinia Heisenberg , Laxmipriya Pati , Léon V. E. Koopmans , Lokesh kumar Duchaniya , Lucas Lombriser , Mahdieh Gol Bashmani Moghadam , María Pérez Garrote , Mariano Domínguez , Marine Samsonyan , Mark Pace , Martin Krššák , Masroor C. Pookkillath , Matteo Peronaci , Matteo Piani , Matthildi Raftogianni , Meet J. Vyas , Melina Michalopoulou , Merab Gogberashvili , Michael Klasen , Michele Cicoli , Michele Moresco , Miguel Quartin , Miguel Zumalacárregui , Milan S. Dimitrijević , Milos Dordevic , Mindaugas Karčiauskas , Morgan Le Delliou , Nastassia Grimm , Nicolás Augusto Kozameh , Nicoleta Voicu , Nicolina Pop , Nikos Chatzifotis , Oliver Fabio Piattella , Paula Boubel , Pedro da Silveira Ferreira , Péter Raffai , Peter Schupp , Pierros Ntelis , Pradyumn Kumar Sahoo , Roberto V. Maluf , Ruth Durrer , S. A. Kadam , Sabino Matarrese , Samuel Brieden , Santiago González-Gaitán , Santosh V. Lohakare , Scott Watson , Shao-Jiang Wang , Simão Marques Nunes , Soumya Chakrabarti , Suvodip Mukherjee , Tajron Jurić , Tessa Baker , Theodoros Nakas , Tiago Barreiro , Upala Mukhopadhyay , Veljko Vujčić , Violetta Sagun , Vladimir A. Srećković , Wangzheng Zhang , Yo Toda , Yun-Song Piao , Zahra Davari

Cosmology is undergoing an explosive period of activity, fueled both by new, accurate astrophysical data and by innovative theoretical developments. Cosmological parameters such as the total density of the Universe and the rate of…

Astrophysics · Physics 2007-05-23 A. S. Sakharov , H. Hofer

Invited contribution to the Encyclopedia of Mathematical Physics (2nd edition), providing an overview over some main ideas and results in quantum cosmology. Key points: Canonical quantisation of homogeneous, isotropic cosmology; discussion…

General Relativity and Quantum Cosmology · Physics 2025-02-28 Steffen Gielen

This is a brief review of the standard model of cosmology. We first introduce the FRW models and their flat solutions for energy fluids playing an important role in the dynamics at different epochs. We then introduce different cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-15 Jorge L. Cervantes-Cota , George Smoot

This article will review quantum particle creation in expanding universes. The emphasis will be on the basic physical principles and on selected applications to cosmological models. The needed formalism of quantum field theory in curved…

General Relativity and Quantum Cosmology · Physics 2021-12-07 L. H. Ford

I review the major concordances and controversies of the meeting concerning observations. Cosmologists are nearing agreement on the global cosmological parameters of the Universe. A few parameters still have large error bars, notably…

Astrophysics · Physics 2009-09-29 S. M. Faber

Studies of galaxy clusters have proved crucial in helping to establish the standard model of cosmology, with a universe dominated by dark matter and dark energy. A theoretical basis that describes clusters as massive, multi-component,…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-26 Steven W. Allen , August E. Evrard , Adam B. Mantz

The Decadal Survey of Astronomy and Astrophysics created five panels to identify the science themes that would define the field's research frontiers in the coming decade. I will describe the conclusions of one of these, the Panel on…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 W. C. Haxton

Six challenges for the standard cosmological model $\Lambda$CDM are listed, which arise when comparing theoretical predictions with observational data on scales of ~1 Mpc. Different parameters of luminous and dwarf galaxies in the local…

General Relativity and Quantum Cosmology · Physics 2026-05-29 I. D. Karachentsev

The extra space paradigm plays a significant role in modern physics and in cosmology as the specific case. In this review, the relation between the main cosmological parameters - Planck mass and Cosmological constants - and a metric of…

General Relativity and Quantum Cosmology · Physics 2019-12-30 S. G. Rubin

Modern cosmology has created a tight link between particle physics / field theory and a wealth of new observational data on the structure of the Universe. These lecture notes focus on some of the most important aspects concerning the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert H. Brandenberger

Facing the advent of the next generation cosmological surveys we present a method to forecast knowledge gain on cosmological models. We propose this as a well defined and general tool to quantify the performance of different experiments in…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-21 Marco Raveri , Matteo Martinelli , Gongbo Zhao , Yuting Wang

The Standard Model of Particle Physics (SMPP) is an enormously successful description of high energy physics, driving ever more precise measurements to find "physics beyond the standard model", as well as providing motivation for developing…

Astrophysics · Physics 2015-06-24 Douglas Scott

CMB anisotropy data could put powerful constraints on theories of the evolution of our Universe. Using the observations of the large number of CMB experiments, many studies have put constraints on cosmological parameters assuming different…

Astrophysics · Physics 2015-06-24 Marian Douspis

Two fundamental laws are needed for prediction in the universe: (1) a basic dynamical law and (2) a law for the cosmological initial condition. Quantum cosmology is the area of basic research concerned with the search for a theory of the…

General Relativity and Quantum Cosmology · Physics 2008-02-03 James B. Hartle

In order to account for the observable Universe, any comprehensive theory or model of cosmology must draw from many disciplines of physics, including gauge theories of strong and weak interactions, the hydrodynamics and microphysics of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Peter Anninos

It has recently been proposed [M. P. Hertzberg and A. Loeb, arXiv:2302.09090] that the observed value of the cosmological constant can be related to the physical parameters of the Standard Model. In the present compact note we point out…

General Relativity and Quantum Cosmology · Physics 2023-02-23 Shahar Hod