Crossing Statistic: Bayesian interpretation, model selection and resolving dark energy parametrization problem
Arman Shafieloo
备注：
14 pages, 4 figures, discussions extended, 1 figure and two references added, main results unchanged, matches the final version to be published in JCAP
By introducing Crossing functions and hyper-parameters I show that the Bayesian interpretation of the Crossing Statistics [1] can be used trivially for the purpose of model selection among cosmological models. In this approach to falsify a cosmological model there is no need to compare it with other models or assume any particular form of parametrization for the cosmological quantities like luminosity distance, Hubble parameter or equation of state of dark energy. Instead, hyper-parameters of Crossing functions perform as discriminators between correct and wrong models. Using this approach one can falsify any assumed cosmological model without putting priors on the underlying actual model of the universe and its parameters, hence the issue of dark energy parametrization is resolved. It will be also shown that the sensitivity of the method to the intrinsic dispersion of the data is small that is another important characteristic of the method in testing cosmological models dealing with data with high uncertainties.
Data-Driven Discovery of a Simple Phantom-Crossing Dark Energy Parametrization
Swansea University（斯旺西大学）；Yukawa Institute for Theoretical Physics, Kyoto University（京都大学汤川理论物理研究所）；Research Center for the Early Universe (RESCEU), Graduate School of Science, The University of Tokyo（东京大学理学研究系早期宇宙研究中心）；Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study (UTIAS), The University of Tokyo（东京大学宇宙物质理论研究机构（WPI）卡弗里宇宙物理数学研究所）；Università di Bologna（博洛尼亚大学）
No evidence for phantom crossing: local goodness-of-fit improvements do not persist under global Bayesian model comparison
University of the Western Cape（西开普大学）；National Institute for Theoretical & Computational Science（理论与计算科学国家研究所）；Missouri University of Science & Technology（密苏里科技大学）；University of Tokyo（东京大学）
Phantom crossing from the Standard Model and General Relativity
Tsung-Dao Lee Institute（致伦研究所）；School of Physics and Astronomy, Shanghai Jiao Tong University（上海交通大学物理与天文学院）；School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences (HIAS-UCAS)（中国科学院大学杭州高等研究院基础物理与数学科学学院）；Department of Astronomy, School of Physical Sciences, University of Science and Technology of China（中国科学技术大学物理科学学院天文学系）；CAS Key Laboratory for Research in Galaxies and Cosmology, School of Astronomy and Space Science, University of Science and Technology of China（中国科学院大学天文与空间科学学院星系与宇宙学重点实验室）；Department of Physics & Center for Astronomy and Astrophysics, Fudan University（复旦大学物理系暨天文与天文物理中心）；Laboratori Nazionali di Frascati INFN（INFN弗拉斯卡蒂国家实验室）
Resolving the Planck-DESI tension by nonminimally coupled quintessence
Institute of Theoretical Physics, Chinese Academy of Sciences (CAS)（中国科学院理论物理研究所）；University of Chinese Academy of Sciences (UCAS)（中国科学院大学）；Institute of Fundamental Physics and Quantum Technology, Ningbo University（宁波大学基础物理与量子技术学院）；School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences（中国科学院大学杭州高等研究院基础物理与数学科学学院）；Asia Pacific Center for Theoretical Physics (APCTP)（亚太理论物理中心）
National Institute for Theoretical & Computational Science（国家理论与计算科学研究所）；Department of Physics & Astronomy, University of the Western Cape（西开普大学物理与天文学系）
Gravitational-Susceptibility Dip Behind DESI's results: Addressing the Phantom Crossing by Local limit of Nonlocal Gravity
Sharif University of Technology（谢里夫理工大学）；Research Center for High Energy Physics, Department of Physics, Sharif University of Technology（谢里夫理工大学物理系高能物理研究中心）
Distinguishing Coupled Dark Matter Dark Energy from Kinematic Phantom Crossing
University of Calcutta（加尔各答大学）；Haldia Government College（哈尔迪亚政府学院）；Indian Institute of Science Education and Research, Kolkata（印度科学教育研究所加尔各答分校）；Prabhat Kumar College（普拉巴特库马尔学院）
The Most Probable Behaviour of the Dark Energy Equation of State Indicates a Thawing Quintessence Field: Tomographic Alcock-Paczyński Test with Redshift-Space Correlation Function II
South-Western Institute for Astronomy Research, Yunnan University（西南天文研究所，云南大学）；Yunnan Key Laboratory of Survey Science, Yunnan University（云南省测绘科学重点实验室，云南大学）；School of Physics, Korea Institute for Advanced Study (KIAS)（韩国高等研究院物理学院）
Metastability in Emergent Dark Energy: A New Framework Confronting Cosmological Observations
College of Physics, Hebei Normal University（河北师范大学物理学院）；School of Physics and Optoelectronic, Yangtze University（长江大学物理与光电工程学院）；Liaoning Key Laboratory of Cosmology and Astrophysics, College of Sciences, Northeastern University（东北大学理学院）；Korea Astronomy and Space Science Institute（韩国天文学与空间科学研究所）；University of Science and Technology（科学技术大学）；National Centre for Nuclear Research（波兰国家核研究中心）
General Relativistic Entropic Acceleration at the perturbation level: a CLASS implementation and first Boltzmann-code constraints
Institute of Space Sciences (ICE, CSIC)（空间科学研究所）；School of Mathematical and Physical Sciences, University of Sheffield（谢菲尔德大学数学与物理科学学院）；Instituto de Física Teórica UAM-CSIC, Universidad Autonóma de Madrid（马德里自治大学-西班牙国家科学研究委员会理论物理研究所）
Falsifiable anthropic model from the string landscape
School of Physics and Astronomy, Sun Yat-sen University（中山大学物理与天文学院）；CSST Science Center for the Guangdong-Hong Kong-Macau Greater Bay Area（粤港澳大湾区子午线工程科学中心）
