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In this paper we discuss and prove $\epsilon$-regularity theorems for Einstein manifolds $(M^n,g)$, and more generally manifolds with just bounded Ricci curvature, in the collapsed setting. A key tool in the regularity theory of…

微分几何 · 数学 2016-10-19 Aaron Naber , Ruobing Zhang

In a recent paper, Conway and Kochen proposed what is now known as the "Free Will theorem" which, among other things, should prove the impossibility of combining GRW models with special relativity, i.e., of formulating relativistically…

量子物理 · 物理学 2007-05-23 A. Bassi , G. C. Ghirardi

Wave function collapse models are considered as the modified theories of standard quantum mechanics at the macroscopic level. By introducing nonlinear stochastic terms in the Schr\"odinger equation, these models make predictions,…

量子物理 · 物理学 2017-02-02 Jing Zhang , Tiancai Zhang , Jie Li

Even if Einstein's General Relativity achieved a great success and overcame lots of experimental tests, it also showed some shortcomings and flaws which today advise theorists to ask if it is the definitive theory of gravity. In this letter…

广义相对论与量子宇宙学 · 物理学 2009-02-16 Christian Corda

We investigate the discrepancy pointed out by Jenkins et al. in Ref. [1] between the predictions of anisotropies of the astrophysical gravitational wave (GW) background, derived using different methods in Cusin et al. [2] and in Jenkins et…

宇宙学与河外天体物理 · 物理学 2018-11-13 Giulia Cusin , Irina Dvorkin , Cyril Pitrou , Jean-Philippe Uzan

We consider the numerical evaluation of the Evans function, a Wronskian-like determinant that arises in the study of the stability of travelling waves. Constructing the Evans function involves matching the solutions of a linear ordinary…

数值分析 · 数学 2008-05-12 Simon Malham , Jitse Niesen

The generalized second law of gravitational thermodynamics is applied to the present era of accelerated expansion of the Universe. In spite of the fact that the entropy of matter and relic gravitational waves inside the event horizon…

广义相对论与量子宇宙学 · 物理学 2009-11-11 German Izquierdo , Diego Pavon

The successful observation of gravitational waves has provided humanity with an additional method to explore the universe, particularly black holes. In this study, we utilize data from LIGO and Virgo gravitational wave observations to test…

广义相对论与量子宇宙学 · 物理学 2024-06-26 Chao-Wan-Zhen Wang , Jin-Bao Zhu , Guo-Qing Huang , Fu-Wen Shu

We present a theoretical analysis of the WDW approach to quantum cosmology extended to gravity theories with torsion. The dynamics of the FLRW universe is formulated as a classical Hamiltonian problem of point particle mechanics. Unlike in…

广义相对论与量子宇宙学 · 物理学 2026-04-17 David Vasak , Johannes Kirsch , Juergen Struckmeier

Particles at rest before the arrival of a burst of gravitational wave move, after the wave has passed, with constant velocity along diverging geodesics. As recognized by Souriau 50 years ago and then forgotten, their motion is particularly…

广义相对论与量子宇宙学 · 物理学 2025-05-20 M. Elbistan , P. -M. Zhang , P. A. Horvathy

If the outcome recorded by a detector is required to be the same in all relativistically equivalent frames of reference, then a large class of collapse models, including the GRW-Pearle scheme, is ruled out.

量子物理 · 物理学 2010-04-21 Casey Blood

A seminal technique of theoretical physics called Wick's theorem interprets the Gaussian matrix integral of the products of the trace of powers of Hermitian matrices as the number of labelled maps with a given degree sequence, sorted by…

组合数学 · 数学 2009-06-09 Mihyun Kang , Martin Loebl

Gravitational-wave astronomy provides a promising avenue for the discovery of new physics beyond general relativity as it probes extreme curvature and ultra-relativistic dynamics. However, in the absence of a compelling alternative to…

广义相对论与量子宇宙学 · 物理学 2026-05-11 Lachlan Passenger , Shun Yin Cheung , Nir Guttman , Nikhil Kannachel , Paul D. Lasky , Eric Thrane

Gravitational-wave astronomy seeks to extract information about astrophysical systems from the gravitational-wave signals they emit. For coalescing compact-binary sources this requires accurate model templates for the inspiral and,…

广义相对论与量子宇宙学 · 物理学 2014-07-24 Ilya Mandel , Christopher P L Berry , Frank Ohme , Stephen Fairhurst , Will M Farr

Full, non-linear general relativity predicts a memory effect for gravitational waves. For compact binary coalescence, the total gravitational memory serves as an inferred observable, conceptually on the same footing as the mass and the spin…

广义相对论与量子宇宙学 · 物理学 2021-02-17 Neev Khera , Badri Krishnan , Abhay Ashtekar , Tommaso De Lorenzo

The gambler's ruin problem for correlated random walks (CRW), both with and without delays, is addressed using the Optional Stopping Theorem for martingales. We derive closed-form expressions for the ruin probabilities and the expected game…

概率论 · 数学 2025-06-03 Vladimir Pozdnyakov

It is emphasized that the collapse postulate of standard quantum theory can violate conservation of energy-momentum and there is no indication from where the energy-momentum comes or to where it goes. Likewise, in the Continuous Spontaneous…

量子物理 · 物理学 2022-10-12 Philip Pearle

One of the main bottlenecks in gravitational wave (GW) astronomy is the high cost of performing parameter estimation and GW searches on the fly. We propose a novel technique based on Reduced Order Quadratures (ROQs), an application and…

广义相对论与量子宇宙学 · 物理学 2013-09-26 Priscilla Canizares , Scott E. Field , Jonathan R. Gair , Manuel Tiglio

Few recent generations of cosmologists have solved non-local newtonian equations of the gravitational instability in an expanding universe. In this approach pancaking is the predominant form of first collapsing objects. Relativistic…

天体物理学 · 物理学 2009-10-22 Lev Kofman , Dmitry Pogosayn

We apply common gravitational wave inference procedures on binary black hole merger waveforms beyond general relativity. We consider dynamical Chern-Simons gravity, a modified theory of gravity with origins in string theory and loop quantum…

广义相对论与量子宇宙学 · 物理学 2023-02-02 Maria Okounkova , Maximiliano Isi , Katerina Chatziioannou , Will M. Farr