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The logarithmic superfluid theory of physical vacuum predicts that gravity is an induced phenomenon, which has a multiple-scale structure. At astronomical scales, as the distance from a gravitating center increases, gravitational potential…

General Relativity and Quantum Cosmology · Physics 2022-01-13 Konstantin G. Zloshchastiev

We study the dynamics of quantum statistical ensembles at first-order phase transition points of finite macroscopic systems. First, we show that at the first-order phase transition point of systems with an order parameter that does not…

Statistical Mechanics · Physics 2023-10-10 Yasushi Yoneta

In the groupoid approach to noncommutative quantization of gravity, gravitational field is quantized in terms of a C*-algebra A of complex valued funcions on a groupoid G (with convolution as multiplication). In the noncommutative quantum…

General Relativity and Quantum Cosmology · Physics 2011-07-19 M. Heller , W. Sasin

In quantum field theory the parameters of the vacuum action are subject to renormalization group running. In particular, the ``cosmological constant'' is not a constant in a quantum field theory context, still less should be zero. In this…

High Energy Physics - Theory · Physics 2009-10-31 Ilya L. Shapiro , Joan Sola

We propose a novel approach to intrinsic decoherence without adding new assumptions to standard Quantum Mechanics. We generalize the Liouville equation just by requiring the dynamical semigroup property of time evolution and dropping the…

Quantum Physics · Physics 2015-06-26 Rodolfo Bonifacio

In generic models of cosmological inflation, quantum fluctuations strongly influence the spacetime metric and produce infinitely many regions where the end of inflation (reheating) is delayed until arbitrarily late times. The geometry of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei Winitzki

In spatially uniform, but time-dependent dielectric media with equal electric and magnetic response, classical electromagnetic waves propagate exactly like in empty, flat space with transformed time, called conformal time, and so do quantum…

Quantum Physics · Physics 2025-01-07 Ziv Landau , Ulf Leonhardt

We investigate the possibility of extending Newton's second law to the general framework of theories in which special relativity is locally valid, and in which gravitation changes the flat Galilean space-time metric into a curved metric.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mayeul Arminjon

We analyse quantum--kinetic effects in the early Universe. We show that quantum corrections to the Vlasov equation give rise to a dynamical variation of the gravitational constant. The value of the gravitational constant at the Grand…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Oleg A. Fonarev

The theoretical framework established in arXiv:quant-ph/0404103 is extended to deal with possible astrophysical manifestations of phenomena involving reverse, as well as forward, causation in time. The basic idea is that space-time…

General Relativity and Quantum Cosmology · Physics 2009-11-11 G. E. Hahne

We present a generally covariant approach to quantum mechanics in which generalized positions, momenta and time variables are treated as coordinates on a fundamental "phase-spacetime." We show that this covariant starting point makes…

High Energy Physics - Theory · Physics 2018-05-31 Gabriel Herczeg , Andrew Waldron

Inspired by the discrete evolution implied by the recent work on loop quantum cosmology, we obtain a discrete time description of usual quantum mechanics viewing it as a constrained system. This description, obtained without any…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Date

Simple derivation of the classical generalized Moller-Wu-Lee transformations from general master equation is presented.We will argue that in fact we can implement Born's notion of rigid motion in both flat spacetime and arbitrary curved…

General Relativity and Quantum Cosmology · Physics 2013-04-02 Jaykov Foukzon , S. A. Podosenov

We argue that correct account of the quantum properties of macroscopic objects which form reference frames (RF) demand the change of the standard space-time picture accepted in Quantum Mechanics. Galilean or Lorentz space-time…

High Energy Physics - Theory · Physics 2007-05-23 S. N. Mayburov

The Boltzmann distribution of an ideal gas is determined by the Hamiltonian function generating single particle dynamics. Systems with higher complexity often exhibit topological constraints, which are independent of the Hamiltonian and may…

General Relativity and Quantum Cosmology · Physics 2021-07-29 Naoki Sato

We demonstrate how one can distinguish a curved 4-dimensional spacetime from a flat one, when it is possible, relying only on the causality relations between events. It is known that it is possible only for spacetimes that are not…

General Relativity and Quantum Cosmology · Physics 2023-02-24 A. V. Nenashev , S. D. Baranovskii

We compute numerically the time evolution of simple semiclassical states describing homogeneous and isotropic spatial geometries in quantum-reduced loop gravity under a deparametrized formulation of the dynamics, in which a reference matter…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Ilkka Mäkinen

Space-time quantum contributions to the classical Einstein equations of General Relativity are determined. The theoretical background is provided by the non-perturbative theory of manifestly-covariant quantum gravity and the…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Claudio Cremaschini , Massimo Tessarotto

The dynamics of Gowdy vacuum spacetimes is considered in terms of Hubble-normalized scale-invariant variables, using the timelike area temporal gauge. The resulting state space formulation provides for a simple mechanism for the formation…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Lars Andersson , Henk van Elst , Claes Uggla

This paper presents the extension from flat spacetime into curved spacetime of the area of theoretical investigation that has been known as topological gauge field theory. The extension here presented is based upon a new derivation of the…

Mathematical Physics · Physics 2007-05-23 Joseph Saaty