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In three spacetime dimensions, general relativity drastically simplifies, becoming a ``topological'' theory with no propagating local degrees of freedom. Nevertheless, many of the difficult conceptual problems of quantizing gravity are…

General Relativity and Quantum Cosmology · Physics 2015-06-25 S. Carlip

The physical models of a successful unified theory about the Universe must operate in different phase of matter evolution and different fields of physics. The attempts to build such wide range theory as a bunch of theories developed for…

General Physics · Physics 2007-05-23 S. Sarg

We discuss how developments in physics often imply in the need that spacetime acquires an increasingly richer and complex structure. General Relativity was the first theory to show us the way to connect space and time with the physical…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Orfeu Bertolami

Space-Time in general relativity is a dynamical entity because it is subject to the Einstein field equations. The space-time metric provides different geometrical structures: conformal, volume, projective and linear connection. A deep…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ignacio Sanchez-Rodriguez

Gauge symmetries play a central role, both in the mathematical foundations as well as the conceptual construction of modern (particle) physics theories. However, it is yet unclear whether they form a necessary component of theories, or…

History and Philosophy of Physics · Physics 2024-10-18 Philipp Berghofer , Jordan François , Simon Friederich , Henrique Gomes , Guy Hetzroni , Axel Maas , René Sondenheimer

Duality groups of Abelian gauge theories on four manifolds and their reduction to two dimensions are considered. The duality groups include elements that relate different space-times in addition to relating different gauge-coupling…

High Energy Physics - Theory · Physics 2009-10-30 A. Giveon , M. Porrati

It is argued that the standard quantum mechanical description of the Bell correlations between entangled subsystems is in conflict with relativistic space-time symmetry. Proposals to abandon relativistic symmetry, in the sense of explicitly…

Quantum Physics · Physics 2007-05-23 Michael E. Kellman

The universal symmetry, or conservation, of complexity underlies any law or principle of system dynamics and describes the unceasing transformation of dynamic information into dynamic entropy as the unique way to conserve their sum, the…

General Physics · Physics 2014-05-15 Andrei P. Kirilyuk

The treatment of time in relativity does not conform to that in quantum theory. In the context of quantum gravity this is called "the problem of time". A crucial difference is that time $t$ may be seen as an observable in relativity theory,…

History and Philosophy of Physics · Physics 2024-11-12 Per Östborn

The theory of symmetry breaking in presence of gauge fields is presented, following the historical track. Particular emphasis is placed upon the underlying concepts.

High Energy Physics - Theory · Physics 2007-05-23 Francois Englert

Time-asymmetric behavior as embodied in the second law of thermodynamics is observed in {\it individual macroscopic} systems. It can be understood as arising naturally from time-symmetric microscopic laws when account is taken of a) the…

Statistical Mechanics · Physics 2007-09-06 Joel L. Lebowitz

Gauging is a powerful operation on symmetries in quantum field theory (QFT), as it connects distinct theories and also reveals hidden structures in a given theory. We initiate a systematic investigation of gauging discrete generalized…

High Energy Physics - Theory · Physics 2026-03-27 Oleksandr Diatlyk , Conghuan Luo , Yifan Wang , Quinten Weller

Two questions are investigated by looking successively at classical mechanics, special relativity, and relativistic gravity: first, how is space related with spacetime? The proposed answer is that each given reference fluid, that is a…

General Relativity and Quantum Cosmology · Physics 2018-07-06 Mayeul Arminjon

Motivated by situations with temporal evolution and spatial symmetries both singled out, we develop a new 2+1+1 decomposition of spacetime, based on a nonorthogonal double foliation. Time evolution proceeds along the leaves of the spatial…

General Relativity and Quantum Cosmology · Physics 2019-06-05 Cecília Gergely , Zoltán Keresztes , László Á. Gergely

Based on a study of recently proposed solution of 2 dim. black hole we argue that the space-time singularities of general relativity may be described by topological field theories (TFTs). We also argue that in general TFT is a field theory…

High Energy Physics - Theory · Physics 2009-10-22 Tohru Eguchi

Quantum physics is a linear theory, so it is somewhat puzzling that it can underlie very complex systems such as digital computers and life. This paper investigates how this is possible. Physically, such complex systems are necessarily…

Quantum Physics · Physics 2024-03-12 George F R Ellis

The quantum mechanics description of a physical object stretched in space and stable in time from the relativistic space-time properties point of view, introduced in special theory of relativity, is considered and analysed. The mathematical…

Quantum Physics · Physics 2007-05-23 Andrey V. Novikov-Borodin

Two-Time relativistic Bohmian Model (TTBM) is a theory in which the apparently paradoxical aspects of Quantum Mechanics are the effect of the existence of an extra unobservable time dimension. The hypothesis that matter is capable of motion…

General Physics · Physics 2026-03-06 Giuseppe Raguní

Quantum computers have the potential to explore the vast Hilbert space of entangled states that play an important role in the behavior of strongly interacting matter. This opportunity motivates reconsidering the Hamiltonian formulation of…

High Energy Physics - Lattice · Physics 2021-01-08 David B. Kaplan , Jesse R. Stryker

We find the T-duality transformation rules for 2-dimensional (2,1) supersymmetric sigma-models in (2,1) superspace. Our results clarify certain aspects of the (2,1) sigma model geometry relevant to the discussion of T-duality. The…

High Energy Physics - Theory · Physics 2022-10-12 M. Abou-Zeid , C. M. Hull , U. Lindström , M. Roček
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