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After a review of the existing theory of non-inertial frames and mathematical observers in Minkowski space-time we give the explicit expression of a family of such frames obtained from the inertial ones by means of point-dependent Lorentz…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Horace W. Crater , Luca Lusanna

The starting point of this work is the principle that all movement of particles and photons must follow geodesics of a 4-dimensional space where time intervals are always a measure on geodesic arc lengths. The last 3 coordinates (alpha =…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jose B. Almeida

We study the issue of description of spinning particle dynamics by means of recently proposed world sheet concept. A model of irreducible spinning particle in the $3d$ Minkowski space with two gauge symmetries is considered. The classical…

High Energy Physics - Theory · Physics 2021-05-06 D. S. Kaparulin , I. A. Retuncev

Contrary to established beliefs, spacetime may not be time-orientable. By considering an experimental test of time orientability it is shown that a failure of time-orientability of a spacetime region would be indistinguishable from a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Mark J Hadley

We propose a possible answer to one of the most exciting open questions in physics and cosmology, that is the question why we seem to experience four- dimensional space-time with three ordinary and one time dimensions. We have known for…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. Mankoc Borstnik , H. B. Nielsen

Theoretical and observational challenges to standard cosmology such as the cosmological constant problem and tensions between cosmological model parameters inferred from different observations motivate the development and search of new…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-30 Lucas Lombriser

We conjecture that, in certain cases, quantum dynamics is consistent in the presence of closed timelike curves. We consider time dependent orbifolds of three dimensional Minkowski space describing, in the limit of large AdS radius, BTZ…

High Energy Physics - Theory · Physics 2009-11-11 Lorenzo Cornalba , Miguel S. Costa

We consider the $\varrho$-Minkowski spacetime, a model with linear noncommutativity involving the time and the azimuthal angle. We study its quantum symmetries, the $\varrho$-Poincar\'e quantum group, and analyse the concepts of…

High Energy Physics - Theory · Physics 2022-11-09 Fedele Lizzi , Luca Scala , Patrizia Vitale

The global topology of spacetime, though invisible to local curvature measurements, leaves signatures on the correlation functions of quantum fields. We study these signatures using an Unruh-DeWitt particle detector operating in…

General Relativity and Quantum Cosmology · Physics 2026-04-24 Nirmalya Kajuri , Sheeshram Siddh

The spin-statistics connection, quantum gravity and other physical considerations suggest that classical space-time topology is not an immutable attribute and can change in quantum physics. The implementation of topology change using…

High Energy Physics - Theory · Physics 2012-11-30 M. Asorey , A. P. Balachandran , G. Marmo , I. P. Costa e Silva , A. R. de Queiroz , P. Teotonio-Sobrinho , S. Vaidya

We argue that there exists an operational way to establish the observability of the notions of space and time. Specifically, we propose a theory-independent protocol for a gedanken-experiment, whose outcome is a signal establishing the…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Nikola Paunkovic , Marko Vojinovic

Although the standard viewpoint in theoretical physics is that the unification of quantum theory and general relativity requires the quantization of gravity and spacetime, there is not consensus about whether spacetime must fundamentally…

Quantum Physics · Physics 2022-05-23 Damián Pitalúa-García

Local operators are the basic observables in quantum field theory which encode the physics observed by a local experimentalist. However, when gravity is dynamical, diffeomorphism symmetries are gauged which apparently obstructs a sensible…

High Energy Physics - Theory · Physics 2025-04-11 Hao Geng

We begin from the generalised eight-dimensional Minkowski spacetime structure, previously developed in Clifford geometric algebra $ C\ell(\Re^3) $. We propose that this is the correct algebraic representation for physical three-dimensional…

Mathematical Physics · Physics 2024-10-01 James M. Chappell , David L. Berkahn , Derek Abbott

This thesis is concerned with the application of operadic methods, particularly modular operads, to questions arising in the study of moduli spaces of surfaces as well as applications to the study of homotopy algebras and new constructions…

Geometric Topology · Mathematics 2012-09-06 Christopher Braun

We show that relativistic rotation transformations represent transfer maps between the laboratory system and a local observer on an observer manifold, rather than an event manifold, in the spirit of C-equivalence. Rotation is, therefore,…

General Mathematics · Mathematics 2024-04-10 Satyanad Kichenassamy

We analyze the decoherence of a particle's spatial superposition moving along a stationary worldline through the Minkowski vacuum. The particle is modeled via an internal degree of freedom that couples to a scalar field, and an external…

Quantum Physics · Physics 2026-05-27 Clemens Jakubec , Aaron Bartleson , Peter W. Milonni , Kanu Sinha

We consider rotating wormhole solutions in general relativity supported by a complex non-phantom spinor field (which provides a nontrivial spacetime topology) and electromagnetic fields. The solutions are asymmetric, regular, asymptotically…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Vladimir Dzhunushaliev , Vladimir Folomeev

In this paper, position vectors of a time-like curve with respect to standard frame of Minkowski space E$^3_1$ are studied in terms of Frenet equations. First, we prove that position vector of every time-like space curve in Minkowski space…

Differential Geometry · Mathematics 2009-06-23 Ahmad T. Ali , Melih Turgut

A recent study by Bojowald and Paily provided a path toward the identification of an effective quantum-spacetime picture of Loop Quantum Gravity, applicable in the "Minkowski regime", the regime where the large-scale (coarse-grained)…

General Relativity and Quantum Cosmology · Physics 2017-01-25 Giovanni Amelino-Camelia , Malú Maira da Silva , Michele Ronco , Lorenzo Cesarini , Orchidea Maria Lecian