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I propose a general geometric framework in which to discuss the existence of time observables. This frameworks allows one to describe a local sense in which time observables always exist, and a global sense in which they can sometimes exist…

Mathematical Physics · Physics 2014-04-22 Bryan W. Roberts

Numerical N-body simulations of large scale structure formation in the universe are based on Newtonian gravity. However, according to our current understanding, the most correct theory of gravity is general relativity. It is therefore…

Cosmology and Nongalactic Astrophysics · Physics 2012-03-27 Ugo Bertello

Constancy of the speed of light together with the Hubble law lead in a doctrine of expanding universe to a conclusion that universe evolution is not only an expansion of space but also a deceleration of the course of physical time (Taganov,…

General Physics · Physics 2008-07-28 Igor N. Taganov

The formalism of classical particle dynamics is reinvestigated according to the basic requirement of causal consistency, and a new equation of particle dynamics, which is more general and more in line with classical mechanics experiments…

Astrophysics · Physics 2016-02-03 ChiYi Chen

Gravity is understood as a geometrization of spacetime. But spacetime is also the manifold of the boundary values of the spinless point particle in a variational approach. Since all known matter, baryons, leptons and gauge bosons are…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Martin Rivas

Rovelli's relational interpretation of quantum mechanics tells us that the description of a system in the formalism of quantum mechanics is not an absolute, but it is relative to the observer itself. The interpretation goes further and…

Quantum Physics · Physics 2025-06-24 Pietro Dall'Olio , José A. Zapata

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

Classical mechanics, relativity, electrodynamics and quantum mechanics are often depicted as separate realms of physics, each with its own formalism and notion. This remains unsatisfactory with respect to the unity of nature and to the…

History and Philosophy of Physics · Physics 2018-02-07 C. Baumgarten

The space time that is used in relativistic Quantum Mechanics and Quantum Field Theory is the Minkowski space time. Yet, as pointed out by several scholars this classical space time is incompatible with the Heisenberg Uncertainity…

General Physics · Physics 2007-05-23 B. G. Sidharth

As a novel approach with possible relevance to semiclassical gravity, we propose to define regions of space as quantum subsystems. After recalling how to divide a generic quantum system into ``parts'', we apply this idea to a free scalar…

General Relativity and Quantum Cosmology · Physics 2009-10-02 Federico Piazza , Fabio Costa

It is demonstrated that the measured spatial separation of two objects, at rest in some inertial frame, is invariant under space-time transformations. This result holds in both Galilean and Special Relativity. A corollary is that there are…

General Physics · Physics 2009-09-01 J. H. Field

We make a critical comparison of relativistic and non-relativistic classical and quantum mechanics of particles in inertial frames and of the open problems in particle localization at the two levels. The solution of the problems of the…

Quantum Physics · Physics 2015-06-16 Horace W. Crater , Luca Lusanna

The physical meaning of the operators is not reducible to the intrinsic relations of the quantum system, since unitary transformations can find other operators satisfying the exact same relations. The physical meaning is determined…

Quantum Physics · Physics 2025-01-10 Ovidiu Cristinel Stoica

This work explores a classical mechanical theory under two further assumptions: (a) there is a universal dry friction force (Aristotelian mechanics), and (b) the variation of the mass of a body due to wear is proportional to the work done…

General Relativity and Quantum Cosmology · Physics 2014-12-02 E. Minguzzi

In the present paper I argue that the formalism of Newtonian mechanics stems directly from the general principle to be called the principle of microlevel reducibility which physical systems obey in the realm of classical physics. This…

History and Philosophy of Physics · Physics 2016-03-08 Ihor Lubashevsky

Special relativity turns out to be more than coordinate transformations in which the constancy of the speed of light plays the central role between two inertial reference frames. Special relativity, in essence, is a theory of…

General Physics · Physics 2007-06-13 M. Sultan Parvez

Starting with two light clocks to derive time dilation expression, as many textbooks do, and then adding a third one, we work on relativistic spacetime coordinates relations for some simple events as emission, reflection and return of light…

General Physics · Physics 2007-05-23 Nilton Penha , Bernhard Rothenstein

The description of an observer's measurement in general relativity and the standard model of particle physics is closely related to the spacetime metric. In order to understand and interpret measurements, which test the metric structure of…

General Relativity and Quantum Cosmology · Physics 2018-04-27 Norman Gürlebeck , Christian Pfeifer

The development of both special and general relativity is accomplished in a series of 6 papers using a simple approach. The purpose is to explain the how and why of relativity to a broad public, and to be useful for students of physics by…

Popular Physics · Physics 2020-02-28 Ralph Berger

In this Ph.D. thesis several topics in doubly special relativity are explored. The starting point of this theory is very different from other perspectives: it is not a fundamental theory, but it is considered a low energy limit of a quantum…

High Energy Physics - Theory · Physics 2020-08-20 J. J. Relancio