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Traditional derivations of general relativity from the graviton degrees of freedom assume space-time Lorentz covariance as an axiom. In this essay, we survey recent evidence that general relativity is the unique spatially-covariant…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Justin Khoury , Godfrey E. J. Miller , Andrew J. Tolley

The Einstein theories of space-time and gravity as well the stander cosmology are reconstructed thoroughly in this paper based on flat reference frame. The rational parts of the Einstein theories are reserved while the irrational parts…

General Physics · Physics 2007-05-23 Mei Xiaochun

In this work, Einstein's view of geometry as physical geometry is taken into account in the analysis of diverse issues related to the notions of inertial motion and inertial reference frame. Einstein's physical geometry enables a…

History and Philosophy of Physics · Physics 2014-04-29 Mario Bacelar Valente

It is often assumed that the most general transformation between two inertial reference frames is affine linear in their Cartesian coordinates, an assumption which is however not true. We provide a complete derivation of the most general…

Classical Physics · Physics 2026-01-01 Nicholas Agia

We show how the anisotropy resulting from the motion of an observer in an isotropic universe may be determined by measurements. This provides a means to identify inertial frames, yielding a simple resolution to the twins paradox of…

General Physics · Physics 2009-11-11 Subhash Kak

The paper derived differential equations which solve the problem of restoration the motion parameters for a rigid reference frame from the known proper acceleration and angular velocity of its origin as functions of proper time. These…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Vitaliy Voytik

In this work we show that the null result of the Michelson-Morley experiment in vacuum is deeply connected with the notion of time. It can be deduced without any mathematics only from the assumption that all good clocks can be used to…

Physics Education · Physics 2007-05-23 Vasco Guerra , Rodrigo de Abreu

We study the case of two rockets which meet at a point O of an inertial co-ordinate system S, and are scheduled to move at constant speed, in opposite directions, toward two targets placed at equal distances from point O. At the instant…

General Physics · Physics 2008-12-14 Joseph Levy

We present a novel derivation of the spacetime metric generated by matter, without invoking Einstein's field equations. For static sources, the metric arises from a relativistic formulation of D'Alembert's principle, where the inertial…

History and Philosophy of Physics · Physics 2025-10-17 Jaume de Haro , Emilio Elizalde

We introduce observables associated with the space-time position of a quantum point defined by the intersection of two light pulses. The time observable is canonically conjugated to the energy. Conformal symmetry of massless quantum fields…

Quantum Physics · Physics 2009-10-30 Marc-Thierry Jaekel , Serge Reynaud

In the present study, we have derived the Lorentz factor using a coordinate system with antiparallel X-axes. Using a thought experiment, common in relativistic literature, we have used the case of a pulse of light moving along the X-axis.…

Popular Physics · Physics 2026-02-17 Diego Roldan , Rodrigo Sempertegui , Francisco Roldan

In Newtonian physics, the excitation spectrum of a fluid is the same in all reference frames, up to a trivial shift. In special relativity, this is no longer the case. Relativity of simultaneity causes different inertial observers to…

General Relativity and Quantum Cosmology · Physics 2026-01-07 Lorenzo Gavassino

Symmetry breaking is discussed in this paper which comes from the Lorentz transformation of special relativity and changes our view that two relatively moving bodies always have the relative speed equal in magnitude and opposite in…

General Physics · Physics 2007-05-23 Bin-Guang Ma

Based on the principle of relativity and the postulate on universal invariant constants ($c,l$) as well as Einstein's isotropy conditions, three kinds of special relativity form a triple with a common Lorentz group as isotropy group under…

Mathematical Physics · Physics 2009-11-13 Han-Ying Guo , Hong-Tu Wu , Bin Zhou

A careful study is made of the operational meaning of the time symbols appearing in the space-time Lorentz transformation. Four distinct symbols, with different physical meanings, are needed to describe reciprocal measurements involving…

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

The conventional nature of synchronisation is discussed in inertial frames, where it is found that theories using different synchronisations are experimentally equivalent to special relativity. In contrary, in accelerated systems only a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Francois Goy

In this manuscript, we show that three fundamental building blocks are supporting the Cosmological Principle. The first of them states that there is a special frame in the universe where the spatial geometry is intrinsically homogeneous and…

General Relativity and Quantum Cosmology · Physics 2024-01-05 Leandro G. Gomes

The three original publications in this thesis encompass various aspects in the still developing area of noncommutative quantum field theory, ranging from fundamental concepts to model building. One of the key features of noncommutative…

High Energy Physics - Theory · Physics 2009-09-17 Sami Saxell

There are many papers devoted to derivation of Lorentz Transformations (LT). Many people have pro posed alternative derivations. Their analysis allows looking at LT and their consequences from different standpoints. At the same time it is…

Classical Physics · Physics 2012-08-20 E. G. Bessonov

A Lorentz invariant statistical model is presented for rotational fluctuations in the local inertial frame that arise from new quantum degrees of freedom of space-time. The model assumes invariant classical causal structure, and a Planck…

General Relativity and Quantum Cosmology · Physics 2017-06-09 Craig Hogan , Ohkyung Kwon , Jonathan Richardson
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