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In this paper, we only treat the law of inertia as the first principle, then a nontrivial geometry emerges by introducing more universal constants, in which the main ideas appearing in deformed special relativity (DSR), (Anti-)de Sitter…

Mathematical Physics · Physics 2023-03-07 Zhi Hu , Mulin Yan , Runhong Zong

We present a simple algebraic argument for the conclusion that the low energy limit of a quantum theory of gravity must be a theory invariant, not under the Poincare group, but under a deformation of it parameterized by a dimensional…

High Energy Physics - Theory · Physics 2009-11-10 Giovanni Amelino-Camelia , Lee Smolin , Artem Starodubtsev

Recently a scale invariant theory of gravity was constructed by imposing a conformal symmetry on general relativity. The imposition of this symmetry changed the configuration space from superspace - the space of all Riemannian 3-metrics…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Bryan Kelleher

Newtonian mechanics has the concept of an absolute inertial rest frame. Special relativity eliminates the absolute rest frame but continues to require the absolute inertial frame. General relativity solves this for gravity by requiring…

Mathematical Physics · Physics 2007-05-23 Stephen G. Low

A solution of the sourceless Einstein's equation with an infinite value for the cosmological constant \Lambda is discussed by using Inonu-Wigner contractions of the de Sitter groups and spaces. When \Lambda --> infinity, spacetime becomes a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Aldrovandi , A. L. Barbosa , M. Calcada , J. G. Pereira

The idea that asymptotic de Sitter space can be described by a finite Hilbert Space implies that any quantum measurement has an irreducible innacuracy. We argue that this prevents any measurement from verifying the existence of the Poincare…

High Energy Physics - Theory · Physics 2009-11-07 T. Banks , W. Fischler , S. Paban

A new explanation for space contraction and time dilation in special relativity is offered based on kinetic energy differences between observers rather than velocity differences. The classical (Newtonian) concept of projectile motion…

History and Philosophy of Physics · Physics 2018-01-16 Paul A. Klevgard

In many different ways, Deformed Special Relativity (DSR) has been argued to provide an effective limit of quantum gravity in almost-flat regime. Unfortunately DSR is up to now plagued by many conceptual problems (in particular how it…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Florian Girelli , Etera R. Livine

A class of exact solutions of Einstein's equations is presented which describes accelerating photon rockets in de Sitter and anti-de Sitter universe. These are particular members of the Robinson-Trautman family of axially symmetric…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jiri Podolsky

We present a new approach to the covariant canonical formulation of Einstein-Cartan gravity that preserves the full Lorentz group as the local gauge group. The method exploits lessons learned from gravity in 2+1 dimensions regarding the…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Andrew Randono

$f(T)$ gravity offers an alternative context in which to consider gravitational interactions where torsion, rather than curvature, is the mechanism by which gravitation is communicated. We investigate the stability of the Kasner solution…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Andronikos Paliathanasis , Jackson Levi Said , John D. Barrow

If our universe is asymptotic to a de Sitter space, it should be closed with curvature in $O(\Lambda)$ in view of dS special relativity. Conversely, its evolution can fix on Beltrami systems of inertia in the dS-space without Einstein's…

High Energy Physics - Theory · Physics 2008-11-26 Han-Ying Guo

Einstein Gravity can be formulated as a gauge theory with the tangent space respecting the Lorentz symmetry. In this paper we show that the dimension of the tangent space can be larger than the dimension of the manifold and by requiring the…

High Energy Physics - Theory · Physics 2013-10-18 Ali H. Chamseddine , Viatcheslav Mukhanov

General relativity is unable to determine the topology of the Universe. We propose to apply quantum approach. Quantization of dynamics of a test particle is sensitive to the spacetime topology. Presented results for a particle in de Sitter…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Wlodzimierz Piechocki

When Einstein formulated his special relativity, he developed his dynamics for point particles. Of course, many valiant efforts have been made to extend his relativity to rigid bodies, but this subject is forgotten in history. This is…

Quantum Physics · Physics 2009-11-10 Y. S. Kim , Marilyn E. Noz

The formalism of Fantappie-Arcidiacono Projective General Relativity - also known as De Sitter Relativity - has recently been revised in order to make possible cosmological models with expansion, similarly to ordinary Fridman cosmology…

General Physics · Physics 2015-05-19 Leonardo Chiatti

Einstein's special theory of relativity starts with assumptions about how observations conducted in relatively moving inertial frames must compare. From these assumptions, conclusions can be drawn regarding the laws of physics in any one…

History and Philosophy of Physics · Physics 2015-07-14 Allan Walstad

We will address the question of the consistency of teleparallel theories in presence of spinning matter which has been a controversial subject of discussion over the last twenty years. We argue that the origin of the problem is not simply…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Leclerc

Stealth solutions of scalar-tensor gravity and less-known de Sitter spaces that generalize them are analyzed regarding their possible role as thermal equilibria at non-zero temperature in the new first-order thermodynamics of scalar-tensor…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Serena Giardino , Andrea Giusti , Valerio Faraoni

We consider scalar field theory in de Sitter space with a general vacuum invariant under the continuously connected symmetries of the de Sitter group. We begin by reviewing approaches to define this as a perturbative quantum field theory.…

High Energy Physics - Theory · Physics 2009-11-10 Kevin Goldstein , David A. Lowe