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If a wave function does not describe microscopic reality then what does? Reformulating quantum mechanics in path-integral terms leads to a notion of "precluded event" and thence to the proposal that quantal reality differs from classical…

Quantum Physics · Physics 2015-06-15 Rafael D. Sorkin

It is natural to ask whether non-commutative geometry plays a role in four dimensional physics. By performing explicit computations in various toy models, we show that quantum effects lead to violations of Lorentz invariance at the level of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alexey Anisimov , Tom Banks , Michael Dine , Michael Graesser

Relativity opens the door to a counter-intuitive fact: a state can be stable to perturbations in one frame of reference, and unstable in another one. For this reason, the job of testing the stability of states that are not Lorentz-invariant…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Lorenzo Gavassino

Irreversibility implies a preferred flow of time, yet special relativity denies the existence of a preferred clock. This tension has long obstructed the formulation of a relativistic master equation: standard Markovian approximations either…

Quantum Physics · Physics 2025-12-23 Pranav Vaidhyanathan , Gerard J. Milburn

We begin by discussing ``What exists?'', i.e. ontology, in Classical Physics which provided a description of physical phenomena at the macroscopic level. The microworld however necessitates a introduction of Quantum ideas for its…

Quantum Physics · Physics 2007-05-23 Virendra Singh

We consider a model of Quantum Gravity phenomenology, based on the idea that space-time may have some unknown granular structure that respects the Lorentz symmetry. The proposal involves non-trivial couplings of curvature to matter fields…

General Relativity and Quantum Cosmology · Physics 2008-01-21 Y. Bonder

We present an elementary, symmetry-first derivation of the Lorentz transformation together with a methodological clarification of the linearity step. Starting from the Principle of Relativity, supplemented by spacetime homogeneity,…

Classical Physics · Physics 2026-05-26 Nianjun Tan

Several approaches to quantum gravity suggest violations of Lorentz symmetry as low-energy signatures. This article uses a concrete Lorentz-violating quantum field theory to study different inertial vacua. We show that they are unitarily…

High Energy Physics - Theory · Physics 2023-05-05 Bruno Arderucio Costa , Yuri Bonder , Benito A. Juárez-Aubry

Lorentz invariance of the current operators implies that they satisfy the well-known commutation relations with the representation operators of the Lorentz group. It is shown that if the standard construction of the current operators in…

High Energy Physics - Theory · Physics 2016-09-06 Felix M. Lev

In the special theory of relativity, Lorentz invariance is extended in Minkowski spacetime from ideal inertial observers to actual observers by means of the hypothesis of locality, which postulates that accelerated observers are always…

General Relativity and Quantum Cosmology · Physics 2009-11-18 Bahram Mashhoon

We propose a modification of special relativity in which a physical energy, which may be the Planck energy, joins the speed of light as an invariant, in spite of a complete relativity of inertial frames and agreement with Einstein's theory…

High Energy Physics - Theory · Physics 2011-09-14 Joao Magueijo , Lee Smolin

An experiment by Proietti {\it et al} purporting to instantiate the `Wigner's Friend' thought experiment is discussed. It is pointed out that the stated implications of the experiment regarding the alleged irreconcilability of facts…

Quantum Physics · Physics 2023-03-30 R. E. Kastner

Generators of spacetime translations and Lorentz group transformations form the Lie algebra of the Poincar\'e group and give rise to the Casimir invariants for a specification of elementary particle characteristics. Moreover quantum…

High Energy Physics - Theory · Physics 2018-06-19 V. V. Khruschov

After a review of the problems induced by the Lorentz signature of Minkowski space-time, like the need of a clock synchronization convention for the definition of 3-space and the complexity of the notion of relativistic center of mass,…

Quantum Physics · Physics 2015-05-20 Luca Lusanna

For a century, quantum theorists have been reading the mathematical entrails of quantum mechanics (QM) to divine the nature of quantum reality. But to little avail. In this paper a different approach is taken, namely to identify and explain…

Quantum Physics · Physics 2025-11-11 David Ellerman

Two exotic elements have been introduced into the standard cosmological model: non-baryonic dark matter and dark energy. The success in converting a hypothesis into a solid theory depends strongly on whether we are able to solve the…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-08 Martin Lopez-Corredoira

It is well known that entanglement under Lorentz boosts is highly dependent on the boost scenario in question. For single particle states, a spin-momentum product state can be transformed into an entangled state. However, entanglement is…

Quantum Physics · Physics 2021-09-23 Marcos Basso , Jonas Maziero

The paper treats the issue of the length of a rotating circumference as seen from on board the moving disk and from an inertial reference frame. It is shown that, properly defining a measuring process, the result is in both cases 2piR thus…

Classical Physics · Physics 2009-10-31 Angelo Tartaglia

Reality of quantum observables, a feature of long-standing interest within foundations of quantum mechanics, has recently been quantified and deeply studied by means of entropic measures [Phys. Rev. A 97, 022107 (2018)]. However, there is…

Quantum Physics · Physics 2019-01-29 Łukasz Rudnicki

The hypothesis that the Lorentz transformations may be modified at Planck scale energies is further explored. We present a general formalism for theories which preserve the relativity of inertial frames with a non-linear action of the…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Joao Magueijo , Lee Smolin
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