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We have defined slowness (or reciprocal velocity, corresponding to velocity v) as cc/v, where c is the speed of light. It is observed that the relative velocity remains invariant if the velocities are replaced by corresponding slownesses…

数学物理 · 物理学 2007-05-23 Mushfiq Ahmad

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…

量子物理 · 物理学 2009-10-30 Marc-Thierry Jaekel , Serge Reynaud

At the intersection of quantum theory and relativity lies the possibility of a clock experiencing a superposition of proper times. We consider quantum clocks constructed from the internal degrees of relativistic particles that move through…

量子物理 · 物理学 2021-02-09 Alexander R. H. Smith , Mehdi Ahmadi

We discuss scalar quantum field theories in a Lorentz-invariant three-dimensional noncommutative space-time. We first analyze the one-loop diagrams of the two-point functions, and show that the non-planar diagrams are finite and have…

高能物理 - 理论 · 物理学 2014-11-18 Shin'ichi Imai , Naoki Sasakura

This presentation discusses some of the signals for Lorentz violation potentially observable in atomic spectroscopy and clock-comparison experiments. The emphasis of the discussion is on how the angular-momentum quantum numbers of the…

高能物理 - 唯象学 · 物理学 2023-01-18 Arnaldo J. Vargas

The conflict between quantum theory and the theory of relativity is exemplified in their treatment of time. We examine the ways in which their conceptions differ, and describe a semiclassical clock model combining elements of both theories.…

量子物理 · 物理学 2019-01-23 Maximilian P. E. Lock , Ivette Fuentes

According to the locality postulate of special relativity, the measurements of physical fields by accelerated observers at a given event in Minkowski spacetime are related to each other by the representations of the Lorentz group. Nonlocal…

广义相对论与量子宇宙学 · 物理学 2022-06-15 Bahram Mashhoon

Ever since the work of von Ignatowsky circa 1910 it has been known (if not always widely appreciated) that the relativity principle, combined with the basic and fundamental physical assumptions of locality, linearity, and isotropy, leads…

广义相对论与量子宇宙学 · 物理学 2015-06-03 Valentina Baccetti , Kyle Tate , Matt Visser

If space-time is emergent from a fundamentally non-geometric theory it will generically be left with defects. Such defects need not respect the locality that emerges with the background. Here, we develop a phenomenological model that…

高能物理 - 唯象学 · 物理学 2014-01-03 Sabine Hossenfelder

The successful miniaturization of extremely accurate atomic clocks invites prospects for satellite missions to perform precise timing experiments. This will allow effects predicted by general relativity to be detected in Earth's…

地球与行星天体物理 · 物理学 2014-04-07 Raymond Angélil , Prasenjit Saha , Ruxandra Bondarescu , Philippe Jetzer , Andreas Schärer , Andrew Lundgren

We study the space-time symmetries and transformation properties of the non-commutative U(1) gauge theory, by using Noether charges. We carry out our analysis by keeping an open view on the possible ways $\theta^{\mu \nu}$ could transform.…

高能物理 - 理论 · 物理学 2009-11-07 A. Iorio , T. Sykora

We have shown that Lorentz transformation is not necessary to present relativistic relative velocity. A modified definition of velocity together with Galilean transformation is equivalent to relativistic relative velocity. On the other…

数学物理 · 物理学 2007-05-23 Mushfiq Ahmad

Separate constituents of extended systems measure proper-times on different world-lines. Relating and comparing proper-time measurements along any two such world-lines requires that common simultaneity be possible, which in turn implies…

经典物理 · 物理学 2019-07-16 Uri Ben-Ya'acov

We consider defining time as a function of a cyclical field, an abstraction of a clock. The definition of time corresponds to a novel interpretation of the relationship between space-time coordinates of observers at different locations in…

广义相对论与量子宇宙学 · 物理学 2009-09-29 Yaneer Bar-Yam

In recent years, different views on the interpretation of Lorentz covariance of non commuting coordinates were discussed. Here, by a general procedure, we construct the minimal canonical central covariantisation of the k-Minkowski…

高能物理 - 理论 · 物理学 2014-11-20 Ludwik Dabrowski , Michal Godlinski , Gherardo Piacitelli

We investigate the implications of energy-dependence of the speed of photons, one of the candidate effects of quantum-gravity theories that has been most studied recently, from the perspective of observations in different reference frames.…

高能天体物理现象 · 物理学 2015-03-14 Uri Jacob , Flavio Mercati , Giovanni Amelino-Camelia , Tsvi Piran

We study the translational invariance of the relative-locality framework proposed in arXiv:1101.0931, which had been previously established only for the case of a single interaction. We provide an explicit example of boundary conditions at…

The successful miniaturisation of extremely accurate atomic clocks and atom interferometers invites prospects for satellite missions to perform precision experiments. We discuss the effects predicted by general relativity and alternative…

广义相对论与量子宇宙学 · 物理学 2015-06-10 Ruxandra Bondarescu , Andreas Schärer , Philippe Jetzer , Raymond Angélil , Prasenjit Saha , Andrew Lundgren

Lorentz and CPT invariance are among the symmetries that can be investigated with ultrahigh precision in subatomic physics. Being spacetime symmetries, Lorentz and CPT invariance can be violated by minuscule amounts in many theoretical…

高能物理 - 唯象学 · 物理学 2016-04-21 Ralf Lehnert

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…

综合物理 · 物理学 2007-05-23 Nilton Penha , Bernhard Rothenstein