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A common misconception is that Lorentz invariance is inconsistent with a discrete spacetime structure and a minimal length: under Lorentz contraction, a Planck length ruler would be seen as smaller by a boosted observer. We argue that in…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Etera R. Livine , Daniele Oriti

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…

物理学史与哲学 · 物理学 2015-07-14 Allan Walstad

When speaking of the unification of quantum mechanics and relativity, one normally refers to special relativity (SR) or to Einstein general relativity (GR). The Dirac and Klein-Gordon wave equations are an example of unification of quantum…

综合物理 · 物理学 2012-01-31 Leonardo Chiatti

Special relativity theory is well established and confirmed by experiments. This research establishes an operational measurement way to express the great theory in a geometrical form. This may be valuable for understanding the underlying…

综合物理 · 物理学 2007-05-23 Xiao Jianhua

We argue that correct account of the quantum properties of macroscopic objects which form reference frames (RF) demand the change of the standard space-time picture accepted in Quantum Mechanics. The presence of RF free quantum motion in…

广义相对论与量子宇宙学 · 物理学 2008-02-03 S. Mayburov

A new formulation of relativistic quantum mechanics is proposed in the framework of the rest-frame instant form of dynamics with its instantaneous Wigner 3-spaces and with its description of the particle world-lines by means of derived…

高能物理 - 理论 · 物理学 2015-05-13 David Alba , Horace Crater , Luca Lusanna

In this paper we derive the complex Hilbert space formalism of quantum theory from four simple information theoretic axioms. It is shown that quantum theory is the only non classical probabilistic theory satisfying the following axioms:…

量子物理 · 物理学 2012-12-27 Marco Zaopo

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…

量子物理 · 物理学 2025-12-23 Pranav Vaidhyanathan , Gerard J. Milburn

Having started with the general formulation of the quantum theory of the real scalar field (QFT) in the general Riemannian space--time $ V_{1,3} $, the general--covariant quasinonrelativistic quantum mechanics of a point-like spinless…

广义相对论与量子宇宙学 · 物理学 2007-05-23 E. A. Tagirov

A fully Poincare' covariant model is constructed out of the k-Minkowski spacetime. Covariance is implemented by a unitary representation of the Poincare' group, and thus complies with the original Wigner approach to quantum symmetries. This…

高能物理 - 理论 · 物理学 2012-06-12 Ludwik Dabrowski , Gherardo Piacitelli

We recast the finite-region analysis of Einstein's equations that underpins the ER=EPR program into the loop quantum gravity (LQG) framework. By translating curvature-energy uncertainty relations into holonomy-flux kinematics, and by…

广义相对论与量子宇宙学 · 物理学 2025-08-29 Fabrizio Tamburini

We investigate the effects of Quantum Gravity on the Planck era of the universe. In particular, using different versions of the Generalized Uncertainty Principle and under specific conditions we find that the main Planck quantities such as…

高能物理 - 理论 · 物理学 2010-09-28 Spyros Basilakos , Saurya Das , Elias C. Vagenas

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…

广义相对论与量子宇宙学 · 物理学 2011-05-05 Joao Magueijo , Lee Smolin

I summarize a research program that aims to reconstruct quantum theory from a fundamental physical principle that, while a quantum system has no intrinsic hidden variables, it can be understood using a reference measurement. This program…

量子物理 · 物理学 2025-12-16 Blake C. Stacey

Einstein-Podolsky-Rosen's paper in 1935 is discussed in parallel with an EPR experiment on $K^0\bar{K}^0$ system in 1998, yielding a strong hint of distinction in both wave-function and operators between particle and antiparticle at the…

综合物理 · 物理学 2012-07-24 Guang-jiong Ni , Suqing Chen , Jianjun Xu

Quantum mechanics introduces the concept of probability at the fundamental level, yielding the measurement problem. On the other hand, recent progress in cosmology has led to the "multiverse" picture, in which our observed universe is only…

高能物理 - 理论 · 物理学 2012-05-10 Yasunori Nomura

Quantum theory is usually formulated in terms of abstract mathematical postulates, involving Hilbert spaces, state vectors, and unitary operators. In this work, we show that the full formalism of quantum theory can instead be derived from…

量子物理 · 物理学 2011-06-07 Lluis Masanes , Markus P. Mueller

A general formulation of classical relativistic particle mechanics is presented, with an emphasis on the fact that superluminal velocities and nonlocal interactions are compatible with relativity. Then a manifestly relativistic-covariant…

高能物理 - 理论 · 物理学 2019-11-19 H. Nikolic

We show that EPR's criterion of reality leads to contradictions in quantum mechanics. When locality is assumed, an inequality involving only one particle is violated, while when parameter and outcome dependence are assumed, EPR-realism is…

量子物理 · 物理学 2013-02-05 Florin Moldoveanu

The relativity to the measuring device in quantum theory, i.e. the covariance of local dynamical variables relative transformations to moving quantum reference frame in Hilbert space, may be achieved only by the rejection of super-selection…

综合物理 · 物理学 2007-05-23 Peter Leifer