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Light in a dielectric medium moves slower than in vacuum. The corresponding electromagnetic field equations are then no longer invariant under ordinary Lorentz transformations, but only under such transformations corresponding to this…

Quantum Physics · Physics 2008-09-25 Finn Ravndal

Based on the precision experimental data of energy-level differences in hydrogenlike atoms, especially the 1S-2S transition of hydrogen and deuterium, the necessity of establishing a reduced Dirac equation (RDE) with reduced mass as the…

Quantum Physics · Physics 2010-07-20 Guang-jiong Ni , Jianjun Xu , Senyue Lou

I show that Quantum Electrodynamics (QED) predicts a sort of uncertainty principle on the number of the "soft photons" that can be produced in coincidence with the particles that are observed in any EPR experiment. This result is argued to…

Quantum Physics · Physics 2007-05-23 Daniele Tommasini

The theory of Non-Relativistic Quantum Mechanics was created (or discovered) back in the 1920's mainly by Schr\"odinger and Heisenberg, but it is fair enough to say that a more modern and unified approach to the subject was introduced by…

Quantum Physics · Physics 2013-01-01 Augusto Cesar Lobo , Clyffe de Assis Ribeiro

The relativistic positive-energy wave equation proposed by P. Dirac in 1971 is an old but largely forgotten subject. The purpose of this note is to speculate that particles described by this equation (called here Dirac particles) are…

High Energy Physics - Theory · Physics 2024-06-05 Eugene Bogomolny

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…

General Physics · Physics 2012-07-24 Guang-jiong Ni , Suqing Chen , Jianjun Xu

In 1905, Einstein formulated his special relativity for point particles. For those particles, his Lorentz covariance and energy-momentum relation are by now firmly established. How about the hydrogen atom? It is possible to perform Lorentz…

Quantum Physics · Physics 2011-12-05 Y. S. Kim

The condensation of elementary quanta and their macroscopic occupation of the same quantum state, say k=0 in some reference frame Sigma, is the essential ingredient of the degenerate vacuum of present-day elementary particle physics. This…

General Physics · Physics 2014-05-22 M. Consoli , C. Matheson , A. Pluchino

In his analysis of the Classical Theory of Radiating Electrons, Dirac (1938) draws attention to the characteristic instability of solutions to the third order equation of motion. He remarks that changing the sign of the self-force…

General Physics · Physics 2016-09-30 M. A. Oliver

Attempts at an electromagnetic explanation of the inertial mass of charged particles have recently been revived within the framework of Stochastic Electrodynamics, characterized by the adoption of a classical version of the electromagnetic…

General Physics · Physics 2007-05-23 Michael Ibison

Although the standard generally-covariant Dirac equation is unique in a topologically simple spacetime, it has been shown that it leads to non-uniqueness problems for the Hamiltonian and energy operators, including the non-uniqueness of the…

Mathematical Physics · Physics 2013-09-04 Mayeul Arminjon

This article reports on a student summer project performed in 2006 at the University of Frankfurt. It is addressed to undergraduate students familiar with the basic principles of relativistic quantum mechanics and general relativity. The…

Physics Education · Physics 2008-11-26 Martin Kober , Benjamin Koch , Marcus Bleicher

There were many attempts to geometrize electromagnetic field and find out new interpretation for quantum mechanics formalism. The distinctive feature of this work is that it combines geometrization of electromagnetic field and…

High Energy Physics - Theory · Physics 2009-11-11 O. A. Ol'khov

Entropic Dynamics (ED) is a framework for constructing dynamical theories of inference using the tools of inductive reasoning. A central feature of the ED framework is the special focus placed on time. In previous work a global entropic…

General Relativity and Quantum Cosmology · Physics 2018-03-19 Selman Ipek , Mohammad Abedi , Ariel Caticha

In the study of the electronic structure of heavy atoms, relativistic effects cannot be neglected and the Dirac operator naturally appears in place of the Schr\"odinger operator, raising a number of additional difficulties. The complexity…

Analysis of PDEs · Mathematics 2025-02-18 Umberto Morellini

Quantum mechanics emerges a la Verlinde from a foliation of space by holographic screens, when regarding the latter as entropy reservoirs that a particle can exchange entropy with. This entropy is quantised in units of Boltzmann's constant…

High Energy Physics - Theory · Physics 2011-09-21 D. Acosta , P. Fernandez de Cordoba , J. M. Isidro , J. L. G. Santander

On the seminal paper written by Einstein, Podolsky and Rosen [1], a critique to the completeness of quantum mechanics was posed. Part of the critique consisted in the following argument: if quantum mechanics is complete, then, two physical…

Quantum Physics · Physics 2021-05-07 Angel Garcia-Chung

The theory of point-particles in classical electrodynamics has a well-known problem of infinite self-energy, and the same is true of quantum electrodynamics. Instead of concluding that there is no such thing as a true point-particle, it is…

Classical Physics · Physics 2026-03-19 Andrew T. Hyman

The direct interaction theory of electromagnetism, also known as Wheeler-Feynman electrodynamics, is often misinterpreted and found unappealing because of its reference to the absorber and, more importantly, to the so-called absorber…

Classical Physics · Physics 2015-06-16 G. Bauer , D. -A. Deckert , Detlef Dürr , Günter Hinrichs

In this article, we analyze the third of three papers, in which Einstein presented his quantum theory of the ideal gas of 1924-1925. Although it failed to attract the attention of Einstein's contemporaries and although also today very few…

History and Philosophy of Physics · Physics 2013-12-17 Enric Pérez , Tilman Sauer