THE SHADOW OF LIGHT: CHALLENGING CLASSICAL AND QUANTUM ELECTRODYNAMICS

2007 ◽  
Vol 21 (26) ◽  
pp. 4437-4471 ◽  
Author(s):  
FABIO CARDONE ◽  
ROBERTO MIGNANI
Keyword(s):  
Quantum Mechanics ◽  
Quantum Electrodynamics ◽  
Lorentz Invariance ◽  
Anomalous Behavior ◽  
Copenhagen Interpretation ◽  
Threshold Behavior ◽  
Standard Quantum ◽  
Pilot Wave ◽  
Bohmian Quantum Mechanics ◽  
Local Lorentz Invariance

We review some optical experiments, carried out in the last decade, which evidence an anomalous behavior of photon systems. Their results are apparently at variance with both standard quantum mechanics (in the Copenhagen interpretation) and usual (classical and quantum) electrodynamics. In particular, they can be interpreted as a virtual interference involving the pilot waves associated to photons (according to Bohmian quantum mechanics). The anomalous effects exhibit a threshold behavior in energy and space, which agrees with results obtained on the electromagnetic breakdown of local Lorentz invariance. A possible connection between these seemingly unrelated implications of the observed phenomenon can be set by assuming that the pilot wave of a photon is a deformation of spacetime ("shadow of light").

ONE DIMENSIONAL SCATTERING PROBLEM IN BOHMIAN QUANTUM MECHANICS

2009 ◽  
Vol 07 (05) ◽  
pp. 1029-1038
Author(s):  
S. MOHAMMADI
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Scattering Problem ◽  
Additional Element ◽  
Standard Quantum ◽  
Quantum Tunnelling ◽  
Barrier Heights ◽  
Bohmian Quantum Mechanics ◽  
Bohmian Interpretation ◽  
De Broglie Bohm

According to Standard Quantum Mechanics (SQM), known as the Copenhagen Interpretation, the complete description of a system of particles is provided by its wave function. However, in the de Broglie-Bohm theory of Bohmian Quantum Mechanics (BQM), the additional element which is introduced apart from the wave function is the particle position, conceived in the classical sense as pursuing a definite continuous track in space-time. In BQM formulation, depending on the configuration of the potential barrier and the energy of the packet, the particle trajectories have been shown to take distinct paths. We will consider several barrier heights and show that in a Bohmian interpretation of the problem, there is no such thing as Quantum Tunnelling.

Energy, Information, and Superluminal Speed in Quantum Electrodynamics

2020 ◽  
pp. 27-33
Author(s):  
Boris A. Veklenko
Keyword(s):  
Electromagnetic Field ◽  
Perturbation Theory ◽  
Quantum Electrodynamics ◽  
Excited Atom ◽  
Standard Quantum ◽  
Energy Information

Without using the perturbation theory, the article demonstrates a possibility of superluminal information-carrying signals in standard quantum electrodynamics using the example of scattering of quantum electromagnetic field by an excited atom.

scholarly journals Standard quantum mechanics without observers

2021 ◽  
Vol 103 (3) ◽  
Author(s):  
Ovidiu Cristinel Stoica
Keyword(s):  
Quantum Mechanics ◽  
Standard Quantum

scholarly journals From the Universe to Subsystems: Why Quantum Mechanics Appears More Stochastic than Classical Mechanics

2016 ◽  
Vol 15 (03) ◽  
pp. 1640002 ◽  
Author(s):  
Andrea Oldofredi ◽  
Dustin Lazarovici ◽  
Dirk-André Deckert ◽  
Michael Esfeld
Keyword(s):  
Quantum Mechanics ◽  
Classical Mechanics ◽  
Bohmian Quantum Mechanics ◽  
The Universe

By means of the examples of classical and Bohmian quantum mechanics, we illustrate the well-known ideas of Boltzmann as to how one gets from laws defined for the universe as a whole the dynamical relations describing the evolution of subsystems. We explain how probabilities enter into this process, what quantum and classical probabilities have in common and where exactly their difference lies.

Degrees of freedom and problems in f(T) gravity

2018 ◽  
Vol 15 (supp01) ◽  
pp. 1850139 ◽  
Author(s):  
Yen Chin Ong
Keyword(s):  
Degrees Of Freedom ◽  
Lorentz Invariance ◽  
Modified Theories Of Gravity ◽  
Recent Effort ◽  
Original Formulation ◽  
Actual Number ◽  
Specific Choice ◽  
Superluminal Propagation ◽  
Theories Of Gravity ◽  
Local Lorentz Invariance

Torsion-based modified theories of gravity, such as [Formula: see text] gravity, are arguably one of the very few “true” modified gravities based on well-defined geometric structures. However, the original formulation explicitly works in a specific choice of frame, which has led to considerable amount of confusion in the literature about these theories breaking local Lorentz invariance. Pathological properties such as superluminal propagation and the lack of well-posedness of Cauchy problem were found to plague [Formula: see text] gravity. Recent effort to “covariantize” [Formula: see text] gravity has, however, renewed interests in this subject. In this proceeding paper, we review and discuss issues concerning the actual number of degrees of freedom in [Formula: see text] gravity, and how this might relate to the aforementioned pathologies.

scholarly journals Broadening quantum cosmology with a fractional whirl

2021 ◽  
pp. 2140005
Author(s):  
S. M. M. Rasouli ◽  
S. Jalalzadeh ◽  
P. V. Moniz
Keyword(s):  
Quantum Mechanics ◽  
Fractional Calculus ◽  
Quantum Cosmology ◽  
Cosmological Solution ◽  
Isotropic Universe ◽  
Fractional Quantum ◽  
Stiff Matter ◽  
Standard Quantum

We start by presenting a brief summary of fractional quantum mechanics, as means to convey a motivation towards fractional quantum cosmology. Subsequently, such application is made concrete with the assistance of a case study. Specifically, we investigate and then discuss a model of stiff matter in a spatially flat homogeneous and isotropic universe. A new quantum cosmological solution, where fractional calculus implications are explicit, is presented and then contrasted with the corresponding standard quantum cosmology setting.

scholarly journals Nonlinear Generalisation of Quantum Mechanics

2021 ◽  
Author(s):  
Alireza Jamali
Keyword(s):  
Hilbert Space ◽  
Quantum Mechanics ◽  
Lorentz Invariance ◽  
Current Theory ◽  
Quantum Mechanical ◽  
Dynamical Condition ◽  
Current Definition ◽  
Klein Gordon ◽  
Definition Of ◽  
Mechanical Momentum

It is known since Madelung that the Schrödinger equation can be thought of as governing the evolution of an incompressible fluid, but the current theory fails to mathematically express this incompressibility in terms of the wavefunction without facing problem. In this paper after showing that the current definition of quantum-mechanical momentum as a linear operator is neither the most general nor a necessary result of the de Broglie hypothesis, a new definition is proposed that can yield both a meaningful mathematical condition for the incompressibility of the Madelung fluid, and nonlinear generalisations of Schrödinger and Klein-Gordon equations. The derived equations satisfy all conditions that are expected from a proper generalisation: simplification to their linear counterparts by a well-defined dynamical condition; Galilean and Lorentz invariance (respectively); and signifying only rays in the Hilbert space.

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