From special relativity to quantum mechanics through interval and phase

1985 ◽  
Vol 42 (8) ◽  
pp. 430-434
Author(s):  
E. Malcor
Keyword(s):  
Quantum Mechanics ◽  
Special Relativity

scholarly journals Ontology of a Wavefunction from the Perspective of an Invariant Proper Time

2021 ◽  
Author(s):  
Salim Yasmineh
Keyword(s):  
Quantum Mechanics ◽  
Special Relativity ◽  
Proper Time ◽  
Finite Density ◽  
Confining Potential ◽  
Standard Time ◽  
Related Matter ◽  
Local Mechanism ◽  
Non Local ◽  
The Individual

All the arguments of a wavefunction are defined at the same instant implying a notion of simultaneity. In a somewhat related matter, certain phenomena in quantum mechanics seem to have non-local causal relations. Both concepts are in contradiction with special relativity. We propose to define the wavefunction with respect to the invariant proper time of special relativity instead of standard time. Moreover, we shall adopt the original idea of Schrodinger suggesting that the wavefunction represents an ontological cloud-like object that we shall call ‘individual fabric’ that has a finite density amplitude vanishing at infinity. Consequently, measurement can be assimilated to a confining potential that triggers an inherent non-local mechanism within the individual fabric. It is formalised by multiplying the wavefunction with a localising gaussian as in the GRW theory but in a deterministic manner.

A review of de Broglie particle–wave mechanical systems

2020 ◽  
Vol 25 (10) ◽  
pp. 1763-1777
Author(s):  
James M Hill
Keyword(s):  
Quantum Mechanics ◽  
Dark Energy ◽  
Special Relativity ◽  
Wave Energy ◽  
Particle Energy ◽  
De Broglie Wave ◽  
De Broglie Waves ◽  
Energy Formula ◽  
Work Done ◽  
Math Phys

The existence of the so-called ‘dark’ issues of mechanics implies that our present accounting for mass and energy is incorrect in terms of applicability on a cosmological scale, and the question arises as to where the difficulty might lie. The phenomenon of quantum entanglement indicates that systems of particles exist that individually display certain characteristics, while collectively the same characteristic is absent simply because it has cancelled out between individual particles. It may therefore be necessary to develop theoretical frameworks in which long-held conservation beliefs do not necessarily always apply. The present paper summarises the formulation described in earlier papers (Hill, JM. On the formal origin of dark energy. Z Angew Math Phys 2018; 69:133-145; Hill, JM. Some further comments on special relativity and dark energy. Z Angew Math Phys 2019; 70: 5–14; Hill, JM. Special relativity, de Broglie waves, dark energy and quantum mechanics. Z Angew Math Phys 2019; 70: 131–153.), which provides a framework that allows exceptions to the law that matter cannot be created or destroyed. In these papers, it is proposed that dark energy arises from conventional mechanical theory, neglecting the work done in the direction of time and consequently neglecting the de Broglie wave energy [Formula: see text]. These papers develop expressions for the de Broglie wave energy [Formula: see text] by making a distinction between particle energy [Formula: see text] and the total work done by the particle [Formula: see text], that which accumulates from both a spatial physical force [Formula: see text] and a force [Formula: see text] in the direction of time. In any experiment, either particles or de Broglie waves are reported, so that only one of [Formula: see text] or [Formula: see text] is physically measured, and particles appear for [Formula: see text] and de Broglie waves occur for [Formula: see text], but in either event both a measurable and an immeasurable energy exists. Conventional quantum mechanics operates under circumstances such that [Formula: see text] vanishes and [Formula: see text] becomes purely imaginary. If both [Formula: see text] and [Formula: see text] are generated as the gradient of a potential, the total particle energy is necessarily conserved in the conventional manner.

RELATIVITY AND THE SPEED OF LIGHT – A 100 YEAR OLD MISUNDERSTANDING

2006 ◽  
Vol 15 (02) ◽  
pp. 275-283 ◽  
Author(s):  
W. J. ŚWIATECKI
Keyword(s):  
Quantum Mechanics ◽  
Special Relativity ◽  
Thought Experiment ◽  
Minkowski Spacetime ◽  
Speed Of Light ◽  
The Past ◽  
Mistaken Belief

I point out a conceptual misunderstanding in the exposition of relativity, namely the mistaken belief that light has something to do with the essence of relativity. This misunderstanding can be clarified by stressing that the content of Special Relativity is simply that "we live in a Minkowski spacetime", together with a thought experiment that illustrates how one could discover this fact without ever mentioning even the existence of light. I also note a recently uncovered implication of living in Minkowski spacetime, namely the Copenhagen reinterpretation of Quantum Mechanics, developed in the past decade.

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