scholarly journals The Incompleteness of Quantum Mechanics Demonstrated by Considerations of Relativistic Kinetic Energy

2020 ◽  
Vol 08 (02) ◽  
pp. 210-217
Author(s):  
Koshun Suto
Keyword(s):  
Quantum Mechanics ◽  
Kinetic Energy ◽  
Relativistic Kinetic Energy

scholarly journals Relativistic mass due to a dilatant vacuum leads to a quantum reformulation of the relativistic kinetic energy

2020 ◽  
Vol 98 (2) ◽  
pp. 142-147
Author(s):  
Marco Fedi
Keyword(s):  
Kinetic Energy ◽  
Higgs Field ◽  
Lorentz Factor ◽  
Viscous Force ◽  
Dark Sector ◽  
Potential Term ◽  
Relativistic Mass ◽  
Planetary Orbits ◽  
Quantum Mechanism ◽  
Relativistic Kinetic Energy

Relativistic mass change with speed is considered here as the effect of a viscous, dilatant vacuum, whose apparent viscosity is related to the Lorentz factor. Transient solid-like vacuum due to shear stress is presented as the reason why vacuum prevents the speed of massive objects from being indefinitely increased. Such a vacuum – that in a previous study allowed to exactly calculate the Pioneer anomaly, Mercury’s perihelion precession, and was shown to be compatible with stable planetary orbits – leads here to a quantum formula for the relativistic kinetic energy. A formula which distinguishes between the case of accelerated charges in a vacuum, for which a Stokes–Einstein radius comes into play, and the case of accelerated macroscopic bodies, for which the quantum potential term vanishes. In this way, incidentally, one obtains again correct results for the Pioneer 10, confirming the role of vacuum’s viscous force. This description of a quantum mechanism underlying the relativistic kinetic energy may be also helpful in constructing a theory of quantum relativity and may even tell us more about the interactions of matter with the Higgs field and the dark sector: two issues which can be themselves linked to a dilatant vacuum.

scholarly journals KINETIC ENERGY DRIVEN SUPERCONDUCTIVITY AND SUPERFLUIDITY

2011 ◽  
Vol 25 (29) ◽  
pp. 2219-2237 ◽  
Author(s):  
J. E. HIRSCH
Keyword(s):  
Thermal Expansion ◽  
Quantum Mechanics ◽  
Kinetic Energy ◽  
Superfluid Helium ◽  
Negative Charge ◽  
Negative Thermal Expansion ◽  
Zero Point ◽  
Meissner Effect ◽  
Helium 4 ◽  
Λ Point

The theory of hole superconductivity proposes that superconductivity is driven by lowering of quantum kinetic energy and is associated with expansion of electronic orbits and expulsion of negative charge from the interior to the surface of superconductors and beyond. This physics provides a dynamical explanation of the Meissner effect. Here we propose that similar physics takes place in superfluid helium 4. Experimental manifestations of this physics in 4 He are the negative thermal expansion of 4 He below the λ point and the "Onnes effect", the fact that superfluid helium will creep up the walls of the container and escape to the exterior. The Onnes effect and the Meissner effect are proposed to originate in macroscopic zero point rotational motion of the superfluids. It is proposed that this physics indicates a fundamental inadequacy of conventional quantum mechanics.

scholarly journals KINETIC ENERGY DRIVEN SUPERCONDUCTIVITY, THE ORIGIN OF THE MEISSNER EFFECT, AND THE REDUCTIONIST FRONTIER

2011 ◽  
Vol 25 (09) ◽  
pp. 1173-1200 ◽  
Author(s):  
J. E. HIRSCH
Keyword(s):  
Quantum Mechanics ◽  
Kinetic Energy ◽  
Ground State ◽  
Spin Current ◽  
Fundamental Property ◽  
Zero Point ◽  
Meissner Effect ◽  
Bcs Theory ◽  
Energy Lowering ◽  
Field Lines

Is superconductivity associated with a lowering or an increase of the kinetic energy of the charge carriers? Conventional BCS theory predicts that the kinetic energy of carriers increases in the transition from the normal to the superconducting state. However, substantial experimental evidence obtained in recent years indicates that in at least some superconductors the opposite occurs. Motivated in part by these experiments many novel mechanisms of superconductivity have recently been proposed where the transition to superconductivity is associated with a lowering of the kinetic energy of the carriers. However none of these proposed unconventional mechanisms explores the fundamental reason for kinetic energy lowering nor its wider implications. Here I propose that kinetic energy lowering is at the root of the Meissner effect, the most fundamental property of superconductors. The physics can be understood at the level of a single electron atom: kinetic energy lowering and enhanced diamagnetic susceptibility are intimately connected. We propose that this connection extends to superconductors because they are, in a very real sense, "giant atoms". According to the theory of hole superconductivity, superconductors expel negative charge from their interior driven by kinetic energy lowering and in the process expel any magnetic field lines present in their interior. Associated with this we predict the existence of a macroscopic electric field in the interior of superconductors and the existence of macroscopic quantum zero-point motion in the form of a spin current in the ground state of superconductors (spin Meissner effect). In turn, the understanding of the role of kinetic energy lowering in superconductivity suggests a new way to understand the fundamental origin of kinetic energy lowering in quantum mechanics quite generally. This provides a new understanding of "quantum pressure", the stability of matter and the origin of fermion anticommutation relations, it leads to the prediction that spin currents exist in the ground state of aromatic ring molecules, and that the electron wavefunction is double-valued, requiring a reformulation of conventional quantum mechanics.

scholarly journals Direct Relativistic Extension of the Madelung-de-Broglie-Bohm Reformulations of Quantum Mechanics and Quantum Hydrodynamics

2021 ◽  
Author(s):  
Arquimedes Ruiz-Columbié ◽  
Luis Grave de Peralta
Keyword(s):  
Quantum Mechanics ◽  
Kinetic Energy ◽  
Relativistic Quantum ◽  
Free Particle ◽  
Linear Momentum ◽  
Relativistic Quantum Mechanics ◽  
Quantum Hydrodynamics ◽  
Relativistic Extension ◽  
Basic Equations ◽  
De Broglie Bohm

Abstract Using a Schrödinger-like equation, which describes a particle with mass and spin-0 and with the correct relativistic relation between its linear momentum and kinetic energy, the basic equations of the non-relativistic quantum mechanics with trajectories and quantum hydrodynamics are extended to the relativistic domain. Some simple but instructive free particle examples are discussed.

scholarly journals Chern–Simons quantum mechanics and fractional angular momentum in atom system

2020 ◽  
Vol 35 (22) ◽  
pp. 2050122
Author(s):  
Yao-Yao Ma ◽  
Qiu-Yue Zhang ◽  
Qing Wang ◽  
Jian Jing
Keyword(s):  
Quantum Mechanics ◽  
Dipole Moment ◽  
Angular Momentum ◽  
Kinetic Energy ◽  
Energy Spectra ◽  
Reduced Model ◽  
Full Model ◽  
Specific Setting ◽  
Chern Simons ◽  
Atom System

The model of a planar atom which possesses a nonvanishing electric dipole moment interacting with magnetic fields in a specific setting is studied. Energy spectra of this model and its reduced model, which is the limit of cooling down the atom to the negligible kinetic energy, are solved exactly. We show that energy spectra of the reduced model cannot be obtained directly from the full ones by taking the same limit. In order to get the energy spectra of the reduced model from the full model, we must regularize energy spectra of the full model properly when the limit of the negligible kinetic energy is taken. It is one of the characteristics of the Chern–Simons quantum mechanics. Besides this, the canonical angular momentum of the reduced model will take fractional values although the full model can only take integers. It means that it is possible to realize the Chern–Simons quantum mechanics and fractional angular momentum simultaneously by this model.

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