Quantum Physics

Hidden Variables Foundation of Matrix Mechanics

Authors: Fosco Ruzzene
Comments: 36 Pages.

A preliminary hidden variables matrix mechanics treatment of the harmonic oscillator has been previously presented based on classical endogenous periodic motion. This work extends to incorporating the model into the mathematics of matrix mechanics. Although initially motivated by EPR-Bell analysis, the proposed model is based on re-examining the physical assumptions of Heisenberg and Born. All assumptions are maintained except for Bohr’s state-to-state instantaneous transition which has been experimentally invalidated, and Heisenberg’s non-path postulate which is replaced by classical endogenous periodic paths. Matrix elements of standard matrix mechanics are modified to replace transition amplitudes by transition paths. The redefined elements generate eigenvalues- eigenstates which then characterise eigenpaths. Since the endogenous motion averages out over a cycle it is unseen by the wave function. Nevertheless, mathematical equivalence with position and momentum non-commutation in Schrodinger operators is preserved. The modified matrix mechanics is shown to be mathematically equivalent to that of Born-Jordan reproducing all standard results. Generic quantum equations of motion are obtained following the quantization procedures of Born-Jordan and Dirac’s Poisson Bracket equation. These new relations meet the benchmark criteria of reproducing conservation of energy and the quantum frequency condition. Sincethe endogenous paths are ontologically classical no radical metaphysical interpretations are needed for spatial-temporal movement. Quantum randomnessis not explained by the proposed model but is attributed to endogenous structures of quantum matter.
Category: Quantum Physics

Quantum Corrections to the Alfven Waves in the Tokamak and Iter Plasma

Authors: Miroslav Pardy
Comments: 10 Pages. original article

The hydrodynamical model of quantum mechanics based on the Schroedingerequation is combined with the magnetohydrodynamical term to form so calledquantum magnetohydrodynamic equation. It is shown that the quantum correctionto the Alfven waves follows from this new equation. The possible generalization isconsidered for the so called nonlinear Schroedinger equation and for the situationwhere dissipation is described by the Navier-Stokes equation.
Category: Quantum Physics

The Tomonaga-Schwinger Equation in flat Space-Time

Authors: John French
Comments: 10 Pages. This paper has been published in Physics Essays.

A derivation of the Tomonaga-Schwinger equation is presented based on defining a wave functional on a general space-like surface such that the expectation values match those in the corresponding Heisenberg picture. This derivation is carried out in flat space-time.
Category: Quantum Physics

Black Hole Entropy Leads to a Quantized Space-Time

Authors: Eran Sinbar
Comments: 3 Pages.

Based on Prof. Bekenstein and Prof. Hawking, the black hole maximal entropy, the maximum amount of information that a black hole can conceal, beyond its event horizon, is proportional to the area of its event horizon surface divided by quantized area units, in the scale of Planck area (the square of Planck length). This is a surprising result since it limits the amount of information bits in a volume of space to the amount of Planck area units that can fit into its surrounding surface area. Taking this information limit from the event horizon of a black hole to the event horizon of a sphere in the size of Planck length in each of its three dimensions, will open up a new approach to our space -time structure.
Category: Quantum Physics

The Radius of the Electron and the Mass of Compound Particles Like the Proton and Neutron (in Russian)

Authors: Bezverkhniy Volodymyr Dmytrovych
Comments: 6 Pages.

Taking into account the point structure of elementary particles as well as corpuscular-wave dualism, it is shown that the radius of an electron, like that of any elementary particle, is strictly equal to zero. Therefore, the experimental fixation of the radius of any particle indicates that the particle is not elementary. The mechanism of creating a mass of compound particles similar to the proton and neutron is also considered due to the relativistic increase in the energy of elementary particles that make up the corresponding system.

Учитывая точечную структуру элементарных частиц а также корпускулярно-волновой дуализм показано, что радиус электрона как и любой элементарной частицы, строго равен нулю. Следовательно, экспериментальная фиксация радиуса любой частицы свидетельствует о неэлементарности частицы. Также рассмотрен механизм создания массы составных частиц подобных протону и нейтрону за счет релятивистского увеличения энергии элементарных частиц составляющих соответствующую систему.
Category: Quantum Physics

The Radius of the Electron and the Mass of Compound Particles Like the Proton and Neutron

Authors: Bezverkhniy Volodymyr Dmytrovych
Comments: 6 Pages.

Taking into account the point structure of elementary particles as well as corpuscular-wave dualism, it is shown that the radius of an electron, like that of any elementary particle, is strictly equal to zero. Therefore, the experimental fixation of the radius of any particle indicates that the particle is not elementary. The mechanism of creating a mass of compound particles similar to the proton and neutron is also considered due to the relativistic increase in the energy of elementary particles that make up the corresponding system.
Category: Quantum Physics

Comparison of Two Electromagnetic Quantization Methods

Authors: John French
Comments: 15 Pages. This paper has been published in Physics Essays.

This paper is a comparison of two different canonical quantization methods of the electromagnetic field, one commonly used, and the other similar to one by Kroll. Both quantization methods will be carried out in the Schrodinger representation.
Category: Quantum Physics

On Relativity, Quantisation, Symmetry and Perspective

Authors: Gerard van der Ham
Comments: 2 Pages.

A reflection on the difference between translation and rotation shows the symmetry between the Relativity Theory and the Quantum Theory. The reflection is realistic not scientific.
Category: Quantum Physics

On The Current Physics Crises and The Hierarchy Problem

Authors: Lucian M. Ionescu
Comments: 9 Pages.

The crises in fundamental physics is by now openly reported and acknowledged. The new paradigm, based on the Network Model, quark field of baryons and mesonic nuclear bonds, proposes a reinterpretation of the Standard Model and fundamental experiments in quantum physics, that claims to resolve major debates, including the Hierarchy Problem. Recall that the Electro-Gravity Magneto-Dynamics is the theory of the long range component of the quark field, which is yet missed by, for instance Yukawa potential, color QCD or chiral Effective Field Theory. The short range component described by the nuclear effective potential of chiral Effective Field Theory is consistent with Yukawa's meson model of nuclear forces, unified by the above approach. The experiments verifying this model of Gravity are recalled: F. Alzofon and D. Sarkadi. Is there a relation between the two? Further confirmations of the new Theory of Gravity come from of Podkletnov and Ning Li's research and experiments. The new paradigm is claimed to be consistent with the already existing Standard Model, with its accurate predictions but containing historical miss-interpretations, proposing a change in our point of view and goals.
Category: Quantum Physics

Improving ML Algorithmic Time Complexity Using Quantum Infrastructure

Authors: Aayush Grover
Comments: 14 pages, 3 figures

With the rising popularity of machine learning in the past decade, a stronger urgency has been placed on drastically improving computational technology. Despite recent advancements in this industry, the speed at which our technologies can complete machine learning tasks continues to be its most significant bottleneck. Modern machine learning algorithms are notorious for requiring a substantial amount of computational power. As the demand for computational power increases, so does the demand for new ways to improve the speed of these algorithms. Machine learning researchers have turned to leverage quantum computation to significantly improve their algorithms' time complexities. This counteracts the physical limitations that come with the chips used in our technology today. This paper questions current classical machine learning practices by comparing them to their quantum alternatives and addressing the applications and limitations of this new approach.
Category: Quantum Physics

Exploration of a Theory of Everything

Authors: Henok Tadesse
Comments: 21 Pages.

This paper reveals a hint to the deepest mystery of the universe. Why are the laws of the universe the way they are ? For example, why are the mass and charge of the electron what they are? The laws and phenomena of the universe were predetermined by the initial fine-tuning of the internal dynamics of every elementary particle in the universe, at the beginning of the universe.
Category: Quantum Physics

Where Are the "Hidden Variables" Hidden?

Authors: Andrzej Okniński
Comments: 2 Pages.

We aim to find a place where hypothetical hidden variables of quantum mechanics might be accommodated. We consider the possibility that hidden variables belong to the Calabi-Yau manifold, the space of six extra dimensions, appearing in the superstring theory.
Category: Quantum Physics

The Double Split Experiment

Authors: Lucian M. Ionescu
Comments: 7 Pages.

The 2-slit experiment is explained by using the Network Model, which then transfers to other experiments: entanglement, delayed choice and quantum erasure etc.In essence, De Broglie pilot wave, on a Feynman path are aspects of a fermionic quantum channel transmitting bosonic excitations between tho nodes of the quantum network formed as part of the experiment. This model is called the Network Model.An essential feature of the Network Model is that it evolves in transient-steady state cycles, akin to machine learning: The Living Universe.Other considerations involving Space-Time, antimatter, Heisenberg uncertainty relations, fermion-boson unification etc., are included.
Category: Quantum Physics

Nonrelativistic Quantum Electrodynamics of Extended Spinning Charges

Authors: John French
Comments: 23 Pages. This paper has been published in Physics Essays.

A non-relativistic QED equation is developed for extended spinning charges in the Schrodinger picture. It is based on the corresponding classical electromagnetic - particle system, and the Hamiltonian associated with it.
Category: Quantum Physics