Quantum Physics

On the Quantum Description of Inertia

Authors: Farid Abrari
Comments: 11 Pages. This paper builds on the combined theory of Special Relativity and Quantum Mechanics: https://viXra.org/abs/2106.0167

By extending the Gaussian gravitational flux theory, it is shown that the inertia of an accelerating object is proportional to the flux of its positional uncertainty in space. The constant of proportionality is found to be c/A where  is the density of the object, c is the speed of light and A is the diameter of the smallest possible black hole in nature - itself another constant of nature. In the case of a rectilinear acceleration, the proposed quantum formulation leads to F_I= -Ma. In the case of a rotational acceleration, the formulation leads to the rotational inertia T_I =-I dΩ/dt; both cases consistent with the predictions of the classical mechanics. In the case of a disc spinning under a constant rotational velocity Ω, the inertia resulting from the centripetal uncertainty of its constituents is found to reduce to T_I = -2/3 M R Ω^2, again identical to that of the classical mechanics. The latter, however, is found to be an underestimation of the actual quantum-relativistic solution wherein RΩ is non-negligible compared to c.
Category: Quantum Physics

Matter is the Representation of Space-Time

Authors: Xiaohan Deng, Zhiyong Deng
Comments: 27 Pages.

The continuous flowing spacetime forms a spacetime group G, one of its fundamental groups is the Poincare group PO(1,3), and the matter and interaction fields are representations of its intrinsic spacetime group. As a kind of quantized space-time unit, space-time group elements generate both space-time manifolds and matter. Matter and fields are aggregates of the quantum space-time within them and determine their type: the Lorentz group SO(1,3) represents a rotating spacetime corresponding to visible matter and the translation group P1,3 represents a translational spacetime corresponding to dark matter and dark energy. The aggregation mode of space-time degrees of freedom in matter reveals that charge conjugation symmetry is the inverse symmetry of internal time of charged particles, and the external parity breaking of neutrinos is also due to their internal spatial aggregation mode.
Category: Quantum Physics

Mathematical Formula of the Pauli Exclusion Principle

Authors: Huaiyang Cui
Comments: 10 Pages.

By studying the phase change of relativistic matter wave in the process of electron collision, the interaction formula of strongly correlated electron system is derived, a mathematical formula of the Pauli exclusion principle is proposed, its validity in superconductor is checked. The predicted superconducting gap is in good agreement with the experimental results of 21 typical superconductors. In addition, the interaction formula clearly shows that at very low temperature, the collision between some electrons and lattice will become neither energy gain nor energy loss, which provides a new insight for the study of superconductivity mechanism.
Category: Quantum Physics

Hierarchies of Pertubation Theories as Post-Hartree-Fock and Post-Kohn-Sham Shemes and a Jacob’s Ladder for Pauli Kinetic Energy Density Functional Approximations

Authors: Leon Walter Redeker, Maximilian Bechtel
Comments: 4 Pages.

A hierarchy and comparison of pertubation theories (PT) as Møller-Plesset (MP) pertubation theory, pertubation theory along the adiabatic-connection (AC) such as Görling-Levy pertubation theory (GLPT) and the Pertubation theory along the Pauli contribution by Redeker is presented with a classification as post-Hartree-Fock (HF) and post-Kohn-Sham (KS) method relative to their fundamental framework. Lastly a Jacob’s Ladder is given for approximating the Pauli kinetic energy density functional (KEDF).
Category: Quantum Physics

The [Plausible] Weird Mistake in Planck's Law

Authors: Patrick Marc
Comments: 11 Pages. Licence CC BY 4.0

By examining Planck's equation E=hν, one finds an analogy with accounting billing forelectricity. Frequency and power have a physical dimension T-¹, so one obtains an energyvalue accounted for over a time interval by multiplying them by this time interval. Byinvestigating this analogy, one finds a surprising mistake in Planck's law for the frequency of black body radiation: confusion between two contexts, one for radiation power and one for a timeless energy density. One goes from one to the other by an accounting-typetransformation: A multiplication by 4π/c or c/4π. Correcting this mistake makes a Planckconstant h timeless, invalidating the photon definition and de Broglie’s wave-particle duality. Despite this mistake, one obtains the same value for the black body radiation; it goesunnoticed. Consequently, the Planck relation becomes P=hν, with the energy of a cycle equal to h, whatever the frequency. One can consider this cycle as a new photon, which behaves like aparticle by its radiation pressure. Its energy-mass equivalence h=mɣc² gives a mass of4.134883524·10-¹u2075 eV, in the range referenced by the Particle Data Group. This correction ofPlanck's relation calls quantum physics into question.
Category: Quantum Physics

Rayleigh-Schroedinger Pertubation Theory Sheme Along the Pauli Contribution

Authors: Leon Walter Redeker
Comments: 6 Pages.

A new Rayleigh-Schrödinger pertubation theory (RSPT) sheme along the Pauli (P) contribution is presented, with the unpertubated system being the artificial Kohn-Sham (KS) system of noninteracting fermions, which is linked to the real system of interacting fermions via the Hohenberg-Kohn theorem, with �� = 0, i.e. no Pauli contribution, is scaled up by the coupling strength 0 ≤ �� ≤ 1 to a fictitious system, with �� = 1, i.e. full Pauli contribution, the pertubated system of noninteracting bosons given by the Levy-Perdew-Sahni (LPS) equation. This formalism to introduced in order to give a pathway for constructing novel Kinetic energy density functionals (KEDF) for the Pauli kinetic energy as an (generalized) adiabatic-connection-like (GAC) theorem similar as to for onstructing KS correlation functionals with the adiabatic-connection fluctuation-dissipation (ACFD) theorem or as been done in Görling-Levy pertubation theory (GLPT).
Category: Quantum Physics

The Building Block of Quantized Dirac Field

Authors: Jouni Puuronen
Comments: 23 Pages.

I explain how to quantize a two dimensional constrained system that functions as the building block of Dirac field. The key idea is that the constrained system is transformed into a nonconstrained one with a small regularizing term.
Category: Quantum Physics

Selected Solved Problems On Quantum Mechanics, Solid State Physics and Computational Physics

Authors: Yunfeng Zhu
Comments: 16 Pages.

The author had selected and worked out these problems by himself. These problems mainly focus on quantum mechanics, solid state physics and computational physics. It can be regarded as a reference for the graduate students, especially those students in condensed matter physics.
Category: Quantum Physics

Gravity Subtitle: the Merger of Qantum and Classical-Physics

Authors: A.V. Herrebrugh
Comments: 22 Pages. Version update; minor clarifications, extended conclusions, addition prologue

In this 3rd paper of a triptych in quantum theory, a mathematical description ab initio of gravitational field theory is presented. In this reconciliation description, quantum physics and classical general relativity (GR) merge seamlessly — instead of deviations from general relativity, the treatment results in identical (photon and massive Higgs boson coupled energy) trajectory curvatures in gravitational fields, however with 3 deviating conclusions regarding (naked) singularities, spacetime-curvature and graviton i.e. deviating from predicted by the Einstein tensor metrics of GR. The fundamental gravitation-potential treatment of the field description is developed in the complex Hilbert space. The gravity field then is mathematically identified by the causal relation between two vector-fields in convolution and emerges as scalar field, evolving pre-determined in space from the moment of mass creation i.e. the symmetry breaking. The gravitational field-theory eventually evolves in spacetime curvature, emerging as geodesic-trajectory curvature by energy objects in the spatial field of a gravitation source. In the field, the trajectories of objects are being determined only by the principle of least action (LaGrange, Feynman).
Category: Quantum Physics

Fine-Structure Constant and 5-D Space

Authors: Rustam Islamov
Comments: 5 Pages.

Conductivity quantization and 5-D thermal field theory for bosons in odd dimensions are employed. A relationship between thermal mass and the fine-structure constant was derived. The calculations demonstrated that the numerical value of the fine-structure constant obtained for the dimension d=5 aligns with the experimental value of the fine-structure constant. This could imply that weak interactions occur in a five-dimensional space.
Category: Quantum Physics

Optical Fourier Transform with Direct Phase Measurement as a Computational Method

Authors: Aleksey A. Demidov
Comments: 7 Pages. In Russian

In the context of computational methods, an experiment on the optical Fourier transform with direct phase measurement (Nature 2017) is analyzed, a correct assessment of its actual computational complexity is made, taking into account interference that exceeds the capabilities of computational methods, and an experiment technique for direct measurement of computational complexity is presented.

В контексте вычислительных методов разбирается эксперимент по оптическому преобразованию Фурье с прямым измерением фазы (Nature 2017), производится корректная оценка его действительной вычислительной сложности с учётом помех, превосходящей возможности вычислительных методов, приводится методика эксперимента по прямому измерению вычислительной сложности.
Category: Quantum Physics