Quaternion/vector dual space algebras applied to the Dirac equation and its extensions

G Darvas - Bulletin of the Transilvania University of Brasov. Series …, 2015 - webbut.unitbv.ro
The paper re-applies the 64-part algebra discussed by P. Rowlands in a series of (FERT
and other) papers in recent years. It demonstrates that the original introduction of the α …

Algebra of hypersymmetry (extended version) applied to state transformations in strongly relativistic interactions illustrated on an extended form of the Dirac equation

G Darvas - arXiv preprint arXiv:1809.05396, 2018 - arxiv.org
There are several 3+ 1 parameter quantities in physics (like vector+ scalar potentials, 4-
currents, space-time, 4-momentum). In most cases (but space-time), the 3-and the 1 …

A NOVEL APPROACH TO SCHRÖDINGER'S WAVE EQUATION: UTILIZING METRIC TENSOR IN SPHERICAL COORDINATES

VO Obaje, DJ Koffa, GG Nyam… - FUDMA JOURNAL …, 2024 - fjs.fudutsinma.edu.ng
In quantum mechanics, the Schrödinger equation is fundamental for describing particle
wave functions, traditionally within flat spacetime, ignoring gravitational effects. This paper …

[PDF][PDF] Hypersymmetry

G Darvas - 2021 - researchgate.net
3.1 Distinction between electric charges 31 3.2 Sources of the electromagnetic field 34 3.3
Equivalence principle for electric charges 36 3.4 Transformation of the two types of …

Also of interest

IO Cherednikov, T Mertens, F Van der Veken… - degruyter.com
We know from EP Wigner (1960) that physical theories are overdetermined in mathematical
terms. This means, more mathematically correct theories can be formulated while only one is …

[PDF][PDF] Algebra of hypersymmetry

G Darvas - academia.edu
There are several 3+ 1 parameter quantities in physics (like vector+ scalar potentials, four-
currents, space-time, four-momentum,…). In most cases (but space-time), the three-and the …

[PDF][PDF] The algebra of state transformations in strongly relativistic interactions

G Darvas - 2017 - researchgate.net
The first part of the paper presents an algebra (τ), which may describe the transformation
matrices of an invariance group governing physical conservations that can be described by …

[图书][B] Hypersymmetry: Physics of the Isotopic Field-Charge Spin Conservation

G Darvas - 2020 - books.google.com
The book describes how field-charges, split into isotopic pairs, can commute and identifies
the group of transformations that governs this exchange between their states. Invariance …

[引用][C] Quaternion/vector dual space algebras applied to the Dirac equation and its extensions