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 …

A generalized Schrödinger equation via a complex Lagrangian of electrodynamics

N Aldea, G Munteanu - Journal of Nonlinear Mathematical Physics, 2015 - Springer
In this paper we give a generalized form of the Schrödinger equation in the relativistic case,
which contains a generalization of the Klein-Gordon equation. By complex Legendre …

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 complex Finsler approach of gravity

G Munteanu, N Aldea - … Journal of Geometric Methods in Modern …, 2012 - World Scientific
In this paper our aim is mainly to obtain a two-dimensional complex Finsler model of the real
gravitation space-time. We prove that, at least in the special case of the weakly gravitational …

New candidates for a Hermitian approach of gravity

N Aldea, G Munteanu - … Journal of Geometric Methods in Modern …, 2013 - World Scientific
In this paper, some possible candidates for the study of gravity are proposed in terms of
complex Finsler geometry. These mainly concern the complex Hermitian versions of weakly …

[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 …

Tidal tensors in the description of gravity and electromagnetism

N Voicu - Journal of Nonlinear Mathematical Physics, 2012 - Springer
Abstract In 2008–2009, LFO Costa and CAR Herdeiro proposed a new gravito-
electromagnetic analogy, based on tidal tensors. We show that connections on the tangent …

On a new unified geometric description of gravity and electromagnetism

N Voicu - arXiv preprint arXiv:1111.5270, 2011 - arxiv.org
In a previous paper, we have introduced a new unified description of the main equations of
the gravitational and of the electromagnetic field, in terms of tidal tensors and connections …

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 …