An exterior-algebraic derivation of the symmetric stress–energy–momentum tensor in flat space–time

A Martinez, J Font-Segura, I Colombaro - The European Physical Journal …, 2021 - Springer
This paper characterizes the symmetric rank-2 stress–energy–momentum tensor associated
with fields whose Lagrangian densities are expressed as the dot product of two multivector …

An exterior algebraic derivation of the Euler–Lagrange equations from the principle of stationary action

I Colombaro, J Font-Segura, A Martinez - Mathematics, 2021 - mdpi.com
In this paper, we review two related aspects of field theory: the modeling of the fields by
means of exterior algebra and calculus, and the derivation of the field dynamics, ie, the Euler …

Automatic differentiation of uncertainties: an interval computational differentiation for first and higher derivatives with implementation

H Dawood, N Megahed - PeerJ Computer Science, 2023 - peerj.com
Acquiring reliable knowledge amidst uncertainty is a topical issue of modern science.
Interval mathematics has proved to be of central importance in co** with uncertainty and …

Time-like definition of quaternions in exterior algebra

I Colombaro - Ricerche di matematica, 2024 - Springer
A formal description of quaternions by means of exterior calculus is presented. Considering
a three-dimensional space-time characterized by three time-like coordinates, we have been …

On the angular momentum and spin of generalized electromagnetic field for r-vectors in (kn) space-time dimensions

A Martinez, I Colombaro, J Font-Segura - The European Physical Journal …, 2021 - Springer
This paper studies the relativistic angular momentum for the generalized electromagnetic
field, described by r-vectors in (k, n) space-time dimensions, with exterior-algebraic …

Derivation of the symmetric stress-energy-momentum tensor in exterior algebra

I Colombaro, J Font-Segura… - Journal of Physics …, 2021 - iopscience.iop.org
We present a derivation of a manifestly symmetric form of the stress-energy-momentum
using the mathematical tools of exterior algebra and exterior calculus, bypassing the …

[PDF][PDF] Conformal electromagnetic wave propagation using primal mimetic finite elements

T Reum - 2022 - db-thueringen.de
Electromagnetic wave propagation provides the physical basis for countless applications in
various subjects of today's world. In order to model spatial scenarios, the continuous space …