Generation and propagation of a q-deformed type of $d^N\neq0$ curvature

TL;DR

This paper introduces a q-deformed curvature concept using q-calculus, linking it to physical interpretations through Bianchi identities and physical currents, expanding the mathematical framework with potential physical applications.

Contribution

It proposes a new q-deformed curvature expression and a method to interpret q-parameters physically via Bianchi identities and currents, extending previous mathematical formulations.

Findings

Derived a q-deformed curvature expression

Linked q-parameters to physical meaning

Suggested a physical interpretation for $d^N eq 0$ condition

Abstract

We present an expression for curvature with q-deformed calculus such as considered in \cite{d-k,b-b-k,f-m-r-s-w}. By exploiting the persistence of Bianchi's second identity, we suggest a way to attach physical meaning to the $q$ parameters and $d^N\neq 0$ condition by introducing a physical current, an example of which may be obtained by a procedure outlined in \cite{akofor}.