Unifying Aspects of Generalized Calculus
Marek Czachor
TL;DR
This paper introduces a highly general non-Newtonian calculus framework that unifies diverse concepts in generalized thermostatistics and quantum information theory, highlighting its simplicity and vast potential.
Contribution
It presents a unified formalism of non-Newtonian calculus that connects various ideas in generalized thermostatistics and quantum information theory.
Findings
Unifies concepts in thermostatistics and quantum information theory
Highlights the simplicity and generality of the formalism
Suggests significant theoretical potential of the calculus
Abstract
Non-Newtonian calculus naturally unifies various ideas that have occurred over the years in the field of generalized thermostatistics, or in the borderland between classical and quantum information theory. The formalism, being very general, is as simple as the calculus we know from undergraduate courses of mathematics. Its theoretical potential is huge, and yet it remains unknown or unappreciated.
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