Non-commutative space mathematics is a burgeoning field of study that has found solid proof of validity in nature, specifically in quantum systems. We analyse the application of fundamental non-commutativity to the theory of chemical equilibrium in reactions in this study, which has limited phenomenological significance. To do so, we assume that time is inherently discrete, and that time values are measured in integer multiples of a time quantum, or chronon. Two non-commutative maps are constructed by integrating chemical ordinary differential equations (ODE) over the latter. The first map shows that, in first-order reversible schemes, orbits deploy within a rich collection of non-equilibrium statistics, some of which have support matching the Cantor triadic set, a feature never reported for the Poisson process alone. The second map shows that, in first-order reversible schemes, orbits deploy within a rich collection of non-equilibrium statistics, some of which have support matching the Cantor triadic set, a feature never reported This research highlights the necessity for noncommutativity-dependent characteristics to be added to the present chemical reaction theory.
Author(s) Details:
Jérôme Chauvet,
JC Consultancy Practice, Conception Technologique & Valorisation des
Savoirs, France.
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