Akronos Publishing Concord, ON, Canada www.aetherometry.com

The Zeroth Law of Thermodynamics and the 2-Body Problem of Thermal Equilibrium

by Correa, Paulo N.; Correa, Alexandra N.; Askanas, Malgosia

Published in October 2024.     81 pages.

Aetherometric Theory of Synchronicity, Vol. 6

Monograph AS3-VI.4

Price:   US $25

ABSTRACT The Zeroth Law is not about relations between numbers, like numerical equalities, but between states of physical substances; and it is only needed if the notion of thermal equilibrium is axiomatically taken as being primary with respect to temperature. Accordingly, the authors first seek the conditions under which thermal equilibrium occurs by exploring different facets of the 2-body problem, while contrasting the conventional treatment of entropy with the aetherometric two-headed treatment of distinct entropies of state and heat flow. They find that, in all cases, determination of the final common temperature of the system is the critical parameter that permits definition of thermal equilibrium. Ultimately, this determination is extrinsic to the system and reduces to the temperature of the environment. But this does not abrogate the existence of intrinsic energy-based determinations of the equilibrium temperature whose function is demonstrated using a fluid-based physical treatment of the 2-body problem and without taking recourse to the fiction of an isolated system. This leads to the conclusion that the Zeroth Law has no role within Aetherometry, since the aetherometric concept of thermal equilibrium is based on a numerical relationship between photon energies, and is therefore ipso facto transitive. Two bodies are in thermal equilibrium when their molal electromagnetic heats of state are identical, irrespective of whether their molal thermokinetic heats of state are the same or different. This does not imply that the heat contents of the two bodies will be identical. It only requires that the primary (modal) photons of state in both substances have the same quantum energy. Accordingly, in Aetherometry, temperature does not need to have its existence axiomatically postulated.