Hypercomplex Thermodynamics. The invariance of Entropy

In classical thermodynamics, the second law of thermodynamics was formulated, introducing theconcept of entropy. Entropy measures the degree of disorder in a given thermodynamic system.In this paper, we will analyze thermodynamic systems in the hyperdimensions of numbers usingCayley-Dickson algebra and observe the behavior of entropy in such systems. We will derive ageneral formula for entropy for any numerical dimensions. Furthermore, a hypercomplex variable describing the entire thermodynamic system will be defined, and the general formula for thisvariable will be introduced; the internal energy of the system will be considered as the real part ofthe variable. A new theory of entropy will also be proposed through its invariance and the SecondLaw of Hypercomplex Thermodynamics will be formulated, using the First Law of Classical Thermodynamics, while taking into account the properties lost as a result of the increase in dimensions.Thus, a complex analysis of the behavior of entropy will be proposed.