Measurable Quantities in Quantum Theory and Thermodynamics and Some Their Applications

Abstract

In thermodynamics, based on the minimal inverse temperature and maximal internal energy, the measurability and measurable quantities notions are introduced in analogy with the corresponding notions introduced previously on the basis of a minimal length in a quantum theory. It is demonstrated that measurability in thermodynamics is completely consistent with measurability in a quantum theory. In terms of measurable quantities, the principal characteristics of the gravitational thermodynamics of black holes are calculated. It is shown that the Information Paradox Problem (IPP) for black holes considered in terms of measurable quantities should be reformulated.