<討議 (二) > (B) 山崎教授の疑問に答う : 力学における決定論とは何か ; 古典力学の隠された変数

Abstract

Principles in the mechanics are appearently deterministic. The author previously reported that the deterministic character of the mechanics comes from observations on the ensemble close to the isolated system in which every process is reversible. This mechanical ensemble can be studied by means of the thermodynamics. lt is shown that the entropy production rates in the reversible mechanical processes are minimum or zero, corres ponding to the stationary oy the equilibrium state in thermodynamics, respeetively. The thermodynamics of non-linear non-equilibrium shows that a bifurcation point occurs in the state with high entropy production. Sttch a system with bifurcation is non-deterministic. The entropy production rate, σ, is the hidden parameter in the mechanics. Any process in our universe is irreversible and has many bifurcation points. On the bifurcation points, no deterministic mechanics can be applied. The mechanics of determinism is an approximation on the small isolated part with the low entropy production rate, σ, inside the universe which has the great velocity of entropy production. The living organism, human being and consciousness are examples of non-determinism ln the non-deterministic universe. Einstein and some other physicists failed to find the hidden parameter in quantum mechanics that provides the deterministic interpretation in a microscopic area inside the Planck constant. ln this paper, it is shown that the hidden parameter, σ, is found in the classical mechanics providing the determinism.