Towards physical dynamic tolerance: an approach to resolve the conflict between free will and physical determinism

This paper attempts to resolve the conflict between free will and determinism. The problem is approached by demonstrating that: (a) some well-established experimental observations indicate that irreversibility persists at the molecular level, (b) microscopic reversibility is not fully compatible with macroscopic irreversibility, (c) an overall consistency can be maintained if microscopic reversibility is regarded only as an excellent approximation, whereas microscopic irreversibility together with chaos can account for macroscopic reversibility, and (d) endogenous noise serves a vital function of nerve excitation. Thus, the mean of position and momentum specified by a non-deterministic law of motion gives the law its superficially deterministic behavior and predictability, whereas its dispersion grants dynamic tolerance and irreversibility. Therefore, causality is preserved while a limited degree of freedom allows for the exercise of free will. However, it is argued that free will can never be proven or disproven by a conventional behavioral experiment.