No mysterious motor driving time forward -Multiple paths of randomness toward time irreversibility

Qiuping A. Wang (1, 2)

1 IMMM - Institut des Molécules et Matériaux du Mans
2 ESIEA - Ecole Supérieure d'Informatique Electronique Automatique [Paris]

The objective of this work is to provide a mathematical proof of time irreversibility on the ground of indeterministic motion. The starting point of this approach is the formulation of a mathematical definition of time implementing a widely accepted old idea associating time with movement or change, establishing a univocal link between time and trajectory of motion. Then time irreversibility emerges inevitably from the multiplicity of paths of indeterministic and unpredictable random dynamics. A measure of time irreversibility is proposed to characterize the time arrow pointing in the direction of increasing dynamic randomness and path uncertainty.

Mots clés: Time; space; irreversibility; entropy; random dynamics; path probability; information

Domaines: Mécanique statistique [cond-mat.stat-mech]; Physique Classique [physics.class-ph]

Qiuping A. Wang. No mysterious motor driving time forward -Multiple paths of randomness toward time irreversibility. 2021. ⟨hal-03354947v1⟩