2016/12/30 by Mei-Hui Teh, Teh, Mei-Hui, Laurent Nottale +3
Earth and Planetary Sciences · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Earth Systems and Cosmic Evolution #FOS: Physical sciences #General Physics (physics.gen-ph) #Quantum Mechanics and Applications
paper · pdf · doi:10.48550/arxiv.1701.00530
openalex publication_date 2016/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This article is the second in a series of two presenting the Scale\nRelativistic approach to non-differentiability in mechanics and its relation to\nquantum mechanics. Here, we show Schroedinger's equation to be a reformulation\nof Newton's fundamental relation of dynamics as generalized to\nnon-differentiable geometries in the first paper citepaper1. It motivates an\nalternative interpretation of the other axioms of standard quantum mechanics in\na coherent picture. This exercise validates the Scale Relativistic approach\nand, at the same time, it allows to identify macroscopic chaotic systems\nconsidered at time scales exceeding their horizon of predictability as\ncandidates in which to search for quantum-like structuring or behavior.\n