Scale relativistic formulation of non-differentiable mechanics II: The Schroedinger picture
Abstract
This article is the second in a series of two presenting the Scale Relativistic approach to non-differentiability in mechanics and its relation to quantum mechanics. Here, we show Schroedinger's equation to be a reformulation of Newton's fundamental relation of dynamics as generalized to non-differentiable geometries in the first paper \cite{paper1}. It motivates an alternative interpretation of the other axioms of standard quantum mechanics in a coherent picture. This exercise validates the Scale Relativistic approach and, at the same time, it allows to identify macroscopic chaotic systems considered at time scales exceeding their horizon of predictability as candidates in which to search for quantum-like structuring or behavior.
Keywords
Cite
@article{arxiv.1701.00530,
title = {Scale relativistic formulation of non-differentiable mechanics II: The Schroedinger picture},
author = {Mei-Hui Teh and Laurent Nottale and Stephan LeBohec},
journal= {arXiv preprint arXiv:1701.00530},
year = {2019}
}
Comments
17 pages, no figures, submitted to Phys. Rev. E This article was merged with another which will be replaced by the combined version