Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

# Classical Mechanics as a Fundamental Law of Quantum Mechanics

Version 1 : Received: 10 August 2020 / Approved: 11 August 2020 / Online: 11 August 2020 (05:37:51 CEST)

How to cite: Roth, Y. Classical Mechanics as a Fundamental Law of Quantum Mechanics. Preprints 2020, 2020080252 (doi: 10.20944/preprints202008.0252.v1). Roth, Y. Classical Mechanics as a Fundamental Law of Quantum Mechanics. Preprints 2020, 2020080252 (doi: 10.20944/preprints202008.0252.v1).

## Abstract

n our previous paper, we showed that the so-called quantum entanglement also exists in classical mechanics. The inability to measure this classical entanglement was rationalized with the definition of a classical observer which collapses all entanglement into distinguishable states. It was shown that evidence for this primary coherence is Newton’s third law. However, in reformulating a "classical entanglement theory" we assumed the existence of Newton’s second law as an operator form where a force operator was introduced through a Hilbert space of force states. In this paper, we derive all related physical quantities and laws from basic quantum principles. We not only define a force operator but also derive the classical mechanic's laws and prove the necessity of entanglement to obtain Newton’s third law.

## Subject Areas

post collapse entanglement; commutators pictures; force operator; labeling set

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