How to (Un-) Quantum Mechanics

• URL: http://arxiv.org/abs/1810.06981v2
• Date: Thu, 29 May 2025 16:41:54 GMT
• Title: How to (Un-) Quantum Mechanics
• Authors: C. Baumgarten,
• Abstract summary: Hamiltonian formulation of classical mechanics is based on abstract coordinates and momenta: It is a mathematical rather than a philosophical framework.<n>It is shown that a spatial-temporal description is not a condition for but a consequence of objectivity.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: When compared to quantum mechanics, classical mechanics is often depicted in a specific metaphysical flavour: spatio-temporal realism or a Newtonian "background" is presented as an intrinsic fundamental classical presumption. However, the Hamiltonian formulation of classical analytical mechanics is based on abstract generalized coordinates and momenta: It is a mathematical rather than a philosophical framework. If the metaphysical assumptions ascribed to classical mechanics are dropped, then there exists a presentation in which little of the purported difference between quantum and classical mechanics remains. This presentation allows to derive the mathematics of relativistic quantum mechanics on the basis of a purely classical Hamiltonian phase space picture. It is shown that a spatio-temporal description is not a condition for but a consequence of objectivity. It requires no postulates. This is achieved by evading spatial notions and assuming nothing but time translation invariance.

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