Quantum Physics

    

Discrete Space, Continuous Time: A Study of Relativistic and Quantum Mechanics on a Discrete Non-Hausdorff Manifold

Authors: Blazej Kot

We seek to present a novel model of motion which underlies, and provides interpretations for, both the theory of relativistic motion (including gravity) and quantum mechanics. We reject the continuity of space and instead treat motion and space as discrete phenomena. Crucially, we also allow space to have "holes" and "branches" in it in the sense of it being a non-Hausdorff manifold. Thus space is not an all-pervading background "stage" but rather a dynamic entity built up as particles interact with each other. Only paths a particle may physically take enter into building this manifold. We reject the idea of space existing for a particle even where it cannot physically be present, such as inside the barrier in the double-slit experiment. We present our theory of motion then show the key phenomena and equations of special and general relativity as well as quantum mechanics can be recovered from it.

Comments: 26 Pages.

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Submission history

[v1] 2023-09-21 01:47:36

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