Is there a physical continuum?

Mate Csanad

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arXiv · 2109.03052

Is there a physical continuum?

Mate Csanad

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Abstract

We are used to the fact that most if not all physical theories are based on the set of real numbers (or another associative division algebra). These all have a cardinality larger than that of the natural numbers, i.e. form a continuum. It is often asked, whether there really is a continuum in the physical world, or whether a future physical theory could work with just countable infinities. The latter could for example be compatible with a quantized space-time. In this paper we formulate a simple model of the brain and show that within the presented natural assumptions, the continuum has to exist for at least some physical quantities.

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Mate Csanad. 2022-10-06. Is there a physical continuum?. https://arxiv.org/abs/2109.03052

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