**Category:**

Research Papers

**Date Published:**

December 29, 2023

**Keywords:**

relative space, absolute space, finite space, infinite space, discrete space, physical space, CALM

**Abstract:**

This paper discusses the consequences (on the physical space) of some of the formal results proved in the precedent papers, namely the Theorem 5.5 of Formal Dependence and the inconsistencies of the actual infinity and the infinite divisibility. The consequences are almost immediate and very clear, space would have to be finite, discrete and physical, i.e real, which obviously contrast with the usual concept of space in contemporary physics. A model based on Cellular Automata Like Models is then proposed to start the discussions on the foundational basis of a new finitist and discrete paradigm of physical space.

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