August 25, 2023
gravitational waves, spacetime continuum, dense order, discreteness, physical space, physical time, real objects versus useful fictions, fundamental physics, operational physics.
This article presents an unexpected formal consequence of the experimental detection of gravitational waves. It proves that space is not a theoretical fiction useful for discussing the relative positions of physical bodies, but a real physical object. It also proves that space is not formed by a non-denumerable infinitude of inextensive points, but by a finite number of discrete, indivisible and contiguous units of non-zero extension. The demonstration is based both on the now undeniable reality of gravitational waves, and on the inconsistency of the Hypothesis of the Actual Infinity subsumed in the Axiom of Infinity, inconsistency that is very briefly demonstrated in Appendix B of this paper. I invite you to examine that very short demonstration, and if you do not find it correct, you can stop reading this article right there.
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