May 25, 2023
space expansion, space deformation, length contraction, set densely ordered, immediate successiveness, adjacency, real numbers, real intervals, Principle of Formal Dependence, self-creation, self-destruction
This article in the series examines certain problems related to the contraction/expansion of space that have not yet been considered by contemporary physics. It examines the way in which these contractions and expansions would have to be carried out considering the formal characteristics of the set R^3 of the 3-tuples of real numbers used as a model of the space continuum, particularly the dense order of the set of real numbers, from which the impossibility of immediate successiveness (adjacency) between its elements is derived: between any two real numbers there is always an infinity of other different real numbers. This simple and well-known numerical fact imposes certain restrictions on how space intervals could be expanded and deformed, which adds new difficulties to physical theories that make use of such space's expansions and deformations.