The primes geometry paradigm for space—type interval description

Abstract

The primes geometry paradigm here exposed for the first time has the power to offer solutions to (local) cause-effect violations and to time backward problems that in a hypothetical faster than light (ftl) travel are usually thought to arise. Our interpretation of causality should be extended from a local cause-effect order to a macroscopically distributed (non-local) one. This new paradigm gives us the unique opportunity: a) to extend our formalism of cause-effect laws in space and time in order to solve FTL travel paradoxes and b) to give hints for trying experiments that look for the existence of space-type interval phenomena imbedded in our time-type and zero time-type reality. An extension of the extractable information from the Heisenberg principle (Δx×Δp⩾ℏ) will be also presented, together with a new interpretation of Einstein’s ΔE=Δm×c2 formula regarding the geometry of heat and dissipative fluxes connected to our perception of time. Even if non-locality has to be intended as wherever present, it is not usually perceived as dominant over local transport because of the quantizing properties of the latter (i.e. electromagnetic zero type time interval-radiation-) that hinders us to think in terms of distributed order. The predictability of primes as factors of primes products will explain the local and non-local coupled reference frame which is thought to be employed in the physical world for describing a theory of superluminal actions in terms of phase transition physics between the three General Relativity defined and permitted space-time intervals, connecting it also with the physics of the Zero Point Energy Fluctuations’ field.