From Space-Time Quantization to Dark Matter

Abstract

We generalize relativistic quantum mechanics and the Standard Model of elementary particle physics by considering a finite limit for the smallest measurable length. The resulting theory of Space-Time Quantization is logically consistent and accounts for all possible particle states by means of four new quantum numbers. They specify possible variations of wave functions at the smallest possible scale in space and time, while states of motion are defined by their large-scale variations. This theory also provides insight into the nature and properties of dark matter particles. It can facilitate their detection and identification because of a very strict conservation law.

Astrophysics and Dark Matter Theory

“…Chapter 4 is devoted to the study of DM rings. Chapter 5 completes the previous discussion [10] of detection or production of DM particles. Instead of DM-nucleon interactions,…”

“…Since DM particles cannot interact with photons, they are not in thermal equilibrium with the cosmic microwave background. However, color neutral n e narks could be converted into ν e neutrinos [10]. If the cosmic DM gas were in thermal equilibrium with the cosmic neutrino background (T =1.95 K), the average mass of galactic DM particles would be such that mc 2 ≈ 3.2 keV.…”

“…It is sufficient that its value 0 a ≠ , to prove that STQ accounts for elementary particle physics [10]. It yields also insight into the nature and properties of DM particles.…”

Relation between the Gravitational and Magnetic Fields

“…[1]. Quantification of space time allows us to distinguish elementary particles from each other in a simple and natural way [2,3]. Minimum volume, length or area are measured in the units of Planck [1].…”

“…Theories related to quantum gravity, such as string theory and doubly special relativity, as well as black hole physics, predict the existence of a minimum length [4,5]. The familiar concept of a spacetime continuum implies that it should be possible to measure always smaller and smaller distances without any finite limit [2]. Heisenberg, who insisted on expressing quantum mechanical laws in terms of measurable observables, questioned already the validity of this postulate [6].…”