English

Elementary Particles and the Causet Approach to Discrete Quantum Gravity

General Relativity and Quantum Cosmology 2014-03-31 v1

Abstract

In a previous paper, the author introduced a covariant causet (cc-causet) approach to discrete quantum gravity. A cc-causet is a finite partially ordered set that is invariant under labeling. The invariant labeling of a cc-causet xx enables us to uniquely specify xx by a sequence \bracsj(x)\brac{s_j(x)}, j=0,1,2,j=0,1,2,\ldots, of positive integers called a shell sequence of xx. A cc-causet xx describes the microscopic structure of a possible universe at a particular time step. In general, xx represents one of many universes in a multiverse and xx grows by a single element at each time step. Since early stages of a universe were probably composed of elementary particles, we propose that elementary particles can be described by simple cc-causets. Although we do not have a rigorous theory for such a description, we present our guess as to how it might appear. The shell sequence can be applied to find theoretical masses of particles and these seem to approximately agree with known masses. We point out that the causal order provides a unification of the strong and weak forces for elementary particles and also determines the geometry of cc-causets which describes gravity. Moreover, it appears that some particles correspond to dark matter-energy.

Keywords

Cite

@article{arxiv.1403.7275,
  title  = {Elementary Particles and the Causet Approach to Discrete Quantum Gravity},
  author = {Stan Gudder},
  journal= {arXiv preprint arXiv:1403.7275},
  year   = {2014}
}

Comments

9 pages, 2 figures

R2 v1 2026-06-22T03:36:50.985Z