Fluctuating Lattice, Several Energy Scales

TL;DR

This paper explores the concept of a fluctuating lattice underlying physical scales, fitting energy scales and coupling constants in the Standard Model through a novel lattice-based approach, suggesting a layered quantum lattice structure.

Contribution

It introduces a model linking fluctuating lattice constants to physical energy scales and provides a novel fit of Standard Model constants using lattice quantum corrections without supersymmetry.

Findings

Logarithms of energy scales relate linearly to a dimension-based parameter q.

Quantum corrections from the lattice are three times larger than naive estimates.

The unification scale is consistent with the fluctuating lattice model.

Abstract

In part I: We find a series physical scales such as 1) Planck scale, 2) Minimal approximate grand unification SU(5), 3) the mass scale of the see saw model right handed or Majorana neutrinoes, some invented scale with many scalar bosons, etc., and get the logarithms of these energy scales fitted by a quantity q related to the dimensions of to thescales related dimensionalities of coefficients in Lagrangian densities,or some generalization of this q to something similar in the variouscases of the scales. The logarithm of the energies behave as a straight line versus the dimension related number q. This is being explained by an ontologically existing lattice, which fluctuates in lattice canstant a from place to place in space time or more precisely, it fluctuates quantum mechanically. In Part II: We find a fitting of the three fine structure constantsin the Standard Model by means of a no-susy and SU(5)-like - but only accurately SU(5) symmetric in the classical approximation - by means of three other parameters for each of which, however, we have speculative predictions: Quantum corrections due to the lattice whichare three times as large as naive quantum corrections, because the lattice is supposed to lie in layers, one layer for each fermion-family; criticallity of the unified coupling, using the satnadrd model group S(U (2) x U (3)); the unification scale is fitted inot the scale-system of part I