Abstract

The spacetime lattice model involves time lattice (static lattice) model and space lattice (dynamic lattice) model, both of which have the same lattices’ domains and the same fractal structures. The behaviors of the space field obey the uncertainty relations, which gauge invariance shows the space field is a gauge field, making the electromagnetic field, gravitowagnetic field and the fermion field be gauged, and the Lorentz condition and Lorentz gauge are the intrinsic attributes of the spacetime. The quantization of the classical space field produces S bosons of spin-1, which stimulated states by charges and masses are respectively photons and gravitons. The S bosons in thermal excitation are immeasurable and their energies may be dark. The principle of partition of independent freedom degrees regularizes the degrees for all particles including neutrino, which must have mass. By the S bosons, we interpret newly the virtual photons. Using the spacetime lattice model, we investigate the breaking of the symmetry of the gradient fields and the symmetry of the curl fields for the potential functions of the space field, and the creations and the annihilations of the dark photons and the dark gravitons. The complexity requires us to rename the electroweak phase transition as electro-gravito-weak phase transition. Finally, antiparticles are discussed. Our approach for the lattice models is a kind of renormalization group theory, signifying the breaking of symmetries can be renormalized.

Highlights

  • In February 2016 scientists announced that they detected gravitational waves by observation of a binary black hole merger [1]

  • The dynamic lattice model can draw the space field, which acts as a background field for the other fields being applicable to the static lattice model

  • Since only the Aμ ( x) of the first term of Equation (32), which is the potential function of the conventional electromagnetic field, refers to the current, the Aμ ( x) in this derivative term should be regarded as the potential function of the thermal stimulated space field, so Equation (35) is the wave equation of the space field similar to Equations (13.2) and (16.2)

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Summary

Introduction

In February 2016 scientists announced that they detected gravitational waves by observation of a binary black hole merger [1]. This is a dynamic stability as the energies fluctuations, which were proved by the detection of microwave radiation background [11]-[13] Considering this situation, we construct a physical space lattice model making up of infinite minimal spaces with nonzero volumes due to the uncertainty principle. The wave rate does be the rate with respect to the lattice equilibrium sites, which are the coordinate positions for all inertial reference frames, such that the space field waves velocity, i.e. the light speed, is constant for all inertial system. Lorentz gauge is the intrinsic attribute of the spacetime

Classical Space Field
The Quantization of the Space Field
Stimulated States and Virtual Photons
The Principle of Partition of Independent Freedom Degrees
The Nature of the Lorentz Gauge
Dark Photons and Dark Gravitons
Antiparticles
Conclusion
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