Analytical Description of Unified Field Theory for Electromagnetic and Gravity Fields with the Introduction of Quantized Spacetime and Zero-Point Energy

Abstract

In our previous papers, using only the concepts of the zero-point energy and quantized space–times, most fields including gravity were explained. However, the previous papers had the following limitations: First, the concept of the quantized space–time must be experimentally confirmed. Second, we should clarify the meaning of the quantized Einstein’s gravity equation, which is derived in our previous paper. Moreover, in another paper, we succeeded in describing the neutrinos’ self-energy and their oscillations. However, that paper assumed the rest energy of 3-leptons in advance, which is why we needed to uncover the reason why leptons have 3-generations. As mentioned, using the concepts of the zero-point energy and quantized space–times, we derived the quantized Einstein’s gravity equation (QEG equation) in our previous paper. In Theory section of the present chapter provides an analytical solution of this equalized Einstein’s equation, which implies the conservation of angular momentum in terms of quantized space–times. Moreover, the temperature of the cosmic microwave background (CMB) emission is also obtained. Further, this solution of QEG equation results in an analytical (not numerical) derivation of the gravity wave. Moreover, based on the configuration of quantized space–times in terms of both electric and magnetic fields, we analytically attempted to calculate every equation in terms of electromagnetic and gravity fields, using the solution of the quantized Einstein’s gravity equation. In Result section of this chapter, first we confirmed that the temperature of CMB emission agrees with the measurement. Furthermore, the analytical solution of QEG equation resulted in most laws of electromagnetic and gravity fields in addition to the analytically derived gravity wave, which agrees well with the recent measurements. Moreover, in Result section of the present chapter, the calculations of the energies in the basic configuration of the quantized space–times resulted in all 3-leptons’ rest energies. Considering this basic configuration is uniformly distributed everywhere in the universe, we can conclude that τ-particles or static magnetic-field energy derived from the basic configuration of the quantized space–times is the identity of dark energy, which also distributes uniformly in the universe.