Abstract

The aim of this research is a better understanding of the quantization in physics. The true origin of the quantization is the existence of the quantized kinetic momentum of electrons, neutrinos, protons and neutrons with the value. It is a consequence of the extended relativistic invariance of the wave of fundamental particles with spin 1/2. This logical link is due to properties of the quantum waves of fermions, which are functions of space-time with value into the and End(Cl3) Lie groups. Space-time is a manifold forming the auto-adjoint part of . The Lagrangian densities are the real parts of the waves. The equivalence between the invariant form and the Dirac form of the wave equation takes the form of Lagrange's equations. The momentum-energy tensor linked by Noether's theorem to the invariance under space-time translations has components which are directly linked to the electromagnetic tensor. The invariance under of the kinetic momentum tensor gives eight vectors. One of these vectors has a time component with value . Resulting aspects of the standard model of quantum physics and of the relativistic theory of gravitation are discussed.

Highlights

  • Cl3∗ = End(C2) and End(Cl3) Lie groups

  • When classical mechanics was replaced by quantum mechanics many tis quis, diam

  • Since the wave equation is homogeneous the Lagrangian density is null for any solution of the wave equation

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Summary

Chiral Parts of the Wave

The φ = φ1 wave of the electron is the sum of a left part and a right part: All tensorial densities of the Dirac wave are built from these left and right parts. The improved wave equation is equivalent to the system (see [37] 1.5.1): 0 = −i∇R1 + qAR1 + meiβL1. And the probability current satisfies: J = φφ = DR + DL; DR = R1R1; DL = L1L1, ρe−iβ = φφ = L1R1 + R1L1; ρeiβ = φφ = L1R1 + R1L1. (31) 1 J; vv = 1; v−1 = v. m R1R1L1 ρ mvL1.

L1R1L1 ρ
Normalization of the Wave
Electromagnetic Field
Quantized Kinetic Momentum
Pauli’s Principle
Gravitation
Second Quantization and the Standard
Concluding Remarks
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