Vacuum Fluctuation (1): the Same Basis of the Relativity and the Quantum Mechanics

TL;DR

This paper proposes three postulates of vacuum fluctuation to unify the foundations of relativity and quantum mechanics, deriving key principles and simplifying explanations of phenomena like the Compton effect and electron-positron annihilation.

Contribution

It introduces three postulates of vacuum fluctuation that serve as a common basis for deriving core concepts of both relativity and quantum mechanics.

Findings

Derived velocity limit, energy-frequency relation, and de Broglie wavelength from the postulates.

Simplified calculations of Compton effect and electron-positron annihilation.

Deduced key relativity relations such as mass-velocity and time dilation.

Abstract

The aim of this paper is to reveal the deep relationship between matter and vacuum, and to seek for the same physical basis of the relativity and the quantum mechanics. In doing this, three postulates of vacuum fluctuation are proposed first, the basic premises of the relativity and the quantum mechanics including the velocity limit, the energy-frequency relation and the de Broglie wavelength expression of any matter particles are deduced then. As applications, the idea is used to analyze the Compton effect and the electron-positron annihilation. It is found that the calculation becomes simple, and the physical meaning gets clear. The simplicity comes from the power of the three postulates. To illustrate this, the basic conclusions of the special theory of relativity such as the relations of mass-velocity, mass-energy, energy-momentum, time dilation and length contraction are further deduced. In addition, the significance of the investigation of vacuum fluctuation in the unification of the physical theories is pointed out.