Abstract

In this paper we will the discuss possible hidden symmetry in time and the possible asymmetry in mass and velocity between a particle and its anti-particle. Possible hidden symmetry in time between a particle and its anti-particle manifested in their corresponding possible hidden variables in time, fr and -fr  was first discussed in Brodet (2017b). In this paper we will extend the discussion and discuss how the above possible hidden symmetry in time and its corresponding possible symmetry in absolute position, energy and momentum, may yield an asymmetry in mass and velocity of a particle and its corresponding anti-particle. We will deconstruct the particle’s and anti-particle’s absolute position, into three complex number describing the particle/anti-particle time, velocity and mass. The particle/anti-particle symmetry and asymmetry of the above complex numbers will be discussed in the context of parity violation and the known asymmetry in angular production of particles and anti-particles. Moreover, the possible mass asymmetry will be used to explain the CP violation in the neutral kaon system. Finally, experimental ways to investigate and test the above are presented.

Highlights

  • The particle/anti-particle absolute positions were deconstructed into three complex numbers, containing three Independent characteristics of the particle/anti-particle namely, internal time, mean lifetime and velocity

  • The possible particle/anti-particle hidden symmetry in time was demonstrated in the time complex number

  • The possible particle/anti-particle asymmetry in mass and velocity was demonstrated in the mean lifetime and velocity complex numbers

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Summary

Introduction

The suggested symmetry in time may be a part of a larger suggested symmetry between the particle/anti-particle absolute position (Brodet, 2018), which yields a symmetry in energy and momentum. We will discuss how the above symmetry requirements may yield an asymmetry between particle/anti-particle in mass and velocity. We will show how one may deconstruct the absolute position, Pi(abs ) of a particle/anti-particle into three complex numbers namely time, mean lifetime and velocity complex numbers.

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