Abstract

In this paper we will develop further the absolute position of a particle defined in (1), (2) which involves the particle's decay time or when relevant internal time and the particle's velocity with respect to the expanding universe. We will refine the previous definition to give two separate absolute position definitions, one termed the absolute position at rest and the other termed the absolute position which includes also a contribution of the particle's velocity with respect to the velocity of the expanding universe. Next we will discuss how we may define the particle's absolute energy from the particle's absolute position definition. We will show, how the absolute energy definition may help us to identify a dependence between the particle's decay time, as measured in its rest frame, and its velocity with respect to the expanding universe. Consequently, we will relate the above to the particle's mean lifetime and discuss the affect and relationship of the running coupling constant and the possible mean lifetime dependence on velocity. Finally, experimental ways by which one may investigate and test the above are presented.

Highlights

  • In this paper we will develop further the absolute position definition given in Brodet (2017a, b) which uses the particle's decay time or when relevant internal time and the particle's velocity with respect to the expanding universe

  • The absolute position of a particle was discussed in terms of two separate definitions

  • A definition for the particle's absolute energy was calculated from the particle's absolute position

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Summary

Introduction

In this paper we will develop further the absolute position definition given in Brodet (2017a, b) which uses the particle's decay time or when relevant internal time and the particle's velocity with respect to the expanding universe. How the absolute energy expression may help us identify a dependence between the particle's decay time at its rest frame and the particle's velocity with respect to the expanding universe.

Absolute Position that does not Depend on Velocity
Absolute Position that Depends on Velocity
Absolute Energy at Rest
Energy Implications
Conclusions
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