Effects of Compactification on Free Massive Scalar Fields in Five-Dimensional Space-Time with an Extra Time Dimension: Analysing Some Results

Abstract

This paper deals with some aspects of two-time physics (i.e., 2T + 3S fivedimensional space) for a Minkowski-like space with distinct speeds of causality for the time dimensions. Detailed calculations are provided to obtain results of Kaluza-Klein type compactification for free massive scalar fields and abelian free gauge fields. As already indicated in the literature, a tower of massive fields results from the compactification with mass terms having signs opposite to those of the ones appearing in other five-dimensional theories with an extra space dimension. We perform elaborate numerical calculations to highlight the magnitude of the imaginary masses and ask if we need to explore alternative compactification techniques.

Behaviour of Particles in 2 Time Dimensional Spacetime with Separate Speeds of Causality through Dirac and Klein-Gordon Formulations

“…This result was also obtained by Sajjad Zahir [16] however he looked at the result of then compactifying this equation and analysing the new result obtained. In the present paper, we do not focus on that and instead look at the consequences of the purely mathematical 5 dimensional space-time structure and talk a bit about compactification in the conclusing remarks.…”

“…In this paper we didn't present an argument of compactification and without the theory would not be viable with current experiments as there is no observed second time dimension. In the paper by Sajjad Zahir [16], he discussed it in more detail for the Klein-Gordon Equation but such a compacitfication for the Dirac Equation is not quite present at the current point in time.…”