TITLE:
From the Oscillating Universe to Relativistic Energy: A Review
AUTHORS:
Carmine Cataldo
KEYWORDS:
Oscillating Universe, Relativistic Energy, Extra Dimensions
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.3 No.1,
December
20,
2016
ABSTRACT: We
hypothesize a closed Universe belonging to the oscillatory class. More
precisely, we postulate a Universe that evolves following a simple harmonic
motion whose pulsation is equal to the ratio between the speed of light and the
mean radius of curvature. The existence of at least a further spatial dimension
is contemplated. Although the space we are allowed to perceive is curved, since
it is identifiable with a hypersphere whose radius depends on our state of
motion, the Universe in its entirety, herein assimilated to a four-dimensional
ball, is to be considered as being flat. All the points are replaced by
straight line segments: In other terms, what we perceive as being a point is
actually a straight line segment crossing the center of the above mentioned
four-dimensional ball. In the light of these hypotheses, we can easily obtain
the identity that represents the so called relativistic energy. In this paper
we discuss, more thoroughly than elsewhere, the deduction of the so called
mass-energy equivalence. Moreover, by carrying out a simple comparison with the
way in which we perceive a bi-dimensional surface, the noteworthy concept of
dimensional thickness is introduced.