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.
Highlights
Our universe is hypothesized as belonging to the so called oscillatory class [1]
The concept of material point has been replaced by that of material line segment: in other terms, what we perceive as being a point may be a straight-line segment that crosses the centre of the four-dimensional ball that represents our Universe
Mass-energy equivalence turns out to be nothing but the conservation of energy principle: we have started by postulating that the amount of energy that can be ascribed to whatever material segment is to be considered as being constant [2]
Summary
Our universe is hypothesized as belonging to the so called oscillatory class [1]. By taking into account Equations (1) and (4), we can immediately write the so-called Hubble parameter [5], commonly denoted by H, as follows: H= R=. As a consequence, it is quite evident how the Hubble parameter may have assumed in the past, and could possibly still assume in the future, negative values. Let’s consider a material point whose motion is defined by Equation (1) (in other terms, a simple harmonic oscillator consisting of a mass and an ideal spring). If we denote with m the mass of the above-mentioned point, the elastic constant, denoted by k, can be written as follows:
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of High Energy Physics, Gravitation and Cosmology
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
