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From the Oscillating Universe to Relativistic Energy: A Review

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Document pages: 11 pages

Abstract: Wehypothesize a closed Universe belonging to the oscillatory class. Moreprecisely, we postulate a Universe that evolves following a simple harmonicmotion whose pulsation is equal to the ratio between the speed of light and themean radius of curvature. The existence of at least a further spatial dimensionis contemplated. Although the space we are allowed to perceive is curved, sinceit is identifiable with a hypersphere whose radius depends on our state ofmotion, the Universe in its entirety, herein assimilated to a four-dimensionalball, is to be considered as being flat. All the points are replaced bystraight line segments: In other terms, what we perceive as being a point isactually a straight line segment crossing the center of the above mentionedfour-dimensional ball. In the light of these hypotheses, we can easily obtainthe identity that represents the so called relativistic energy. In this paperwe discuss, more thoroughly than elsewhere, the deduction of the so calledmass-energy equivalence. Moreover, by carrying out a simple comparison with theway in which we perceive a bi-dimensional surface, the noteworthy concept ofdimensional thickness is introduced.

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