Abstract
The aim of this paper essentially lies in attributing a new meaning, coherent with phenomenological reality, to several phenomena usually classified as relativistic, such as the alleged increase of the mean lifetime of muons and the gravitational redshift. According to the model herein proposed, all the relativistic equations preserve their validity, albeit with a different connotation. We consider a Simple-Harmonically Oscillating Universe, characterized by a null curvature parameter, postulating the existence of a further spatial dimension, not directly perceivable. Time is considered as being absolute, although instruments and devices of whatever kind, commonly employed to measure it, may be significantly influenced by motion and gravity. The Planck Constant is regarded as a parameter, locally variable and subjected to a cyclic evolution. Time and space are treated as quantized physical quantities.
Highlights
The paper consists, net of this short introduction, of 9 Sections or Paragraphs
The Universe is identified with a 4-Ball, the radius of which may evolve in accordance with the relation derived in the previous paragraph, and the concept of material point is definitively replaced by the one of material segment
In Paragraph 5, in order to provide a better understanding of some noteworthy positions carried out in the second paragraph, we propose an alternative deduction of the Friedmann-Lemaître Equations
Summary
The paper consists, net of this short introduction, of 9 Sections or Paragraphs. In Paragraph 2, the well-known compatibility between General Relativity ( onwards GR) and a Simple-Harmonically Oscillating Universe, flat and conventionally singular at t = 0 , is accurately discussed: in detail, starting from the first Friedmann-Lemaître Equation, we carry out a step-by-step derivation of the simple equation that describes the cyclic variation (over time) of the Scale Parameter (the radius, in our case). In Paragraph 4, we address the Lorentz Transformations, backbone of Special Relativity ( onwards SR). At this stage, we introduce more explicitly the absoluteness of time. In the light of this fundamental assumption, undeniably tough, we carry out, by exploiting the outcomes attained in the previous paragraph, an unconventional derivation of the Lorentz Transformations, both in direct and inverse form. By resorting to the Generalized Uncertainty Principle, we improve the quantization introduced in the second paragraph, so attaining the writing of the first Friedmann-Lemaître equation as a function of a timedependent Planck “Constant”. At the end of the paragraph, we carry out a parameterization, which formally involves the quantization, by means of which we will be able to derive a Schwarzschild-Like Solution
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