Faster than Light: Again on the Lorentz Transformations

Abstract

<p class="1Body">The Lorentz transformations can be considered, without any doubt whatsoever, as the backbone of the theory of Special Relativity. Nonetheless, both the conventional derivation of the transformations and the meaning commonly assigned to them have been often savagely criticized, to the extent that, despite an alleged empirical evidence, the whole Special Relativity, in several occasions, has been brought into question. This paper is finalized to more thoroughly discuss a line of reasoning, elsewhere used in order to carry out an alternative deduction of the mass – energy equivalence, that may lead, amongst other things, towards the assignment of a new meaning to the Lorentz transformations, without any loss of formal validity. The transformations can be alternatively deduced once assumed some noteworthy hypotheses concerning our Universe, among which the existence of at least a further spatial dimension stands out. It is fundamental to underline that time is supposed as being absolute.</p>

From the Oscillating Universe to Relativistic Energy: A Review

“…In the latter case, the speed perceived by an observer at rest is greater that the real one, but time does not undergo any dilation whatsoever. Two different explanations, one of which based upon the absoluteness of time, both fully compatible with the Lorentz Equations, that consequently, though, acquire a completely different meaning in the two cases [13].…”

On the Schwarzschild Solution: a Review

“…Clearly, 0 stands for t, 1 for r, 2 for θ, and 3 for φ. Setting k=0, from (2), (3) and (4), we obtain:…”

“…Although the space we are allowed to perceive is curved, since it is identifiable with a hyper-sphere whose radius depends on our state of motion [3] [4], the Universe in its entirety, assimilated to a 4-ball, is considered as being flat [5]. 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 centre of the 4-ball.…”

On the Absoluteness of Time

“…All the models we have elsewhere discussed (Cataldo, 2016a(Cataldo, , 2016b(Cataldo, , 2017a(Cataldo, , 2017b(Cataldo, , 2017c(Cataldo, , 2017d) start from hypothesizing a closed Universe, homogeneous and isotropic, belonging to the so-called oscillatory class (O 1 type in the Harrison classification) (Harrison, 1967). More precisely, we postulate a Universe that approximately evolves following a simple-harmonic motion, whose pulsation is equal to the ratio between the speed of light and the value of the mean radius, taken as reference (Cataldo, 2017b(Cataldo, , 2017c.…”