Relativity and Cosmology


Reading Nature's Book by Looking, More than Once, at its Cover: An Axiom-Free Relativity Model Based only on Physical Measurements

Authors: Ramzi Suleiman

We consider inertial physical systems in which signals about physical measurements conducted in one reference frame are transmitted to a receiver moving with relative constant velocity v, by an information carrier with a constant velocity v_c with respect to the transmitter's rest frame. To render the model relevant to reality, we assume v_c> v. We make no other assumptions. For systems of this type, we derive the relativistic time, distance, mass, and energy transformations, relating measurements transmitted by the information sender, to the corresponding information registered at the receiver. The sender and receiver need not be human or animate observers. The resulting relativistic terms are beautiful and simple. They are functions only of the normalized velocity β = v/v_c , implying they are scale independent with respect to the velocity of the information carrier, and to the mass and spatial dimensions of the observed bodies. The model's scale independency renders it applicable for all physical systems, irrespective of their size, and the velocity of the information carrier used in the system. For β << 1, all the derived transformations reduce to Galileo-Newton physics. The derived transformations disobey the Lorentz invariance principle. The time transformation predicts relativistic time dilation for distancing bodies and time contraction for approaching bodies. The distance transformation predicts relativistic length contraction for approaching bodies and length extension for distancing bodies. The mass transformation is inversely proportional to the distance transformation, implying an increase in relativistic mass density for approaching bodies and a decrease of mass density for distancing bodies, due to respective length contraction or extension along the body's travel path. For distancing bodies, the relativistic kinetic energy as a function of β displays a monotonic pattern, with a unique maximum at β = Φ, where Φ is the golden ratio (≈ 0.618). At sufficiently high normalized velocities, the relativistic extension can maintain spatial locality between distanced particles, suggesting quantum entanglement is not "spooky," because it is a proximal action. For the special case of v_c = c, where c is the velocity of light, application of the proposed model yields new important insights and results and reproduces several important predictions of Special Relativity, General Relativity, observationally based ΛCDM models, and quantum theory. The model makes excellent predictions for the Michelson-Morley's "null" result, the relativistic lifetime of decaying muons, the Sagnac effect, and the neutrino velocities reported by OPERA and other collaborations. Application of the model to cosmology, without alteration or addition of free parameters, is successful in accounting for several cosmological findings, including the pattern of recession velocity predicted by inflationary theories, the amounts of matter and dark energy in various segments of redshift, reported in recent ΛCDM cosmologies, the GZK energy suppression phenomenon, and the radius of gravitational black holes. More interestingly, we show that the model, despite being deterministic and local, reproduces the predictions of quantum theory for key quantum phenomena, including matter-wave duality, quantum criticality, quantum entanglement, and the formation of Bose-Einstein condensate. The multiplicity and range of the proposed epistemic model predictions suggests that for inertial systems, mere comparison between physical observations taken at the rest of reference and the information received about the same measurement from another moving reference frame is a potent tool for extracting the laws of nature as they are revealed to us. Put metaphorically, we contend that the hidden secrets of the book of Nature often disclose themselves by leaving fingerprints on the book's cover. From observing the fingerprints, humans and other beings can reconstruct information valuable for their survival.

Comments: 67 Pages.

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Submission history

[v1] 2015-12-11 21:15:31
[v2] 2015-12-13 12:46:52
[v3] 2015-12-15 02:26:18
[v4] 2015-12-20 20:03:46

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