Projected space–time and varying speed of light

Iovane, Gerardo; Bellucci, Stefano; Benedetto, Elmo

doi:10.1016/j.chaos.2007.09.022

Cited by 6 publications

(4 citation statements)

References 14 publications

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“…As reported in [19], Fantappiè's starting point was the study of classical and relativistic physics spacetime. Spacetime of classical physics is a 4-dimensional manifold endowed with the following geometrical structures:…”

Section: Spacetime Groupmentioning

confidence: 99%

“…Instead, in de Sitter relativity, we have the speed of light constant only when the spatial and temporal distances are not comparable with de Sitter radius. The speed of light is a function of spacetime length as consequence of de Sitter-Fantappiè group [19], and, once defined a point in the space, it increases by going back in time. At the time of Big Bang the light had infinite speed.…”

Section: Spacetime Groupmentioning

confidence: 99%

“…Due to these facts alternative theories have been considered as, for example, Extended Theories of Gravity which have become a sort of paradigm in the study of gravitational interaction based on the enlargement and the correction of the traditional Einstein scheme [6,7] role in the development of GR, as, for example, the Brans-Dicke theory in which the gravitational interaction is mediated by a scalar field as well as the tensor field of GR, and the gravitational constant G is not presumed to be constant but instead 1/G is replaced by a scalar field which can vary from place to place and with time [8]. Another theory in accord with Mach's Principle is de Sitter-Fantappiè relativity initially proposed by Fantappiè and subsequently developed by Arcidiacono and other authors [9][10][11][12][13][14][15][16][17][18][19][20][21][22]. At present, both Brans-Dicke theory and de Sitter-Fantappiè relativity are generally held to be in agreement with observation.…”

Section: Introductionmentioning

confidence: 99%

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Lie Group of Spacetime

Benedetto

2011

ISRN Astronomy and Astrophysics

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Section: Spacetime Groupmentioning

confidence: 99%

Section: Spacetime Groupmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Lie Group of Spacetime

Benedetto

2011

ISRN Astronomy and Astrophysics

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“…Fantappié noted that general relativity follows an approach far from the tradition of mathematical physics in that it does not follow the group structure of physics [4]. Subsequently this theory has been developed by Arcidiacono [5][6][7][8][9][10][11][12][13][14][15] and during the years also other authors have shown interest for this approach to cosmology [16][17][18][19][20][21][22][23]. As it is known, minor changes to the Einstein equations, while exhibiting all the classical verifications, produce completely different cosmologically-interesting solutions and possible universes are numerous.…”

Section: Introductionmentioning

confidence: 99%

Fantappié-Arcidiacono Spacetime and Its Consequences in Quantum Cosmology

Benedetto

2009

Int J Theor Phys

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Einstein's gravitational theory gave rise to a new conception of the Universe and Cosmology has been enclosed in the realm of Science and not only of Philosophy as before the Einstein work. Despite this, the presence of the Big Bang singularity, flatness and horizon problems led to the statement that Standard Cosmological Model, based on General Relativity and Standard Model of particle physics, is inadequate to describe the Universe in extreme regimes. Due to this facts, alternative gravitational theories and alternative approaches to cosmology have been proposed during the years. One of the most fruitful approach has been that of Projective Relativity and, in this paper, we analyze the developments of this theory. Projective Relativity, initially proposed by Fantappié and subsequently developed by Arcidiacono, has been recently revisited by prof. Ignazio Licata and other authors. The cosmological consequences of such extension appear relevant. In the following, we analyze the effects of the group approach on the metrics and on the dynamics and we will consider its properties in connection with varying speed of light.

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Completing Einstein’s Spacetime

Naschie¹

2016

JMP

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The four-dimensional character of Einstein's spacetime is generally accepted in mainstream physics as beyond reasonable doubt correct. However the real problem is when we require scale invariance and that this spacetime be four-dimensional on all scales. It is true that on our classical scale, the 4D decouples into 3D plus one time dimension and that on very large scale only the curvature of spacetime becomes noticeable. However the critical problem is that such spacetime must remain 4D no matter how small the scale we are probing is. This is something of crucial importance for quantum physics. The present work addresses this basic, natural and logical requirement and shows how many contradictory results and shortcomings of relativity and quantum gravity could be eliminated when we "complete" Einstein's spacetime in such a geometrical gauge invariant way. Concurrently the work serves also as a review of the vast Literature on E-Infinity theory used here.

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Projected space–time and varying speed of light

Cited by 6 publications

References 14 publications

Lie Group of Spacetime

Lie Group of Spacetime

Fantappié-Arcidiacono Spacetime and Its Consequences in Quantum Cosmology

Completing Einstein’s Spacetime

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