1977
DOI: 10.1007/bf00759590
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The de Sitter universe and mechanics

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Cited by 11 publications
(10 citation statements)
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“…Other motivations come from the Mach's Principle, that played an important role in the development of General Relativity, 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 General Relativity 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. Another theory in accord with Mach's Principle is de Sitter Relativity initially proposed by Fantappié and subsequently developed by Arcidiacono and other authors [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. At present, both Brans-Dicke theory and de Sitter Relativity are generally held to be in agreement with observation.…”
supporting
confidence: 73%
“…Other motivations come from the Mach's Principle, that played an important role in the development of General Relativity, 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 General Relativity 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. Another theory in accord with Mach's Principle is de Sitter Relativity initially proposed by Fantappié and subsequently developed by Arcidiacono and other authors [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. At present, both Brans-Dicke theory and de Sitter Relativity are generally held to be in agreement with observation.…”
supporting
confidence: 73%
“…More specifically, the "archaic universe" theories go back to the group theoretical approaches proposed in the mentioned, classical works of Arcidiacono and Fantappié [121][122][123][124][125][126] wherein the Projective Relativity" was introduced. Let us recall some basic concepts.…”
Section: On the Chronon In Quantum Cosmologymentioning
confidence: 99%
“…The cosmological principle has been applied to an appropriately revised form of Fantappié-Arcidiacono Projective General Relativity (PGR) or De Sitter Relativity (Arcidiacono, 1976;1977). PGR introduces a new fundamental constant of nature which does not exist in GR; dimensionally, this new constant is a time interval, indicated here with t0.…”
Section: A Bit More Mathematical Visionmentioning
confidence: 99%