A Marionette Universe

Novello, M.; Oliveira, Luciano Amaral

doi:10.1142/s0217751x86000344

Cited by 3 publications

(3 citation statements)

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“…He proposed Einstein's metricity condition can be generalized to incorporate conformal invariance (∇ µ g αβ ∼ C µ g αβ , see next page for possible space-time geometry). These attempts, however, had a serious problem [5][6][7]. It is that quantum mechanics provides absolute standards of length and Weyl's theory leads to observational inconsistency, even though some authors suggested how to overcome this inconsistency [8].…”

Section: Introductionmentioning

confidence: 99%

“…This is just Einstein-Maxwell action with cosmological constant! But, in 1918, Einstein rejected Weyl's theory [5][6][7]. Einstein pointed out that according to Weyl's theory, the reading of an atomic clock would depend not only on space-time geometry but also on the unit length of the measurement.…”

Section: A Review Of the Weyl's Theory : Introduction And Observation...mentioning

confidence: 99%

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Conformal Invariance in Einstein–cartan–weyl Space

Moon

Lee

2010

Mod. Phys. Lett. A

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We consider conformally invariant form of the actions in Einstein, Weyl, Einstein-Cartan and Einstein-Cartan-Weyl space in general dimensions(> 2) and investigate the relations among them. In Weyl space, the observational consistency condition for the vector field determining non-metricity of the connection can be obtained from the equation of motion. In Einstein-Cartan space a similar role is played by the vector part of the torsion tensor. We consider the case where the trace part of the torsion is the Kalb-Ramond type of field. In this case, we express conformally invariant action in terms of two scalar fields of conformal weight −1, which can be cast into some interesting form. We discuss some applications of the result.

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Section: Introductionmentioning

confidence: 99%

Section: A Review Of the Weyl's Theory : Introduction And Observation...mentioning

confidence: 99%

Conformal Invariance in Einstein–cartan–weyl Space

Moon

Lee

2010

Mod. Phys. Lett. A

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“…Here I can only hint summarily at a sample from different groups or individual authors who took part in this exploration during the following decades until, roughly, the end of the century. Among them were P. Bouvier and A. Maeder, Geneva, from astronomy (Bouvier/Maeder, 1977, 1979Maeder, 1980);50 N. Rosen, the former collaborator of Einstein, and his PhD student M. Israelit came from gravitational theory (Rosen, 1982;Israelit/Rosen, 1992, 1995Israelit, 1999), and from cosmology M. Novello with a growing group of researchers in Brazil (Novello, 1986;Novello et al, 1993). Other authors like L. Smolin, W. Drechsler, his PhD student H. Tann and H. Cheng, working in fundamental or high energy physics, also took up Weyl geomteric methods (Smolin, 1979;Drechsler, 1991;Drechsler/Tann, 1999b;Drechlser, 1999;Cheng, 1988).…”

Section: Weyl Geometric Gravity With a Scalar Field And Dynamical Sca...mentioning

confidence: 99%

Gauging the spacetime metric -- looking back and forth a century later

Scholz

2019

Preprint

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H. Weyl's proposal of 1918 for generalizing Riemannian geometry by local scale gauge (later called Weyl geometry) was motivated by mathematical, philosophical and physical considerations. It was the starting point of his unified field theory of electromagnetism and gravity. After getting disillusioned with this research program and after the rise of a convincing alternative for the gauge idea by translating it to the phase of wave functions and spinor fields in quantum mechanics, Weyl no longer considered the original scale gauge as physically relevant. About the middle of the last century the question of conformal and/or local scale gauge transformation were reconsidered by different authors in high energy physics (Bopp, Wess, et al.) and, independently, in gravitation theory (Jordan, Fierz, Brans, Dicke). In this context Weyl geometry attracted new interest among different groups of physicists (Omote/Utiyama/Kugo, Dirac/Canuto/Maeder, Ehlers/Pirani/Schild and others), often by hypothesizing a new scalar field linked to gravity and/or high energy physics. Although not crowned by immediate success, this "retake" of Weyl geometrical methods lives on and has been extended a century after Weyl's first proposal of his basic geometrical structure. It finds new interest in present day studies of elementary particle physics, cosmology, and philosophy of physics.

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Gauging the Spacetime Metric—Looking Back and Forth a Century Later

Scholz

2020

Fundamental Theories of Physics

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A Marionette Universe

Cited by 3 publications

References 0 publications

Conformal Invariance in Einstein–cartan–weyl Space

Conformal Invariance in Einstein–cartan–weyl Space

Gauging the spacetime metric -- looking back and forth a century later

Gauging the Spacetime Metric—Looking Back and Forth a Century Later

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