Yang–mills Gravity in Flat Space–time I: Classical Gravity With Translation Gauge Symmetry

Hsu, Jong-Ping

doi:10.1142/s0217751x06034082

Cited by 24 publications

(111 citation statements)

References 21 publications

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“…[3,4] This deflection angle is roughly 12% smaller than the usual value 1.75 in general relativity. 1 The 1919 measurements made during a solar eclipse by Dyson, Eddington and Davidson [8] were very difficult and any repeat would be equally difficult. As a result, the experimental results for the bending of light by the sun with optical frequencies in the past 100 years have large uncertainties of (10 − 20)%, [9][10][11] due to large systematic errors.…”

Section: Discussion Of Frequency Dependence and Testsmentioning

confidence: 99%

“…[5] The Lagrangian for the electromagnetic potential field A µ in the presence of gravity is obtained by replacing the partial space-time derivatives ∂ µ in the Lagrangian by the T 4 gauge covariant derivative ∆ µ . Thus, we have [1] …”

Section: Modified Maxwell's Equations and Eikonal Equationsmentioning

confidence: 99%

“…Such a theory can be quantized to obtain Feynman-Dyson rules for quantum Yang-Mills gravity and is consistent with known experiments. [1][2][3][4] A new interesting property is that the classical objects such as light rays and macroscopic objects move as if they were in an effective curved space-time. The reason is that their equations of motion are derived from the quantum wave equations in flat spacetime, which involves T 4 gauge covariant derivative ∆ µ = ∂ µ − igφ µν p ν where p µ = i∂ µ is the generator of the T 4 group, and φ µν is the symmetric tensor gauge field associated with space-time translational gauge symmetry.…”

Section: Introductionmentioning

confidence: 99%

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Experiments on Frequency Dependence of the Deflection of Light in Yang-Mills Gravity

2018

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Abstract. In Yang-Mills gravity based on flat space-time, the eikonal equation for a light ray is derived from the modified Maxwell's wave equations in the geometric-optics limit. One obtains a Hamilton-Jacobi type equation, G µν L ∂ µ Ψ∂ ν Ψ = 0 with an effective Riemannian metric tensor G µν L . According to Yang-Mills gravity, light rays (and macroscopic objects) move as if they were in an effective curved space-time with a metric tensor. The deflection angle of a light ray by the sun is about 1.53 for experiments with optical frequencies ≈ 10 14 Hz. It is roughly 12% smaller than the usual value 1.75 . However, the experimental data in the past 100 years for the deflection of light by the sun in optical frequencies have uncertainties of (10-20)% due to large systematic errors. If one does not take the geometric-optics limit, one has the equation,, which suggests that the deflection angle could be frequency-dependent, according to Yang-Mills gravity. Nowadays, one has very accurate data in the radio frequencies ≈ 10 9 Hz with uncertainties less than 0.1%. Thus, one can test this suggestion by using frequencies ≈ 10 12 Hz, which could have a small uncertainty 0.1% due to the absence of systematic errors in the very long baseline interferometry.

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Section: Discussion Of Frequency Dependence and Testsmentioning

confidence: 99%

Section: Modified Maxwell's Equations and Eikonal Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Experiments on Frequency Dependence of the Deflection of Light in Yang-Mills Gravity

2018

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“…In the approach we describe here, we generalize that framework to include external space-time gauge groups, 11 and we call this generalized YangMills framework the Yang-Mills-Utiyama-Weyl (YMUW) framework.…”

Section: -3 Quantum Yang-mills Gravitymentioning

confidence: 99%

Front Matter

Hsu¹,

Hsu²

2013

Advanced Series on Theoretical Physical Science

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Printed in Singapore PrefaceIt began with the idea that the four-dimensional space-time for inertial frames could be formulated solely on the basis of a single postulate, i.e., the principle of relativity for physical laws. This idea, named 'taiji relativity,' was stimulated by a university term paper by one of the authors (LH) and discussed in the book A Broader View of Relativity. Although this foundational idea in and of itself was not new, it turned out that the framework of taiji relativity could also be generalized to derive explicit space-time transformations for non-inertial frames that simplified to the Lorentz transformations in the limit of zero acceleration, something never before accomplished. The taiji framework also supported the quantization of the physical fields of the strong and electroweak interactions, as well as all established conservation laws. Thus, with faith in the Yang-Mills idea and taiji relativity, it was not unreasonable to think that such a framework might also accommodate the gravitational interaction. This idea was additionally bolstered by the fact that conservation of energy and momentum is a consequence of the space-time translational symmetry of the action for a physical system, and that the energy-momentum tensor might be related to the source of the gravitational field.The idea that translational symmetry in flat space-time could be the gauge symmetry for gravitational potential fields has emerged slowly. At present, such an idea is unorthodox and is definitely a minority viewpoint, but it is an extremely intriguing one! Why should gauge symmetry in flat space-time be so successful for modeling all known interactions except gravity?At first, deriving field equations and an equation of motion for classical objects that were logically and experimentally consistent seemed an insurmountable difficulty. Enlightenment came from the observation that, in the classical limit, translational gauge symmetry requires that all wave equations (with the exception of the gravitational wave equation) reduce to Hamilton-Jacobi type equations with an effective Riemannian metric tensor. In other words, even though the underlying physical space-time is flat, all objects behave as if they were in a curved space-time.Many more years of search and research finally resulted in the discovery of a gauge invariant action within a generalized Yang-Mills framework that was consistent with all classical tests of gravity. Almost all the advantages of the YangMills idea were then available to tackle such a quantum gravity, except that the gravitational coupling constant was not dimensionless. Space-Time Symmetry and Quantum Yang-Mills GravityEinstein's theory of gravity is formulated in the more complicated framework of curved space-time and as such appears to be too general to be compatible with the quantization of fields and the conservation of energymomentum. Yang-Mills gravity represents an alternative approach that brings gravity back into the arena of gauge fields in flat space-time, in which the ...

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“…[1,2,3] The unified model can accommodate all conservation laws and quantizations of all fields. The translational gauge symmetry in flat space-time dictates a new gravity-electromagnetic coupling through the gauge covariant derivative.…”

Section: Introductionmentioning

confidence: 99%

Experimental tests on Yang-Mills gravity with accurate measurements of the deflection of light

Hsu

2013

Eur. Phys. J. Plus

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Yang–mills Gravity in Flat Space–time I: Classical Gravity With Translation Gauge Symmetry

Cited by 24 publications

References 21 publications

Experiments on Frequency Dependence of the Deflection of Light in Yang-Mills Gravity

Experiments on Frequency Dependence of the Deflection of Light in Yang-Mills Gravity

Front Matter

Experimental tests on Yang-Mills gravity with accurate measurements of the deflection of light

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