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Spontaneously Induced Gravity: From Rippled Dark Matter to Einstein Corpuscles
General Relativity and Quantum Cosmology · Submitted 13 Jun 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Suppose General Relativity, provocatively governed by a dimensional coupling constant, is a spontaneously induced theory of Gravity.
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The abstract, sentence by sentence
Suppose General Relativity, provocatively governed by a dimensional coupling constant, is a spontaneously induced theory of Gravity. Invoking Zee's mechanism, we represent the reciprocal Newton constant by a Brans Dicke scalar field, and let it damped oscillating towards its General Relativistic VEV. The corresponding cosmological evolution, in the Jordan frame, averagely resembles the familiar dark radiation -> dark matter -> dark energy domination sequence. The fingerprints of the theory are fine ripples, hopefully testable, in the FRW scale factor; they die away at the strict General Relativity limit. Also derived is the spherically symmetric static configuration associated with spontaneously induced General Relativity. At the stiff scalar potential limit, the exterior Schwarzschild solution is recovered. However, due to level crossing at the would have been horizon, it now connects with a novel dark core characterized by a locally varying Newton constant. The theory further predicts light Einstein-style gravitational corpuscles (elementary particles?) which become point-like at the GR-limit.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Suppose General Relativity, provocatively governed by a dimensional coupling constant, is a spontaneously induced theory of Gravity. | contribution 0.67 | 0.13 | 0.19 | speculative 0.73 |
| s1 | Invoking Zee's mechanism, we represent the reciprocal Newton constant by a Brans Dicke scalar field, and let it damped oscillating towards its General Relativistic VEV. | method 0.93 | 0.82 | 0.07 | asserted 0.87 |
| s2 | The corresponding cosmological evolution, in the Jordan frame, averagely resembles the familiar dark radiation -> dark matter -> dark energy domination sequence. | result 0.99 | 0.77 | 0.18 | asserted 0.91 |
| s3 | The fingerprints of the theory are fine ripples, hopefully testable, in the FRW scale factor; they die away at the strict General Relativity limit. | result 0.88 | 0.76 | 0.18 | asserted 0.51 |
| s4 | Also derived is the spherically symmetric static configuration associated with spontaneously induced General Relativity. | contribution 0.54 | 0.92 | 0.07 | asserted 1.00 |
| s5 | At the stiff scalar potential limit, the exterior Schwarzschild solution is recovered. | result 1.00 | 0.82 | 0.07 | asserted 1.00 |
| s6 | However, due to level crossing at the would have been horizon, it now connects with a novel dark core characterized by a locally varying Newton constant. | result 0.99 | 0.83 | 0.13 | asserted 0.99 |
| s7 | The theory further predicts light Einstein-style gravitational corpuscles (elementary particles?) which become point-like at the GR-limit. | result 0.95 | 0.79 | 0.13 | asserted 0.77 |
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Original abstract
Suppose General Relativity, provocatively governed by a dimensional coupling constant, is a spontaneously induced theory of Gravity. Invoking Zee's mechanism, we represent the reciprocal Newton constant by a Brans Dicke scalar field, and let it damped oscillating towards its General Relativistic VEV. The corresponding cosmological evolution, in the Jordan frame, averagely resembles the familiar dark radiation -> dark matter -> dark energy domination sequence. The fingerprints of the theory are fine ripples, hopefully testable, in the FRW scale factor; they die away at the strict General Relativity limit. Also derived is the spherically symmetric static configuration associated with spontaneously induced General Relativity. At the stiff scalar potential limit, the exterior Schwarzschild solution is recovered. However, due to level crossing at the would have been horizon, it now connects with a novel dark core characterized by a locally varying Newton constant. The theory further predicts light Einstein-style gravitational corpuscles (elementary particles?) which become point-like at the GR-limit.
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