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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.

how it is stated · speculative 0.73 read the record →

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arXiv IDgr-qc/0606058 (version 1)
Pith ID5KLSCULC, Pith's permanent record of this paper and its review
CitationAharon Davidson, Ilya Gurwich. "Spontaneously Induced Gravity: From Rippled Dark Matter to Einstein Corpuscles." arXiv:gr-qc/0606058 (2006). https://pith.science/paper/5KLSCULC
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,182 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.64 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.58 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

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

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
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

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
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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