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Conformal invariance and particle aspects in general relativity
General Relativity and Quantum Cosmology · Submitted 16 Feb 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this context we show that a local change of the preferred conformal frame results in a Hamilton-Jacobi equation describing a particle with adjustable mass.
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The abstract, sentence by sentence
We study the breakdown of conformal symmetry in a conformally invariant gravitational model. The symmetry breaking is introduced by defining a preferred conformal frame in terms of the large scale characteristics of the universe. In this context we show that a local change of the preferred conformal frame results in a Hamilton-Jacobi equation describing a particle with adjustable mass. In this equation the dynamical characteristics of the particle substantially depends on the applied conformal factor and local geometry. Relevant interpretations of the results are also discussed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the breakdown of conformal symmetry in a conformally invariant gravitational model. | contribution 0.95 | 0.90 | 0.07 | asserted 0.66 |
| s1 | The symmetry breaking is introduced by defining a preferred conformal frame in terms of the large scale characteristics of the universe. | method 0.84 | 0.77 | 0.07 | asserted 0.99 |
| s2 | In this context we show that a local change of the preferred conformal frame results in a Hamilton-Jacobi equation describing a particle with adjustable mass. | result 0.93 | 0.93 | 0.59 | asserted 1.00 |
| s3 | In this equation the dynamical characteristics of the particle substantially depends on the applied conformal factor and local geometry. | result 0.93 | 0.79 | 0.20 | asserted 1.00 |
| s4 | Relevant interpretations of the results are also discussed. | interpretation 0.99 | 0.57 | 0.03 | unclear 0.79 |
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Original abstract
We study the breakdown of conformal symmetry in a conformally invariant gravitational model. The symmetry breaking is introduced by defining a preferred conformal frame in terms of the large scale characteristics of the universe. In this context we show that a local change of the preferred conformal frame results in a Hamilton-Jacobi equation describing a particle with adjustable mass. In this equation the dynamical characteristics of the particle substantially depends on the applied conformal factor and local geometry. Relevant interpretations of the results are also discussed.
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