RECORD
Generally covariant model of a scalar field with high frequency dispersion and the cosmological horizon problem
High Energy Physics - Theory · Submitted 8 Sep 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that a superluminal dispersion relation can solve the horizon problem via superluminal equilibration, however it cannot do so while remaining outside the Planck regime unless the dispersion relation is artificially chosen to have a rather steep dependence on wavevector.
The compiled record
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.
Open the compiled record
The abstract, sentence by sentence
Short distance structure of spacetime may show up in the form of high freqency dispersion. Although such dispersion is not locally Lorentz invariant, we show in a scalar field model how it can nevertheless be incorporated into a generally covariant metric theory of gravity provided the locally preferred frame is dynamical. We evaluate the resulting energy-momentum tensor and compute its expectation value for a quantum field in a thermal state. The equation of state differs at high temperatures from the usual one, but not by enough to impact the problems of a hot big bang cosmology. We show that a superluminal dispersion relation can solve the horizon problem via superluminal equilibration, however it cannot do so while remaining outside the Planck regime unless the dispersion relation is artificially chosen to have a rather steep dependence on wavevector.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Short distance structure of spacetime may show up in the form of high freqency dispersion. | background 1.00 | 0.09 | 0.03 | hedged possibility 1.00 |
| s1 | Although such dispersion is not locally Lorentz invariant, we show in a scalar field model how it can nevertheless be incorporated into a generally covariant metric theory of gravity provided the locally preferred frame is dynamical. | contribution 0.93 | 0.93 | 0.25 | asserted 1.00 |
| s2 | We evaluate the resulting energy-momentum tensor and compute its expectation value for a quantum field in a thermal state. | method 0.86 | 0.96 | 0.04 | asserted 0.96 |
| s3 | The equation of state differs at high temperatures from the usual one, but not by enough to impact the problems of a hot big bang cosmology. | result 0.84 | 0.91 | 0.12 | asserted 1.00 |
| s4 | We show that a superluminal dispersion relation can solve the horizon problem via superluminal equilibration, however it cannot do so while remaining outside the Planck regime unless the dispersion relation is artificially chosen to have a rather steep dependence on wavevector. | result 0.90 | 0.93 | 0.63 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
Short distance structure of spacetime may show up in the form of high freqency dispersion. Although such dispersion is not locally Lorentz invariant, we show in a scalar field model how it can nevertheless be incorporated into a generally covariant metric theory of gravity provided the locally preferred frame is dynamical. We evaluate the resulting energy-momentum tensor and compute its expectation value for a quantum field in a thermal state. The equation of state differs at high temperatures from the usual one, but not by enough to impact the problems of a hot big bang cosmology. We show that a superluminal dispersion relation can solve the horizon problem via superluminal equilibration, however it cannot do so while remaining outside the Planck regime unless the dispersion relation is artificially chosen to have a rather steep dependence on wavevector.
Human review
References
How the literature uses it
7 arXiv papers cite this in 8 sentences
Papers citing it · 4 sentences without a confident label
Cites it as background 4 papers
-
The modified dispersion in inflation was proposed by Ref. [ref] , various frameworks of quantum gravity will lead to this kind of modified dispersion relation [ref] , meanwhile it has many phenomenological implications [ref] , such as string cosmology, DBI inflation, loop gravitational cosmology $e.t.c$.
Inflationary Krylov complexity · introduction · 0.94
-
Originally proposed for inflation in [ref] , MDRs naturally emerge from various quantum gravity frameworks [ref] and carry rich phenomenological implications for string cosmology, DBI inflation, and loop quantum gravity cosmology [ref] .
Circuit and Krylov complexity of primordial perturbations of modified gravity in inflation · introduction · 0.93
-
A modified dispersion relation can also be derived in the models of modified gravity, such as trans-Planckian physics [ref] , noncommutative field approach [ref] , loop quantum gravity [ref] , Lorentz-violating models [ref] , and so on.
Primordial perturbation with a modified dispersion relation · Introduction · 0.86
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.