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Probing the cosmological singularity with a particle
General Relativity and Quantum Cosmology · Submitted 21 Jun 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It indicates the existence of a deterministic link between the propagation of a particle before and after crossing the singularity.
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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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The abstract, sentence by sentence
We examine the transition of a particle across the singularity of the compactified Milne (CM) space. Quantization of the phase space of a particle and testing the quantum stability of its dynamics are consistent to one another. One type of transition of a quantum particle is described by a quantum state that is continuous at the singularity. It indicates the existence of a deterministic link between the propagation of a particle before and after crossing the singularity. Regularization of the CM space leads to the dynamics similar to the dynamics in the de Sitter space. The CM space is a promising model to describe the cosmological singularity deserving further investigation by making use of strings and membranes.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We examine the transition of a particle across the singularity of the compactified Milne (CM) space. | contribution 0.99 | 0.87 | 0.06 | asserted 0.74 |
| s1 | Quantization of the phase space of a particle and testing the quantum stability of its dynamics are consistent to one another. | result 0.81 | 0.63 | 0.13 | asserted 0.93 |
| s2 | One type of transition of a quantum particle is described by a quantum state that is continuous at the singularity. | result 0.97 | 0.73 | 0.19 | asserted 0.92 |
| s3 | It indicates the existence of a deterministic link between the propagation of a particle before and after crossing the singularity. | interpretation 0.96 | 0.75 | 0.42 | hedged possibility 0.97 |
| s4 | Regularization of the CM space leads to the dynamics similar to the dynamics in the de Sitter space. | result 0.95 | 0.67 | 0.12 | asserted 0.99 |
| s5 | The CM space is a promising model to describe the cosmological singularity deserving further investigation by making use of strings and membranes. | future work 0.99 | 0.19 | 0.34 | hedged possibility 0.55 |
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The paper
Original abstract
We examine the transition of a particle across the singularity of the compactified Milne (CM) space. Quantization of the phase space of a particle and testing the quantum stability of its dynamics are consistent to one another. One type of transition of a quantum particle is described by a quantum state that is continuous at the singularity. It indicates the existence of a deterministic link between the propagation of a particle before and after crossing the singularity. Regularization of the CM space leads to the dynamics similar to the dynamics in the de Sitter space. The CM space is a promising model to describe the cosmological singularity deserving further investigation by making use of strings and membranes.
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How the literature uses it
5 arXiv papers cite this in 8 sentences
Papers citing it · 7 sentences without a confident label
Compares with it 1 paper
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There are no ambiguities in the dynamics near the singularity as is characteristic of particle dynamics [ref] .
Excited states of a string in a time dependent orbifold · Conclusions · 0.93
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