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Implications of Minimal Length Scale on the Statistical Mechanics of Ideal Gas
High Energy Physics - Theory · Submitted 15 Jan 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Although the induced modifications are important only in quantum gravity era, possible experimental manifestation of these effects may provides strong support for underlying quantum gravity proposal.
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The abstract, sentence by sentence
Several alternative approaches to quantum gravity problem suggest the modification of the {\it fundamental volume $\omega_{0}$} of the accessible phase space for representative points. This modified fundamental volume has a novel momentum dependence. In this paper, we study the effects of this modification on the thermodynamics of an ideal gas within the microcanonical ensemble and using the generalized uncertainty principle(GUP). Although the induced modifications are important only in quantum gravity era, possible experimental manifestation of these effects may provides strong support for underlying quantum gravity proposal.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Several alternative approaches to quantum gravity problem suggest the modification of the {\it fundamental volume $\omega_{0}$} of the accessible phase space for representative points. | background 1.00 | 0.04 | 0.04 | hedged possibility 0.91 |
| s1 | This modified fundamental volume has a novel momentum dependence. | background 0.98 | 0.14 | 0.04 | asserted 1.00 |
| s2 | In this paper, we study the effects of this modification on the thermodynamics of an ideal gas within the microcanonical ensemble and using the generalized uncertainty principle(GUP). | contribution 0.93 | 0.86 | 0.07 | asserted 0.90 |
| s3 | Although the induced modifications are important only in quantum gravity era, possible experimental manifestation of these effects may provides strong support for underlying quantum gravity proposal. | interpretation 0.98 | 0.10 | 0.30 | hedged possibility 1.00 |
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The paper
Original abstract
Several alternative approaches to quantum gravity problem suggest the modification of the {\it fundamental volume $\omega_{0}$} of the accessible phase space for representative points. This modified fundamental volume has a novel momentum dependence. In this paper, we study the effects of this modification on the thermodynamics of an ideal gas within the microcanonical ensemble and using the generalized uncertainty principle(GUP). Although the induced modifications are important only in quantum gravity era, possible experimental manifestation of these effects may provides strong support for underlying quantum gravity proposal.
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4 arXiv papers cite this in 5 sentences
Papers citing it · 3 sentences without a confident label
Compares with it 1 paper
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These results resemble those obtained from GUP [ref] in the sense they correspond to quadratic corrections although they feature opposite tendencies [ref] .
Statistical Thermodynamics of Polymer Quantum Systems · Discussion · 1.00
Cites it as background 1 paper
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The microcanonical approach to ideal gas was considered in [ref] .
Statistical physics in deformed spaces with minimal length · Introduction · 0.96
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