Is Noncommutative Eternal Inflation Possible?

Yi-Fu Cai; Yi Wang

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Is Noncommutative Eternal Inflation Possible?

Yi-Fu Cai, Yi Wang

High Energy Physics - Theory · Submitted 5 Jun 2007

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find that the possibility for eternal inflation's happening is greatly suppressed in this case.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.36 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.08 · mentions code or data availability 0.01.

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We investigate the condition for eternal inflation to take place in the noncommutative spacetime. We find that the possibility for eternal inflation's happening is greatly suppressed in this case. If eternal inflation cannot happen in the low energy region where the noncommutativity is very weak (the UV region), it will never happen during the whole inflationary history. Based on these conclusions, we argue that an initial condition for eternal inflation is available from the property of spacetime noncommutativity.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We investigate the condition for eternal inflation to take place in the noncommutative spacetime.	contribution 0.98	0.81	0.03	unclear 0.62
s1	We find that the possibility for eternal inflation's happening is greatly suppressed in this case.	result 1.00	0.96	0.62	asserted 1.00
s2	If eternal inflation cannot happen in the low energy region where the noncommutativity is very weak (the UV region), it will never happen during the whole inflationary history.	result 0.58	0.73	0.38	asserted 0.98
s3	Based on these conclusions, we argue that an initial condition for eternal inflation is available from the property of spacetime noncommutativity.	interpretation 1.00	0.69	0.44	asserted 0.71

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The paper

Original abstract

We investigate the condition for eternal inflation to take place in the noncommutative spacetime. We find that the possibility for eternal inflation's happening is greatly suppressed in this case. If eternal inflation cannot happen in the low energy region where the noncommutativity is very weak (the UV region), it will never happen during the whole inflationary history. Based on these conclusions, we argue that an initial condition for eternal inflation is available from the property of spacetime noncommutativity.

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10 arXiv papers cite this in 14 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 8 sentences without a confident label

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We desire to emphasize that this condition looks similar to the well-known condition for eternal inflation driven by scalar field [ref] : $δ_qϕ>δ_cϕ$ [Note that the condition for eternal inflation in case of non-commutativity or non-minimal coupling has also been discussed, see [ref] and [ref] respectively.], but the difference is that in that case fluctuations comes from the quantum behavior of the scalar field.

Entropic Force Scenarios and Eternal Inflation · Condition for Eternal Inflation: Thermal Fluctuation Analysis · 0.97

Cites it as background 5 papers

Though it is still hard to construct a realistic noncommutative inflationary model, a toy model [ref] has been extensively studied [ref] , and was especially examined with the WMAP 3-yr results [ref] .

Reexamination of inflation in noncommutative space-time after Planck results · Introduction · 0.84
The measure or the probability distribution in eternal inflation have become one of the central problems in cosmology [ref] .

Typicality, Freak Observers and the Anthropic Principle of Existence · Introduction · 0.96
The key problem of eternal inflation is how to construct a measure for the eternal inflation [ref] .

A Stochastic Measure for Eternal Inflation · Introduction · 0.89

What it cites · 11 sentences without a confident label

Builds on 1 paper

Note that here we have slightly generalized the discussion in [ref] from power law inflation into a generally quasi-exponential inflationary scenario.

Noncommutative Spacetime, Stringy Spacetime Uncertainty Principle, and Density Fluctuations · Introduction · 1.00

Compares with 1 paper

This saturation is somewhat similar to that inflationary fluctuations described by the common quantum field theory suffers from the transPlanckian problems [ref] .

The Trans-Planckian Problem of Inflationary Cosmology · Conclusion and discussions · 0.97

Cites as support 1 paper

So if we can observe the noncommutativity in future CMB experiments [ref] , then eternal inflation is not expected to have happened.

Probing Noncommutativity with Inflationary Gravitational Waves · Fluctuations generated outside the horizon · 0.96

Cites as background 16 papers

There have been a lot of attempts to apply this uncertainty relation into inflationary cosmology, dubbed noncommutative inflation, see Ref. [ref] .

Remarks on Inflation and Noncommutative Geometry · Introduction · 0.97
There have been a lot of attempts to apply this uncertainty relation into inflationary cosmology, dubbed noncommutative inflation, see Ref. [ref] .

Cosmological perturbations and short distance physics from Noncommutative Geometry · Introduction · 0.97
There have been a lot of attempts to apply this uncertainty relation into inflationary cosmology, dubbed noncommutative inflation, see Ref. [ref] .

Noncommutative Spacetime, Stringy Spacetime Uncertainty Principle, and Density Fluctuations · Introduction · 0.97

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