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Using two dimensions to get at an understanding of minimum length is not limited to what I have been doing. “Strings” uses ‘Limiting Curvature Construction’. Since, quantum black holes are a possibilities at CERN then these approaches need to be revisited and updated.

http://br.arxiv.org/PS_cache/gr-qc/pdf/9405/9405004v2.pdf

Singularity-Free Two Dimensional Cosmologies

R. Moessner and M. Trodden

03 Nov 1994

http://arxiv.org/PS_cache/hep-th/pdf/9305/9305111v1.pdf We present a class of theories of two dimensional gravity which admits homogeneous and isotropic solutions that are nonsingular and asymptotically approach a FRW matter dominated universe at late times. These models are generalizations of two dimensional dilaton gravity and both vacuum solutions and those including conformally coupled matter are investigated. In each case our construction leads to an inflationary stage driven by the gravitational sector. Our work comprises a simple example of the ‘Nonsingular Universe’ constructions of ref.

A Nonsingular Two Dimensional Black Hole

M. Trodden, V.F. Mukhanov, R.H. Brandenberger

22 May 1993

--------------- Abstract

We construct a model of gravity in 1+1 spacetime dimensions in which the

solutions approach the Schwarzschild metric at large r and de Sitter space

far inside the horizon. Our model may be viewed as a two dimensional application of the ‘Limiting Curvature Construction’ of reference[6].

http://www.citebase.org/fulltext?format=application%2Fpdf&identifier=oai%3AarXiv.org%3Agr-qc%2F9303001 [Broken]

A COSMOLOGICAL THEORY WITHOUT SINGULARITIES

R. Brandenberger , V. Mukhanov and A. Sornborger

01 march 1993

-------------------- Abstract

A theory of gravitation is constructed in which all homogeneous and isotropic solutions are nonsingular, and in which all curvature invariants are bounded. All solutions for which curvature invariants approach their limiting values approach de Sitter space. The action for this theory is obtained by a higher derivative modification of Einstein’s theory. We expect that our model can easily be generalized to solve the singularity problem also for anisotropic cosmologies.

http://www.citebase.org/fulltext?format=application%2Fpdf&identifier=oai%3AarXiv.org%3Ahep-th%2F0210016 [Broken]

Hawking radiation of nonsingular black holes in two dimensions

D. A. Easson

19 Feb 2003/pub 03 May 2006

If you have read the above papers you will note that they lack a 2d structure, which I have supplied from first principle. In this letter we study the process of Hawking radiation of a black hole assuming the existence of a limiting physical curvature scale. The particular model is constructed using the Limiting Curvature Hypothesis (LCH) and in the context of two-dimensional dilaton gravity. The black hole solution

exhibits properties of the standard Schwarzschild solution at large values of the radial coordinate.

However, near the center, the black hole is nonsingular and the metric becomes that of de Sitter spacetime. The Hawking temperature is calculated using the method of complex paths. We find that such black holes radiate eternally and never completely evaporate.The final state is an eternally

radiating relic, near the fundamental scale,which should make a viable dark matter candidate.We briefly comment on the black hole information loss problem and the production of such black holes in collider experiments.

]Our classical intuition concerning the creation of black holes in the lab may require refinement. (This is indicated by the above result). The resulting miniature black holes could play an important role as dark matter candidates. The large interior core contains the missing information which may be accessed only by travelling into the black hole. In [18] it was argued that the size of the universe inside the black hole is infinite.

If you apply a “sharp razor” you will used the QMLS as an answer. See my blog.

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http://www.citebase.org/fulltext?format=application%2Fpdf&identifier=oai%3AarXiv.org%3Aastro-ph%2F0608034 [Broken]

The Accelerating Universe and a Limiting Curvature Proposal

Damien A. Easson

01 Aug 2006

Yes, It’s called QMLS. Whatever is responsible for the current acceleration may arise from some completely new physical principle. This is the possibility we consider in this paper. Our goal is to construct a toy model that represents a late-time accelerating Universe using a new, possibly fundamental, principle. As our guiding principle, we hypothesize the existence of a minimal curvature scale in gravity.

…. we remain optimistic that an experimentally and theoretically viable model based on the minimal curvature construction can be discovered.

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jal

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# ‘Limiting Curvature Construction’-minimum length

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