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A Finite Landscape?

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arxiv hep-th/0606212 v1 pith:UE2SHLEF submitted 2006-06-21 hep-th

Bobby S Acharya , Michael R Douglas This is my paper · ORCID
classification hep-th
keywords finitenumbervacuaanalysisapplyingconsistentevidenceexperiments
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present evidence that the number of string/$M$ theory vacua consistent with experiments is a finite number. We do this both by explicit analysis of infinite sequences of vacua and by applying various mathematical finiteness theorems.

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Cited by 10 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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    Generalizes the Cattani-Deligne-Kaplan finiteness theorem from Hodge classes to self-dual classes via definability of period mappings in the o-minimal structure R_an,exp.

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    physics.soc-ph 2026-03 unverdicted novelty 6.0 of 10

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    The Picard rank of any rational base surface of an elliptic Calabi-Yau 3-fold (with the relevant 1/6-lc condition) is at most 568.

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    An enumeration algorithm for Type IIB flux vacua yields millions of explicit vacua in a two-modulus Calabi-Yau, exposing deviations from statistical predictions and a vacuum with |W0| about 5.5 x 10^-5.

  8. How to Falsify String Theory at a Collider

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Detection of an isolated SU(2)_L n-plet with n≥5 would falsify known string constructions; current LHC limits exclude such states up to 400-735 GeV depending on n.

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    Finiteness of quantum gravity amplitudes implies moduli spaces have at most Euclidean volume growth, which in turn implies duality groups act semisimply on charge lattices.

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