The LR-SR bridge equivalence and quantitative Sak predictions for percolation

We prove, unconditionally and for all dimensions d, that Hutchcroft's exact long-range (LR) percolation exponents (\eta = 2 - \alpha, \delta = (d+\alpha)/(d-\alpha), etc.) are algebraically identical to the bridge identity $(d-2+\eta)(\delt Key results: 3 theorems / propositions. Maturity: Short Draft. Part of The Latent research program. Related papers in this program: Universal.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-04-24
DOI
https://doi.org/10.5281/zenodo.19734158
Primary Topic
Stochastic processes and statistical mechanics
Type
article
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article

The LR-SR bridge equivalence and quantitative Sak predictions for percolation

Tamás Nagy
Zenodo (CERN European Organization for Nuclear Research)
Stochastic processes and statistical mechanics
article

The LR-SR bridge equivalence and quantitative Sak predictions for percolation

Tamás Nagy
article en

Abstract

We prove, unconditionally and for all dimensions d, that Hutchcroft's exact long-range (LR) percolation exponents (\eta = 2 - \alpha, \delta = (d+\alpha)/(d-\alpha), etc.) are algebraically identical to the bridge identity $(d-2+\eta)(\delt Key results: 3 theorems / propositions. Maturity: Short Draft. Part of The Latent research program. Related papers in this program: Universal.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Openalex Percentile: Top 4%
Stochastic processes and statistical mechanics
DOIOpen Access PDFOpenAlex
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