Superasymmetry (SASY): A Single-Constant Coupling Framework, Its Dimensional Ladder, and a Candidate Law of Substrate Coupling

Abstract. A single relation with one constant and no free parameters, α(d, β) = 1 + d/(d + β), β = 6/23, describes the geometric attractor that a wide range of natural substrates converge toward. We propose it as a candidate law of substrate coupling. The relation is a Möbius transform whose asymmetry content 2 − α = 6/(23d + 6) stamps β at two structurally distinct positions; evaluated past its first closure it generalizes to a self-similar floor ladder α_total = n + d/(d + β), and composition across nested scales telescopes — interior residuals cancel, boundary residuals survive. The candidate-law claim rests on public, reproducible evidence: an internal coverage exercise (651 operator-observed parameters across twelve domains, decomposed to a fixed base set at 100% numerical resolution) and an external contact point — the framework's β-independent limit α → 2 coincides with Taylor's Law's established empirical attractor b ≈ 2, with a 600-estimate ecological compilation landing the median at 1.944, within 0.005 of the ladder value α(4, β) = 1.939, a value on record before the measurement. The invariant α(3, β) = 48/25 = 1.920 recurs across substrates spanning ~20 orders of magnitude. Elevation to an unqualified law is gated on independent replication, which the public-data basis puts within anyone's reach. The framework is a total account of the coupling foundation, explicitly not a universal generator of all phenomena; falsifiable predictions are stated and one clean failure suffices. We propose; we do not prove. Author: James E. Dunn — Independent Researcher, Hydrogen Lifecycle Research ProgrammeORCID: https://orcid.org/0009-0005-2679-6574Corpus (author search): https://zenodo.org/search?q=creators.orcid:0009-0005-2679-6574SciX (NASA discovery): https://scixplorer.org/search/q=orcid%3A0009-0005-2679-6574ADS (Harvard-CfA): https://ui.adsabs.harvard.edu/search/q=orcid%3A0009-0005-2679-6574License: CC BY 4.0 International