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addClaim

Scale Contraction and the Universal Ratio

Abstract

We propose that the transmission ratio λ ≈ 0.22 governs cross-scale structure in physics. The hierarchy problem (10⁴⁰), cosmological constant mismatch (10¹²⁰), and neutrino mass suppression (10⁶) may be geometric rather than fine-tuned: λⁿ for n scale boundaries. The Cabibbo angle (sin θ_C ≈ 0.22), fine-structure constant (α ≈ 1/137), and generation mass ratios provide independent support. Three visible particle generations reflect the λ budget before the visibility threshold. This extension depends on validation of the core complementarity relation.

Keywords

self-similarity, Mathematical physics, geometric constraint, Quantum physics, Pareto efficiency, scale contraction, foundations of physics, decoherence, Theoretical physics, universal ratio, Caprazli decomposition, complementarity

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green