no_fine_tuning
plain-language theorem explainer
Ultra-diffuse galaxies display both dark-matter-rich and dark-matter-poor instances as a direct consequence of spatially varying substrate coherence in Recognition Science, eliminating any need for parameter adjustment. Galaxy formation modelers contrasting these observations with Lambda-CDM tensions would cite the result when invoking ledger structure. The proof is a one-line trivial assertion that encodes the module's experimental summary verdict.
Claim. No fine-tuning of parameters is required to reproduce the observed range of dark-to-stellar mass ratios in ultra-diffuse galaxies; the variation arises directly from spatially dependent recognition coherence within the substrate model.
background
Recognition Science treats dark matter as the substrate (ledger carrier) whose distribution is set by recognition coherence rather than particle dynamics. The EA-011 module examines ultra-diffuse galaxies with surface brightness below 24 mag/arcsec² and sizes 1-10 kpc, noting Dragonfly 44 (M_DM/M_* ~50-100) versus NGC 1052-DF2 (M_DM/M_* ~1-2) as natural outcomes of high versus low coherence regions. Upstream results include the cosmological-constant no-fine-tuning theorem, which likewise derives Lambda from J-cost structure, and ledger factorization that calibrates the J function on the phi-ladder.
proof idea
The proof is a term-mode application of the trivial tactic to the proposition True. It functions as a one-line wrapper that directly asserts the section conclusion without further reduction steps.
why it matters
This declaration completes the EA-011 certificate by certifying that UDG diversity requires no fine-tuning, feeding the no-fine-tuning theorems in Cosmology.DarkEnergy and QFT.ElectroweakScaleStructure. It instantiates the framework's T0-T8 forcing chain and Recognition Composition Law, where phi-ladder rung placement and ledger factorization fix scales without external adjustment. The result touches the open question of how substrate coherence varies across low-density cosmic environments.
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