module module moderate

`IndisputableMonolith.Experimental.UltraDiffuseGalaxies`

The UltraDiffuseGalaxies module applies Recognition Science to ultra-diffuse galaxies by defining DM-to-stellar ratios for Dragonfly 44 (~50-100) and DF2 along with coherence-dependent properties. It instantiates the ILG time-kernel for observational tests of modified gravity at galactic scales. Researchers studying RRF gradient costs would cite these definitions to compare high-coherence DM-rich and low-coherence DM-poor cases. The module is purely definitional with no proofs.

claimDragonfly 44 satisfies $r_{DM} = M_{DM}/M_* $ with $50 < r_{DM} < 100$, while NGC1052-DF2 has lower ratio; both are parameterized by substrate coherence variation, surface brightness, and size derived from recognition lag $C_{lag} = ϕ^{-5}$ and fine-structure exponent $α$.

background

This experimental module imports the RS time quantum τ₀ = 1 tick from Constants and the ILG Time-Kernel Derivation. The upstream theorem states that the time-kernel $w_t$ is uniquely determined by the recognition lag $C_{lag} = ϕ^{-5}$ and α, formalizing the connection between the RRF gradient cost and effective modified gravity at large scales. It introduces sibling definitions for df44_dm_ratio, udg_surface_brightness, udg_size, coherence_variation, high_coherence_dm_rich, and low_coherence_dm_poor that distinguish DM content via substrate coherence.

proof idea

This is a definition module, no proofs. It structures the content as a collection of declarations that directly instantiate the ILG derivation for specific observed galaxies, assigning numerical values and qualitative distinctions without further derivation steps.

why it matters in Recognition Science

The module supplies concrete observational anchors for the ILG derivation, linking the recognition lag and RRF cost to real ultra-diffuse galaxies. It supports tests of variable DM ratios based on coherence rather than a universal value, feeding experimental validation of the framework at galactic scales without downstream declarations yet.

scope and limits

Does not derive new gravitational equations or time-kernels.
Does not include dynamical simulations or rotation curve fits.
Does not claim the listed ratios hold for all galaxies.
Does not quantify uncertainties or error propagation on the values.

depends on (2)

Lean names referenced from this declaration's body.

IndisputableMonolith.Constants module_import
IndisputableMonolith.Gravity.ILGDerivation module_import

declarations in this module (25)

def df44_dm_ratio L68
def df2_dm_ratio L72
def udg_surface_brightness L76
def udg_size L80
theorem udg_diversity_real L84
theorem dragonfly44_dm_rich L90
theorem ngc1052df2_dm_poor L96
def substrate_coherence_varies L104
def high_coherence_dm_rich L108
def low_coherence_dm_poor L112
theorem coherence_variation L116
theorem no_universal_ratio L120
def ilg_fit_quality L128
theorem ilg_better_than_lcdm L132
theorem ilg_sufficient L136
theorem ilg_universal L142
def formation_in_low_density L148
def udg_density_contrast L152
theorem low_density_environment L156
theorem environment_affects_coherence L162
theorem lcdm_challenged L168
theorem standard_models_challenged L172
theorem rs_natural_explanation L178
theorem no_fine_tuning L183
def ea011_certificate L207