IndisputableMonolith.Astrophysics.StellarAssembly
StellarAssembly supplies the base recognition cost J_bit = ln φ along with StellarConfig and tick-partition helpers that weight stellar collapse by J-cost differences. Astrophysicists deriving mass-to-light ratios from recognition principles cite these definitions to eliminate external calibration. The module consists of direct definitions grounded in the golden-ratio lemmas imported from PhiSupport.
claim$J_{ m bit} = \\ln \\phi$, StellarConfig a record of recognition parameters, ml_from_cost_diff the map from cost differences to mass-to-light ratio, and tick_partition the decomposition into mass_ticks and light_ticks on the phi-ladder.
background
Recognition Science fixes the fundamental time quantum τ₀ = 1 tick. The imported PhiSupport.Lemmas establish φ² = φ + 1 and the fixed-point identity φ = 1 + 1/φ. This module defines the elementary ledger bit cost J_bit = ln φ, which quantifies the recognition cost per binary decision.
StellarConfig packages the parameters for recognition-weighted stellar assembly. Functions ml_from_cost_diff, mass_ticks, light_ticks and total_ticks implement the cost-weighted partition of stellar quantities onto the phi-ladder.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
These definitions supply the recognition-weighted collapse machinery that feeds the three parallel derivations of the stellar mass-to-light ratio in the parent Astrophysics module and its MassToLight submodule. They close the last external calibration step by grounding M/L directly in J-cost and phi-tiers.
scope and limits
- Does not derive numerical values for M/L ratios.
- Does not address nucleosynthesis tier structure.
- Does not treat observability limits from l_rec or τ₀.
- Does not import or use the full UnifiedForcingChain.
used by (4)
depends on (3)
declarations in this module (21)
-
def
J_bit -
lemma
J_bit_pos -
def
J -
lemma
J_unit_zero -
lemma
J_nonneg -
structure
StellarConfig -
def
ml_from_cost_diff -
theorem
ml_is_phi_power -
def
mass_ticks -
def
light_ticks -
def
total_ticks -
theorem
tick_partition -
def
tick_ratio -
theorem
tick_ratio_value -
def
effective_tier -
def
characteristic_tier_scaffold -
def
ml_stellar -
theorem
ml_stellar_value -
theorem
ml_is_phi_power' -
def
H_StellarML -
theorem
ml_falsifiable