mass_ticks
plain-language theorem explainer
The definition fixes the integer count of mass accumulation ticks at 5 inside each eight-tick recognition cycle. Astrophysicists deriving stellar mass-to-light ratios from recognition cost differentials cite this constant to fix the base scaling tier via the 5:3 partition. The assignment is a direct constant declaration with no lemmas or reduction steps.
Claim. Let $n_m$ denote the number of ticks allocated to mass accumulation within one eight-tick recognition cycle. Then $n_m = 5$.
background
The module derives stellar mass-to-light ratios from the recognition cost differential between photon emission and mass storage during collapse. The cost function is the unique convex J(x) = ½(x + 1/x) - 1, and the eight-tick octave (T7) partitions events into mass and light phases whose ratio sets the integer exponent on the phi-ladder. The module states that M/L falls in {phi^n : n in [0,3]} and matches observed stellar values near phi^1.
proof idea
Direct constant definition that assigns the natural number 5. No lemmas are invoked; the value encodes the mass-phase length stated in the module documentation for the 5:3 partition.
why it matters
This supplies the mass tick count used by the downstream theorem tick_partition (mass_ticks + light_ticks = total_ticks) and the definition tick_ratio = mass_ticks / light_ticks. It implements the eight-tick structure (T7) to anchor the base M/L scaling in the stellar assembly derivation, yielding the phi-ladder result that reproduces observed stellar M/L ratios.
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