Astrophysics Chandrasekhar Mass Structure Chandrasekhar Mass From Ledger

The mass-to-light bound

The Chandrasekhar mass is the maximum mass a white dwarf star can hold before gravity overwhelms electron pressure and forces collapse. In the Recognition Science framework, the declaration chandrasekhar_mass_from_ledger states a structural fact: the derived mass-to-light ratio ml_derived lies strictly between 0.5 and 5. That is not a measurement of any particular star; it is a proved theorem about the framework's own mass ladder, which assigns every physical scale a place on a phi-power sequence.

The theorem chandrasekhar_mass_structure proves this bound from a single hypothesis: the mass anchor sits inside the observed range. The proof is short and direct. From the definition, the lower bound 0.5 < ml_derived and the upper bound ml_derived < 5 each follow as separate theorems, chandrasekhar_implies_ml_lower and chandrasekhar_implies_ml_upper. The framework's machine-checked library of formal theorems confirms both inequalities hold.

What the declaration does not do is compute the empirical Chandrasekhar mass in kilograms or solar masses. It does not derive the value 1.44 solar masses from first principles. It establishes only that the framework's derived mass-to-light parameter falls in a finite interval. The physical bridge from that parameter to the observed stellar mass limit remains open in the framework; this declaration is a constraint, not a derivation of the full astrophysical quantity.

/-- Structural content: mass-scale anchors are positive and finite in RS ladder range. -/
def chandrasekhar_mass_from_ledger : Prop := 0.5 < ml_derived ∧ ml_derived < 5

theorem chandrasekhar_mass_structure : chandrasekhar_mass_from_ledger :=
  ml_in_observed_range

/-- Chandrasekhar-mass structure implies lower mass-to-light bound. -/
theorem chandrasekhar_implies_ml_lower (h : chandrasekhar_mass_from_ledger) :
    0.5 < ml_derived :=
  h.1

/-- Chandrasekhar-mass structure implies upper mass-to-light bound. -/
theorem chandrasekhar_implies_ml_upper (h : chandrasekhar_mass_from_ledger) :
    ml_derived < 5 :=
  h.2

What this page does not claim

This declaration does not compute the empirical Chandrasekhar mass of 1.44 solar masses. It does not derive the mass-to-light ratio from the framework's forcing chain; the observed range is a hypothesis. The physical bridge from ml_derived to the stellar collapse limit is not proved here.

Verify this page

Every tagged claim above names its theorem. To check one yourself rather than trust this page, elaborate the source module with Lean 4 and audit its axiom basis:

$ lake env lean IndisputableMonolith/Astrophysics/ChandrasekharMassStructure.lean
expected axiom basis: [propext, Classical.choice, Quot.sound] (the Lean kernel's standard three; no RS-specific axioms)

A page whose claims cannot be reproduced this way does not ship. In production, every anchor links to the exact declaration in the public source release, and this block carries the build receipt for the page itself.

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