Pith. sign in

how is matter created

Big AI job. Grok 4.3 reads the canon and writes a Lean-grounded derivation; usually 20 seconds to 2 minutes. Your answer will appear below.
confidence: moderate in recognition cached

In the supplied canon, net matter creation is addressed via baryogenesis arising from the 8-tick phase structure. The CP transformation on ticks is defined as cpTransformTick(k) = (8 - k) mod 8. This is not a symmetry of the J-cost, as established by cp_not_symmetry. The resulting CP violation parameter is ε_CP ≈ 10^{-3}. An additional dilution factor of ≈10^{-7} yields the observed baryon-to-photon ratio η ≈ 10^{-10}. The precise RS prediction is η ≈ φ^{-44}, proved to lie in (5.5×10^{-10}, 7.5×10^{-10}) by phi_power_matches_eta using the Fibonacci identity phi_pow_fib_succ and explicit bounds phi_pow_44_gt_1pt5e9, phi_pow_44_lt_1pt6e9. The mechanism satisfies all Sakharov conditions (B violation, C/CP violation, out-of-equilibrium) as stated in rs_baryogenesis. Visible-sector matter corresponds to even 8-tick phases while dark matter (ledger shadows) occupies odd phases, per odd_phases_dark and dm_ratio_phi_connection linking the density ratio to φ^3 + 1.

cited recognition theorems

outside recognition

Aspects Recognition does not yet address:

  • Absolute origin of matter from the Law of Logic or forcing chain (T0-T8)
  • Recognition-forced ledger entries as the primitive source of all matter
  • Explicit derivation of particle masses or fields from J-cost functional equation

recognition modules consulted

The Recognition library is at github.com/jonwashburn/shape-of-logic. The model is restricted to the supplied Lean source and instructed not to invent theorem names. Treat output as a starting point, not a verified proof.