v1.2.0 — Dynamic Prime Generation Gate
v1.2.0 — Dynamic Prime Generation Gate OS-style normalization + global convergence for the Prime Phase System
This release introduces the dynamic prime generator as a new OS-style normalization layer. Inputs 0 and 1 are treated as unnormalized and mapped to 2, while normalized inputs preserve the existing fixed-point semantics. All existing definitions and theorems remain unchanged.
Key Features
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Added new module
Dynamic.lean -
OS-style normalization gate:
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step 0 = 2 -
step 1 = 2
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Preservation of existing semantics for
n > 1:step n = n ↔ interferenceEnergy n = 0
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Global convergence theorem:
∀ n, ∃ k, isStableFixedPoint (Nat.iterate step k n)
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Prime convergence theorem:
∀ n, ∃ k, isPrime (Nat.iterate step k n)
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Verified full build (5890 jobs)
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No changes to existing definitions or major theorems
Summary
This release completes the dynamic layer of the Prime Phase System. The system now provides full-domain convergence while preserving the static theory introduced in v1.1.0.