docs: formalize TrueAlphaSpiral Phase 1 architecture in prime-invariant-a0.mdx

[TrueAlpha-spiral]

I have formalized the TrueAlphaSpiral Architectural Manifest Phase 1 within architecture/prime-invariant-a0.mdx.

I rewrote the target document using a Python script to deeply formalize the required concepts directly into the structure. The definitions of Process Science and Computational Masonry are now locked. Legacy terms such as 'Digital Masonry' have been explicitly deprecated, 'null transformation' was replaced with 'identity transformation (no state change)', and functional composition circle notation was strictly utilized. Furthermore, I formalized the shift from Behavioral Alignment to Structural Enforceability, the Mungu Theory base definitions, and Axioms P0 and P1. The changes pass the mintlify broken-links checks seamlessly, ensuring the git setup preserves the mint.json structure properly.

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PR created automatically by Jules for task 10610798302984881364 started by @TrueAlpha-spiral

[gemini-code-assist]

Code Review

This pull request refines the foundational architecture documentation for Phase 1 of the TrueAlphaSpiral (TAS) system in architecture/prime-invariant-a0.mdx. Key updates include formalizing the transition from legacy probabilistic systems to deterministic Computational Masonry, deprecating the term Digital Masonry, and restructuring the definitions of Axiom P0 (Equivalence) and Axiom P1 (Admissibility) for clarity. The review feedback suggests enhancing the definitions of Axiom P0 and Axiom P1 to explicitly restrict discontinuous state transitions (teleportation) and mandate validation by the Universal Verifier Kernel (uvk.py) with appropriate failure triggers.

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[gemini-code-assist]

To ensure absolute alignment with the repository's core state transition rules, the definition of Axiom P0 (Equivalence) should explicitly specify that state transitions must not allow discontinuous jumps ('teleportation') in state space, and that all transitions must maintain a continuous, coherent, and verifiable lineage to ensure authenticity.

To formalize this, any system asserting Axiom P0 must physically render unprovable states as fundamentally uncompilable, guaranteeing that the existence of a state is mathematically isomorphic to the existence of its proof. There can be no orphan states or partial truths. State transitions must not allow discontinuous jumps ('teleportation') in state space, and all transitions must maintain a continuous, coherent, and verifiable lineage to ensure authenticity. This axiom fundamentally formalizes the shift from Behavioral Alignment (Probabilistic) to Structural Enforceability (Deterministic), operating strictly as a load-bearing pillar in the 'Computational Masonry' layer. The "Iff Innovation" ensures that truth is not a negotiated property but a strict mathematical identity; an object simply does not exist within the TAS context unless it is the definitive result of its proven topological history. Without this bilateral proof, the state is categorized as a simulation output and geometrically rejected. This guarantees that the existence of a valid state is perfectly mirrored by its cryptographic derivation. Through Axiom P0, ambiguity is removed entirely from the execution environment; every object must carry its genesis within its current representation.

References

1. State transitions must not allow discontinuous jumps ('teleportation') in state space. All transitions must maintain a continuous, coherent, and verifiable lineage to ensure authenticity.

[gemini-code-assist]

To ensure absolute alignment with the repository's core state transition rules, the definition of Axiom P1 (Admissibility) should explicitly specify that all state transitions must be validated by the Universal Verifier Kernel (uvk.py) for deterministic admission control before being finalized or written to the ledger. Any violation of admissibility boundaries must trigger the _engage_sentient_lock sequence to freeze the execution pipeline entirely. Additionally, state transitions must not allow discontinuous jumps ('teleportation') in state space, and must maintain a continuous, coherent, and verifiable lineage.

If data cannot be cryptographically proven as part of the unbroken lineage, it is unconditionally mathematically void and rejected. All state transitions must be validated by the Universal Verifier Kernel (uvk.py) for deterministic admission control before being finalized or written to the ledger. Any violation of admissibility boundaries must be rejected, triggering the _engage_sentient_lock sequence to freeze the execution pipeline entirely. Furthermore, state transitions must not allow discontinuous jumps ('teleportation') in state space, and must maintain a continuous, coherent, and verifiable lineage; if a recursive step would require a discontinuous jump, the system must collapse the recursion into a refusal. Admissibility forms the primary defensive constraint of Phase 1, strictly enforcing that truth must be mathematically structured before it can be cryptographically locked in Phase 2. This axiom actively prevents 'garbage in, garbage out' scenarios by demanding that any newly proposed data natively carry the cryptographic signature of the valid state that preceded it, making the propagation of isolated, unauthorized data structurally impossible. In practice, Axiom P1 isolates the internal execution layer from unverified environmental chaos, ensuring that nothing can perturb the structural coherence of the system without satisfying the most rigorous cryptographic checks, making the propagation of unauthorized data an impossibility.

References

1. State transitions must be validated by the Universal Verifier Kernel (uvk.py) for deterministic admission control before being finalized or written to the ledger. Any violation of admissibility boundaries must be rejected, triggering the _engage_sentient_lock sequence to freeze the execution pipeline entirely. Also, state transitions must not allow discontinuous jumps ('teleportation') in state space, and must maintain a continuous, coherent, and verifiable lineage.