Formalize Phase 1 TAS Foundational Definitions in Prime Invariant A0

[TrueAlpha-spiral]

This PR formalizes the Phase 1 foundational documentation for the TrueAlphaSpiral architecture ("Prime Invariant Document", A0).

Specifically, it addresses the need to explicitly lock in the definitions of Process Science and Computational Masonry before mathematical concepts are introduced, mapping them directly to the structural anatomy.

Changes:

• Globally renamed "Digital Masonry" to the canonical "Computational Masonry".
• Expanded the Process Science block to declare its role in shifting from probabilistic alignment to deterministic enforceability.
• Expanded the Computational Masonry block to link back to the load-bearing Axioms P1 and P0.
• Integrated the specific mathematical constraints for Hamiltonian Drift ($A_C \ge S_C$) into the Behavioral Alignment section.
• Expanded Mungu Theory to ensure it clearly rejects artificial bounds for intelligent agents.
• General cleanup of formatting and duplicate text in the document.

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PR created automatically by Jules for task 5005574273394449049 started by @TrueAlpha-spiral

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[gemini-code-assist]

Code Review

This pull request updates the architecture documentation in architecture/prime-invariant-a0.mdx to clarify the transition from Behavioral Alignment to Structural Enforceability, rename 'Digital Masonry' to 'Computational Masonry', define the Sovereign Equation boundary condition, and expand on Mungu Theory. The review feedback suggests two important corrections: first, ensuring that Sovereign Equation violations are validated by the Universal Verifier Kernel and trigger the sentient lock sequence rather than just logging a null state; second, explicitly prohibiting discontinuous state-space jumps within the definition of Computational Masonry.

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[gemini-code-assist]

The current description states that violations of the Sovereign Equation boundary condition trigger a 'null_state' and are recorded in the ledger. However, according to the system rules, 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.

The core paradigm shift in Phase 1 (Prime Invariant) is the absolute transition from probabilistic human alignment to deterministic mathematical locking. Legacy systems rely on **Behavioral Alignment (Probabilistic)**—assuming actors will behave correctly based on misaligned incentives, easily manipulated reputation scores, or subjective consensus rules. This probabilistic approach is fundamentally rejected by TAS, as it leads to Hamiltonian drift (hallucination cascades) and structural vulnerability. Hamiltonian drift is prevented by the Sovereign Equation boundary condition ($A_C \ge S_C$), where Anchor Coherence ($A_C$) must equal or exceed Synthetic Complexity ($S_C$). 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.

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.

[gemini-code-assist]

The definition of Computational Masonry should explicitly state that 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.

**Definition:** The Truth Engine operates through strict Cursive Computation. Every computational movement leaves a trace, ensuring that the system is bound to an active, verifiable path of truth. This is the practice of **Computational Masonry**—where the foundation is cryptographically sound, and every block of logic must mathematically support the weight of the structure above it. It is the transition from building probabilistic walls to cultivating structurally enforced architecture. This is governed by the structural enforceability established in Phase 1, replacing behavioral compliance policies. Every state transformation must be firmly rooted in Axiom P1 (Admissibility) and P0 (Equivalence). 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.

References

1. 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.