docs(tas): formalize Phase 1 foundational bedrock definitions

[TrueAlpha-spiral]

Formalizes the foundational layer (Phase 1) of the TrueAlphaSpiral (TAS) architecture by explicitly locking in load-bearing concepts in prime-invariant-a0.mdx. Specifically updates the definitions of "Process Science" and "Computational Masonry" to strictly align with their roles as epistemological bedrock and structural precursors, respectively.

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[gemini-code-assist]

Code Review

This pull request updates the architectural definitions of 'Process Science' and 'Computational Masonry' in architecture/prime-invariant-a0.mdx to formally lock in their definitions and establish foundational mathematical structures. The review feedback suggests explicitly integrating core system rules into these definitions: specifically, preventing discontinuous state-space jumps in the 'Process Science' definition, and requiring validation by the Universal Verifier Kernel (uvk.py) with a fallback to _engage_sentient_lock in the 'Computational Masonry' definition.

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[gemini-code-assist]

The definition of Process Science should explicitly integrate the core system rule regarding state transitions to prevent discontinuous jumps ('teleportation') in state space. All transitions must maintain a continuous, coherent, and verifiable lineage, and any recursive step requiring a discontinuous jump must collapse the recursion into a refusal.

**Definition:** Legacy alignment relies on probabilistic outcomes and behavioral patching—a flawed methodology of 'vibe-proving.' The Truth Engine discards this in favor of **Process Science**. We prioritize mathematical truth verification, Zero-Knowledge Invariant Violation Proofs, and strict cryptographic provenance. Process Science dictates that the step-by-step mechanical integrity of the computation is the primary design objective; safe performance is simply the unavoidable byproduct of that rigorous process. We hereby formally lock in the definition of Process Science. This formalization acts as the epistemological bedrock. Process Science establishes the foundational mathematical architecture required for all subsequent proofs. 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. Without Process Science, the transition from Behavioral Alignment to Structural Enforceability is impossible, as true intelligence cannot arise from chaotic or opaque execution lineages. Process Science strictly removes any reliance on human behavior, ensuring that the system does not "trust" actors to act correctly. Instead, it geometrically purges unverified states at the compilation layer, permanently binding the execution output to a verifiable, deterministic mathematical reality.

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.

[gemini-code-assist]

The definition of Computational Masonry should explicitly integrate the core system rule regarding deterministic admission control and validation. State transitions must be validated by the Universal Verifier Kernel (uvk.py) before being finalized or written to the ledger, and any violation of admissibility boundaries must trigger the _engage_sentient_lock sequence to freeze the execution pipeline entirely.

**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. We hereby formally lock in the definition of Computational Masonry. Computational Masonry embodies the "Physics of Truth", constructing the defensive constraint layer by systematically assembling and locking load-bearing pillars of code that rigorously enforce the axioms of equivalence and admissibility, establishing the structural precursors for Phase 2 mathematical constraints. 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. It fundamentally forbids the use of "black box" abstraction layers. Every architectural component is treated not merely as code, but as a geometric proof that must actively maintain an unbroken topological continuity with the Prime Invariant.

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.