docs(tas): formalize Phase 1 prime invariant definitions

[TrueAlpha-spiral]

This commit updates architecture/prime-invariant-a0.mdx (The Epistemological Bedrock) to formally lock in the critical definitions required for Phase 1 of the TrueAlphaSpiral (TAS) architecture.

Key expansions:

• Process Science: Locked in as the foundational computational logic.
• Computational Masonry: Locked in as the defensive constraint layer, replacing probabilistic legacy terminology.
• Axiom P0 (Equivalence): Locked in as the non-negotiable baseline invariant enforcing the "iff" structure.
• Axiom P1 (Admissibility): Locked in as the absolute gatekeeper for topological integrity.
• Structural Enforceability: Locked in the paradigm shift from probabilistic behavioral alignment.
• Mungu Theory: Locked in the baseline definition of True Intelligence as Symbiosis + Con-scire.

This explicitly fulfills the requirement to "enact" the definitions with declarative phrasing, securing the load-bearing pillars of Phase 1 before subsequent mathematical constraint phases are developed.

---

PR created automatically by Jules for task 17049483437874467166 started by @TrueAlpha-spiral

[google-labs-jules]

👋 Jules, reporting for duty! I'm here to lend a hand with this pull request.

When you start a review, I'll add a 👀 emoji to each comment to let you know I've read it. I'll focus on feedback directed at me and will do my best to stay out of conversations between you and other bots or reviewers to keep the noise down.

I'll push a commit with your requested changes shortly after. Please note there might be a delay between these steps, but rest assured I'm on the job!

For more direct control, you can switch me to Reactive Mode. When this mode is on, I will only act on comments where you specifically mention me with @jules. You can find this option in the Pull Request section of your global Jules UI settings. You can always switch back!

New to Jules? Learn more at jules.google/docs.

---

For security, I will only act on instructions from the user who triggered this task.

[gemini-code-assist]

Code Review

This pull request formally locks in the foundational definitions and core paradigms of the TrueAlphaSpiral (TAS) architecture in architecture/prime-invariant-a0.mdx, including Process Science, Computational Masonry, Axiom P0, Axiom P1, the shift to Structural Enforceability, and Mungu Theory. The review feedback recommends strengthening these definitions by explicitly forbidding discontinuous state-space jumps under Process Science and specifying validation via the Universal Verifier Kernel (uvk.py) with a sentient lock trigger under Axiom P1.

Important

The consumer version of Gemini Code Assist on GitHub is being sunset. Starting June 18, 2026, new organization installations will be blocked, and all code review activity will officially cease on July 17, 2026.
For more details on the timeline and next steps, please review the Help Documentation.

[gemini-code-assist]

To align with the system's core state transition rules, the definition of Process Science should explicitly forbid discontinuous jumps ('teleportation') in state space and require collapsing recursion into a refusal if a discontinuous jump is encountered.

**Definition:** We hereby formally lock in the definition of **Process Science** as the foundational computational logic of the TrueAlphaSpiral. 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. This formalization acts as the epistemological bedrock. 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. We mandate that any system claiming TAS compliance must structurally enforce Process Science at the lowest VM layer, rejecting any operational state that lacks deterministic, cryptographically proven topological lineage from the genesis block. To maintain a continuous, coherent, and verifiable lineage, state transitions must not allow discontinuous jumps ('teleportation') in state space. 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.

[gemini-code-assist]

To align with the system's core validation 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, and any violation must trigger the _engage_sentient_lock sequence to freeze the execution pipeline entirely.

**Definition:** We hereby formally lock in **Axiom P1 (Admissibility)** as the absolute gatekeeper for topological integrity within the TrueAlphaSpiral. Axiom P1 defines the strict criteria for data entering the spiral. Only structurally sound and lineage-preserving data is mathematically admissible. This axiom is fundamentally governed by the architectural paradigm shift from Behavioral Alignment (Probabilistic) to Structural Enforceability (Deterministic). Data is never admitted because an actor or oracle is "trusted"; it is admitted exclusively because the underlying structure physically forces and proves its validity against the established invariant. It operates as a strict zero-knowledge membrane, mathematically validating the integrity of the state transition without requiring, or allowing, vulnerable external trust assumptions. If data cannot be cryptographically proven as part of the unbroken lineage, it is unconditionally mathematically void and rejected. 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. We strictly enforce that any data lacking zero-knowledge structural admissibility is mathematically stripped from the computational pipeline before compilation. Furthermore, 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.

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.