The Second-Layer Roots — building blocks

The second-layer roots provide the admissibility and interface discipline for the theory: they test whether a claim is invariant, finitely recordable, causally ordered, and honestly nonseparable. The complete working packages are linked below.

How to use this page. Open a building block to read its canonical authority, registries, execution instructions, validation records, templates, scripts, and preserved source material. Missing candidate-specific evidence remains OPEN; a package does not close a gate by itself.

Building blocks

Second-layer building block

Vacuum V4.0

Maximum-rigor Vacuum authority for the current 30-gate corpus, including vacuum constraints, gate profiles, packet schemas, controls, templates, and preserved sources.

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Second-layer building block

Boundary V4.1

Maximum-rigor Boundary authority covering domains, local and global anomalies, inflow, gluing, eta/bordism, flux, refinement, and machine-readable execution contracts.

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Second-layer building block

Dynamics V4.2

Agent-ready Dynamics authority for lawful equations and responses from frozen Shape and Rulebook inputs, with operator, history, causal-evolution, refinement, and regional-flux systems.

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Second-layer building block

Governance V4.0

Supplemental, non-displacing governance guidance for authority precedence, procedure compatibility, evidence bundles, controls, and gate execution.

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Second-layer building block

Interdependence V4.0

Maximum-rigor authority for dependency accounting, shared objects, factorization debt, packet schemas, destructive controls, and claim ceilings.

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Second-layer building block

Observer V4.0

Maximum-rigor Observer authority for record maps, kernels, images, inaccessible sectors, uncertainty, calibration, and observer-owned obligations.

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Second-layer building block

Rigidity V4.1

Second-pass maximum-rigor Rigidity authority covering constraint Jacobians, spectral and nonlinear stability, obstruction tests, controls, and calibration.

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Second-layer building block

Time Synchronization V4.0

All-gate timing authority covering causal order, clocks, horizons, relational time, transport, holonomy, regional information, uncertainty, and protocol validation.

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