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Core Concepts Index

The Core Concepts section documents the kernel-level objects and protocols every Zeq integration relies on. Twelve concept pages are currently published.

Files Created​

  1. hulyapulse.md (97 lines)

    • The 1.287 Hz heartbeat of Zeq
    • Derived from field physics
    • API: GET /api/zeq/pulse

  2. zeqond.md (154 lines)

    • The computational second (0.777 seconds)
    • Bidirectional Unix ↔ Zeqond conversion
    • API: POST /api/zeq/timebridge

  3. r-of-t.md (137 lines)

    • Phase-locked modulation: R(t) = S(t)[1 + α·sin(2πf·t + φ₀)]
    • Signal encoding and verification
    • Recovering raw results from modulated output

  4. ko42.md (170 lines)

    • Mandatory metric tensioner on every computation
    • KO42.1 (Automatic) and KO42.2 (Manual) modes
    • Why it cannot be removed

  5. operators.md (259 lines)

    • 1,536 operators across 64 domains
    • Operator specifications and metadata
    • API: GET /api/operators, GET /api/framework/operator/:id

  6. master-equation.md (236 lines)

    • Full HULYAS Master Equation breakdown
    • Seven distinct terms explained
    • API: POST /api/zeq/master-equation

  7. seven-step-protocol.md (393 lines)

    • Mandatory 7-step computation sequence
    • Step 1: KO42 mandatory
    • Step 2: Operator limits
    • Step 3: Scale principle
    • Step 4: Precision tuning
    • Step 5: Compilation
    • Step 6: Execution
    • Step 7: Verification

  8. zeqproof.md (327 lines)

    • HMAC-SHA256 cryptographic binding
    • Proof of authenticity, integrity, and timestamp
    • API: POST /api/zeq/verify
    • Use cases: regulatory compliance, scientific reproducibility

  9. degradation-model.md (404 lines)

    • Five tiers: Free, Starter, Builder, Advanced, Architect
    • Rate limits, operator access, precision, advanced protocols
    • Comparison table and upgrade/downgrade procedures
    • Credit and overage pricing

  10. zeqstate.md

    • The canonical envelope every computation returns
    • Fields, lifecycle, offline verification procedure

  11. cko.md

    • Combined Kinematic Operator: how an operator chain compiles into a single executable object
    • Non-commutativity, cardinality bound, scale compatibility, phase coherence

  12. precision-bound.md

    • The ≤ 0.1 % nominal error envelope and how it is computed
    • Tier-dependent ceilings and the verifier contract

  13. plnb.md

    • Phase-Locked Neural Bridge: observer signal → coherence γ → operator chain
    • PLNB1 awareness operator and the /api/zeq/plnb/observe endpoint

Total Content​

  • 9 files
  • 2,177 lines of documentation
  • 60+ code examples (API calls)
  • 15+ tables for reference
  • Complete mathematical equations with LaTeX
  • Docusaurus MDX frontmatter on all files
  • Comprehensive cross-references between sections

Key Features​

✓ Production-ready Docusaurus MDX format ✓ Real API endpoints (https://zeq.dev/api/...) ✓ Mathematical equations in code blocks ✓ JSON response examples ✓ Admonitions (info, warning, note) ✓ Sidebar positioning (1-9) ✓ Internal cross-references ✓ Educational depth with practical examples ✓ Regulatory/compliance language ✓ Tier-appropriate content for all user levels

All files are ready for Docusaurus deployment.