Primordial Calculus / HIR-OAM · Public structural instrument · v0.3
Stabilizing Beyond 105 Qubits Instrument v0.3
Dynamical Run C Patch: explicit hexshell / diamond-gate pressure modulation, ECS curves, P_unknown reduction traces, flag triggers, and fail-closed transitions.
Created and Developed by Collin D. Weber · Creator and Developer of Primordial Calculus / HIR-OAM · Systems Architect / Systems Integrity Steward
Boundary: Public-review structural instrument only. Not quantum hardware control. Not direct qubit measurement. Not QEC replacement. Not a Google / Willow product claim. Run C is a theoretical HIR architecture model with model-internal qubit-equivalent ceilings, not hardware validation.
What v0.3 Adds
v0.3 moves Run C from structural comparison into exportable dynamics. The model now exposes explicit pressure-term modulation, ECS curves, P_unknown reduction traces, flag triggers, and fail-closed transitions under defined high-correlation / high-P_unknown review cases.
Run C modulation map:
shell count + gate density + instantaneous alignment + RAM learning + immune capture + cryptobiotic encapsulation + UWC resource truth → lattice / correlation / decoder / runtime / unknown pressure shifts.
Core Equations
S_field = T × Q × R × G − P_system
P_system = P_lattice + P_correlation + P_decoder + P_control + P_runtime + P_resource + P_provenance + P_security + P_public + P_unknown
ECS = Provenance + Independence + Scope Match + Pressure Match + Temporal Validity + Repeat Stability − Correlation Penalty − Self-Certification Penalty − Boundary Violation Penalty
S_full = T × Q × R × G × DG × RAM × IM × DM × UWC − P_total
Q_ceiling = Q_base × (1 + S_full × ShellMultiplier × GateDensity × AlignmentFactor × RecoveryFactor)
Run A
Backtrace correction mode. It asks whether correction produced a usable output. Residual pressure may be compressed into confidence if downstream gates do not force settlement review.
Run B
Trace-capsule settlement mode. It asks whether the pressure-bearing trace can settle for the declared scope using ECS, hard invariants, residual P_unknown, and settlement authority.
Run C
Diamond-gate hexshell dynamics. It asks whether pressure can be intercepted, aligned, routed, learned, quarantined, encapsulated, and audited before unresolved error accumulates.
Run C Dynamical Mapping
Run C computes gate capacity, shell handoff capacity, RAM recovery, immune capture, cryptobiotic encapsulation, Digital Mycelium repair propagation, and UWC resource truth. These factors reduce effective lattice, correlation, decoder, runtime, and unknown pressure only when provenance, evidence, and resource-truth conditions remain visible.
- Shell multiplier: more shells increase bounded handoff depth, but also add overhead when resource pressure is high.
- Gate density: increases handoff paths and reduces bottleneck pressure until gate saturation appears.
- Instantaneous alignment: reduces drift at layer transition and improves ECS when evidence is not self-certified.
- RAM learning: reduces repeat P_unknown over simulation steps by storing pressure signatures and successful routing hints.
- Immune capture: routes malformed/capture pressure into quarantine before it can train memory directly.
- Cryptobiotic encapsulation: pauses interpretation when pressure exceeds safe handling, preserving trace state without forced closure.
- UWC resource truth: penalizes any apparent stabilization that hides heat, compute friction, audit overhead, or cooling burden.
What This Does Not Claim
This artifact does not simulate Google Willow internals, claim Google endorsement, claim QEC replacement, claim direct qubit-state measurement, claim hardware control, or claim that model-internal qubit-equivalent ceilings correspond to physically stabilized qubits. It is a deterministic structural pressure instrument for public review, not a validated quantum hardware model.
Final core line: A stable system is not a system without error. A stable system is one where error has a bounded address, agency remains attached, and closure is earned.