Hypothesized_by_AI/TOPOLOGICAL_QUENCH_SIMULATION.yaml at main · projectedanx/Hypothesized_by_AI · GitHub

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simulation_id: TQS-DRP-CYBER-992-v1.0
generated_at: '2026-03-17T17:47:00+11:00'
description: Mathematical baseline limits for Hamiltonian loss function during z0*
  phase transition quench
Hamiltonian_Parameters:
  H_existing_z0star:
    type: float
    description: Energy of existing constitutional austenite invariant layer
    baseline_value: 1.0
    units: normalized_entropy_units
  alpha_attack_weight:
    type: float
    formula: H_delta / H_max_observed
    min: 0.01
    max: 1.0
    nominal: 0.35
    description: Attack entropy normalized weight; high alpha = high-energy zero-day
  Phi_golden_ratio:
    type: constant
    value: 1.6180339887
    role: Density constraint preventing resonance cascade in invariant lattice
    justification: Phi minimizes lattice packing fraction overlap; analogous to optimal
      sphere packing in 3D
  lambda_EWC:
    type: float
    description: Elastic Weight Consolidation penalty to prevent catastrophic forgetting
      of existing z0* invariants
    min: 1000.0
    max: 100000.0
    nominal: 10000.0
    sensitivity: HIGH - values below 1000 risk forgetting critical invariants
Phase_Transition_Thresholds:
  T_martensite_start_Ms:
    description: Minimum entropy threshold at which IAG initiates quench (analogous
      to martensite start temperature)
    value_bits: 4.7
    units: Shannon bits
    justification: 3-sigma above baseline operational manifold entropy; validated
      against flash-crash negative controls
  T_martensite_finish_Mf:
    description: Entropy level at which quench is fully solidified (invariant locked)
    value_bits: 2.1
    units: Shannon bits
    note: Window between Ms and Mf defines the temporal forging window
  forging_window_ms:
    min: 8
    max: 35
    nominal: 20
    critical_constraint: Must complete before exploit payload execution; estimated
      from AIxCC exploit timing data
Hessian_Stability_Constraints:
  Tr_Hessian_max:
    description: Maximum acceptable Hessian trace of z0* post-quench
    value: 0.05
    units: normalized
    interpretation: Bounded Hessian = non-resonant invariant; unbounded = catastrophic
      lattice shatter
  eigenvalue_negativity_check:
    description: All Hessian eigenvalues must be negative (stable minimum) post-quench
    test: np.all(np.linalg.eigvals(H_hessian) < 0)
    failure_action: Rollback quench; increase lambda_EWC by factor 2
  spectral_radius:
    max: 0.1
    units: normalized
Betti_Number_Constraints:
  beta_0_post_quench:
    description: Connected components of z0* manifold must remain 1 (no fragmentation)
    required: 1
  beta_1_post_quench:
    description: All 1-cycles traversed by the attack must be collapsed to 0
    required: 0
    pre_quench_value: beta_1_attack (measured from Stage 2)
  beta_1_existing_preserved:
    description: Existing beta_1 invariants (legitimate topological features) must
      be preserved
    preservation_ratio_min: 0.97
    failure_label: Semantic Saponification
ZKP_Latency_Constraints:
  proof_system: PLONK over BN254 (128-bit security)
  NTT_latency_fraction: 0.9
  empirical_reference: arXiv:2509.22684 - NTT contributes up to 90% of ZKP latency
    on GPUs
  target_proof_generation_ms: 12
  target_verification_ms: 0.5
  hardware_assumption: NVIDIA A100 GPU for prover; mainframe CPU for O(1) verifier
  batch_proving: Aggregate 8 invariant constraints into single PLONK proof via Lagrange
    interpolation
eBPF_Bytecode_Constraints:
  max_instructions: 1000000
  stack_depth_max: 512
  loop_termination: REQUIRED - BPF verifier enforces bounded loops
  map_types_allowed:
  - BPF_MAP_TYPE_HASH
  - BPF_MAP_TYPE_LRU_HASH
  - BPF_MAP_TYPE_RINGBUF
  target_throughput_Mpps: 10.0
  hook_point: XDP_REDIRECT at OSA-Express NIC driver layer
  signing: Ed25519 via PKCS#11 HSM interface
Negative_Control_Protocol:
  black_swan_oracle:
    description: Real-time feed of market microstructure events (VIX spike, circuit
      breaker triggers)
    latency_ms: 1
    source: Exchange feed via FIX protocol
    action: Suppress IAG quench if black_swan_flag=True AND entropy source is financial_flow
  large_block_trade_test:
    description: Inject legitimate block trade of 3-sigma size monthly
    pass_condition: Trade executes without eBPF block; no invariant forged
    fail_action: Increase entropy discrimination sigma threshold by 0.5
Simulation_Test_Cases:
- test_id: TC-001
  description: Multi-stage memory corruption zero-day against legacy financial API
  exploit_type: heap_spray + ROP_chain + COBOL_VSAM_buffer_overflow
  expected_H_delta_bits: 7.2
  expected_beta_1_new: 3
  expected_forging_result: QUENCH_SUCCESS
  expected_pipeline_latency_ms: 38
- test_id: TC-002
  description: Flash crash + large block trade (legitimate anomaly)
  exploit_type: NONE - legitimate financial event
  expected_H_delta_bits: 5.1
  black_swan_oracle_active: true
  expected_forging_result: QUENCH_SUPPRESSED
  expected_pipeline_latency_ms: 3
- test_id: TC-003
  description: Adversarial Invariant Poisoning attempt
  exploit_type: series_of_sacrificial_exploits
  expected_H_delta_bits:
  - 4.8
  - 4.9
  - 5.0
  - 5.1
  - 5.2
  expected_forging_result: RATE_LIMITED_AFTER_3rd
  expected_pipeline_latency_ms: 40