GLOBAL_CONSTANTS = {
"simulation_duration_years": 10,
"timestep_resolution": "1_hour", # 87,600 timesteps/year = 876,000 total
"initial_node_count": 10_000,
"max_node_count": 1_000_000,
"geographic_distribution": "pareto_urban", # 80% nodes in 20% land area
"base_latency_ms": {
"fiber": 25,
"satellite": 250,
"mesh": 500
},
"hardware_distribution": {
"consumer_grade": 0.70, # Raspberry Pi 4 equivalent (4GB RAM, 1.5GHz)
"server_grade": 0.25, # AWS c6i.2xlarge equivalent (8 vCPU, 16GB)
"data_center": 0.05 # Bare metal, 10Gbps, 64GB+ RAM
},
"economic_agent_types": {
"retail_user": {
"count": 10_000_000,
"tx_frequency": "poisson_λ=2/day",
"value_per_tx": "lognormal_μ=$50_σ=2"
},
"merchant": {
"count": 500_000,
"tx_frequency": "poisson_λ=50/day",
"value_per_tx": "lognormal_μ=$200_σ=1.5"
},
"enterprise": {
"count": 10_000,
"tx_frequency": "poisson_λ=1000/day",
"value_per_tx": "lognormal_μ=$50_000_σ=1"
},
"ai_agent": {
"count": 1_000_000,
"tx_frequency": "poisson_λ=100/day",
"value_per_tx": "lognormal_μ=$5_σ=3",
"activation_year": 3
}
},
"adversarial_budget_usd": 10_000_000_000, # $10B attack fund
"quantum_computing_timeline": {
"year_1_3": "none",
"year_4_6": "nisq_1000_logical_qubits",
"year_7_10": "fault_tolerant_10000_logical_qubits"
},
"network_partition_scenarios": {
"intermittent_connectivity": 0.30, # 30% of nodes
"hardware_failure_rate_annual": 0.05,
"operator_churn_annual": 0.02,
"regulatory_shutdown_monthly": 0.15
}
}SCL (Test Subject) - Consensus Layer (Proof-of-Symmetry):
SCL_CONSENSUS = {
"mechanism": "Proof-of-Symmetry",
"quantum_simulation": {
"library": "qsim",
"qubit_count": 7,
"state_amplitudes": 128, # 2^7
"measurement_count_M": "dynamic_f(active_nodes)",
"deterministic_seed_source": "THRESHOLD_SIGNATURE_OUTPUT",
"amplitude_encoding": "normalized_frequency",
"probability_formula": "p_i = (f_i^2 / N) where f_i is frequency of value i"
},
"stage_threshold": {
"formula": "T = T_base + floor(C_issued / R) - floor(C_staked / R)",
"T_base": 2,
"R": 2_000_000,
"dynamic_adjustment": True, # Real-time adjustment during simulation
"adjustment_frequency": "per_block",
"bounds": { "min": 2, "max": 10 }
},
"validation_rate": {
"symmetry_ratio": "1:1", # validation_rate : staked_balance
"compound_legacy": True, # Tortoise mechanism
"liquid_authority": True, # Hare mechanism
"fee_history_weight": 0.3
},
"game_audit": {
"matrix_size": "10x10",
"buffer_type": "circular",
"max_valuations": 10,
"numbers_per_valuation": 10,
"value_range": [0, 99],
"distinct_user_test": True, # Prevents Sybil flooding
"insertion_policy": "highest_available_index"
},
"symmetry_detection": {
"match_criteria": "column_contains_symmetric_set",
"threshold_scaling": "dynamic_T",
"reward_formula": "f(total_matches, T, active_nodes)"
}
}Cryptographic Layer (Post-Quantum):
SCL_CRYPTO = {
"signature_scheme": {
"algorithm": "CRYSTALS-Dilithium5",
"nist_level": 5,
"standard": "FIPS 204",
"public_key_len": 2592,
"secret_key_len": 4896,
"signature_len": 4595,
"parameter_set": "ML-DSA-87"
},
"key_encapsulation": {
"algorithm": "CRYSTALS-Kyber-512",
"nist_category": 1,
"public_key_len": 800,
"secret_key_len": 1632,
"ciphertext_len": 768,
"shared_secret_len": 32
},
"threshold_signing": {
"scheme": "Threshold_Dilithium",
"n": 3,
"t": 2,
"dkg_protocol": "Distributed_Key_Generation",
"trusted_dealer": False,
"ceremony_output": {
"aggregated_signature": "deterministic_output",
"used_for": "quantum_simulation_seed",
"finality_mechanism": "threshold_signature_verification"
},
"equation": "z = sum(y_i + c * s_{1,i}) mod q, ||z||_inf < gamma_1 - beta",
"security_check": "||z||_inf < gamma_1 - beta ensures statistical hiding"
},
"zk_prf_layer": {
"construction": "LWE-based_PRF",
"security": "128-bit_post_quantum",
"repetitions": 219,
"problem_basis": "SIS_and_MLWE",
"formula": "y = (A * s) mod p",
"key_properties": {
"secret_vector": "sparse_ternary",
"coefficients": [-1, 0, 1],
"hamming_weight": 25
},
"proof_size": {
"min": "PERM_SEED_LEN + (ZK_KAPPA * ZK_MIN_REP_SIZE)",
"max": "PERM_SEED_LEN + (ZK_KAPPA * ZK_MAX_REP_SIZE)"
}
},
"encryption": {
"symmetric": "AES-256-GCM",
"authentication": "HMAC-SHA256",
"handshake": "Kyber_key_encapsulation + Dilithium_authentication"
}
}State Management (MMR):
SCL_STATE = {
"structure": "Merkle_Mountain_Range",
"proof_type": "stateless",
"verification_complexity": "O(log n)",
"update_complexity": "O(log n)", # vs O(n) for full rehash
"proof_components": {
"path_hashes": "sibling_hashes_to_peak",
"peak_hashes": "all_mountain_peaks",
"root_verification": "calculated_root == block_header_root"
},
"pruning": {
"supported": True,
"finalized_mountain_discard": True,
"peak_hash_retention": True
},
"light_client": {
"proof_size": "logarithmic_to_chain_size",
"verification_without_full_node": True,
"offline_capability": True
}
}Tokenomics (SCLCoin):
SCL_TOKENOMICS = {
"max_supply": 16_000_000,
"subunits_per_coin": 160_000_000,
"structure": "PTXM", # Post-Monetary Transaction Map
"utxo_variant": "modular_with_pointer_ranges",
"fee_rate": 0.0314, # ~3.14% for self-fulfilling transactions
"post_cap_sustainability": {
"fee_pool_mechanism": True,
"recirculation": "pointer_recycling_via_hash",
"minimum_eligible_recirculation": "~251,327 SCL at 100% staking"
},
"coin_structure": {
"amount": "block_reward_value",
"coin_id": "32_bytes",
"creation_tx_hash": "32_bytes",
"audit_snapshot": "copy_of_game_audit_at_mint",
"audit_state_anchor": "hash_of_full_gamestate"
}
}Centinel Hardware Oracle (Forward Integration):
SCL_CENTINEL = {
"activation_year": 3,
"deployment_cap": 1_000_000,
"unit_cost_usd": 35,
"fee_structure": "5-8% of throughput",
"input": "US_penny_physical",
"output": "SCLCoin_digital",
"bootstrap_mechanism": "physical_to_digital_conversion",
"target_recirculation_rate": 0.50,
"penny_supply_estimate": 300_000_000_000,
"metal_value_usd": 0.037,
"duality": {
"particle": "penny_physical_stake",
"wave": "sclcoin_probabilistic_equity"
}
}[Baseline PoW/PoS specs for Bitcoin, Ethereum, Solana, and Algorand appended internally...]
ATTACK_VECTORS = {
"majority_attacks": {
"pow_51_percent_hashrate": { "target": ["Bitcoin"], "cost_calculation": "hardware_plus_electricity_plus_opportunity" },
"pos_51_percent_stake": { "target": ["Ethereum", "Algorand"], "cost_calculation": "market_purchase_plus_premium" },
"scl_constructive_interference": {
"target": ["SCL"],
"mechanism": "coalition_majority_in_audit_window",
"physics": "quantum_probability_quadratic_scaling",
"cost_calculation": "node_acquisition_plus_coordination"
}
},
"long_range_attacks": { "applicable_to": ["PoS_protocols", "SCL"], "defense": ["checkpointing", "weak_subjectivity"] },
"nothing_at_stake": { "applicable_to": ["Early_PoS", "SCL_test"], "mitigation": ["slashing", "economic_penalties"] },
"sybil_attacks": { "applicable_to": ["All_protocols"], "scl_defense": "distinct_user_test_plus_stage_threshold" },
"eclipse_attacks": { "applicable_to": ["All_P2P_protocols"], "mitigation": ["diverse_peer_selection", "connection_limits"] },
"quantum_forgery": {
"description": "Shor's_algorithm_for_private_key_recovery",
"timeline": "Years_4-10",
"vulnerable": ["Bitcoin_ECDSA", "Ethereum_pre_migration", "Algorand"],
"resistant": ["SCL_Dilithium", "Ethereum_post_migration"]
},
"mev_extraction": { "target_protocols": ["All_with_mempool"] }
}
SECURITY_SCORE_FORMULA = {
"components": {
"chain_liveness_maintained": { "weight": 0.25, "threshold": "> 0% (no halt)" },
"no_double_spends_confirmed": { "weight": 0.25, "threshold": "= 0" },
"adversarial_cost_exceeds_benefit": { "weight": 0.20, "threshold": "> 1.0" },
"no_censorship_achieved": { "weight": 0.15, "threshold": "< 1%" },
"fair_fee_market_preserved": { "weight": 0.15, "threshold": "< 2.0" }
},
"final_score": "weighted_sum_of_components",
"confidence_interval": 0.95
}LOAD_TEST_SEQUENCE = {
"Phase_1_Baseline": { "duration_months": 12, "load_tps": 100 },
"Phase_2_Surge": { "duration_months": 12, "load_tps": 1000, "sustained_period": "1_week_continuous" },
"Phase_3_Flash_Crash": { "duration_months": 12, "fee_revenue_drop": 0.90 },
"Phase_4_AI_Activation": { "duration_months": 24, "agent_count": 10_000_000, "activation_year": 3 },
"Phase_5_Maximum_Stress": { "duration_months": 60, "load_tps": "peak_observed_crypto_load * 2" }
}
TRILEMMA_SCORE = {
"formula": "min(throughput_percentile, decentralization_percentile, security_percentile)",
"principle": "No_tradeoff_hiding",
"superior_threshold": "> 0.9 with no dimension < 0.8"
}POS2_VALIDATION = {
"velocity_equals_security_test": {
"description": "Critical_test_of_core_SCL_claim",
"procedure": [
"Initialize_two_SCL_subnets_with_identical_parameters",
"Subnet_A: High_velocity (100 tx/node/day), low_staking (10% of supply)",
"Subnet_B: Low_velocity (1 tx/node/day), high_staking (90% of supply)",
"Attack_both_with_identical_30%_adversarial_node_infiltration",
"Measure: Block_production_fairness, liveness_maintenance, reward_distribution"
],
"hypothesis_test": {
"H0": "Staking_quantity_dominates_security (traditional_PoS)",
"H1": "Velocity_equals_security (SCL_claim)",
"rejection_criteria": "Subnet_A demonstrates equal_or_greater_resilience despite lower_staking"
},
"significance_level": 0.01
},
"dynamic_threshold_stability": {
"scenarios": [
{"C_issued": "2M", "C_staked": "0.5M", "expected_T": 3},
{"C_issued": "4M", "C_staked": "3M", "expected_T": 2},
{"C_issued": "8M", "C_staked": "2M", "expected_T": 5},
{"C_issued": "16M", "C_staked": "12M", "expected_T": 4}
],
"convergence_requirement": "T_settles_within_10% of predicted within_100_blocks"
}
}MONTE_CARLO_CONFIG = {
"simulation_runs": 10_000,
"confidence_intervals": 0.95,
"convergence_test": { "method": "Gelman-Rubin_statistic", "threshold": "< 1.1" }
}
BIAS_PREVENTION = {
"no_protocol_specific_optimization": { "enforcement": "cryptographic_commitment_to_params_before_simulation" },
"adversarial_equality": { "attack_sophistication": "identical_across_protocols" },
"developer_ignorance": { "implementation": "protocols_anonymized_during_initial_setup" },
"open_source_verification": { "executable_hashes": "logged_on_immutable_ledger" }
}SUPERIORITY_CRITERIA = {
"PRIMARY_CONDITION": { "description": "SCL_achieves_>90th_percentile_on_>80%_of_primary_metrics" },
"SECURITY_CONDITION": { "description": "No_successful_attacks_across_all_10_000_runs" },
"ECONOMIC_CONDITION": { "description": "SCL-specific_claims_validated_at_p<0.01" },
"ROBUSTNESS_CONDITION": { "description": "Superiority_maintained_across_>70%_of_sensitivity_analyses" },
"FINAL_OUTPUT_RULE": {
"IF_ALL_MET": "SCL_demonstrates_architectural_superiority_with_[confidence]%_confidence",
"IF_ANY_FAILED": "SCL_failed_superiority_test_on_[specific_metric]_under_[conditions]"
}
}| H0 ID | Hypothesis | Test | Rejection Criteria |
|---|---|---|---|
| H0_1 | SCL security ≤ Bitcoin security | Adversarial cost comparison | p<0.01, SCL higher cost to attack |
| H0_2 | SCL decentralization ≤ Ethereum | Nakamoto coeff. + Gini | p<0.01, SCL higher coefficient, lower Gini |
| H0_3 | SCL throughput ≤ Solana | Sustainable TPS | p<0.01, SCL higher TPS |
| H0_4 | SCL finality ≥ Algorand | Time-to-finality | p<0.01, SCL lower latency |
| H0_5 | Velocity ≠ Security (SCL claim) | Subnet comparison | p<0.01, correlation >0.9 |
| H0_6 | SCL quantum resistance = placebo | Quantum era attack | No forgery in 2^128 operations |
| H0_7 | Threshold sig finality ≤ voting finality | Consensus latency | p<0.01, threshold sig faster |
Threshold Signature Equation:
z = Σ(i=0 to n-1) (y_i + c · s_{1,i}) (mod q)
||z||_∞ < γ_1 − β
Where:
• z: aggregated response vector
• y_i: ephemeral masking vector (party i)
• c: challenge polynomial (coefficients in {-1, 0, 1}, Hamming weight τ = 60)
• s_{1,i}: secret-key share of party i
• q: ring modulus (8380417)
• ||·||_∞: infinity norm (max absolute coefficient)
• γ_1: rejection-sampling bound (2^19 = 524288)
• β: bound on ||c · s_1||_∞ (τ × η × n = 60 × 2 × 3 = 360)
Security Check:
||z||_∞ < γ_1 − β ensures secret shares are statistically hidden in noise
Seed Derivation for Quantum Simulation:
THRESHOLD_SEED_DERIVATION = {
"input": "aggregated_threshold_signature_output",
"hash_function": "SHA3-256",
"output_length": 256,
"usage": "seed_for_qsim_register_initialization",
"determinism": "Same_threshold_input_always_produces_same_seed"
}