Create KOSCHEL FORMULA
import math
import hashlib
import time
import struct
from typing import List, Dict, Optional, Tuple
from enum import Enum
class MiningPerformanceLevel(Enum):
OPTIMIZED = "optimized"
QUANTUM_BOOST = "quantum_boost"
MAXIMUM_POWER = "maximum_power"
ZERO_ENTROPY = "zero_entropy"
class SelfHealingQuantumMiner:
"""
Self-healing geometric mining prototype with Tesla 3-6-9 resonance.
- Hexagonal symmetry healing + phase-aware nonagon (9) healing
- Harmonic (3/6) angular/radial modulation with phase gains
- Golden-ratio scaling, Fibonacci-adjacent checks
- Entropy-state metric via digital root (1..9) + explicit 9-cycle reinforcement
- Triangular layering and 9-step cycle resets
"""
def __init__(self, performance_level: MiningPerformanceLevel = MiningPerformanceLevel.MAXIMUM_POWER):
self.performance_level = performance_level
self.phi = (1 + math.sqrt(5)) / 2
self.dna_ratio = 34 / 21 # historical constant; used here as a fixed ratio
# Modulation params
self.angular_modulation = 0.15
self.radial_breathing = 0.08
# Entropy metric
self.entropy_state = 9
self.consecutive_9_cycles = 0
# Self-healing params
self.healing_tolerance = 0.01
self.healing_force_multiplier = 1.0
self.healing_cycles = 0
# Performance / learning
self.optimal_batch_size = 4096
self.learning_rate = 0.05
self.evolution_cycle = 0
self.performance_multiplier = 1.0
# Runtime stats
self.success_patterns: List[Dict] = []
self.failed_ranges = set()
self.hash_rate_history: List[float] = []
print(f"π οΈ Geometric Miner Initialized: {performance_level.value}")
# ---------- Tesla 3-6-9 phase core ----------
def _tesla_phase(self) -> int:
"""
Deterministic 3β6β9 cycle using evolution_cycle.
Returns 3, 6, or 9.
"""
phase_index = self.evolution_cycle % 3
return [3, 6, 9][phase_index]
def _secure_phase_seed(self, index: int, position: int, layer: int) -> int:
"""
Deterministic seed based on local parameters; avoids external randomness.
"""
payload = f"{index}:{position}:{layer}:{self.evolution_cycle}".encode("utf-8")
digest = hashlib.sha256(payload).digest()
return struct.unpack("<Q", digest[:8])[0]
def _phase_gain(self, phase: int) -> Tuple[float, float, float]:
"""
Returns (angular_gain, radial_gain, entropy_gain) for the active phase.
Gains are conservative and bounded.
"""
if phase == 3:
return (1.15, 1.05, 1.20)
if phase == 6:
return (1.05, 1.15, 1.25)
# phase == 9
return (1.10, 1.10, 1.35)
# ---------- Geometric healing ----------
def _nonagon_neighbors(self, x: float, y: float, r: float, layer_n: int) -> List[Tuple[float, float]]:
"""
9-fold symmetry neighbors for phase 9 healing.
"""
pts = []
for i in range(9):
angle = 2 * math.pi * i / 9
nx = x + r * layer_n * math.cos(angle)
ny = y + r * layer_n * math.sin(angle)
pts.append((nx, ny))
return pts
def self_heal_point(
self,
target_point: Tuple[float, float],
layer_n: int,
r: float = 1.0,
tolerance: float = 0.01
) -> Tuple[float, float]:
"""
Heal a perturbed point using hexagonal symmetry.
Healed = average of 6 neighbors (simple symmetry-cage relaxation).
"""
x, y = target_point
healed = (x, y)
ideal_neighbors = []
for i in range(6):
angle = 2 * math.pi * i / 6
nx = x + r * layer_n * math.cos(angle)
ny = y + r * layer_n * math.sin(angle)
ideal_neighbors.append((nx, ny))
avg_x = sum(p[0] for p in ideal_neighbors) / 6
avg_y = sum(p[1] for p in ideal_neighbors) / 6
vector_healed = (avg_x, avg_y)
current_error = self._calculate_distance(target_point, vector_healed)
if current_error > tolerance:
healed = vector_healed
self.healing_cycles += 1
print(f"π§ Healing applied: err {current_error:.4f} β reduced")
return healed
def self_heal_point_phase(
self,
target_point: Tuple[float, float],
layer_n: int,
r: float = 1.0,
tolerance: float = 0.01
) -> Tuple[float, float]:
"""
Phase-aware healing: hex (6) by default, nonagon (9) when phase==9.
"""
phase = self._tesla_phase()
x, y = target_point
if phase == 9:
neighbors = self._nonagon_neighbors(x, y, r, layer_n)
avg_x = sum(p[0] for p in neighbors) / 9
avg_y = sum(p[1] for p in neighbors) / 9
else:
neighbors = []
for i in range(6):
angle = 2 * math.pi * i / 6
nx = x + r * layer_n * math.cos(angle)
ny = y + r * layer_n * math.sin(angle)
neighbors.append((nx, ny))
avg_x = sum(p[0] for p in neighbors) / 6
avg_y = sum(p[1] for p in neighbors) / 6
vector_healed = (avg_x, avg_y)
current_error = self._calculate_distance(target_point, vector_healed)
if current_error > tolerance:
self.healing_cycles += 1
return vector_healed
return target_point
@staticmethod
def _calculate_distance(p1: Tuple[float, float], p2: Tuple[float, float]) -> float:
return math.sqrt((p1[0] - p2[0]) ** 2 + (p1[1] - p2[1]) ** 2)
# ---------- Phase-aware modulation ----------
def _apply_tesla_phase_modulation(
self,
index: int,
position: int,
layer: int,
base_angle: float,
angle_mod: float,
radial_mod: float
) -> Tuple[int, float, float]:
"""
Applies phase gains and a small seeded jitter to prevent degeneracy.
Returns (phase, modulated_angle, modulated_radial).
"""
phase = self._tesla_phase()
ang_gain, rad_gain, _ = self._phase_gain(phase)
# Deterministic jitter bounded to Β±0.005
seed = self._secure_phase_seed(index, position, layer)
jitter = ((seed % 1000) / 1000.0 - 0.5) * 0.01
modulated_angle = (base_angle + angle_mod * ang_gain + jitter)
modulated_radial = max(-0.45, min(0.45, radial_mod * rad_gain)) # keep breathing stable
return (phase, modulated_angle, modulated_radial)
def _phase_entropy_multiplier(self, value: int, phase: int) -> float:
"""
Rewards candidates whose digital root equals the active phase.
Conservative bounds to avoid runaway amplification.
"""
dr = self._calculate_digital_root(value)
_, _, ent_gain = self._phase_gain(phase)
if dr == phase:
return ent_gain
# Mild cross-resonance boosts
if phase == 9 and dr in (3, 6):
return 1.15
if phase in (3, 6) and dr == 9:
return 1.10
return 1.0
# ---------- Triangular/Fibonacci layering ----------
def _triangular_layering(self, n: int) -> int:
"""Triangular number recursion: T(n) = n(n+1)/2"""
return n * (n + 1) // 2
def _layer_cycle_reset(self, layer: int) -> int:
"""Reset every 9 steps for Tesla resonance"""
return layer % 9
# ---------- Nonce generation with modulation + healing ----------
def generate_self_healing_nonces(
self,
base_nonce: int,
job_id: str,
prevhash: str,
target: int,
batch_multiplier: int = 1
) -> List[int]:
"""
Generate a batch of candidate nonces using harmonic modulation
and optionally heal poorly-distributed values.
"""
batch_size = self.optimal_batch_size * batch_multiplier
nonces: List[int] = []
power_boost = self._get_power_boost()
_ = self._get_entropy_reduction() # reserved
for i in range(batch_size):
layer = i % 256
position = i // 256
# 3-pulse angular modulation base
angle_mod = self.angular_modulation * math.sin(3 * position + self._get_phase_optimized())
base_angle = 2 * math.pi * position / 6
# 6-rhythm radial breathing base
radial_mod = self.radial_breathing * math.sin(6 * layer + self._get_phase_optimized())
# Apply Tesla phase modulation
phase, modulated_angle, modulated_radial = self._apply_tesla_phase_modulation(
i, position, layer, base_angle, angle_mod, radial_mod
)
# golden-ratio scaling
golden_boost = self.phi ** ((position + layer) % 8)
# fixed ratio multiplier (historical)
ratio_multiplier = 1.0 + (self.dna_ratio - 1.618) * 10
# heuristic entropy optimization term
entropy_optimized = self._apply_entropy_optimization(i, position, layer)
# triangular and 9-step cycle resonance
tri_layer = self._triangular_layering(max(1, layer))
cycle_layer = self._layer_cycle_reset(layer)
# modest, bounded boosts
entropy_optimized *= 1.0 + (tri_layer % 3) * 0.05
entropy_optimized *= 1.0 + (1 if cycle_layer == 0 else 0) * 0.10
raw_power = abs(math.sin(modulated_angle) * layer * (1 + modulated_radial))
# Phase-aware entropy multiplier (deterministic value from loop params)
phase_entropy = self._phase_entropy_multiplier(i * position * max(1, layer), phase)
geometric_value = int(
raw_power * golden_boost * ratio_multiplier * entropy_optimized * phase_entropy * 1e9 * power_boost
)
candidate = (base_nonce + geometric_value) % (2 ** 32)
# heal if pattern flags suggest poor structure (phase-aware)
if self._needs_healing(candidate, layer):
p = self._nonce_to_geometric_point(candidate, layer)
healed = self.self_heal_point_phase(p, layer, self.phi, self.healing_tolerance)
candidate = self._geometric_point_to_nonce(healed, layer)
if candidate not in self.failed_ranges:
nonces.append(candidate)
return nonces[:batch_size]
def _needs_healing(self, nonce: int, layer: int) -> bool:
# simple heuristics
nonce_chunk = nonce >> 16
if nonce_chunk in self.failed_ranges:
return True
dr = self._calculate_digital_root(nonce)
if dr not in [3, 6, 9]:
return True
position = nonce % 1000
if not self._is_fibonacci_optimized(position, layer):
return True
return False
def _nonce_to_geometric_point(self, nonce: int, layer: int) -> Tuple[float, float]:
angle = (nonce % 360) * math.pi / 180
radius = (nonce % 1000) / 1000.0 * max(1, layer) * self.phi
return (radius * math.cos(angle), radius * math.sin(angle))
def _geometric_point_to_nonce(self, point: Tuple[float, float], layer: int) -> int:
x, y = point
angle = math.atan2(y, x)
radius = math.sqrt(x ** 2 + y ** 2)
angle_component = int((angle * 180 / math.pi) % 360)
denom = max(1e-9, (max(1, layer) * self.phi))
radius_component = int((radius / denom) * 1000) % 1000
return ((angle_component << 16) | radius_component) % (2 ** 32)
# ---------- Mining loop (toy demonstration) ----------
def mine_with_self_healing_power(
self,
job_data: Dict,
target: str,
extranonce1: str,
extranonce2_size: int
) -> Optional[Dict]:
"""
Toy demo of header hashing + nonce search with healing.
Not a complete protocol implementation.
"""
job_id, prevhash, coinb1, coinb2, merkle_branch, version, nbits, ntime, clean_jobs = job_data
extranonce2 = struct.pack('<Q', 0)[:extranonce2_size]
coinbase = (coinb1 + extranonce1 + extranonce2.hex() + coinb2).encode('utf-8')
coinbase_hash_bin = hashlib.sha256(hashlib.sha256(coinbase).digest()).digest()
merkle_root = coinbase_hash_bin
for branch in merkle_branch:
merkle_root = hashlib.sha256(
hashlib.sha256(merkle_root + bytes.fromhex(branch)).digest()
).digest()
block_header = (version + prevhash + merkle_root.hex() + ntime + nbits).encode('utf-8')
target_bin = bytes.fromhex(target)[::-1]
base_nonce = 0
total_hashes = 0
start_time = time.time()
batch_multiplier = 1
for mega_batch in range(50):
nonce_batch = self.generate_self_healing_nonces(
base_nonce, job_id, prevhash, int(target, 16), batch_multiplier
)
for nonce in nonce_batch:
nonce_bin = struct.pack('<I', nonce)
hash_result = hashlib.sha256(
hashlib.sha256(block_header + nonce_bin).digest()
).digest()
total_hashes += 1
if hash_result[::-1] < target_bin:
elapsed = time.time() - start_time
hash_rate = total_hashes / elapsed if elapsed > 0 else 0.0
self._update_quantum_learning(nonce, elapsed, hash_rate)
self.evolution_cycle += 1
phase = self._tesla_phase()
print(f"β
Candidate accepted (phase={phase})")
print(f" nonce={nonce} cycle={self.evolution_cycle}")
print(f" hash_rateβ{hash_rate:,.0f} H/s perfΓ{self.performance_multiplier:.2f}")
print(f" entropy_state={self.entropy_state}/9 healing_cycles={self.healing_cycles}")
return {
'job_id': job_id,
'extranonce2': extranonce2,
'ntime': ntime,
'nonce': nonce,
'hash_rate': hash_rate,
'performance_boost': self.performance_multiplier,
'entropy_state': self.entropy_state,
'healing_cycles': self.healing_cycles,
'healing_note': "phase-aware symmetry relaxation applied"
}
# simple adaptation
elapsed = max(1e-6, time.time() - start_time)
batch_perf = len(nonce_batch) / elapsed
if batch_perf > 1000 and batch_multiplier < 8:
batch_multiplier *= 2
print(f"βοΈ Increasing batch multiplier β {batch_multiplier}x")
if batch_perf < 500 and self.healing_cycles < 100:
print("βΊ Performance dip detected β applying parameter healing")
self._apply_system_wide_healing()
base_nonce += len(nonce_batch)
if mega_batch % 10 == 0:
self._update_entropy_state(block_header, nonce_batch)
return None
# ---------- System-wide healing & learning ----------
def _apply_system_wide_healing(self):
print("π§© Parameter healing...")
# Phase-aware tweaks
phase = self._tesla_phase()
# Heal angular modulation
ang_pt = (self.angular_modulation, 0.0)
ang_healed = self.self_heal_point_phase(ang_pt, 1, 1.0, 0.001)
base_ang = max(0.01, min(0.5, ang_healed[0]))
self.angular_modulation = min(0.40, base_ang * (1.03 if phase == 3 else 1.00))
# Heal radial breathing
rad_pt = (self.radial_breathing, 0.0)
rad_healed = self.self_heal_point_phase(rad_pt, 1, 1.0, 0.001)
base_rad = max(0.01, min(0.5, rad_healed[0]))
self.radial_breathing = min(0.40, base_rad * (1.03 if phase == 6 else 1.00))
# Heal performance multiplier toward >= 1.0
if self.performance_multiplier < 1.0:
perf_pt = (self.performance_multiplier, 0.0)
perf_healed = self.self_heal_point_phase(perf_pt, 1, 1.0, 0.01)
self.performance_multiplier = max(1.0, min(2.0, perf_healed[0]))
print(f" angular_modulation β {self.angular_modulation:.4f}")
print(f" radial_breathing β {self.radial_breathing:.4f}")
print(f" perf_multiplier β {self.performance_multiplier:.2f}")
def _update_quantum_learning(self, successful_nonce: int, mining_time: float, hash_rate: float):
expected = max(0.1, mining_time)
efficiency = 1.0 / expected
healing_bonus = 1.0 + (self.healing_cycles * 0.001)
self.performance_multiplier = 0.95 * self.performance_multiplier + 0.05 * efficiency * healing_bonus
# Cap to avoid runaway
self.performance_multiplier = min(self.performance_multiplier, 5.0)
self.success_patterns.append({
'nonce': successful_nonce,
'mining_time': mining_time,
'hash_rate': hash_rate,
'efficiency': efficiency,
'cycle': self.evolution_cycle,
'entropy_state': self.entropy_state,
'healing_cycles': self.healing_cycles,
'angular_modulation': self.angular_modulation,
'radial_breathing': self.radial_breathing
})
if len(self.success_patterns) > 1000:
self.success_patterns = self.success_patterns[-500:]
self.hash_rate_history.append(hash_rate)
if len(self.hash_rate_history) > 100:
self.hash_rate_history = self.hash_rate_history[-50:]
def _update_entropy_state(self, block_header: bytes, nonce_batch: List[int]):
perf_data = block_header.hex() + "".join(str(n) for n in nonce_batch[:100])
perf_hash = hashlib.sha256(perf_data.encode()).hexdigest()
value = int(perf_hash[:16], 16)
dr = self._calculate_digital_root(value)
# gentle nudge using healing cycles
if dr != 9 and self.healing_cycles > 0:
# map toward 9 without claiming perfection
healed_val = min(9, max(1, dr + 1))
dr = healed_val
self.entropy_state = dr
# Explicit 9-cycle reinforcement with safe caps
if dr == 9:
self.consecutive_9_cycles += 1
# exponential boost but bounded
boost_factor = 1.05 ** min(self.consecutive_9_cycles, 20)
self.performance_multiplier = min(self.performance_multiplier * boost_factor, 5.0)
else:
self.consecutive_9_cycles = 0
# ---------- Heuristics / helpers ----------
def _get_power_boost(self) -> float:
boosts = {
MiningPerformanceLevel.OPTIMIZED: 1.2,
MiningPerformanceLevel.QUANTUM_BOOST: 1.8, # label-only boost
MiningPerformanceLevel.MAXIMUM_POWER: 2.5,
MiningPerformanceLevel.ZERO_ENTROPY: 3.0 # metric label
}
return boosts.get(self.performance_level, 1.0)
def _get_entropy_reduction(self) -> float:
reductions = {
MiningPerformanceLevel.OPTIMIZED: 0.9,
MiningPerformanceLevel.QUANTUM_BOOST: 0.7,
MiningPerformanceLevel.MAXIMUM_POWER: 0.5,
MiningPerformanceLevel.ZERO_ENTROPY: 0.3
}
return reductions.get(self.performance_level, 1.0)
def _get_phase_optimized(self) -> float:
return (self.evolution_cycle * 0.01) % (2 * math.pi)
def _apply_entropy_optimization(self, index: int, position: int, layer: int) -> float:
pattern_value = (index * position * max(1, layer)) % 1000
dr = self._calculate_digital_root(pattern_value)
if dr in [3, 6, 9]:
return 1.5
if self._is_fibonacci_optimized(max(1, position), max(1, layer)):
return 1.3
return 1.0
def _is_fibonacci_optimized(self, a: int, b: int) -> bool:
if a == 0 or b == 0:
return False
ratio = max(a, b) / min(a, b)
return abs(ratio - self.phi) < 0.1
@staticmethod
def _calculate_digital_root(n: int) -> int:
while n > 9:
n = sum(int(d) for d in str(n))
return n
# ---------- Public stats ----------
def get_self_healing_performance_stats(self) -> Dict:
if not self.hash_rate_history:
current_hash_rate = 0.0
trend = 0.0
else:
current_hash_rate = self.hash_rate_history[-1]
trend = (self.hash_rate_history[-1] - self.hash_rate_history[0]) / max(1, len(self.hash_rate_history) - 1)
return {
'performance_level': self.performance_level.value,
'evolution_cycle': self.evolution_cycle,
'current_hash_rate': f"{current_hash_rate:,.0f} H/s",
'hash_rate_trend': f"{trend:+.0f} H/s per cycle",
'performance_multiplier': f"{self.performance_multiplier:.2f}x",
'entropy_state': f"{self.entropy_state}/9",
'consecutive_9_cycles': self.consecutive_9_cycles,
'healing_cycles': self.healing_cycles,
'optimal_batch_size': self.optimal_batch_size,
'success_patterns': len(self.success_patterns),
'boost_active': self.performance_multiplier > 1.0,
'system_health': 'EXCELLENT' if self.healing_cycles > 0 else 'STABLE'
}
==================== Controller ====================
class SelfHealingMiningController:
"""
Orchestrates the miner and aggregates basic performance metrics.
"""
def __init__(self):
self.quantum_miner = SelfHealingQuantumMiner(MiningPerformanceLevel.MAXIMUM_POWER)
self.total_blocks_mined = 0
self.total_hash_rate = 0.0
def mine_with_self_healing(
self,
job_data: Dict,
target: str,
extranonce1: str,
extranonce2_size: int
) -> Optional[Dict]:
result = self.quantum_miner.mine_with_self_healing_power(job_data, target, extranonce1, extranonce2_size)
if result:
self.total_blocks_mined += 1
self.total_hash_rate = max(self.total_hash_rate, result['hash_rate'])
self._print_success(result)
return result
return None
def _print_success(self, result: Dict):
stats = self.quantum_miner.get_self_healing_performance_stats()
print("\n" + "=" * 64)
print("π Mining candidate accepted")
print("=" * 64)
print(f"Blocks (accepted in demo): {self.total_blocks_mined}")
print(f"Hash Rate: {result['hash_rate']:,.0f} H/s")
print(f"Perf Multiplier: {result['performance_boost']:.2f}x")
print(f"Entropy Metric: {result['entropy_state']}/9")
print(f"Healing Cycles: {result['healing_cycles']}")
print("=" * 64)
def get_system_performance(self) -> Dict:
miner_stats = self.quantum_miner.get_self_healing_performance_stats()
return {
**miner_stats,
'total_blocks_mined': self.total_blocks_mined,
'peak_hash_rate': f"{self.total_hash_rate:,.0f} H/s",
'system_efficiency': f"{(self.total_blocks_mined / max(1, self.quantum_miner.evolution_cycle)) * 100:.1f}%"
}
==================== Demo Harness ====================
def create_sample_mining_job():
"""Minimal header-like tuple for demonstration only."""
return (
"job_demo_001",
"0000000000000000000000000000000000000000000000000000000000000000",
"01000000010000000000000000000000000000000000000000000000000000000000000000",
"ffffffff01",
[],
"20000000",
"ffff001d",
"5f5e0c2a",
True
)
def run_self_healing_demo():
print("βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ")
print("β Geometric Self-Healing Mining Demo (toy) β")
print("β Harmonic modulation β’ Hex/Nonagon symmetry β’ Entropy metric β")
print("βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ")
controller = SelfHealingMiningController()
sample_job = create_sample_mining_job()
target = "0000ffff" # very easy demo target
extranonce1 = "a1b2c3d4"
extranonce2_size = 4
print("\nParameters:")
print(f" job_id: {sample_job[0]}")
print(f" target: {target}")
print(f" running...")
start = time.time()
result = controller.mine_with_self_healing(sample_job, target, extranonce1, extranonce2_size)
elapsed = time.time() - start
if result:
print(f"\nβ
Demo accepted a candidate in {elapsed:.2f}s")
print(f" nonce={result['nonce']}")
print(f" hash_rateβ{result['hash_rate']:,.0f} H/s")
else:
print(f"\nβ³ Demo finished in {elapsed:.2f}s (no candidate under target)")
print("\nFinal performance snapshot:")
stats = controller.get_system_performance()
for k, v in stats.items():
print(f" {k}: {v}")
return controller
if name == "main":
try:
controller = run_self_healing_demo()
except KeyboardInterrupt:
print("\nβΉοΈ Demo interrupted by user")
except Exception as e:
print(f"\nβ Demo error: {e}")