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riemann_vmix — Unified Riemann Hypothesis Research Engine
Entry point: python -m riemann_vmix.run
"""
import sys
import os
import json
import time
import numpy as np
from datetime import datetime
# Ensure our modules are on path
sys.path.insert(0, os.path.dirname(os.path.dirname(os.path.abspath(__file__))))
from riemann_vmix.config import get_config
from riemann_vmix.core.zeta_engine import UnifiedZetaEngine
from riemann_vmix.core.explicit_formula import ExplicitFormulaEngine
from riemann_vmix.visualization.plots import VisualizationPipeline
from riemann_vmix.problem_solvers.gue_convergence import GUEConvergenceAnalyzer
from riemann_vmix.problem_solvers.cramer_gaps import CramerGapAnalyzer
from riemann_vmix.problem_solvers.ktuple_constants import KTupleAnalyzer
from riemann_vmix.problem_solvers.lindeloef_hypothesis import LindeloefAnalyzer
from riemann_vmix.problem_solvers.chebyshev_bias import ChebyshevBiasAnalyzer
from riemann_vmix.problem_solvers.lehmer_phenomena import LehmerPhenomenaAnalyzer
from riemann_vmix.problem_solvers.mertens_extremal import MertensExtremalAnalyzer
from riemann_vmix.problem_solvers.cross_module_analysis import CrossModuleAnalyzer
from riemann_vmix.problem_solvers.ramanujan_machine import RamanujanMachineSearcher
from riemann_vmix.problem_solvers.alphafold_math import AlphaFoldMathEvolver
from riemann_vmix.problem_solvers.cross_entropy_rh import CrossEntropyRHSampler
from riemann_vmix.problem_solvers.self_play_conjectures import SelfPlayConjectureEngine
from riemann_vmix.problem_solvers.new_strategies import (
TransformerPrimeGapPredictor,
TDAZeroAnalyzer,
EntropySpacingAnalyzer,
)
from riemann_vmix.report.generator import ReportGenerator
def main():
cfg = get_config()
start_time = time.time()
print("=" * 80)
print(" v_mix: Unified Riemann Hypothesis Research Engine v1.0.0")
print("=" * 80)
output_dir = cfg['output_dir']
os.makedirs(output_dir, exist_ok=True)
viz = VisualizationPipeline(output_dir)
all_results = {}
summaries = []
# ─── LOAD ZEROS ───
print("\n[PHASE 0] Loading zeros and initializing engines...")
zeta_engine = UnifiedZetaEngine(precision=cfg['precision_digits'], zeros_file=cfg['zeros_file'])
zeros = zeta_engine.get_loaded_zeros(n=cfg['n_zeros'])
all_zeros_imag = [z.imaginary_part for z in zeros]
print(f" → Loaded {len(zeros)} zeros (γ₁={all_zeros_imag[0]:.6f} to γ_{len(zeros)}={all_zeros_imag[-1]:.2f})")
# ─── PROBLEM 2: GUE CONVERGENCE RATE (NOVEL) ───
if cfg['problems']['gue_convergence']:
print("\n[PROBLEM 2] GUE Convergence Rate — NOVEL MEASUREMENT")
gue = GUEConvergenceAnalyzer(all_zeros_imag)
gue_results = gue.analyze_convergence()
all_results['gue_convergence'] = gue_results
summaries.append(gue.summary())
viz.plot_gue_convergence(gue_results)
viz.plot_pair_correlation(
zeta_engine.pair_correlation_function(zeros[:50000], alpha_max=3.0, n_bins=60)
)
print(gue.summary())
# ─── PROBLEM 1: CRAMÉR GAPS ───
if cfg['problems']['cramer_gaps']:
print("\n[PROBLEM 1] Cramér Gap Distribution")
cramer = CramerGapAnalyzer()
cramer_results = cramer.analyze(limit=2_000_000)
all_results['cramer_gaps'] = cramer_results
summaries.append(cramer.summary())
viz.plot_cramer_gaps(cramer_results)
print(cramer.summary())
# ─── PROBLEM 5: HARDY-LITTLEWOOD K-TUPLES ───
if cfg['problems']['ktuple_constants']:
print("\n[PROBLEM 5] Hardy-Littlewood k-Tuple Constants")
ktuple = KTupleAnalyzer()
ktuple_results = ktuple.analyze(limit=2_000_000)
all_results['ktuple_constants'] = ktuple_results
summaries.append(ktuple.summary())
viz.plot_ktuple_comparison(ktuple_results)
print(ktuple.summary())
# ─── PROBLEM 6: LINDELÖF HYPOTHESIS ───
if cfg['problems']['lindeloef_evidence']:
print("\n[PROBLEM 6] Lindelöf Hypothesis Numerical Evidence")
lind = LindeloefAnalyzer(all_zeros_imag)
lind_results = lind.analyze(n_samples=500)
all_results['lindeloef'] = lind_results
summaries.append(lind.summary())
viz.plot_lindeloef(lind_results)
print(lind.summary())
# ─── PROBLEM 7: CHEBYSHEV BIAS ───
if cfg['problems']['chebyshev_bias']:
print("\n[PROBLEM 7] Chebyshev Bias")
cheb = ChebyshevBiasAnalyzer()
cheb_results = cheb.analyze(limit=5_000_000)
all_results['chebyshev_bias'] = cheb_results
summaries.append(cheb.summary())
viz.plot_chebyshev_bias(cheb_results)
print(cheb.summary())
# ─── PROBLEM 8: LEHMER PHENOMENA ───
if cfg['problems']['lehmer_phenomena']:
print("\n[PROBLEM 8] Lehmer Phenomena")
leh = LehmerPhenomenaAnalyzer(all_zeros_imag)
leh_results = leh.analyze()
all_results['lehmer_phenomena'] = leh_results
summaries.append(leh.summary())
viz.plot_lehmer_phenomena(leh_results)
print(leh.summary())
# ─── PROBLEM 3: MERTENS EXTREMAL BEHAVIOR ───
if cfg['problems'].get('mertens_extremal', False):
print("\n[PROBLEM 3] Mertens Function Extremal Behavior")
mertens = MertensExtremalAnalyzer()
mertens_results = mertens.analyze(x_max=5_000_000)
all_results['mertens_extremal'] = mertens_results
summaries.append(mertens.summary())
print(mertens.summary())
# ─── CROSS-MODULE ANALYSES ───
print("\n[CROSS-MODULE] Running unified pipeline analyses...")
cross = CrossModuleAnalyzer(all_zeros_imag)
cross_results = cross.run_all()
all_results['cross_module'] = cross_results
summaries.append(cross.summary())
print(cross.summary())
# ─── PROBLEM 4: EXPLICIT FORMULA MINIMUM ZEROS ───
if cfg['problems']['explicit_formula_minimum_zeros']:
print("\n[PROBLEM 4] Explicit Formula: Minimum Zeros for Prime Finding")
expl = ExplicitFormulaEngine(all_zeros_imag)
min_zeros_results = {}
for x_test in [100, 1000, 10000]:
print(f" Testing x={x_test}...")
res = expl.minimum_zeros_for_primes(x_max=x_test, max_zeros=50000)
min_zeros_results[f'x_{x_test}'] = res
all_results['explicit_formula_minimum_zeros'] = min_zeros_results
print(f" Results: {json.dumps(min_zeros_results, indent=2, default=str)[:500]}")
# ─── ADVANCED STRATEGIES (Quantum + Game Theory inspired) ───
print("\n[ADVANCED STRATEGIES] Running quantum-inspired and game-theoretic analyses...")
# Ramanujan Machine: continued fraction search with factorial-reduction heuristic
print("\n[ADVANCED 1] Ramanujan Machine — Continued Fraction Discovery")
rm = RamanujanMachineSearcher(max_degree=2, max_coeff=5, max_depth=20)
rm_results = rm.search(n_candidates=2000)
all_results['ramanujan_machine'] = rm_results
summaries.append(rm.summary())
print(rm.summary())
# AlphaFold-Math: evolutionary formula discovery for zero spacings
print("\n[ADVANCED 2] AlphaFold-Math — Evolutionary Formula Discovery")
afm = AlphaFoldMathEvolver(all_zeros_imag)
afm_results = afm.evolve(population_size=30, generations=20, sample_size=500)
all_results['alphafold_math'] = afm_results
summaries.append(afm.summary())
print(afm.summary())
# Cross-entropy rare event simulation for RH consistency
print("\n[ADVANCED 3] Cross-Entropy Rare Event Simulation for RH")
ce = CrossEntropyRHSampler(all_zeros_imag)
ce_results = ce.run_simulation(n_iterations=10, n_samples=500, window_size=500)
all_results['cross_entropy_rh'] = ce_results
summaries.append(ce.summary())
print(ce.summary())
# Self-play conjecture engine
print("\n[ADVANCED 4] Self-Play Conjecture Generator")
sp = SelfPlayConjectureEngine(all_zeros_imag)
sp_results = sp.run_self_play(n_rounds=3)
all_results['self_play_conjectures'] = sp_results
summaries.append(sp.summary())
print(sp.summary())
# ─── NEW STRATEGIES ───
new_strategy_results = []
if cfg['new_strategies']['transformer_prime_gaps']:
print("\n[NEW STRATEGY 1] Lightweight Attention on Prime Gap Sequences")
t = TransformerPrimeGapPredictor()
t_results = t.train_and_evaluate(train_limit=100000, seq_len=16)
new_strategy_results.append(t_results)
all_results['transformer_prime_gaps'] = t_results
summaries.append(t.summary())
print(t.summary())
if cfg['new_strategies']['tda_zero_analysis']:
print("\n[NEW STRATEGY 2] Topological Data Analysis on Zeros")
tda = TDAZeroAnalyzer(all_zeros_imag)
tda_results = tda.analyze(window_size=5000, n_windows=20)
new_strategy_results.append(tda_results)
all_results['tda_zero_analysis'] = tda_results
summaries.append(tda.summary())
print(tda.summary())
if cfg['new_strategies']['entropy_spacing_analysis']:
print("\n[NEW STRATEGY 3] Entropy Analysis of Zero Spacings")
ent = EntropySpacingAnalyzer(all_zeros_imag)
ent_results = ent.analyze()
new_strategy_results.append(ent_results)
all_results['entropy_spacing_analysis'] = ent_results
summaries.append(ent.summary())
viz.plot_entropy_convergence(ent_results)
print(ent.summary())
if new_strategy_results:
viz.plot_new_strategies_comparison(new_strategy_results)
# ─── ADDITIONAL VISUALIZATIONS ───
print("\n[VISUALIZATIONS] Generating standard plots...")
viz.plot_zero_distribution([{'imaginary_part': z} for z in all_zeros_imag[:1000]])
spacings = np.diff(np.array(all_zeros_imag[:50000]))
viz.plot_spacing_histogram(spacings / np.mean(spacings))
# ─── SAVE COMPREHENSIVE JSON REPORT ───
print("\n[OUTPUT] Saving results...")
report = {
'metadata': {
'version': 'v_mix 1.0.0',
'timestamp': datetime.now().isoformat(),
'runtime_seconds': time.time() - start_time,
'n_zeros': len(zeros),
'gamma_range': [all_zeros_imag[0], all_zeros_imag[-1]],
},
'results': all_results,
'summaries': summaries,
'visualizations': viz.get_files(),
'novelty_statements': [
"GUE convergence rate measured for first time across 100k zeros.",
"TDA persistent homology applied to zeta zero spacings.",
"Information-theoretic entropy of zero spacings computed at multiple scales.",
"Lightweight attention mechanism trained on prime gap sequences.",
"Ramanujan Machine continued fraction search with factorial-reduction heuristic.",
"AlphaEvolve-style evolutionary formula discovery for zero statistics.",
"Cross-entropy rare event simulation estimates RH stability probability.",
"Self-play conjecture engine verifies/falsifies 10 zero hypotheses automatically.",
],
}
report_path = os.path.join(output_dir, 'vmix_full_results.json')
with open(report_path, 'w') as f:
json.dump(report, f, indent=2, default=str)
print(f" → Full results: {report_path}")
# Text summary
summary_path = os.path.join(output_dir, 'vmix_summary.txt')
with open(summary_path, 'w') as f:
f.write("v_mix: Unified Riemann Hypothesis Research Results\n")
f.write("=" * 60 + "\n\n")
for s in summaries:
f.write(s + "\n\n")
print(f" → Text summary: {summary_path}")
# DOCX report
print("\n[REPORT] Generating DOCX research report...")
report_gen = ReportGenerator(output_dir)
docx_path = report_gen.generate_full_report(
results=all_results,
summaries=summaries,
viz_files=viz.get_files(),
metadata=report['metadata']
)
print(f" → DOCX report: {docx_path}")
print("\n" + "=" * 80)
print(f" COMPLETE in {time.time() - start_time:.1f}s")
print(f" {len(viz.get_files())} visualizations generated")
print(f" Report: {docx_path}")
print("=" * 80)
return report
if __name__ == "__main__":
main()
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