| """ |
| 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 |
|
|
| |
| 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 = [] |
|
|
| |
| 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})") |
|
|
| |
| 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()) |
|
|
| |
| 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()) |
|
|
| |
| 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()) |
|
|
| |
| 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()) |
|
|
| |
| 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()) |
|
|
| |
| 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()) |
|
|
| |
| 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()) |
|
|
| |
| 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()) |
|
|
| |
| 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]}") |
|
|
| |
| print("\n[ADVANCED STRATEGIES] Running quantum-inspired and game-theoretic analyses...") |
|
|
| |
| 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()) |
|
|
| |
| 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()) |
|
|
| |
| 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()) |
|
|
| |
| 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_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) |
|
|
| |
| 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)) |
|
|
| |
| 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}") |
|
|
| |
| 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}") |
|
|
| |
| 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() |
|
|