{ "title": "EVE Obstruction Tomography: Linear and Nonlinear Reconstruction from Feasibility and Cost", "version": "2.0.0", "date": "2026-09-20", "author_label": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "research_owner": "Maciej Nowicki", "artifact_type": "unreviewed theoretical preprint, code, and synthetic research data", "ai_assisted": true, "public_deposit_url": null, "doi": null, "peer_reviewed": false, "physical_validation": false, "historical_priority_established": false, "licenses": { "code": "MIT", "documentation_and_data": "CC-BY-4.0" }, "funding_declaration": "No funding information was supplied; no funding source is asserted.", "conflicts_declaration": "Project ownership and AI-assisted preparation are disclosed. No separate human conflict-of-interest declaration was supplied.", "scope": "Finite linear cost identification and conditional compact nonlinear flow identification from quadratic mismatch; explicit access and uncertainty assumptions", "data_summary": { "data_kind": "synthetic only", "exact_cases": 30, "noise_cases": 120, "divergence_cases": 48, "precision_cells": 24, "precision_trials": 96000, "exact_ranks_correct": true, "exact_generator_relative_error_max": 1.0277287309299685e-13, "exact_holdout_kernel_relative_error_max": 2.2161675474134224e-14, "exact_kernel_baseline_difference_max": 9.597130530809074e-14, "noise_certificates_valid": 120, "noise_bound_violations": 0, "alias": { "omega": 7.3, "principal_generator_relative_error": 0.8607103160519981, "two_clock_generator_relative_error": 3.584218476801149e-15, "max_residual": 7.827576238404352e-14, "min_margin": 0.44283169475288003, "modal_offdiagonal_norm": 2.1611026601482046e-14, "omega_max": 40.0 }, "divergence_slopes": [ { "design": "scalar_chain", "mode": 0, "predicted_exponent": 0, "fitted_cost_exponent": 0.0078069144928373906, "support_fitted_exponent": 0.0078069144928376326, "fit_points": 8, "fit_selection": "smallest eight predeclared epsilon values" }, { "design": "scalar_chain", "mode": 1, "predicted_exponent": 2, "fitted_cost_exponent": 1.9999565041497085, "support_fitted_exponent": 1.9999565041496963, "fit_points": 8, "fit_selection": "smallest eight predeclared epsilon values" }, { "design": "scalar_chain", "mode": 2, "predicted_exponent": 4, "fitted_cost_exponent": 3.999969648956175, "support_fitted_exponent": 3.9999696482710196, "fit_points": 8, "fit_selection": "smallest eight predeclared epsilon values" }, { "design": "scalar_chain", "mode": 3, "predicted_exponent": 6, "fitted_cost_exponent": 5.992266932401299, "support_fitted_exponent": 5.992268485696031, "fit_points": 8, "fit_selection": "smallest eight predeclared epsilon values" }, { "design": "two_output_chain", "mode": 0, "predicted_exponent": 0, "fitted_cost_exponent": 0.01383478057168313, "support_fitted_exponent": 0.013834780571683176, "fit_points": 8, "fit_selection": "smallest eight predeclared epsilon values" }, { "design": "two_output_chain", "mode": 1, "predicted_exponent": 0, "fitted_cost_exponent": 0.0017340251120889923, "support_fitted_exponent": 0.001734025112089103, "fit_points": 8, "fit_selection": "smallest eight predeclared epsilon values" }, { "design": "two_output_chain", "mode": 2, "predicted_exponent": 2, "fitted_cost_exponent": 1.99493447512335, "support_fitted_exponent": 1.9949344751231664, "fit_points": 8, "fit_selection": "smallest eight predeclared epsilon values" }, { "design": "two_output_chain", "mode": 3, "predicted_exponent": 2, "fitted_cost_exponent": 1.9895004541642036, "support_fitted_exponent": 1.9895004541640848, "fit_points": 8, "fit_selection": "smallest eight predeclared epsilon values" } ], "gaussian_error_max_absolute_deviation": 0.011261318022127764 }, "nonlinear_data_summary": { "version": "2.0.0", "data_kind": "synthetic_only", "support_counterexample_rows": 1280, "distance_grid_rows": 99846, "topology_witness_rows": 3003, "anchors": 600, "anchored_settings": 32, "anchored_query_rows": 19200, "scalar_anchored_loss_observations": 76800, "grid_certificates_passed": 6, "map_certificates_passed": 32, "drift_certificates_passed": 32, "noiseless_map_error_max": 3.510833468576701e-16, "baselines": [ { "h": 0.35, "affine_test_rmse": 0.01613997367409832, "quadratic_oracle_test_rmse": 1.0119610168772821e-16, "information_equivalent_response_error": 3.1401849173675503e-16, "note": "Oracle queries each test anchor; affine baseline extrapolates from training. Not a query-matched accuracy contest." }, { "h": 0.4949747468305833, "affine_test_rmse": 0.029336772856679263, "quadratic_oracle_test_rmse": 9.671483990268871e-17, "information_equivalent_response_error": 3.1401849173675503e-16, "note": "Oracle queries each test anchor; affine baseline extrapolates from training. Not a query-matched accuracy contest." } ] }, "supersedes_version": "1.0.0", "scientific_impact_rating": "Unestablished; transformative impact is not evidenced" }