Claims — Object

Every claim on Object and the pages under it, one line each: name, tier, verifier. 28 claims at this build. All sections.

Object

• The limit object rule — explore_limit_object.py
• The sieve identity property — explore_sieve_connection.py
• The generator-step escape rule — explore_unit_escape.py
• The genesis ladder rule — explore_genesis_ladder.py
• The transparency criterion property — explore_lambda_tower.py
• The Linnik ordering rule — explore_linnik_injectivity.py
• The serial ledger rule — explore_double_birth.py

Classical structure

• The geometry/dynamics split rule — explore_tower_geometry.py
• Curvature approaches one rule — explore_tower_geometry.py
• The shell distribution rule — explore_tower_geometry.py
• The Betti numbers count the idempotents rule — explore_tower_geometry.py
• The subset spectrum is a subset-sum problem rule — explore_torus_geometry.py, explore_subset_sum_weld.py
• The clique complex is a wedge of circles theorem — explore_clique_betti.py
• How a sub-ring's complex sits inside rule — explore_naming_complex.py
• Naming is a covering condition no symmetry carries rule — explore_naming_complex.py
• The seed-flower map is a map of homotopy types property — explore_seed_flower_complexes.py
• Torus knots and Brieskorn spheres over the channels rule — explore_torus_knots.py

The frequency response

• The eigenvalue fingerprint theorem — explore_eigenvalue_operator.py, explore_spectral_theorem.py, explore_powered_fingerprint.py, explore_powered_theorem.py, explore_eigenvalue_landscape.py
• The channel gates property — explore_moment_resonance.py
• Static blindness, dynamical sight observation — explore_resonance_transparency.py
• The plateau decomposition rule — explore_plateau_collisions.py
• The collision rate without the spectrum rule — explore_plateau_rate.py

The seed-flower

• The reciprocal naming criterion criterion — explore_tower_naming.py, explore_naming_complex.py, explore_chi_primality.py
• The factorization rule rule — explore_seed_flower_k8.py, explore_rich_rungs.py, explore_rich_rung_constants.py
• The primality gate rule — explore_chi_primality.py, explore_chi_decay_constant.py
• The prediction horizon rule — explore_horizon_rate.py, explore_horizon_route.py
• Why the naming misses pattern — explore_missed_primes.py, explore_davenport_egz.py, explore_cunningham_bias.py
• The seed-flower operator observation — explore_seed_flower_operator.py