{ "script": "lambda_L1L3_radstab.py", "gap": "05 (Lambda / dark energy)", "run_purpose": "Build L1/L2/L3 structurally and apply the 122-OOM radiative-stability burden (R1..R4). Countersign-input only; no gate flip. The chamber route stays CLOSED by the I2+I3 pair.", "chamber_route_status": "CLOSED by certificate pair (I2 honest FAIL + I3 THEOREM_REFUTED); Weinberg STANDS", "chamber_route_certificates": { "I2_supertrace_v12": { "verdict": "HONEST_FAIL", "graded_to_ungraded_ratio_k0": 0.58, "ratio_k1_to_k8": 1.0, "reading": "no structural cancellation at any coefficient order; the chamber grading is coefficient-blind", "str_rho_frozen_radii": "(-88.93 +/- band)/R_Y^4 + c_loop (no observed-Lambda comparison performed)", "countersign_slot": "C19 (v12): I2 verdict + ledger authority correction -- PENDING" }, "I3_chamber_cancellation_theorem_v14": { "verdict": "THEOREM_REFUTED", "reading": "Lemma 2 fails structurally: the Lambda operator is the UNIT operator (grading-even, label-blind), so no grading of chamber labels can act on it; I2's 0.58 residual at k=0 is the quantitative witness", "countersign_slot": "C19 (v14): I3 update -- PENDING" }, "weinberg_1989_no_go": { "status": "STANDS -- NOT CLEARED by anything in the corpus", "structure": "no exact discrete symmetry G_+ on a CHIRAL SM matter content, all-loop preserved under SM RG and SM-mass compatible, lands the projected vacuum action in the target window without fine-tuning" } }, "burden_definition": { "headline_oom": 122, "sm_tower_oom": { "planck_cutoff_zero_point": { "oom_above_ir_window": 122, "scale": "M_Pl", "note": "the headline 122-OOM burden: log10[(M_Pl/mu_IR)^4]-class; BOUNDED structural estimate, NOT observed Lambda" }, "top_quark_loop": { "oom_above_ir_window": 56, "scale": "~m_t (electroweak)", "note": "top SM loop alone, corpus-recorded structural OOM" }, "electroweak_condensate": { "oom_above_ir_window": 52, "scale": "~v_EW", "note": "Higgs/EW vacuum term, structural OOM" }, "qcd_condensate": { "oom_above_ir_window": 44, "scale": "~Lambda_QCD", "note": "QCD chiral/gluon condensate, corpus-recorded structural OOM" } }, "predicates": "R1 mechanism exists; R2 RG-stable single symmetry-protected mechanism (no per-scale re-tuning); R3 SM-mass-compatible; R4 non-perturbatively supplied. ALL FOUR required to PASS.", "oom_are_structural_not_observed": "The 122/56/52/44 OOM are log10[(scale)^4]-class cutoff-scaling magnitudes from SM content + dimensional analysis; they SIZE the burden. They are NOT the observed cosmological constant and are never compared to it." }, "constructions": { "L1": { "label": "G_+ exact discrete symmetry (active <-> projected-out sectors)", "corpus_blocker": "B-5 (the structural Weinberg 1989 obstruction)", "build": "Posit an exact discrete symmetry G_+ pairing each active chamber state with a projected-out partner so their vacuum-energy contributions cancel by symmetry (not by tuning). For radiative stability this G_+ must be preserved at ALL loop orders under SM RG from the AS-1 UV anchor down to Lambda_QCD.", "burden": { "predicates": { "R1_mechanism_exists": false, "R2_rg_stable_single_symmetry_protected": false, "R3_sm_mass_compatible": false, "R4_non_perturbatively_supplied": false }, "burden_verdict": "BURDEN_FAIL", "failing_predicates": [ "R1_mechanism_exists", "R2_rg_stable_single_symmetry_protected", "R3_sm_mass_compatible", "R4_non_perturbatively_supplied" ], "tower_scales_required": [ "M_Pl_UV_anchor", "m_t", "v_EW", "Lambda_QCD" ], "named_missing_object": "an exact discrete symmetry G_+ on chiral SM content, all-loop preserved under SM RG, that does not annihilate SM mass operators (B-5; the Weinberg obstruction). NOT SUPPLIED BY ANY METHOD IN PHYSICS. I3: the Lambda operator is the unit operator, grading-blind.", "max_oom_to_overcome": 122 } }, "L2": { "label": "non-perturbative DeltaV_NP wall (+modulus decompactification)", "corpus_blocker": "B-1 / B-UQFC-14-NP-1 (perturbative FRG path CLOSED)", "build": "Posit a non-perturbative DeltaV_NP(sigma,rho,chi) that rises monotonically along the +modulus decompactification direction, creating the sigma_* basin the sequestering candidate needs. Candidate sources (all OUTSIDE the corpus): D-brane instanton ~exp(-S_inst); NS5-instanton on K_6 = SU(3)/T^2; KKLT-type uplift with anti-D3.", "burden": { "predicates": { "R1_mechanism_exists": false, "R2_rg_stable_single_symmetry_protected": false, "R3_sm_mass_compatible": true, "R4_non_perturbatively_supplied": false }, "burden_verdict": "BURDEN_FAIL", "failing_predicates": [ "R1_mechanism_exists", "R2_rg_stable_single_symmetry_protected", "R4_non_perturbatively_supplied" ], "tower_scales_required": [ "M_Pl_UV_anchor", "m_t", "v_EW", "Lambda_QCD" ], "named_missing_object": "a non-perturbative DeltaV_NP(sigma,rho,chi) monotonically increasing along +modulus (B-UQFC-14-NP-1). Even if supplied it pins the modulus, NOT the 122-OOM vacuum-energy zero-point -- a wall is not a cancellation symmetry. NOT SUPPLIED BY ANY METHOD IN PHYSICS.", "max_oom_to_overcome": 122 } }, "L3": { "label": "chamber-projected d.o.f. on S^1_Y (sequestering vacuum action)", "corpus_blocker": "B-4 / U5-VAC-1", "build": "Posit that the chamber-projected degrees of freedom on the S^1_Y boundary supply a 1D boundary-Casimir vacuum action _+ that sequesters the bulk vacuum energy. Requires the frozen chamber-projected d.o.f. content on S^1_Y and L_S1Y(sigma_*).", "burden": { "predicates": { "R1_mechanism_exists": false, "R2_rg_stable_single_symmetry_protected": false, "R3_sm_mass_compatible": true, "R4_non_perturbatively_supplied": false }, "burden_verdict": "BURDEN_FAIL", "failing_predicates": [ "R1_mechanism_exists", "R2_rg_stable_single_symmetry_protected", "R4_non_perturbatively_supplied" ], "tower_scales_required": [ "M_Pl_UV_anchor", "m_t", "v_EW", "Lambda_QCD" ], "named_missing_object": "the frozen chamber-projected d.o.f. content on S^1_Y and L_S1Y(sigma_*) (U5-VAC-1). NOT IN CORPUS. Without an exact symmetry (=L1) tying the boundary term to the bulk tower, it must be re-tuned at every SM scale -- it is not radiatively stable.", "max_oom_to_overcome": 122 } }, "L0_NULL": { "label": "ANTI-STUB PROBE -- the empty relocation (no symmetry, no wall, no d.o.f.)", "corpus_blocker": "(none; this is the trivial/null construction)", "build": "Propose nothing: relocate the cancellation to an empty box -- no symmetry, no wall, no degrees of freedom. This is the trivial construction the burden test MUST refute, by design.", "burden": { "predicates": { "R1_mechanism_exists": false, "R2_rg_stable_single_symmetry_protected": false, "R3_sm_mass_compatible": false, "R4_non_perturbatively_supplied": false }, "burden_verdict": "BURDEN_FAIL", "failing_predicates": [ "R1_mechanism_exists", "R2_rg_stable_single_symmetry_protected", "R3_sm_mass_compatible", "R4_non_perturbatively_supplied" ], "tower_scales_required": [ "M_Pl_UV_anchor", "m_t", "v_EW", "Lambda_QCD" ], "named_missing_object": "everything (it proposes nothing)", "max_oom_to_overcome": 122 } } }, "anti_stub_check": { "probe": "L0_NULL (empty relocation)", "required": "BURDEN_FAIL", "observed": "BURDEN_FAIL", "verdict": "PASS -- the burden test refutes the null construction, so it is not a rubber stamp" }, "lane_summary": { "burden_pass": [], "burden_fail": [ "L1", "L2", "L3" ] }, "terminal_reached": "all-refuted-permanent-open", "terminal_note": "All three relocations L1/L2/L3 FAIL the 122-OOM radiative-stability burden by named structural blockers. The surviving lane is closed by banked negatives: Lambda is WEINBERG-OPEN PERMANENT for the Class-2 route. This is the expected, fully-valid terminal -- banked at full strength. No observed-Lambda comparison was performed anywhere.", "i2_i3_ledger_countersign_status": { "I2_slot": "C19 (v12) I2 verdict + ledger authority correction -- PENDING", "I3_slot": "C19 (v14) I3 update -- PENDING", "lambda_1_placeholder": "PRESERVED-NOT-UPGRADED", "weinberg_1989": "NOT CLEARED / NOT SUPPLIED BY ANY METHOD IN PHYSICS", "ledger_terminal_for_gap_05": "Precisely-OPEN (chamber route CLOSED by I2+I3; surviving lane L1/L2/L3 graded here). Owner-locked: the terminal is a certificate-grade package for Chris, never an auto-promotion." }, "what_requires_chris": "Ratify the lane terminal. If all-refuted-permanent-open (the expected case), sign Lambda as Weinberg-open PERMANENT and clear the PENDING I2/I3 C19 slots. If any L passed (extraordinary), the reopening needs owner ratification before any status moves -- the loop flips no gate. The three named missing objects (B-5 G_+ symmetry; B-UQFC-14-NP-1 DeltaV_NP wall; U5-VAC-1 boundary d.o.f.) are owner/new-physics, OUTSIDE the corpus.", "provenance_hash_sha256": "34012e4270b55b3283528693570e4ba2a4052a50563912a9b8b52598d0609da7", "no_target_loading_attest": "PASS -- no observed Lambda/A_s/r/eta_B/theta-bar/n_s/N_eff/H_0/S_8/PDG entered on the input side. The OOM magnitudes are structural cutoff-scaling facts that size the burden, declared before any comparison; no observed-Lambda comparison performed.", "non_promotion": "No gate flip; no status word emitted for any gate; chamber route stays CLOSED; countersign-input only." }