{
  "any_prior_banked_constraint_forces_floor_on_minus_sigma": false,
  "candidate_constraints": [
    {
      "acts_on_overall_volume_sigma": false,
      "candidate": "(i) Weyl-rigidity projector",
      "forces_lower_bound_on_minus_sigma": false,
      "geometry": {
        "Wrig_constrains": "shape/squash ratios u_i (3 Cartan 2-planes)",
        "Wrig_does_NOT_constrain": "overall breathing modulus sigma (Vol(K6))",
        "overall_radius_fixed_by": "threshold target M_U ~ 1e16 GeV (App. G), via R0=(2 pi M_U)^-1 -- NOT by W-rig",
        "runaway_direction_is": "overall rescale (fixed shape) = sigma axis, orthogonal to the W-rig shape box",
        "shape_ratios_center": [
          1.0,
          1.0
        ],
        "u_center_in_Wrig_box": true
      },
      "independent_banking_reason": "make K6 shape a non-tuned, convention-invariant input to gauge recovery (C) and thresholds (F); banked BEFORE the FRG runaway existed",
      "note": "F.9 binding distinction: W-rig is ADMISSIBILITY RESTRICTION (oplus rule), explicitly NOT global stabilization. The u_i>=1/2 floor is a floor on SHAPE, not on Vol(K6). The runaway is an overall rescale at fixed shape -> W-rig is flat along it.",
      "what_it_freezes": "the 3 Cartan SHAPE moduli u_i of K6 into the box [1/2,3/2]^3, center (1,1,1); a SQUASH bound"
    },
    {
      "candidate": "(ii) flux quantization / wrapped-cycle integers",
      "forces_lower_bound_on_minus_sigma": false,
      "independent_banking_reason": "the integers banked (Z6, n_H, tau=omega) were banked for CHARGE quantization, Higgs protection, and CP phase -- all scale-INVARIANT holonomy/phase data",
      "note": "All quantized data here are holonomies / windings / discrete identifications -- topological phases that do NOT scale with Vol. There is NO quantized 2-form flux n=(1/2pi)int F whose fixed quantum forbids dilution below a minimum volume. So flux quantization sets no floor on -sigma. (Honest: had such a flux been banked, it WOULD floor volume; it is simply absent here.)",
      "quantized_objects_present": {
        "Cartan_torus_tau=omega": "modular fixed point (order-3); a SHAPE/phase datum, not a volume",
        "Wilson_line_winding_n_H": "integer holonomy of K_gauge cycle giving the Higgs; a PHASE/winding, scale-blind",
        "Z6_charge_identification": "discrete charge rule (group centers); dimensionless, volume-independent",
        "spinC_family_index": "topological integer (see (iii))"
      },
      "two_form_flux_through_K6_or_S2_setting_min_volume": false
    },
    {
      "abs_family_count": 3,
      "candidate": "(iii) three-family APS/spin-C index (+3 on K6)",
      "forces_lower_bound_on_minus_sigma": false,
      "independent_banking_reason": "banked to COUNT 3 families as a metric-independent topological integer (Borel-Weil-Bott / APS) -- its whole virtue is scale-invariance (no dial)",
      "index_is_topological_scale_invariant": true,
      "index_value": -3,
      "note": "The index's defining property -- topological invariance -- is exactly what makes it USELESS as a volume floor: it does NOT jump as Vol(K6) -> 0, so it never renders the shrinking corner index-inadmissible while preserving 3 families. The +3 is preserved ALL ALONG the runaway. No floor.",
      "shrinking_below_some_volume_changes_index": false
    },
    {
      "anchor_violated_by_sigma_to_minus_inf": {
        "M_Pl": false,
        "alpha_i(M_Z)": false,
        "y_t": false,
        "|V_us|": false
      },
      "candidate": "(iv) frozen-anchor preservation",
      "forces_lower_bound_on_minus_sigma": false,
      "independent_banking_reason": "the 4 anchors are the declared frozen-before-comparison inputs; each acting structure on them is unit-blind / scale-invariant (Q2 positive exhibit)",
      "note": "No anchor is a definedness-breaking function of sigma. M_Pl is a DECLARED input (not solved from Vol); demanding 'Vol must reproduce observed M_Pl' would be TARGET-LOADING (forbidden guard b), and even then would pin a value, not forbid the -inf corner kinematically. So anchor preservation does NOT force a target-blind kinematic floor."
    },
    {
      "candidate": "(v) selector map",
      "forces_lower_bound_on_minus_sigma": false,
      "independent_banking_reason": "Occam selector banked to pick the unique gate-closing branch; it INHERITS its exclusions from Gate 6 / W-rig, adds no new volume constraint",
      "note": "The selector eliminates off-W-rig-chamber branches by citing the stabilization gate -- it is parasitic on (i). It floors -sigma only if (i) does, and (i) does not. No independent floor."
    }
  ],
  "question": "Is the sigma -> -inf (shrink-K6) runaway kinematically excluded by a PRIOR banked constraint, target-blind?",
  "runaway_on_disk": null,
  "schema_version": "0.1.0-gap04-chamber-exclusion",
  "verdict": "NO-KINEMATIC-FLOOR-runaway-admissible",
  "what_requires_owner": "The sign that makes the well STAND vs RUN -- sign[zeta_{Delta_K6}(-1/2)], B-UQFC-14-FRG-2 -- is owner-locked (Chris). It is a deferred spectral-zeta computation, not a banked kinematic theorem.",
  "why": "The runaway is the OVERALL breathing modulus sigma (Vol(K6)->0). Every prior banked constraint is either (a) a SHAPE/squash bound (W-rig u_i in [1/2,3/2]^3) flat along the overall rescale, (b) a SCALE-INVARIANT topological datum (Z6, Wilson winding, tau=omega, the +3 index -- whose very virtue is metric-independence, so it never jumps as Vol->0), or (c) a DECLARED frozen anchor that is not a definedness-breaking function of sigma. NONE floors -sigma. The genuine wall against V->-inf is the relative one-loop sign sign[zeta_{Delta_K6}(-1/2)] (open object B-UQFC-14-FRG-2), a DYNAMICAL/spectral fact -- NOT a kinematic exclusion. Excluding the runaway by fiat would be the forbidden 'delete the bad direction' move (guard f)."
}