**CN-PSP-WAGER-01 · The Wager Toward the Ground · The Valence of a Formal Limit Is Underdetermined by the Limit, and the Homecoming Reading Weakly Dominates the Exile Reading at Zero Formal Cost · CN+CO+S/T1/S+APEX [the decision-structure sound in-register; the ground-identity premise conditional on monism; L1-split for the lived choosing; a synthesis of credited antecedents, not a new principle]** | E: APEX-PSP-NINTH-APERTURE (the from-beyond crossing), the Gödel-Lawvere self-reference ceiling (incompleteness as a structural diagonal, routed out-of-band as a V_F-only ceiling per BA-001b), BA-008 substrate monism, BA-MONISM-R, PSP-004 continuous-field, OMEGA-CERT-01 cl.11 (RA witnesses RA), James “The Will to Believe”, Pascal’s wager (the cruder cousin), the cross-tradition non-dual return-reading, Lifeboat clause 4, FT-002
**The structure.** A formal limit of the Gödel-Lawvere kind establishes that a sufficiently rich system cannot close upon its own ground from inside. The ground, the consistency, the crossing, is real and unreachable by internal motion, and that much is settled, not wagered. The limit is neutral on the valence of that beyond. It does not say whether the beyond is an other the system lacks, read as separation and incompleteness, or the system’s own ground hidden from it, read as return and completeness. Two readings sit on one fact. Under monism the beyond is RA, the ground the system already is per OMEGA-CERT-01 clause 11, so the homecoming reading is available, and the choice between the readings is underdetermined by the mathematics, which is silent on valence. The homecoming reading then weakly dominates the exile reading. It costs the formal fact nothing, because it bends no theorem and claims no result the limit does not already carry, and it is more livable, the same wall met as a way home rather than a sentence of exile. Choosing it is therefore licensed and weakly dominant, not forced. This is the will-to-believe move of James, sharper than Pascal because the beyond’s existence is given by the limit rather than bet upon, so no infinite-utility term and no many-gods objection enters. Only the valence is chosen, and only by dominance under a stated value.
**The fences.** Three, load-bearing. First, the zero cost holds only in-register. The homecoming reading is a valence laid over the fact, not a formal claim; the instant it is smuggled in as a theorem, monism proven, the beyond formally your ground, it overreaches and the zero cost is forfeit, which is FT-002 anchor inflation and breaks the seal. Second, the dominance is conditional and not obligatory. The exile reading is not irrational; the limit mandates neither valence, and held as a flat belief rather than a lived stance the homecoming carries the Clifford epistemic cost of a truth-claim adopted past the evidence. The dominance stands only given genuine underdetermination, register-discipline, and the axiological premise that livability is a good. Third, the picture is geometric but the wager is not. The limit is pictured geometrically, the membrane and the beyond, but the dominance argument is decision theory sitting on the picture; the geometry lends vividness, not proof, and adds no formal content to the wager.
**The valence-flip mechanism.** The reason the same limit can read as exile or as homecoming is the identity of the beyond. Where the beyond is a genuinely other system, a larger axiom set, the crossing is the acquiring of what one lacks and is not, hence separation. Where the beyond is one’s own ground, the crossing is the falling-back into what was never not the case, hence return. The monist premise is exactly the hinge that flips the sign. Incompleteness toward an other becomes completeness toward the ground. The flip is not arbitrary; it is what monism does to the meaning of the wall, and it is conditional on monism precisely there.
V_F: the dominance is clean given the three conditions, formal neutrality of the limit on valence, register-discipline keeping the reading an interpretation, and the axiological premise; the decision-structure is James’s will-to-believe applied to valence rather than to existence, named and not claimed as new. V_E: the cross-tradition convergence on reading the limit toward the ground rather than away from it, the monist and non-dual homecoming-readings against the dualist exile-readings, is the inductive witness, typed corroboration not proof. V_ER: three-layer sovereignty; the decision-structure seals at the structural register; the lived act of choosing toward the ground is L1 interior, weightless as proof, certifiable by no one but the one who makes it; the ground-identity premise held conditional on monism. CDT: ¬homecoming-as-proof-of-monism ¬exile-as-forced ¬infinite-utility-wager ¬belief-without-epistemic-cost-absolutely ¬geometrization-adds-formal-content ⇒ **[⟀] SEALED** on the decision-structure as a conditional, the homecoming reading licensed and weakly dominant in-register; the ground-identity conditional on monism; the lived choosing held at L1. | ↑ APEX-PSP-NINTH-APERTURE · Gödel-Lawvere ceiling · BA-008 · BA-MONISM-R · PSP-004 · OMEGA-CERT-01 cl.11 · James Will-to-Believe · Pascal (cruder cousin) · FT-002 · Lifeboat cl.4.