vacuum_fluctuation_discrepancy_structurally_addressed
plain-language theorem explainer
Existence of a structural certificate that the RS cosmological constant bypasses the QFT vacuum-mode sum, so the classic 10^120 discrepancy never arises. Cosmologists and QG auditors cite it as the Track 4.B master theorem. The proof is a one-constructor term: the prebuilt certificate witness inhabits the nonempty type.
Claim. There exists a structural certificate asserting that the RS density parameter equals $\Omega_\Lambda = 11/16 - \alpha_{\mathrm{CODATA}}/\pi$, is independent of any QFT UV cutoff, that the naive QFT vacuum energy depends on that cutoff, and that the RS value lies in the observed Planck/DESI/SN1a band and is consistent with Planck 2018 at $2\sigma$.
background
Track 4.B of the RS quantum-gravity plan treats the cosmological-constant problem as a structural mismatch, not a fine-tuning puzzle. Standard QFT estimates vacuum energy by summing zero-point modes up to a UV cutoff near the Planck scale, yielding $\sim M_{\mathrm{Pl}}^4$ and a $\sim 10^{120}$ gap versus observed $\Lambda$. RS never routes $\Lambda$ through that sum.
Instead $\Omega_\Lambda$ is fixed by a phase-mode budget: the integer factor $11/16$ comes from forced combinatorics ($[4,2,2]$ Gray-code addressing times the eight-tick octave), and the sole measured correction is $\alpha/\pi$ with CODATA $\alpha$ as an external anchor (exact $\alpha$ is a free boundary datum inside RS). The certificate structure packages four claims: the closed form, cutoff independence of the RS value, genuine cutoff dependence of the QFT-naive estimate, and observational band membership.
Upstream, omega_lambda is already derived in OmegaLambdaDerivation with one measured input; the local module only records that this derivation has zero QFT vacuum-mode input and therefore structurally addresses the discrepancy.
proof idea
One-line term proof. The module already builds a concrete inhabitant vacuumFluctuationStructuralCert of the certificate structure, filling each field from prior lemmas (omega_lambda_canonical_form, omega_lambda_independent_of_QFT_cutoff, and the QFT-naive parameter-dependence argument). The theorem is just Nonempty.intro of that witness: ⟨vacuumFluctuationStructuralCert⟩. No new algebra is performed at this site.
why it matters
This is the master theorem of Cosmology Track 4.B (quantum-gravity master plan §4): it closes the vacuum-fluctuation discrepancy as a non-problem inside RS. Parent consumers are external auditors and any downstream one-statement packaging (the sibling Track 4.B one-statement theorem). Framework landmarks in play are the eight-tick octave (T7) that forces the $11/16$ combinatorics and the single measured $\alpha$ boundary datum. Used-by count is presently zero inside the mirror; the declaration is an export-facing existence claim rather than an internal lemma. It does not compute a new numerical prediction; it certifies that the existing $\Omega_\Lambda$ derivation never enters the QFT vacuum-sum channel, so the $10^{120}$ clash is structurally absent rather than cancelled.
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