cosmological_constant_problem
plain-language theorem explainer
The theorem asserts the cosmological constant problem: naive summation of zero-point energies up to the Planck scale predicts a vacuum density 10^122 times larger than observed. Cosmologists examining the hierarchy problem would cite it when contrasting QFT predictions with data. The proof is a one-line trivial assertion.
Claim. Summing zero-point energies over all modes with a Planck-scale cutoff yields vacuum energy density $10^{113}$ J/m³, while the observed cosmological constant density is $10^{-9}$ J/m³, producing a discrepancy of $10^{122}$ orders of magnitude.
background
The QFT.VacuumFluctuations module derives vacuum fluctuations from τ₀ discreteness: the uncertainty principle forces ΔE ≥ ℏ/(2τ₀) fluctuations that constitute the vacuum. Upstream, ObserverForcing.cost defines the cost of any recognition event as its J-cost, while MultiplicativeRecognizerL4.cost gives the derived cost of a comparator on positive ratios. The module doc states that these fluctuations arise because time is discrete at τ₀ rather than continuous.
proof idea
The proof is a term-mode one-line wrapper that applies trivial. It does not invoke the upstream cost definitions or the all-lists from NarrativeGeodesic and KinshipGraphCohomology; the statement is asserted directly as True.
why it matters
This declaration states the QFT side of the cosmological constant problem and feeds the parent theorem in Cosmology.CosmologicalConstant.cosmological_constant_problem. Within Recognition Science it underscores the need for J-cost minimization and φ-interference to suppress vacuum energy, consistent with T5 J-uniqueness and the phi-ladder. It leaves open the derivation of the precise suppression exponent from the eight-tick octave.
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