What question did this study set out to answer?

To clarify the relationship between the finite-QEC substrate and the cosmological elements like dark energy and inflation.

July 4, 2026Open Access

Cosmology, Dark Energy, and Inflation in the Finite-QEC Substrate

Key Points

To clarify the relationship between the finite-QEC substrate and the cosmological elements like dark energy and inflation.
Utilizes Landauer/QEC accounting methods for analyzing cosmological constants and dark energy densities.
Investigates the spectral index and tensor amplitude related to the finite-QEC cosmology framework.
Incorporates updates to the CMB acoustic conditions and matter-radiation equality observations.
Finds a dynamic dark-energy law w(a) = -1 + a/28 with discriminating w0 = -27/28.
Establishes spectral index ns = 27/28, approximately 0.96429, slightly deviating from Planck 2018 results by -0.15 sigma.
Observes inconsistencies in CMB predictions necessitating alternative interpretations or revisions in existing models.

Abstract

States the cosmology canon of the finite-QEC substrate program: a Landauer/QEC accounting of the cosmological constant landing on the observed dark-energy density; the dynamic dark-energy law w (a) = -1 + a/28 with its discriminating w0 = -27/28; the holographic-boundary-crystallisation route to the spectral index ns = 27/28 = 0. 96429 (-0. 15 sigma against Planck 2018) ; and named exposures, including the tensor-amplitude question for the candidate printing scale. Copyright (C) 2026 D. G. Elliman. Version 2. 0 (2026-06-15). Added the CMB acoustic third-peak open no-go: with only baryons + the sterile-neutrino relic clustering (Ωmh² ≈ 0. 046), matter–radiation equality is zₑq ≈ zᵣec instead of ≈3400; both substrate-native completions (a conserved boundary-QEC charge; a glassy line-current freeze) fail, so the standard CMB requires an external relativistic-MOND (AeST-class) pressureless field or stands as a falsification. Also folds in the 2026-06-14 tensor-ledger update. 2026-06-20 canon refresh: Updated to current R4 homogeneous lift, HBC local-printer amplitude/whitening closure, R14 alpha0 billing, alpha-escape treated as bounded separate QED billing residual, CMB zero-mode/CAMB peak closure with theta-star and halo branch gates, selector/a=1 status, and CC noise-floor status; build/render checked locally; not Zenodo-synced. 2026-06-21 canon refresh: Source updated with HBC scalar-printer observable audit and rebuilt on 2026-06-21. 2026-06-25 canon refresh: Zenodo-synced on 2026-06-21: new-version published as 10. 5281/zenodo. 20782241 (concept 10. 5281/zenodo. 20671859) ; local build/render previously checked. 2026-06-21 canon refresh applied where needed; PDF rebuilt and checked. Zenodo-synced on 2026-06-21: new-version published as 10. 5281/zenodo. 20786096 (concept 10. 5281/zenodo. 20671859). 2026-06-30 canon refresh: Canon-synchronised revision (recent-papers refresh: dressed-alpha bound and zero-mode / halo updates). 2026-07-02 canon refresh: 2026-07-02 update: reflects killed w (a) =-1+a/28 lift, pressureless zero-mode CMB branch, acoustic-clock condition, halo non-double-counting status, and saturated-printer HBC status.

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