Cosmology from a Three-Bit Seed: The Predictions and Their Falsification Gates

Abstract

Four companion papers develop a cosmology in which the initial conditions of the universe are inherited rather than postulated: the final evaporation of the prior aeon's black holes converges to a minimal closed configuration of three entanglement links, and that three-bit content conditions the no-boundary gravitational path integral from which the present universe is drawn. The framework contains no inflaton, no potential, and no adjustable cosmological parameters; its observables are counting expressions. This letter states the architecture in one page, each quantitative claim with its mechanism and current status, and the observation or computation that would rule it out. The claims and their gates: the tensor-to-scalar ratio, revised in August 2026 following an internal audit of the corpus (the revision note, published with the Taxonomy of Claims and Epistemic Inventory) – a standard flat-template B-mode analysis will report r = 0.0318 ± 0.001, just under the current combined limit r < 0.032, from the physical scale-independent ratio 0.0301 ± 0.001 superseding 0.033943; decided by operating experiments within the next few years, with a detection near 0.03 its signature and the tensor power splitting exactly 5:1 between magnetic and electric Weyl sectors; the tensor tilt, fixed by an exact zero-parameter consistency relation n_t = n_s − 1 = −0.0351, nine times redder than single-field inflation's at equal r – the framework's sharpest structural discriminator, replacing the withdrawn running (α_s ≈ +0.0012 is retired as a physical prediction under the anchor theorem of the revision note, the corpus's second on-record withdrawal); the spectral tilt n_s = 1 − ln 2/(2π²) = 0.96489 (0.0σ against Planck 2018, with the estimator band and the dataset spread registered – the observed tilt contains log 2); the amplitude A_s = 3^(1/3)·e^(−2π²)·(det H)^(−1/2) = 2.1014 × 10⁻⁹ (0.01σ, zero free parameters); the baryon fraction Ω_b/Ω_m = 5/32 (0.12σ) and Ω_CDM/Ω_b = 27/5, with the channel-to-species identification decided by an EPRL binding computation rather than assumed; the baryon asymmetry in native form, the dimensionful chain cancelling identically to leave a counting coefficient times r·A_s, with a residue of two registered order-unity items and one Standard-Model convention; and the cosmological constant, determined from ignition: ρ_Λ = (3/4)ℏ/V₄ – three-quarters of the seed's single quantum of action over the realized draw, the singlet quarter consumed by the topologically necessary first move – returning the draw's depth as an integer, g_total = 153.00 ± 0.06, and fixing three observables with nothing adjustable: H₀ = 67.41 ± 0.08 (the local distance-ladder excess is predicted systematic), Ω_k = −1.7 × 10⁻³ closed (a hundredfold above inflation's stochastic floor; testable by the full DESI survey with CMB, decided by CMB-S4), and w = −1 exactly at every epoch (a confirmed thawing equation of state rules the framework out; the earlier conditional Ω_Λ = ln 2 equilibrium is retired by the letter atop Correlation Transfer II). Section 6 poses two items to the spin foam community, independent of any cosmological commitment: the composite bound-state prediction (Borromean three-crown binding, with the transfer-matrix dumps supplied for reproduction without a rebuild), and the open question of whether the transition probability of the elementary 1 → 4 move realizes p – computed in the accessible sectors it does not (18/323 exactly in the topological SU(2) model; 0.10–0.12 in Lorentzian EPRL, Dl-converged, three concordant implementations), and the definition of a convention-independent transition probability is posed to the spin foam program. Every number regenerates from the public replication package at 10.5281/zenodo.21296026, one script and one command per claim, including the transfer-matrix dumps for the binding results and the dark-energy partition supplement; the revised tensor-sector derivations are stated in full in the revision note's appendices, with their regeneration scripts joining the package alongside the consolidated paper revision. The program corpus: Epistemic Inventory and Taxonomy of Claims - 10.5281/zenodo.21324530 The Last Evaporation: Planck Remnants as Cosmological Seeds in Empty Spacetime - 10.5281/zenodo.19324262 Cosmological Structure Without Inflation: The Perturbation Spectrum from Pre-Geometric Construction - 10.5281/zenodo.19513896 One-Loop Identities on the S4 Instanton - 10.5281/zenodo.20045607 The Ignition Transition: From the No-Boundary Saddle to Radiation Domination - 10.5281/zenodo.20559451 The Ignition Inventory: Defect Energy and Static Topology - 10.5281/zenodo.20559916