Author's note. This monograph consolidates the program corpus listed at the foot of this description. As the program has grown, each new result was propagated across an expanding set of documents, and the set became unmanageable. Consolidation also surfaced inconsistencies between documents written at different stages of the program. From this version the monograph is the program's single source of truth: where it and a corpus document differ, the monograph governs. The corpus remains in place because it carries the prediction stake dates and the revision history. The Replication Package and the Truncated Tessellation package stand alone as the program's regeneration and instrument records, cited below. Cosmology from a Three-Bit Seed This work presents a complete cosmology in which the initial conditions of the universe are determined rather than postulated. Black holes in a predecessor universe evaporate to a common terminal configuration – three entanglement links closed in a cycle, the smallest configuration that can hold itself closed, below which no further radiation is possible. Nothing is transmitted between aeons: the seed carries no record of the prior aeon, and the framework predicts the strict absence of predecessor imprints, where information-crossing cyclic proposals predict their presence. When the parent universe's entanglement network is fully consumed at its accelerating horizon, that three-bit configuration is the only remaining physical structure, and it conditions the no-boundary gravitational path integral from which the next universe is drawn. The framework contains no inflaton, no potential, and no adjustable cosmological parameters; its observables are counting expressions in one derived constant, the per-edge failure probability p = ln 2/(2π²) = 0.03512: the information content of one binary outcome measured against the saddle action. The derived observables, with zero free parameters and two named premises in the spectral sector: spectral tilt 1 − n_s = ln 2/(2π²) exact at the anchor, running down the band under the scale-local pricing premise to n_s(k*) = 0.97268 at the pivot, with band values 0.9718 (Planck lever) to 0.9733 (ACT lever) – within about 1.7σ of every current determination (+1.6σ Planck 2018, +0.9σ ACT DR6, −0.5σ P-ACT-LB, +1.4σ SPT CMB-SPA), the rise of the effective tilt with band the registered signature; running α_s(k*) = +0.00075, positive where slow-roll predicts negative (0.8σ from the measured value); amplitude A_s(k*) = e^(−2π²)·S₀/S₀(n*) = 2.0813 × 10⁻⁹ (0.6σ), the saddle weight priced at its own scale under the scale-local pricing premise and the bare-saddle normalization, bound to the pivot tilt by the parameter-free joint line A_s = (1 − n_s)·S₀e^(−S₀)/ln 2, which the measured amplitude alone inverts to n_s(k*) = 0.97244 ± 0.00045; tensor tilt n_t(k*) = (n_s − 1) − 4p²/(3 − 2p) = −0.02833, roughly eight times redder than single-field inflation's at equal r, with an exact 5:1 magnetic–electric split (0.0233 : 0.0047) and the S³ mode-count law (2/5)(1 − 4/n²); baryon fraction Ω_b/Ω_m = 5/32 (0.12σ) and Ω_CDM/Ω_b = 27/5, the channel-to-species identification decided by a binding computation (the composite level 2.08(7) per-step units below the lowest allowed channel, 29 times the truncation systematic); the baryon asymmetry in native form, η_B = K·(c·rate)·r·A_s, every dimensionful quantity cancelling identically, with η_B/(rA_s) = 10.5 the counting target; the galactic acceleration scale g_† = (1/6) c H₀, which at the framework's own H₀ sits 9% below the observed value, inside the SPARC systematic; and the cosmological constant determined at ignition, ρ_Λ = (3/4)ℏ/V₄: three-quarters of the seed's single quantum of action, the remaining quarter consumed by the topologically necessary first move. Inverting the observed dark-energy density returns the draw's depth as an integer, g_total = 153.00 ± 0.06, and fixes three further observables with nothing adjustable: H₀ = 67.41 ± 0.08 (given the measured matter density), Ω_k = −1.7 × 10⁻³ closed, and w = −1 exactly at every epoch. The tensor-to-scalar ratio, the sharpest near-term gate, is stated at the pivot: a standard flat-template analysis will report r = 0.0292 ± 0.0005, from the physical ratio 0.0279 ± 0.0005 (running as slowly as either spectrum), about 9% under the current combined limit r < 0.032 and decided by operating experiments within years; the core is r_core = 4/[15(3 − 2p)²] = 0.030739 at the pivot (0.031067 at the anchor) and the correspondence factor F = 0.9084 ± 0.016 at the pivot. Declaration of the present consolidation. This version adopts the scale-local pricing premise throughout: a binary edge outcome at harmonic scale n is priced against the budget accumulated to that scale, S₀(n) = S₀ + ln 2·T(n), so the tilt runs down the band from its exact anchor value and the amplitude is the run-down of the saddle weight. The earlier statement – the constant anchor, every bit priced against the total budget, with n_s = 0.96488 at every scale, α_s = 0 exactly, and A_s = 3^(1/3)(det H)^(−1/2)e^(−2π²) = 2.1014 × 10⁻⁹ at 0.01σ – is retained in the taxonomy as a registered alternative and is closed by computation, not by data: an exact ancestor-line recursion over the stated measure (archived) shows that under the constant anchor the observable band carries no tilt at any one-loop offset, and a discrete-Laplacian computation on the 1→4 complex (archived) shows that the budget's spectral ingredients belong to the saddle, leaving the pricing itself a premise. The bare-saddle normalization is named as the second premise of the spectral sector: no fluctuation determinant and no root-measure factor multiplies the saddle weight, the two together being excluded at ~14σ. Consequences carried into this version: the amplitude is no longer closed by the one-loop determinant and the root factor 3^(1/3), whose assembly lies 1.0% from the adopted value at the pivot – a numerical proximity between distinct operator functionals, not an identity; the root-measure postulate P-ROOT is retained as the postulate fixing the root harmonic n₀ = 3^(1/3), the anchor of the saddle map, and is no longer an amplitude factor nor discriminated by the amplitude comparison; and the joint A_s–n_s line replaces the S₀ inversion as the spectral sector's registered falsifier. Values that change against the previous deposit: n_s 0.96488 (all scales) → 0.97268 at the pivot with the band ladder above; α_s 0 → +0.00075 at the pivot; A_s 2.1014 × 10⁻⁹ (0.01σ) → 2.0813 × 10⁻⁹ (0.6σ); n_t −0.03512 → −0.02833 at the pivot; F 0.9015 → 0.9084 at the pivot (the enumerated inter-move correction −5.49% → −4.27%, the exact-support window factor 0.9539 → 0.9488, both re-evaluated at p(k*) = 0.02732 from the archived scripts); the flat-template projection 1.057 → 1.046 at n_t(k*), reproducing the archived k_eff = 0.0103; r 0.0296/0.0280 → 0.0292/0.0279; the baryon-asymmetry counting target 10.4 → 10.5 (c·rate 4.9 → 5.0). Values that do not change: the anchor constant p, the species ratios, the RAR coefficient, and the dark-energy block. One row is added to the falsification table: the geometric identification of cold dark matter predicts null results in direct detection and is ruled out by a confirmed particle detection reproduced across experiments; the LZ single-event hint of September 2026 is registered there as a watched item. The BK15 likelihood placement is re-evaluated at the pivot values with the archived pipeline (the prediction 0.4σ from the BK15 peak, preferred over the null by Δχ² = 2.5; the flat-template translation validated on the same likelihood to 0.5%); the BK18 placement is likewise re-evaluated at the pivot values: the prediction sits Δχ² = 0.5 above the null on a profile flat over r = 0–0.03, with the 95% crossing at r ≈ 0.040 at fixed cosmology, so BK18 is neutral between no tensors and the framework. The tilt is printed at its correctly rounded anchor value, 0.96488 (1 − ln 2/(2π²) = 0.9648848; earlier documents printed 0.96489). The work is organized for verification. A prologue states the cycle in plain terms. An introduction states the architecture. Chapter 1 derives the perturbation spectrum from the counted probability; Chapter 2 derives the ignition – the passage from the Euclidean saddle to radiation domination, and the disposition of the seed's quantum; Chapter 3 takes inventory of the deposited energy content – radiation from the defect-free saddle, baryons and cold dark matter from the electric and magnetic sectors of the defect curvature; Chapter 4 fixes the convention by which a finite model stands in for the infinite blueprint exactly; Chapter 5 completes the cycle – evaporation at the Landauer bound, the terminal remnant, and the dismantling of the parent at the cosmological horizon, counted in links. Appendix A carries the one-loop identities on the S⁴ instanton, the root measure, and the amplitude normalization. Appendices B and C are the framework's own registries: an epistemic inventory organized by question, and a taxonomy separating the derived from the computed, the registered, the conditional, and the open, each with its named premises. Appendix D consolidates the predictions and states the master falsification table – for every quantitative claim, the observation or computation that would rule it out. One item is posed to the spin foam community independent of any cosmological commitment: the composite bound-state prediction. The Prior Program Corpus 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 Topo
Scott Weller· Zenodo (CERN European Organi...· 0 citations
Author's note. This monograph consolidates the program corpus listed at the foot of this description. As the program has grown, each new result was propagated across an expanding set of documents, and the set became unmanageable. Consolidation also surfaced inconsistencies between documents written at different stages of the program. From this version the monograph is the program's single source of truth: where it and a corpus document differ, the monograph governs. The corpus remains in place because it carries the prediction stake dates and the revision history. The Replication Package and the Truncated Tessellation package stand alone as the program's regeneration and instrument records, cited below. Cosmology from a Three-Bit Seed This work presents a complete cosmology in which the initial conditions of the universe are determined rather than postulated. Black holes in a predecessor universe evaporate to a common terminal configuration – three entanglement links closed in a cycle, the smallest configuration that can hold itself closed, below which no further radiation is possible. Nothing is transmitted between aeons: the seed carries no record of the prior aeon, and the framework predicts the strict absence of predecessor imprints, where information-crossing cyclic proposals predict their presence. When the parent universe's entanglement network is fully consumed at its accelerating horizon, that three-bit configuration is the only remaining physical structure, and it conditions the no-boundary gravitational path integral from which the next universe is drawn. The framework contains no inflaton, no potential, and no adjustable cosmological parameters; its observables are counting expressions in one derived constant, the per-edge failure probability p = ln 2/(2π²) = 0.03512: the information content of one binary outcome measured against the saddle action. The derived observables, with zero free parameters and two named premises in the spectral sector: spectral tilt 1 − n_s = ln 2/(2π²) exact at the anchor, running down the band under the scale-local pricing premise to n_s(k*) = 0.97268 at the pivot, with band values 0.9718 (Planck lever) to 0.9733 (ACT lever) – within about 1.7σ of every current determination (+1.6σ Planck 2018, +0.9σ ACT DR6, −0.5σ P-ACT-LB, +1.4σ SPT CMB-SPA), the rise of the effective tilt with band the registered signature; running α_s(k*) = +0.00075, positive where slow-roll predicts negative (0.8σ from the measured value); amplitude A_s(k*) = e^(−2π²)·S₀/S₀(n*) = 2.0813 × 10⁻⁹ (0.6σ), the saddle weight priced at its own scale under the scale-local pricing premise and the bare-saddle normalization, bound to the pivot tilt by the parameter-free joint line A_s = (1 − n_s)·S₀e^(−S₀)/ln 2, which the measured amplitude alone inverts to n_s(k*) = 0.97244 ± 0.00045; tensor tilt n_t(k*) = (n_s − 1) − 4p²/(3 − 2p) = −0.02833, roughly eight times redder than single-field inflation's at equal r, with an exact 5:1 magnetic–electric split (0.0233 : 0.0047) and the S³ mode-count law (2/5)(1 − 4/n²); baryon fraction Ω_b/Ω_m = 5/32 (0.12σ) and Ω_CDM/Ω_b = 27/5, the channel-to-species identification decided by a binding computation (the composite level 2.08(7) per-step units below the lowest allowed channel, 29 times the truncation systematic); the baryon asymmetry in native form, η_B = K·(c·rate)·r·A_s, every dimensionful quantity cancelling identically, with η_B/(rA_s) = 10.5 the counting target; the galactic acceleration scale g_† = (1/6) c H₀, which at the framework's own H₀ sits 9% below the observed value, inside the SPARC systematic; and the cosmological constant determined at ignition, ρ_Λ = (3/4)ℏ/V₄: three-quarters of the seed's single quantum of action, the remaining quarter consumed by the topologically necessary first move. Inverting the observed dark-energy density returns the draw's depth as an integer, g_total = 153.00 ± 0.06, and fixes three further observables with nothing adjustable: H₀ = 67.41 ± 0.08 (given the measured matter density), Ω_k = −1.7 × 10⁻³ closed, and w = −1 exactly at every epoch. The tensor-to-scalar ratio, the sharpest near-term gate, is stated at the pivot: a standard flat-template analysis will report r = 0.0292 ± 0.0005, from the physical ratio 0.0279 ± 0.0005 (running as slowly as either spectrum), about 9% under the current combined limit r < 0.032 and decided by operating experiments within years; the core is r_core = 4/[15(3 − 2p)²] = 0.030739 at the pivot (0.031067 at the anchor) and the correspondence factor F = 0.9084 ± 0.016 at the pivot. Declaration of the present consolidation. This version adopts the scale-local pricing premise throughout: a binary edge outcome at harmonic scale n is priced against the budget accumulated to that scale, S₀(n) = S₀ + ln 2·T(n), so the tilt runs down the band from its exact anchor value and the amplitude is the run-down of the saddle weight. The earlier statement – the constant anchor, every bit priced against the total budget, with n_s = 0.96488 at every scale, α_s = 0 exactly, and A_s = 3^(1/3)(det H)^(−1/2)e^(−2π²) = 2.1014 × 10⁻⁹ at 0.01σ – is retained in the taxonomy as a registered alternative and is closed by computation, not by data: an exact ancestor-line recursion over the stated measure (archived) shows that under the constant anchor the observable band carries no tilt at any one-loop offset, and a discrete-Laplacian computation on the 1→4 complex (archived) shows that the budget's spectral ingredients belong to the saddle, leaving the pricing itself a premise. The bare-saddle normalization is named as the second premise of the spectral sector: no fluctuation determinant and no root-measure factor multiplies the saddle weight, the two together being excluded at ~14σ. Consequences carried into this version: the amplitude is no longer closed by the one-loop determinant and the root factor 3^(1/3), whose assembly lies 1.0% from the adopted value at the pivot – a numerical proximity between distinct operator functionals, not an identity; the root-measure postulate P-ROOT is retained as the postulate fixing the root harmonic n₀ = 3^(1/3), the anchor of the saddle map, and is no longer an amplitude factor nor discriminated by the amplitude comparison; and the joint A_s–n_s line replaces the S₀ inversion as the spectral sector's registered falsifier. Values that change against the previous deposit: n_s 0.96488 (all scales) → 0.97268 at the pivot with the band ladder above; α_s 0 → +0.00075 at the pivot; A_s 2.1014 × 10⁻⁹ (0.01σ) → 2.0813 × 10⁻⁹ (0.6σ); n_t −0.03512 → −0.02833 at the pivot; F 0.9015 → 0.9084 at the pivot (the enumerated inter-move correction −5.49% → −4.27%, the exact-support window factor 0.9539 → 0.9488, both re-evaluated at p(k*) = 0.02732 from the archived scripts); the flat-template projection 1.057 → 1.046 at n_t(k*), reproducing the archived k_eff = 0.0103; r 0.0296/0.0280 → 0.0292/0.0279; the baryon-asymmetry counting target 10.4 → 10.5 (c·rate 4.9 → 5.0). Values that do not change: the anchor constant p, the species ratios, the RAR coefficient, and the dark-energy block. One row is added to the falsification table: the geometric identification of cold dark matter predicts null results in direct detection and is ruled out by a confirmed particle detection reproduced across experiments; the LZ single-event hint of September 2026 is registered there as a watched item. The BK15 likelihood placement is re-evaluated at the pivot values with the archived pipeline (the prediction 0.4σ from the BK15 peak, preferred over the null by Δχ² = 2.5; the flat-template translation validated on the same likelihood to 0.5%); the BK18 placement is likewise re-evaluated at the pivot values: the prediction sits Δχ² = 0.5 above the null on a profile flat over r = 0–0.03, with the 95% crossing at r ≈ 0.040 at fixed cosmology, so BK18 is neutral between no tensors and the framework. The tilt is printed at its correctly rounded anchor value, 0.96488 (1 − ln 2/(2π²) = 0.9648848; earlier documents printed 0.96489). The work is organized for verification. A prologue states the cycle in plain terms. An introduction states the architecture. Chapter 1 derives the perturbation spectrum from the counted probability; Chapter 2 derives the ignition – the passage from the Euclidean saddle to radiation domination, and the disposition of the seed's quantum; Chapter 3 takes inventory of the deposited energy content – radiation from the defect-free saddle, baryons and cold dark matter from the electric and magnetic sectors of the defect curvature; Chapter 4 fixes the convention by which a finite model stands in for the infinite blueprint exactly; Chapter 5 completes the cycle – evaporation at the Landauer bound, the terminal remnant, and the dismantling of the parent at the cosmological horizon, counted in links. Appendix A carries the one-loop identities on the S⁴ instanton, the root measure, and the amplitude normalization. Appendices B and C are the framework's own registries: an epistemic inventory organized by question, and a taxonomy separating the derived from the computed, the registered, the conditional, and the open, each with its named premises. Appendix D consolidates the predictions and states the master falsification table – for every quantitative claim, the observation or computation that would rule it out. One item is posed to the spin foam community independent of any cosmological commitment: the composite bound-state prediction. The Prior Program Corpus 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 Topo
Scott Weller· Zenodo (CERN European Organi...· 0 citations
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