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◆ Longevity Horizon2026-05-10· Flatness (cosmology)

Beyond the Big Bang Binary Streams, Emergent Spacetime, and the Z₂ Origin of Flatness

Jaba Tkemaladze

原始摘要(英文原文)· Original abstract
The standard ΛCDM model, despite its successes, relies on a primordial singularity, fine‑tuning of the flatness problem, and a cosmological constant whose observed value is unexplained by 120 orders of magnitude. We present a self‑contained synthesis of Ze cosmology — a framework in which the universe is not a continuous manifold but a set of N synchronized binary streams (Ze counters) of stasis and transition events. Three results are derived rather than postulated. (i) Dimensionality: With one temporal stream (p → 0) and N‑1 spatial streams (p = 0.5), the effective metric is (N‑1)+1 Minkowski. The requirement that Ze‑carriers (spin‑1/2 particles) admit an irreducibly quaternionic spinor representation forces N = 4, because Cl(1,3) ≅ M₂(H) while for N ≤ 3 all Clifford algebras are real. (ii) Equation of state: The Ze‑Markov master equation dp/dT = γ_Ze(1‑2p) with initial condition p(0) = 0 yields the exact closed form Z_Ze(T) = tanh(γ_Ze T) and ds²/T² = e^{−2γ_Ze T}. The entire cosmological history is governed by a single parameter γ_Ze. (iii) Flatness: The Z₂ symmetry 0↔1 of the binary alphabet forces equal forward/backward transition rates, hence the unique late‑time attractor is p_∞ = 1/2 which corresponds to Z_Ze = 1 — flat Minkowski spacetime — without any fine‑tuning. Ze dark matter (p → 0) is collisionless (σ/m → 0), in full agreement with 2025 Bullet Cluster constraints (Bogorad et al., 2025; Schoeffler et al., 2025). The observed dark‑to‑baryonic mass ratio 5.3 gives p_baryon = 0.482. Five falsifiable predictions are listed. Ze cosmology is the first inflationary alternative that derives the dimension of spacetime, derives Ω = 1 from a symmetry axiom, and uses only one free parameter.
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