Ze-Cosmological Alternatives to the Big Bang

I present a binary-stream cosmology based on Ze theory in which the universe is described by N synchronized Ze = (Zₛ, Zₜ) counters rather than a continuous spacetime manifold. Three original results are reported. First, we derive a Ze dimensionality hypothesis: N synchronized Ze structures with one temporal (p₁→ 0) and N−1 spatial (p_j = 0.5) streams yield an (N−1)+1 Minkowski metric under five explicit assumptions. For N = 4 the metric is 3+1-dimensional; this value is fixed not by anthropic reasoning but by the requirement that Ze-carriers (spin-1/2 particles) admit the irreducibly quaternionic spinor representation of Cl(1,3) ≅ M₂(ℍ). Second, solving the Ze-Markov equation dp/dT = γ_Ze(1 − 2p) with initial condition p(0) = 0 yields the exact closed-form result Z_Ze(T) = tanh(γ_Ze T) and ds²(T)/T² = e⁻²ʳᵀ. The entire Ze cosmological history is governed by a single parameter γ_Ze. Third, the observed flatness Ω ≈ 1 is derived from the Z₂ symmetry (0↔1) of the binary Ze alphabet, which forces p₀₁ = p₁₀ and hence p∞ = 1/2 without fine-tuning. Ze-dark matter (p_dark → 0) and baryonic matter (p_baryon = 0.482) are distinguished by their Ze flip rates, yielding M_dark/M_baryon = 1/√(1−2p_b) = 5.3. Five falsifiable predictions are stated.