Quantum Genesis: Three Dimensions for One Bit, and Dark Energy as Fast Time

Abstract

Pressure builds space, records make time, and the Bulmash Record-Carrier Expansion Law fixes the curve. No shape left to tune. One bit is enough to start a universe. Price a single lasting record at the saturated one-bit Landauer budget, allocated between forming and breaking as E_form(q)/kT = ln2 − ½ln q. That allocation is the model's one-bit postulate; a finite declared structural premise ledger supplies the typed maps and transition rules used below. The carrier chooses itself. An event channel that knows only untouched or touched must agree with the record-state count of the same transfer, and reciprocity forces a binary alphabet, q = 2. Pair-state capacity and the midpoint Fisher stiffness then lock the same amplitude twice: A = q² = 4 = I(½). The ladder climbs, and stops. Under load a structure holds until its source pressure reaches the self-dual breach ν_r = 1/(1+√r); at ν₂ = 0.4142136 a line becomes a sheet — the Mini-Bang — and at ν₃ = 0.3660254 the sheet becomes space, the crossing identified here with the Big Bang. Within the declared formation-energy allocation, simplex-incidence map, and strictly positive record-formation rule, there is no fourth record-producing spatial rung. E_form(4)/kT = ln2 − ½ln4 = 0: the next mark costs nothing to form, and a free mark is not a record. Here r = 4 is the non-record-producing boundary; under the declared simplex-incidence relation and TM map, the largest completed spatial output is D = 3. Marks that stay make time readable, and a clock runs on whatever capacity is still blank: dτ/dt = √(1−ρ̂). Under the declared compactness identification ρ̂ = r_s/r, this clock law reproduces the exterior Schwarzschild lapse exactly — frozen at a horizon, with the standard weak-field shift far away. Read it across the sky and empty regions run fast. As matter falls into walls and voids take the volume, more of the universe sits on the fast side, tracked by F(a) = a^√2/(1 + a^√2). That is dark energy here: not a separately introduced fluid, but a clock rate rising as the voids win. It fixes one curve, Q(F) = 1 + 4Δ + 8√2·Δ(1−Δ)(2F−1), where Δ = 1 − H₂(F)/ln2 is the normalized binary-entropy deficit, with no continuous shape parameter — the odd channel set by one declared anchor c₃/c₂ = 2, and Ω_m and the BAO scale shared with standard analyses rather than serving as shape controls on Q. The curve is fixed before the likelihood is evaluated. At equal parameter count on public DESI DR2 BAO and Pantheon+ it returns Δχ² = −4.727 against flat ΛCDM, mock-calibrated to 2.185σ (2.049σ after the branch penalty) — a preference, not a detection. What decides it is sharper: j₀ = 1.9883 and s₀ = +8.9954 where ΛCDM gives 1.0002 and −0.4187. From the first priced bit to acceleration across the largest cosmic scales, the arc is unbroken, derived within the stated base, and built to fail in public if the sky disagrees.