Lambda as the energy of unimodular time in loop quantum cosmology with Lambda<0: at large scalar momentum the lattice offset acts as the Wheeler-DeWitt Efimov phase

We solve the loop quantum cosmology constraint of Bentivegna and Pawlowski (flat universe, negative cosmological constant, massless scalar) for Lambda at fixed scalar momentum, i.e. with Lambda as the energy of unimodular time (one unimodular ordering). On each superselection lattice the Lambda levels form two branches (the two triad orientations), each a geometric (Efimov-like) tower at Lambda to 0- with the Wheeler-DeWitt ratio exp(2 pi/k). Numerically, at large scalar momentum (omega = 30, 60) each branch's tower shifts linearly with the lattice offset, d ln|Lambda_n|/d epsilon = -+ pi/(2k), so the lattice label acts as the Wheeler-DeWitt self-adjoint extension (Efimov) angle, theta_eff = -+ pi epsilon/4. Consequently a single lattice gives a discrete Lambda ladder while the integral over lattices (Kozicki and Pawlowski 2026) gives a continuous Lambda spectrum in the tower region. The law fails at omega = 10, where the branches hybridise; pre-registered tests that failed there are reported. The epsilon-dependence of the WDW phase was known at Lambda = 0; this is a methods note. Pre-registration, amendments, review logs and all scripts are in the source archive.