This deposit gathers the Prediction Reference Document of the Fractal Time Theory (FTT) along with five technical appendices (BL through BP) covering major theoretical developments. The FTT is a quantum gravity approach based on a single geometric parameter — the Hausdorff dimension dH = 3/π² ≈ 0. 304 — derived ab initio from a coherence equation that selects N = 4 spacetime dimensions. The Reference Document compiles all 48 numerical predictions of the FTT with their theoretical error bars and experimental comparisons. The global χ² is 4. 2 for 12 degrees of freedom (p > 0. 98), spanning particle physics (fine structure constant α⁻¹ = 137. 04 ± 2. 7, Weinberg angle, boson and fermion masses), cosmology (dark matter ΩDM = 0. 264, dark energy equation of state w = −0. 97, spectral index ns = 0. 965), and galactic dynamics. Appendix BL establishes a unique hierarchical selection principle for the six quark masses: each fermion generation couples to a distinct level of the fractal substrate (fundamental, dimensional, spectral), with isospin determining the specific coupling mode. This principle unifies six previously separate formulas under a coherent algebraic structure derived from the sequential symmetry breaking of the substrate. Appendix BM presents the exact solution of the Wheeler-DeWitt equation modified by fractal geometry. The fractal potential creates an infinite barrier at a = 0, eliminating the Big Bang singularity. The solution is expressed in generalized Laguerre polynomials, predicts a cosmic bounce at a calculable scale (amin ≈ 10⁻¹² m), and yields a quantized energy spectrum whose ground state contributes to the cosmological constant. Appendix BN derives the Standard Model gauge group SU (3) ×SU (2) ×U (1) from the compactification of an 11D space on a fractal G₂ manifold. SU (3) emerges as the maximal subgroup of G₂, SU (2) from A₁ singularities, and U (1) from topology (b₁ = 1). Coupling constants are determined by the fractal volumes of the corresponding cycles, and supersymmetry is broken at MSUSY ≈ 10¹⁸ GeV. Appendix BO derives galactic rotation curves from the fractal structure of the substrate, without particulate dark matter. The effective space dimension dₑff (r) = 3 − dH × f (r/rc) produces a cored density profile that naturally resolves the cusp-core problem, and the baryonic Tully-Fisher relation M ∝ v⁴ emerges with the characteristic acceleration a₀ = c × H₀ × dH ≈ 1. 2 × 10⁻¹⁰ m/s² derived rather than postulated. Appendix BP rigorously quantifies the propagation of theoretical uncertainties. The uncertainty on dH is estimated at δdH/dH ≈ 1%, propagating to observables with logarithmic sensitivities ranging from 0. 5 (mH/mZ) to 10 (w). Four "fortuitously good" agreements are identified (Δm (n-p), Koide Q, α⁻¹, ms) and should not be overinterpreted. Six testable predictions within the 2025-2035 window are formulated, including Σmν = 58. 2 ± 0. 6 meV (CMB-S4), w = −0. 97 ± 0. 03 (DESI/Euclid), and a blue-tilted primordial gravitational wave spectrum (nt > 0).
PIERRE LOUIS POMPANON (Thu,) studied this question.