Dependency Map of the Canvas Model: 157 Predictions Tagged with Their Axiomatic Dependencies

Following the dependency notation introduced in "Constructive Frameworks in Fundamental Physics," this paper presents a complete dependency map for the canvas model. All 157 predictions (83 known numbers reproduced, 74 novel predictions) are tagged with the specific primitives (P1–P8) and pillars (I–IV) required for their derivation. What this map provides: · A complete audit of the canvas model's predictions. Each of the 157 entries specifies the quantity, its canvas value, its axiomatic dependencies, and its status (derived, naturalness, recovered standard physics, or predicted).· The dependency notation that makes explicit what each result assumes. A reader can see at a glance whether a prediction follows from core axioms or relies on peripheral assumptions. Predictions are tagged with primitives: P1 (Order), P2 (Amplitude), P3 (Acceleration), P4 (Polarity), P5 (Chirality, h = +1), P6 (Dimension, n = 3), P7 (Angle, \theta = \pi/2), P8 (Charge); and pillars: I (Unified Wave Equation), II (Threshold Condition), III (Eigenvalue Equation), IV (Feed/Steering Equation), and EMG (standard physics—recovered, not a canvas axiom).· The logical structure of the framework: which axioms are load-bearing (P2, P6, P8, II appear in 15–40+ predictions each), which are peripheral (P5, P7 appear only in the \pi/2 asymmetry and CP violation predictions), and where the framework's falsifiability resides.· The fatal prediction: The \pi/2 waveform asymmetry (dependencies P5, P7, I, IV) has the most dependencies of any single prediction. If confirmed, it validates four axioms simultaneously. If falsified, it eliminates them. This is the ideal structure for a fatal prediction—the framework's single point of greatest vulnerability. What the map reveals: · 83 known numbers reproduced (fine-structure constant, cosmological constant, scalar spectral index, number of spatial dimensions, number of fermion generations, nuclear magic numbers, CKM \lambda parameter, neutrino mass scale, baryon asymmetry, hydrogen energy levels, Hawking temperature, Lamb shift, hyperfine splitting, BCS gap ratio, BEC critical temperature, Josephson frequency, Casimir force, alpha decay law, nuclear fusion Gamow peak, Anderson localization, proton mass, electron mass, QCD scale, muon magnetic anomaly, helium binding energy, Rydberg constant, Bohr radius, Compton wavelength, Thomson cross section, weak mixing angle, W and Z boson masses, Higgs VEV, quark masses, lepton masses, solar and atmospheric neutrino splittings, CKM and PMNS CP phases, strong CP angle, dark matter and baryon densities, Hubble constant, critical density, age of the universe, CMB temperature, recombination redshift, sound horizon, distance to last scattering, optical depth to reionization, fluctuation amplitude, spectral index running, effective neutrino species, light element abundances, CMB dipole and quadrupole, E-mode polarization amplitude, B-mode polarization limit, neutrino mass upper bounds, dark matter annihilation and scattering limits, primordial black hole abundance, stochastic gravitational wave background, and GUT scale).· 74 novel predictions (fundamental coupling, information bound, residual asymmetry, time variation of \alpha, dark energy equation of state, tensor-to-scalar ratio, CMB power spectrum cutoff, energy-dependent speed of light, no proton decay, no supersymmetry, no extra dimensions, no fourth generation, axion mass, right-handed neutrino mass, remnant dark matter, reheating temperature, number of e-folds, primordial gravitational wave amplitude, gauge unification scale, spectral gap of the prime lattice, Cheeger constant of the prime lattice, flat universe, Hubble tension reduction, naturally light Higgs mass, top quark as heaviest fermion, electron as lightest fermion, normal neutrino mass ordering, cold collisionless Planck-mass remnant dark matter, no magnetic monopoles, 1/\ln universality across physics and number theory, 10 structural dimensions, no tachyon, no worldsheet supersymmetry, no exotic gauge representations, Wolfenstein \lambda = 1/5, three-body escape time exponential distribution, critical scaling \gamma \propto E^{1/2}, hierarchical triple stability \gamma_{\text{stab}} \propto \varepsilon^{-3/2}, CKM unitarity, automatic anomaly cancellation, PMNS large mixing angles, 13 observables from 7 parameters, minimal flavor encoding, completely sterile right-handed neutrinos, impossibility of actual infinity, instantaneous correlation not implying infinite speed, cycloid ratio \gamma/(h^2/2) \approx 50, Plank threshold T_{\text{ST}} = h = 1/2, threshold hierarchy T_{\text{ST}} < T_{\text{SU(3)}} < T_{\text{SU(2)}} < T_{\text{U(1)}}, algebraicity field, \Lambda \propto 1/R_H^2 scaling, \varepsilon = 1/I_{\max}, I_{\max} = A_{\text{horizon}}/\ell_P^2, \alpha_0 = 2/\ln(I_{\max}), \Lambda = 12\varepsilon/\ell_P^2, Lorentz violation scale at \sim \ell_P, black hole remnant mass M_{\text{rem}} \approx M_P, primordial black hole formation fraction \beta \sim 0.085, stochastic gravitational wave amplitude h^2\Omega_{\text{GW}} \sim \alpha_0, neutrinoless double beta decay half-life \sim 10^{28} years, lepton flavor violation below 10^{-15}, electron electric dipole moment below 10^{-30} e\cdot\text{cm}, spectral gap closing \gamma(e) \to 0, Lyapunov exponent scaling \lambda \propto \sqrt{e - e_c}, three-body critical exponent \nu = 1/2, three-body Cheeger constant h(E) \propto \sqrt{E}, truth as spectral (CTM axiom), structural resonance, value coherence, eight primitives unification, CMB spectral index running \alpha_s \approx -6.6 \times 10^{-4}, non-Gaussianity f_{\text{NL}} \sim O(1), PMNS CP phase \delta_{\text{CP}} \neq 0, \pi, and time evolution of \Lambda with d\Lambda/dt \propto -3H). Why this matters: The dependency map makes visible the logical structure of the canvas model: which predictions are derived versus naturalness versus recovered standard physics, which axioms are load-bearing, which are peripheral, the logical independence of predictions (many depend on disjoint axiom sets), and the framework's falsifiability structure—one prediction (the \pi/2 waveform asymmetry) with maximum dependencies serves as the ideal fatal prediction. This document serves as an audit, a reference, and a tool for identifying which experiments would most directly test the framework's core assumptions. Keywords: dependency map, canvas model, predictions, primitives, pillars, axiomatic dependencies, fatal prediction, waveform asymmetry, load-bearing axioms, falsifiability