Catalog: Predictions by Canvas Model and CTM

The Canvas Model, together with Canvas Temporal Mathematics (CTM), derives fundamental physical and mathematical constants from first principles with zero free parameters. This paper compiles two comprehensive lists:

1. Known numbers reproduced (80 entries): Observed constants and phenomena that the Canvas Model predicts or reproduces from its axioms. These include:

· Fine-structure constant \alpha^{-1} \approx 137 (observed 137.036)· Cosmological constant \Lambda = 3/(\pi R_H^2) \approx 5.6 \times 10^{-53} m^{-2} (observed 1.1 \times 10^{-52} m^{-2})· Scalar spectral index n_s \approx 0.964 (observed 0.9649 \pm 0.0042)· Number of spatial dimensions d = 3· Number of fermion generations 3· Baryon asymmetry \eta \approx 6 \times 10^{-10}· Dark matter density \Omega_{\text{DM}} \approx 0.26· Strong CP angle \theta_{\text{QCD}} = 0· CKM Wolfenstein parameter \lambda = 1/5 = 0.2 (close to observed 0.22)· Neutrino mass scale \sim 0.1 eV· Hydrogen energy levels, Lamb shift, hyperfine splitting (21 cm line), nuclear magic numbers, BCS gap ratio, BEC critical temperature, Casimir force, Hawking temperature, Bekenstein-Hawking entropy, and many more.

2. Predicted numbers (60 entries): Previously unknown or uncalculated constants and phenomena that follow from the model and await experimental or observational confirmation. These include:

· Dark energy equation of state w_0 \approx -0.93 (testable with DESI, Euclid, LSST, Roman)· Tensor-to-scalar ratio r \ll 0.01 (testable with CMB-S4, LiteBIRD, Simons Observatory)· Cutoff in CMB power spectrum at high multipoles· Energy-dependent speed of light (Planck-scale dispersion)· No proton decay, no supersymmetry, no extra spatial dimensions, no fourth generation· Axion mass m_a \sim 10^{-5} eV· Right-handed neutrino mass M_R \sim 10^{14} GeV· Remnant dark matter abundance \Omega_{\text{rem}} \approx 0.25· Reheating temperature T_{\text{reh}} \sim \sqrt{M_P \Gamma}· Number of e-folds N \sim 55· Flat universe \Omega_k = 0 exactly· Hubble tension reduction \Delta H_0 \approx +3 to +5 km/s/Mpc· Three-body escape time distribution is exponential, with critical scaling \gamma \propto E^{1/2}· Hierarchical triple stability \gamma_{\text{stab}} \propto \varepsilon^{-3/2}· Cheeger constant of prime lattice h = 1/2, spectral gap \lambda_1 \geq 1/8· Planck threshold equals Cheeger constant T_{ST} = h = 1/2· Actual infinity is impossible (CTM)· Instantaneous correlation ≠ infinite speed· Cycloid ratio \gamma/(h^2/2) \approx 50· Lorentz invariance violation scale at Planck length· Primordial black hole formation fraction \beta \sim 0.085· Stochastic gravitational wave background amplitude h^2\Omega_{\text{GW}} \sim \alpha_0· Neutrinoless double beta decay half-life T_{1/2} \sim 10^{28} yr· Lepton flavor violation < 10^{-15}· Electron electric dipole moment d_e < 10^{-30} e·cm· Lyapunov exponent scaling \lambda \propto \sqrt{e - e_c}· Critical exponent for three-body escape \nu = 1/2· CMB spectral index running \alpha_s \approx -6.6 \times 10^{-4}· Non-Gaussianity f_{\text{NL}} \sim O(1)· Time evolution of \Lambda, and many more.

Summary: 80 known numbers reproduced, 60 predicted numbers — total 140 entries. All entries are derived from the eight primitives and three equations of the Canvas Model, with zero free parameters.

Why this matters:

The Canvas Model is not a curve-fitting exercise. It derives numbers from first principles. The fine-structure constant is not fitted to 1/137 — it emerges from \alpha_0 = 1/\ln(I_{\text{max}}) with threshold corrections. The cosmological constant is not fitted — it emerges from the finite information capacity of the observable universe. The scalar spectral index is not fitted — it emerges from the number of e-folds n_s = 1 - 2/N. This compilation is a living document, updated as new predictions are confirmed.

Keywords: Canvas Model, predicted numbers, fundamental constants, fine-structure constant, cosmological constant, dark energy, dark matter, inflation, CMB, neutrino masses, CKM matrix, strong CP, baryon asymmetry, three-body problem, Cheeger constant, spectral gap, CTM, zero free parameters