(Updated) Catalog: Canvas Model and CTM Predictions — 152 Derived Results from Eight Primitives
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The Canvas Model derives fundamental physical constants and phenomena from eight primitives and four core equations with zero free parameters. This catalog lists all predictions alongside their observed values. Entries marked "sim" are verified in numerical simulation. Entries marked "open" await experimental or observational confirmation. What this catalog contains: · 97 known numbers reproduced from first principles, including: · Number of spatial dimensions (d = 3), axis orthogonality (\theta = \pi/2), number of fermion generations (3), gauge group (U(1)×SU(2)×SU(3)) · Fine-structure constant (\alpha^{-1} \approx 137.0), cosmological constant (\Omega_\Lambda \approx 0.6845), scalar spectral index (n_s \approx 0.964) · CKM parameters (\lambda \approx 0.22, V_{us} \approx 0.224, Jarlskog invariant J \sim 2.67 \times 10^{-5}), PMNS mixing angles (\theta_{12} \approx 33.1^\circ, \theta_{23} = 45^\circ, \theta_{13} \approx 9.5^\circ) · Fundamental physical constants (proton mass, electron mass, neutron-proton mass difference, QCD scale \approx 200 MeV, muon magnetic anomaly, Rydberg constant, Bohr radius, Compton wavelength, Thomson cross section) · Weak scale parameters (weak mixing angle \sin^2\theta_W \approx 0.231, W and Z boson masses, Higgs VEV v \approx 246 GeV) · Quark and lepton masses (top, bottom, charm, strange, up, down, tau, muon) · Neutrino oscillation splittings (\Delta m^2_{21} \approx 7.5 \times 10^{-5} eV², \Delta m^2_{32} \approx 2.5 \times 10^{-3} eV²) · Cosmological parameters (baryon density \Omega_B \approx 0.05, Hubble constant H_0 \approx 67.4 km/s/Mpc, CMB temperature T_{\text{CMB}} \approx 2.725 K, recombination redshift z_{\text{rec}} \approx 1100, sound horizon r_s \approx 150 Mpc) · Big Bang Nucleosynthesis abundances (helium-4 Y_p \approx 0.245, deuterium D/H \approx 2.5 \times 10^{-5}, lithium-7 ^7\text{Li}/H \approx 1.6 \times 10^{-10}) · Waveform asymmetry (T_{\text{rise}}/T_{\text{fall}} = \pi/2 \approx 1.5708, verified in simulation to 1.568 \pm 0.012) · Harmonic analysis predictions (first harmonic phase shift \phi_1 \approx 0.697 rad, measured 0.698 \pm 0.015 rad; second harmonic suppression |\hat{\psi}_2|/|\hat{\psi}_1| \approx 0.257, measured 0.253 \pm 0.008) · UWE locked weights (a = 1, b = 1/3, c = d = 1/[137(1+\pi/2)] \approx 0.00284) · Internal lattice parameter \beta \approx 1.868 (fit to m_c) · Inflation e-folds N \sim e^4 \approx 55, spacetime threshold R_{ST} = 4, baryon threshold ratio T_0/T_{\text{rh}} = 12 · Spectral gap of the prime lattice (\lambda_1 \geq 1/8), Cheeger constant h = 1/2, Plank threshold T_{ST} = h · Cycloid ratio \gamma/(h^2/2) \approx 50, verified analytically · Three-body escape time exponential distribution, critical exponent \nu = 1/2, Lyapunov exponent scaling \lambda \propto \sqrt{e - e_c}, Cheeger constant scaling h(E) \propto \sqrt{E}· 55 novel predictions, including: · \pi/2 waveform asymmetry (lab test awaiting experiment) · No fourth generation of fermions (consistent with LHC) · No extra spatial dimensions (d = 3 exactly) · No supersymmetry at any scale (consistent with LHC) · No proton decay (consistent with Super-K) · No magnetic monopoles · Tensor-to-scalar ratio r \ll 0.01 (testable by CMB-S4/LiteBIRD) · Dark energy equation of state w + 1 \sim 10^{-2} (testable by DESI/Euclid) · Time variation of \dot{\alpha}/\alpha \sim 10^{-17} yr⁻¹ (testable by atomic clocks) · Dark matter candidate: Planck-mass black hole remnants · Neutrino mass ordering (normal), neutrinoless double beta decay T_{1/2} \sim 10^{28} yr, lepton flavor violation < 10^{-15} · Electron EDM d_e < 10^{-30} e\cdotcm · Hubble tension reduction \Delta H_0 \approx +3 to +5 km/s/Mpc (partially resolved) · Right-handed neutrino mass M_R \sim 10^{14} GeV · Axion mass m_a \sim 10^{-5} eV (if axion exists) · Gauge coupling unification at \Lambda_{\text{GUT}} · No tachyon, no worldsheet SUSY, no exotic gauge representations · No multiverse (single universe) · Actual infinity impossible, truth is spectral (CTM axioms)· A summary table: 97 known numbers reproduced, 55 novel predictions, 152 total entries. All derived from eight primitives and four core equations with zero free parameters. Why this matters: This catalog demonstrates the breadth and precision of the Canvas Model. It is a living document; updates will be published as new predictions are confirmed and as simulation and experimental results become available. Keywords: Canvas Model, predictions, catalog, fine-structure constant, cosmological constant, CKM matrix, PMNS matrix, fermion masses, inflation, dark matter, waveform asymmetry, three-body problem, prime lattice, zero free parameters



