| _version_ | 1866902116336926720 |
|---|---|
| author | Ong, Edwin |
| author_facet | Ong, Edwin |
| contents | <p>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:</p> <p>1. Known numbers reproduced (80 entries): Observed constants and phenomena that the Canvas Model predicts or reproduces from its axioms. These include:</p> <p>· Fine-structure constant \alpha^{-1} \approx 137 (observed 137.036)<br>· Cosmological constant \Lambda = 3/(\pi R_H^2) \approx 5.6 \times 10^{-53} m^{-2} (observed 1.1 \times 10^{-52} m^{-2})<br>· Scalar spectral index n_s \approx 0.964 (observed 0.9649 \pm 0.0042)<br>· Number of spatial dimensions d = 3<br>· Number of fermion generations 3<br>· Baryon asymmetry \eta \approx 6 \times 10^{-10}<br>· Dark matter density \Omega_{\text{DM}} \approx 0.26<br>· Strong CP angle \theta_{\text{QCD}} = 0<br>· CKM Wolfenstein parameter \lambda = 1/5 = 0.2 (close to observed 0.22)<br>· Neutrino mass scale \sim 0.1 eV<br>· 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.</p> <p>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:</p> <p>· Dark energy equation of state w_0 \approx -0.93 (testable with DESI, Euclid, LSST, Roman)<br>· Tensor-to-scalar ratio r \ll 0.01 (testable with CMB-S4, LiteBIRD, Simons Observatory)<br>· Cutoff in CMB power spectrum at high multipoles<br>· Energy-dependent speed of light (Planck-scale dispersion)<br>· No proton decay, no supersymmetry, no extra spatial dimensions, no fourth generation<br>· Axion mass m_a \sim 10^{-5} eV<br>· Right-handed neutrino mass M_R \sim 10^{14} GeV<br>· Remnant dark matter abundance \Omega_{\text{rem}} \approx 0.25<br>· Reheating temperature T_{\text{reh}} \sim \sqrt{M_P \Gamma}<br>· Number of e-folds N \sim 55<br>· Flat universe \Omega_k = 0 exactly<br>· Hubble tension reduction \Delta H_0 \approx +3 to +5 km/s/Mpc<br>· Three-body escape time distribution is exponential, with critical scaling \gamma \propto E^{1/2}<br>· Hierarchical triple stability \gamma_{\text{stab}} \propto \varepsilon^{-3/2}<br>· Cheeger constant of prime lattice h = 1/2, spectral gap \lambda_1 \geq 1/8<br>· Planck threshold equals Cheeger constant T_{ST} = h = 1/2<br>· Actual infinity is impossible (CTM)<br>· Instantaneous correlation ≠ infinite speed<br>· Cycloid ratio \gamma/(h^2/2) \approx 50<br>· Lorentz invariance violation scale at Planck length<br>· Primordial black hole formation fraction \beta \sim 0.085<br>· Stochastic gravitational wave background amplitude h^2\Omega_{\text{GW}} \sim \alpha_0<br>· Neutrinoless double beta decay half-life T_{1/2} \sim 10^{28} yr<br>· Lepton flavor violation < 10^{-15}<br>· Electron electric dipole moment d_e < 10^{-30} e·cm<br>· Lyapunov exponent scaling \lambda \propto \sqrt{e - e_c}<br>· Critical exponent for three-body escape \nu = 1/2<br>· CMB spectral index running \alpha_s \approx -6.6 \times 10^{-4}<br>· Non-Gaussianity f_{\text{NL}} \sim O(1)<br>· Time evolution of \Lambda, and many more.</p> <p>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.</p> <p>Why this matters:</p> <p>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.</p> <p>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</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20364754 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Catalog: Predictions by Canvas Model and CTM Ong, Edwin <p>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:</p> <p>1. Known numbers reproduced (80 entries): Observed constants and phenomena that the Canvas Model predicts or reproduces from its axioms. These include:</p> <p>· Fine-structure constant \alpha^{-1} \approx 137 (observed 137.036)<br>· Cosmological constant \Lambda = 3/(\pi R_H^2) \approx 5.6 \times 10^{-53} m^{-2} (observed 1.1 \times 10^{-52} m^{-2})<br>· Scalar spectral index n_s \approx 0.964 (observed 0.9649 \pm 0.0042)<br>· Number of spatial dimensions d = 3<br>· Number of fermion generations 3<br>· Baryon asymmetry \eta \approx 6 \times 10^{-10}<br>· Dark matter density \Omega_{\text{DM}} \approx 0.26<br>· Strong CP angle \theta_{\text{QCD}} = 0<br>· CKM Wolfenstein parameter \lambda = 1/5 = 0.2 (close to observed 0.22)<br>· Neutrino mass scale \sim 0.1 eV<br>· 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.</p> <p>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:</p> <p>· Dark energy equation of state w_0 \approx -0.93 (testable with DESI, Euclid, LSST, Roman)<br>· Tensor-to-scalar ratio r \ll 0.01 (testable with CMB-S4, LiteBIRD, Simons Observatory)<br>· Cutoff in CMB power spectrum at high multipoles<br>· Energy-dependent speed of light (Planck-scale dispersion)<br>· No proton decay, no supersymmetry, no extra spatial dimensions, no fourth generation<br>· Axion mass m_a \sim 10^{-5} eV<br>· Right-handed neutrino mass M_R \sim 10^{14} GeV<br>· Remnant dark matter abundance \Omega_{\text{rem}} \approx 0.25<br>· Reheating temperature T_{\text{reh}} \sim \sqrt{M_P \Gamma}<br>· Number of e-folds N \sim 55<br>· Flat universe \Omega_k = 0 exactly<br>· Hubble tension reduction \Delta H_0 \approx +3 to +5 km/s/Mpc<br>· Three-body escape time distribution is exponential, with critical scaling \gamma \propto E^{1/2}<br>· Hierarchical triple stability \gamma_{\text{stab}} \propto \varepsilon^{-3/2}<br>· Cheeger constant of prime lattice h = 1/2, spectral gap \lambda_1 \geq 1/8<br>· Planck threshold equals Cheeger constant T_{ST} = h = 1/2<br>· Actual infinity is impossible (CTM)<br>· Instantaneous correlation ≠ infinite speed<br>· Cycloid ratio \gamma/(h^2/2) \approx 50<br>· Lorentz invariance violation scale at Planck length<br>· Primordial black hole formation fraction \beta \sim 0.085<br>· Stochastic gravitational wave background amplitude h^2\Omega_{\text{GW}} \sim \alpha_0<br>· Neutrinoless double beta decay half-life T_{1/2} \sim 10^{28} yr<br>· Lepton flavor violation < 10^{-15}<br>· Electron electric dipole moment d_e < 10^{-30} e·cm<br>· Lyapunov exponent scaling \lambda \propto \sqrt{e - e_c}<br>· Critical exponent for three-body escape \nu = 1/2<br>· CMB spectral index running \alpha_s \approx -6.6 \times 10^{-4}<br>· Non-Gaussianity f_{\text{NL}} \sim O(1)<br>· Time evolution of \Lambda, and many more.</p> <p>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.</p> <p>Why this matters:</p> <p>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.</p> <p>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</p> |
| title | Catalog: Predictions by Canvas Model and CTM |
| url | https://doi.org/10.5281/zenodo.20364754 |