Derived Physical Constants

Physical constants are not free parameters in the CPT framework. This table shows which constants are derived from first principles, which are calibration inputs, and which remain open.

Introduction

The CPT framework aims to derive all physical constants from geometry and the single fundamental force (Weber). This page serves as the master reference for the status of constant derivations.

[E] Exact / [M] Mature: Predicted from axioms with no measured input.
[C] Calibration inputs: Measured values used to fix the scale (only 2 used for the V4 engine: electron mass and deuteron binding energy).
[O] Open: The framework should predict these, but the derivation is currently incomplete.

Master Table of Constants

Constant	Value	CPT Status	Source in framework
Fine-structure constant	1/137.036	[E] / [M]	wave-mech scaling [E], full derivation [M]
Newton's G	6.6743 × 10⁻¹¹ N·m²/kg²	[E]	R_G=0.04% from M13
Speed of light	2.998 × 10⁸ m/s	[C]	calibration (defines length scale)
Electron mass	9.109 × 10⁻³¹ kg	[C]	calibration input to V4 engine
Proton mass	1.673 × 10⁻²⁷ kg	[M]	from T(2,3) Weber hold; precise [M]
Planck constant	1.055 × 10⁻³⁴ J·s	[M]	from confined photon energy E=ℏω
Elementary charge	1.602 × 10⁻¹⁹ C	[E]	from Hopf winding number
Classical electron radius	2.818 × 10⁻¹⁵ m	[E]	r_e = ke²/m_ec² from Weber
Proton/electron mass ratio	1836.15	[O]	should follow from T(2,3)/T(1,1) ratio
Compton wavelength	2.426 × 10⁻¹² m	[E]	from torus confinement
Hubble constant	~70 km/s/Mpc	[M]	from Mach closure; exact value [O]
Cosmological constant	1.1 × 10⁻⁵² m⁻²	[O]	S³ curvature gives order-of-magnitude
Proton charge radius	0.841 fm	[O]	distinct from Weber tube radius R_m
Weinberg angle	28.17°	[O]	not yet derived from octonion geometry
Strong coupling	0.118	[O]	colour confinement from knot topology [M]

Calibration Philosophy

Only 2 measured values enter the V4 nuclear engine ( and the deuteron binding energy). All 116-element predictions are parameter-free beyond these two inputs, demonstrating the high predictive power of the geometric framework.

M13 Master Equation

Status: Established Derivations

The derivations of the fine structure constant, elementary charge, and classical electron radius represent core successes of the framework, showing how macroscopic fundamental constants emerge directly from the topology and geometry of S³.

Source Documents

The primary research documents underlying this page. All files are freely viewable and downloadable. They represent the working research as written — including integrity tags, equations, and finding IDs.

Documents open in the CPT Research Library — a formatted viewer for all source research files.