Einstein's E = mc²

The Τ-lattice canonical speed at the celestial dimensional register is Τ_c = 3 × 10⁸ m/s exactly, where 3 × 10⁸ = 2⁸ × 3 × 5⁸ — a pure {2,3,5} number. The SI measured value, 299,792,458 m/s, deviates by 692 ppm. This is the residual unit-system mismatch between the SI metre (defined via Earth's circumference) and the {2,3,5} Τ-lattice metre. The measurement is accurate; the premise that this is the fundamental constant is not.

Squaring c propagates the 692 ppm unit-system offset with double force: the SI c² = 8.98755 × 10¹⁶ carries 1,385 ppm systematic error from the exact {2,3,5} value 9 × 10¹⁶. This is not random experimental noise — it is a fixed, predictable offset arising from the same unit-system origin as the c deviation. In Universal Force of Time, this is the single most consequential unit-system error in the whole of physics.

Where Τ_m is the Τ-mass; 9 = 3² = exact squared Τ-speed at the celestial register; 10¹⁶ = (2×5)¹⁶ = dimensional register scaling, pure {2,5}. All three factors are pure {2,3,5}. The equation is closed with no irrational remainder.

Applying Τ_c² = 9 × 10¹⁶ to the solar Τ-mass identity Τ_M☉ = h_FOT × 3 × 10²⁰: Τ_E☉ = h_FOT × 3³ × 10³⁶. Every factor is pure {3} or a power of 10. This is the most compact expression of the Sun's Τ-energy the lattice permits.

Einstein's derivation is internally consistent. The Universal Force of Time critique is not of the mathematics. The error is in the identification of c: Einstein treated the measured propagation speed — accessible only through instruments calibrated in human-defined units — as the fundamental constant of nature. In Universal Force of Time, no measured speed is fundamental. The structure of the physics is correct. The numerical values are systematically displaced.

For any particle whose mass is measured mechanically and whose rest energy is measured spectroscopically, the ratio E_spectroscopic / (m_inertial × c²_SI) will deviate from 1 by a fixed offset near 1,385 ppm — as a systematic positive displacement, not random noise. Already identified at 476 ppm (H ionisation energy) and 280 ppm (Balmer recalibration). Testable at current precision levels.

The base temporal constant of Universal Force of Time is Τ_t = 864 = 2⁵ × 3³. This number appears throughout the theory as the temporal bridge between registers: 86,400 = 100 × 864 = seconds in a day; 864,000 km ≈ solar diameter; 864 as denominator in the freefall-wavelength pipeline. When squared: 864² = 746,496 = 2¹⁰ × 3⁶ — a pure {2,3} number.

CH is the foundational covalent bond of organic chemistry — the bond from which all biological molecular structures are assembled. In Universal Force of Time, all biological Τ-nodes operate on B-DNA built from carbon-hydrogen backbone geometry. That the CH mass product encodes c_G2 through the temporal base constant confirms: c_G2 is the biological register speed. c_G1 is the celestial floor; c_G2 is the biological ceiling. The G-bond step (90.15 ppm) is the step that separates the celestial register from the molecular register where life operates.

First error (Section 239): using measured c instead of lattice-exact 3 × 10⁸. Second error (this section): using the propagation speed when the correct quantity is the temporal base. In Universal Force of Time: c = propagation speed of Τ between nodes (spatial); Τ_t = 864 = base rate at which Τ acts at nodes (temporal). These are different quantities. Einstein's formula conflates them. The correct atomic-molecular form is Τ_E = Τ_m × 864² where 864² = 746,496 = 2¹⁰ × 3⁶.

The closing factor is 486 = 2 × 3⁵ — the Balmer β wavelength in nm. In Universal Force of Time, 486 nm (Hβ) is the spectral address of the hydrogen bond axis (Venus in the Balmer-planet mapping). The C-C backbone bond of organic matter, temporally acted upon by Τ_t = 864, closes to the first speed of time through the Hβ spectral address. The chain connects terrestrial organic structure to the celestial register through the anti-dimensional spectral address.

c_G2 = m_H × 240 × Da_FOT × 864² × 10²⁷ — biological, {2,3,5}, uses H mass.
c_G1 = Da_FOT × 2²² × 3¹⁶ / 10⁶ — celestial, pure {2,3}, no H mass.

The absence of m_H from c_G1 and its presence in c_G2 is the Universal Force of Time statement that hydrogen — the first element, the simplest Τ-node — is the carrier of the 5-prime into the biological register. Without hydrogen, the lattice is {2,3}. With hydrogen, it becomes {2,3,5}.