Vol3 Sections 149, 150, 166, 260 · P-DEG-1 to P-DEG-7, P-BAL-1 to P-BAL-6

The SI System as a Degree-Veiled Lattice

Every SI base unit value = a pure {2,3,5} integer times (180/π)^n. The second (π⁰) and candela (π⁰) are already in the lattice. All seven units fully catalogued.

Second
86,400 = 2⁷×3³×5²
pure {2,3,5}, π-class 0
·
Candela
540 THz = 2²×3³×5×10¹²
pure {2,3,5} frequency
·
Propositions
13
P-DEG-1–7 + P-BAL-1–6

SI units = degree-domain projections of the {2,3,5} lattice

The universal conversion factor 180/π (degrees per radian) is the 'degree veil' separating apparent SI values from their pure prime lattice forms. Every SI base unit is a {2,3,5} integer times (180/π)^n for some integer n.

P-DEG-3
Second: T₀ = 86,400 = 2⁷×3³×5² [pure {2,3,5}, π-class 0]
Candela: 540 THz = 2²×3³×5×10¹² [pure {2,3,5}, π-class 0]
All seven units catalogued: m(π¹), kg(π¹), s(π⁰), A(π^½), K(π³), mol(π³), cd(π⁰)

Key Results

P-DEG-3

Second = 1/86,400 day. 86,400 = 2⁷×3³×5². The only SI unit already in the {2,3,5} lattice with π-class 0. Time IS the Tau-unit.

P-DEG-5

Kelvin: k_B = 3⁷×π³/(2⁵×5⁴) × 10⁻²³ J/K. π-class 3.

P-DEG-7

Candela: defined at 540 THz = 2²×3³×5×10¹² Hz. Pure {2,3,5}, π-class 0. Only SI unit anchored to a pure-{2,3,5} frequency standard.

P-BAL-6

The universe is a degree-domain projection of a pure {2,3,5} radian-domain lattice. Physical instruments are degree-domain tools. FOT is the radian-domain framework.

Cross-references: Vol3 Sections 149, 150, 166, 260 | P-CLIGHT-1 | P-AVOG-5