Three {2,3,5,π} lattice nodes sit near the conventional absolute zero
Conventional absolute zero (−273.15°C = 0 K) extrapolates the ideal gas law to zero pressure. This extrapolation breaks down at the G1 register structural floor. The FOT lattice has three nodes in this neighbourhood — all exact {2,3,5,π} expressions — while the conventional value sits 917.36 ppm off the nearest node and introduces the prime 607 into its FOT K equivalent. The conventional value is not a lattice element.
| Position | Celsius | FOT expression | FOT K (|C|×864) | Lattice form | Lattice? |
|---|---|---|---|---|---|
| Integer AZ | −270.0000000000°C | −2×3³×5 | 233,280 | 2⁶×3⁶×5 | ✓ EXACT |
| Hγ-linked AZ | −272.7076956241°C | −5⁵π/36 | 235,619.449019 | 75,000π = 2³×3×5⁵×π | ✓ EXACT |
| H-mass AZ ★ CONFIRMED | −272.8994223112°C | −(200/27)×C_body | 235,785.100877 | 2⁸×5⁷/(3³×π) | ✓ EXACT |
| Conventional AZ | −273.1500000000°C | ideal gas extrapolation | 236,001.600 | contains prime 607 | ✗ 917.36 ppm |
FOT absolute zero is set by body temperature — exactly
The confirmed FOT absolute zero is derived from a single algebraic identity connecting it to the body-temperature lattice node through a pure {2,3,5} rational number. No approximation. No fitting. One ratio locks the two quantities together.
= −(2³×5² / 3³) × (10⁵ / (864π))
= −20,000,000 / (23,328π)
= −272.8994223112°C [CONFIRMED]
FOT K = 20,000,000/(27π) = 2⁸×5⁷/(3³×π) = 235,785.100877
Ratio: AZ / C_body = −200/27 = −2³×5²/3³ [exact, pure {2,3,5}]
Bridge: AZ × 864 = 6400 × C_body where 6400 = 2⁸×5² [exact]
Offset from conventional: 0.2505777°C = 0.2506 K above conventional AZ (917.36 ppm)
The ratio −200/27 = −(2³×5²)/(3³) contains only primes 2, 3, and 5. Absolute zero and body temperature are at a fixed rational distance in the {2,3,5,π} lattice — connected through the same hydrogen-derived numbers that appear in the atomic mass chain and the c_G2 speed-of-light derivation.
Three scales — three register projections of the same T-flow rate
Fahrenheit: T_F = 10³/π² = 101.3211836423°F [π², geometric helix]
Celsius: T_C = 10⁵/(864π) = 36.8414220120°C [π¹ × 864 Earth bridge]
K / C = 86,400,000 = 2¹⁰×3³×5⁵ [Earth day in milliseconds — EXACT]
K / F = π × 10⁷ [exact]
C × 864 = 10⁵/π [exact bridge]
Key propositions from this section
T_K = 10¹⁰/π = 3,183,098,861.837907. Kelvin encodes T-flow rate in the wavelength domain (Wien's law: T ∝ 1/λ_max). The π¹ denominator encodes the circular (orbital) nature of wavelength measurement.
T_F = 10³/π² = 101.3211836423°F. Fahrenheit encodes the geometric helix register — freeze-to-boil span = 180 = 2²×3²×5 (strand angle). Original anchors 32 = 2⁵ and 96 = 2⁵×3 are pure {2,3,5}.
T_C = 10⁵/(864π) = 36.8414220120°C. Celsius is calibrated to Earth's surface register through 864 = 2⁵×3³ (Earth-day bridge: 86,400 s/day = 864×100). K/C = 86,400,000 = Earth day in milliseconds — exact.
Three FOT absolute zero positions — all exact {2,3,5,π} lattice nodes: −270.0°C = −2×3³×5; −272.7077°C = −5⁵π/36; −272.8994223°C = −(200/27)×C_body. The conventional value −273.15°C breaks the lattice (contains prime 607) and lies 917.36 ppm from the nearest node.
FOT absolute zero = −(200/27)×C_body = −272.8994223112°C. The ratio AZ/C_body = −200/27 = −(2³×5²)/(3³) is a pure {2,3,5} rational, exact. Bridge: AZ×864 = 6400×C_body (6400 = 2⁸×5²). FOT K = 2⁸×5⁷/(3³×π) = 235,785.100877. Conventional offset: 917.36 ppm.
Hydrogen Balmer-beta (486 nm = 2×3⁵) as Fahrenheit coordinate: K/π = 4,860,000,000 = 2⁸×3⁵×5⁷ and C/π = 5,625,000 = 2³×3²×5⁷ — both simultaneously pure {2,3,5} integers. Hβ is the unique spectral line that is a double lattice anchor in the temperature–wavelength coordinate system.