07
Fourier–Factorial Quadratic Law
—
factorial source
representation
n from domain A
m from domain B
F_n = —!0d
—
F_m = —!0d
—
Q_n = (n!)²0d
—
Q_m = (m!)²0d
—
ΔQ = Q_n − Q_m——
—
ΔQ magnitude digits: 0
!
Interpretation
- Arbitrary precision. Factorials and their squares are exact integers, never floats — computed with big integers, so 20!² is exact rather than approximate.
- Integer inputs only. n and m come from the integer numeration (peak or mean of the quantized sequence) or from manual entry. A raw float never becomes a factorial input.
- Two representations. The complete factorial scalar treats each domain as one number. The component form produces a quadratic pair per quantized index. These are different objects and are never treated as interchangeable.
- Equivalence. Detected only when ΔQ is exactly zero. Near-misses stay non-equivalent.
- Status. FFQL-01 is the operator's research hypothesis. Its outputs are mathematical consequences of the definition — never evidence that the hypothesis describes the world.
≡
Current frame values
- n
- —
- m
- —
- Q_n digital length
- —
- ΔQ length
- —
- equivalence
- —
- sign
- —