Parallax and Flux Ledgers

Luminosity Spreads by Distance Square

A normalized inverse-square flux ledger keeps luminosity and distance tied. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Distance is squared before flux is computed

The source luminosity is 16 watts and the distance is 2 meters, so distance square is 4 square meters.

d2=(2 m)2=4 m2d^{2}=(2\ \text{m})^{2}=4\ \text{m}^{2}
Distance-square ledgerThe received flux uses the checked square.luminosity=16 Wdistance=2 mdistanceSquared=4 m^2flux=4 W/m^2geometryRole=normalized inverse-square flux

The received flux is luminosity over distance square

Dividing 16 watts by 4 square meters gives flux 4 watts per square meter.

F=16 W4 m2=4 W/m2F=\frac{16\ \text{W}}{4\ \text{m}^{2}}=4\ \text{W}/\text{m}^{2}
Normalized fluxThe four-pi geometry constant is outside this model.luminosity=16 Wdistance=2 mdistanceSquared=4 m^2flux=4 W/m^2geometryRole=normalized inverse-square flux