Cross-Modal Address Agreement

Optical Field Addresses Same Count

pixels to fields

Optical fields become comparable only after pixel mapping closes. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Magnification fixes the image field

A 3 m sample segment at magnification 4 gives image length 12 m.

Limage=3 m⋅4=12 mL_{\text{image}}=3\ \text{m}\cdot4=12\ \text{m}
Pixel mappingMagnification and pixels bind image length to addresses.sampleimagecovered3 m12 m6 px each 2 m4 fields -> 48 m

Fields are addressable optical tiles

The field has 6 pixels, so one pixel spans 2 m. The checked tile count is 4 fields.

Nfields=4N_{\text{fields}}=4
Pixel mappingMagnification and pixels bind image length to addresses.sampleimagecovered3 m12 m6 px each 2 m4 fields -> 48 m