Absorption records the opposite direction with the same gap. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Absorption uses the same two energies

Changing the direction to absorption does not change the gap value.

EupperElower=94=5 JE_{upper} - E_{lower}=9 - 4=5\ \mathrm{J}
Absorption directionDirection is checked separately from the subtraction.E_lower=4 JE_upper=9 Jdirection=absorptiongap=5 Jlowerupper5

The photon direction changes, not the arithmetic

The accepted gap is still 5 joules, with direction recorded as absorption.

ΔE=5 J\Delta E=5\ \mathrm{J}
Same gapThis is a bookkeeping model, not a lifetime model.E_lower=4 JE_upper=9 Jdirection=absorptiongap=5 Jlowerupper5