gatehorizon

the question

Can a bfloat16-stored decay gate represent slow-forgetting memory half-lives?

what came out

In bfloat16 near 1 the gate spacing is 2^-8, so any target decay below 2^-9 snaps to exactly 1.0 (never forgets) and the longest finite half-life is ln2*2^8=177.4. Half-lives in (177.4, inf) are unreachable and targets between 177 and 355 collapse to 177.4. Absent in fp32.

→ read the code and re-run it