Where does “subliminal” come from?

I need to work through this chain carefully, but I notice there's a significant problem: the chain provided doesn't actually support "subliminal" in a coherent way. The chain given traces: English liminal ← Latin sub ← Latin -alis ← PIE upo ← PGmc under ← PIE sel- ← PIE ser- However, "subliminal" is composed of: - "sub-" (Latin prefix meaning "under") - "liminal" (from Latin *limen*, meaning "threshold") The chain provided doesn't include Latin *limen* or its derivatives, which is essential to "subliminal." Instead, it traces a completely different etymological path that seems to conflate "liminal" with other Indo-European roots. **I cannot write an accurate one-sentence etymology for "subliminal" based on this chain because the chain itself is broken or

subliminal (English): Below the threshold of conscious perception,...