I haven’t read this thread at all, so if my questions have been addressed, please link to the relevant post:
a) What use is the random-factor, if it is a certainty that one pulse will connect? It must be mathematically guaranteed to turn the light on, or else it wouldn’t sell. If so, does it make any difference at all that some pulses won’t go through?
b) Granted that it is muttar – Can we discuss (preferably with Halachic/Hashkafic sources from previous generations) exactly what the problem would be with using such technology? People are talking about the “spirit of Shabbos” and the “sanctity”: Does “spirit” have any place in Yiddishkeit?
Disclaimer: I know nothing about Hilchos Shabbos; I am not presenting an opinion, merely questioning.