ism ). ▁ ▁Although ▁at ▁the ▁time ▁quantum ▁mechan ics ▁( and ▁physical ▁ind et erm in ism ) ▁was ▁only ▁in ▁the ▁initial ▁stages ▁of ▁accept ance , ▁in ▁his ▁book ▁Mira cles : ▁A ▁pre lim inary ▁study ▁C . S . ▁Lewis ▁stated ▁the ▁logical ▁possibility ▁that ▁if ▁the ▁physical ▁world ▁were ▁proved ▁ind et erm in istic ▁this ▁would ▁provide ▁an ▁entry ▁point ▁to ▁describe ▁an ▁action ▁of ▁a ▁non - phys ical ▁entity ▁on ▁physical ▁reality . ▁Ind et erm in istic ▁physical ▁models ▁( part icular ly ▁those ▁involving ▁quantum ▁ind et erm in acy ) ▁introduce ▁random ▁occurr ences ▁at ▁an ▁atomic ▁or ▁sub atomic ▁level . ▁These ▁events ▁might ▁affect ▁brain ▁activity , ▁and ▁could ▁seem ingly ▁allow ▁in compat ibil ist ▁free ▁will ▁if ▁the ▁apparent ▁ind et erm in acy ▁of ▁some ▁mental ▁processes ▁( for ▁instance , ▁subject ive ▁per ception s ▁of ▁control ▁in ▁conscious ▁vol ition ) ▁map ▁to ▁the ▁underlying ▁ind et erm in acy ▁of ▁the ▁physical ▁construct . ▁This ▁relationship , ▁however , ▁requires ▁a ▁caus ative ▁role ▁over ▁prob abilities ▁that ▁is ▁question able , ▁and ▁it ▁is ▁far ▁from ▁established ▁that ▁brain ▁activity ▁responsible ▁for ▁human ▁action ▁can ▁be ▁affected ▁by ▁such ▁events . ▁Second arily , ▁these ▁in compat ibil ist ▁models ▁are ▁dependent ▁upon ▁the ▁relationship ▁between ▁action ▁and ▁conscious ▁vol ition , ▁as ▁studied ▁in ▁the ▁neu ros cience ▁of ▁free ▁will . ▁It ▁is ▁evident ▁that ▁observation ▁may ▁disturb ▁the ▁outcome