ThispresentedEinsteinwith a dauntingdilemma. ThisconflictbetweentheideasofNewtonandMaxwellcanbedemonstratedwithanotherofEinstein's brilliantthoughtexperiments.
Einsteinimaginedhimselfon a trainplatformwitnessingtwolightningboltsstrikeoneithersideofhim.
Now, becauseEinsteinstandspreciselyinthemiddleofthetwostrikes, hereceivestheresultingbeamsoflightfrombothsidesatthesametime. However, thingsgetmorecomplicatedwhensomeoneon a passingtrainviewsthiseventwhilewhizzingpastEinsteinatthespeedoflight.
Aswehavelearned, thismeans a variablepassageoftime. ThisiswhathappensinthemovieInterstellarwhentheprotagonistslandon a planetintheproximityof a blackhole.
A secondpasseseachtimethephotonisreflected. Let's imaginetwopeople, onein a spaceshipslightlyaboveEarth's atmosphere, andthesecondontopof a smallhilljustabovetheEarth's surface.
Botharewatching a manfallfromspacetowardstheground.
Let's saythatthefallingmaniscarryingthephotonclocklikeexplained a momentago.
Whatdoeachofthetwomenobserveasthemanfallspastthem? Whattheyobserveiseerilysimilartowhat a stationarypersonwouldobservewhenwatching a ballbouncein a movingtrain.
Thiswouldmeanthatthelighttravels a longerdistance, consequentlystretchingthedurationof a second. Itisobviousthatthelengthoftrianglesthelighttraces, andthereforethedurationof a second, isproportionaltothevelocityofthefallingman.