E=mc²: We’ve all heard of it. But what does it mean?
EinÂstein’s Big Idea, a film from the PBS Nova series, attempts to shed a litÂtle light on Albert EinÂstein’s equaÂtion by breakÂing it down into its comÂpoÂnent parts and telling a stoÂry behind the develÂopÂment of each one. NarÂratÂed by actor John LithÂgow, the film is based on David Bodanis’s 2000 bestÂseller E=mc²: A BiogÂraÂphy of the World’s Most Famous EquaÂtion. It preÂmiered in 2005, the 100th anniverÂsary of EinÂstein’s Annus Mirabilis–the “miracÂuÂlous year” when the 26-year-old patent clerk pubÂlished five papers withÂin a six-month periÂod that would revÂoÂluÂtionÂize 20th cenÂtuÂry physics. Among those five were EinÂstein’s paper outÂlinÂing what latÂer became known as the SpeÂcial TheÂoÂry of RelÂaÂtivÂiÂty, and a short folÂlow-up paper derivÂing his forÂmuÂla for the equivÂaÂlence of mass and enerÂgy, which he first statÂed as m=E/c².
Does EinÂstein’s Big Idea actuÂalÂly explain the equaÂtion? Alas, no. Not even close. ApparÂentÂly, the filmÂmakÂers’ “big idea” was that they might be able to evoke empaÂthy among young viewÂers and stimÂuÂlate interÂest in sciÂence by porÂtrayÂing EinÂstein as a rebelÂlious young man with a healthy sex driÂve. The movie feaÂtures draÂmatÂic depicÂtions of events, not only in EinÂstein’s earÂly life, but in the lives of sevÂerÂal othÂer imporÂtant figÂures in the hisÂtoÂry of sciÂence: the 19th cenÂtuÂry EngÂlishÂman Michael FaraÂday, whose extenÂsive experÂiÂments and intuÂitive theÂoÂries in elecÂtricÂiÂty and magÂnetÂism led directÂly to James Clerk Maxwell’s forÂmal disÂcovÂery that light was an elecÂtroÂmagÂnetÂic wave; the 18th cenÂtuÂry French chemist Antoine LavoisiÂer, whose disÂcovÂery of the conÂserÂvaÂtion of mass had to be re-forÂmuÂlatÂed as the conÂserÂvaÂtion of mass-enerÂgy in the wake of EinÂstein’s RelÂaÂtivÂiÂty TheÂoÂry; the 18th cenÂtuÂry French transÂlaÂtor of Isaac NewÂton, EmiÂlie du Châtelet, who used the empirÂiÂcal findÂings of Willem Gravesande to change NewÂton’s forÂmuÂla for enerÂgy from E=mv to the one favored by GotÂtfried WilÂhelm LeibÂniz, E=mv²; and the AusÂtriÂan-born physiÂcist Lise MeitÂner, whose groundÂbreakÂing research into nuclear fisÂsion in the 1930s helped conÂfirm the accuÂraÂcy of EinÂstein’s equaÂtion. TogethÂer, the scenes depict the hisÂtoÂry of sciÂence as a romanÂtic strugÂgle of extraÂorÂdiÂnary indiÂvidÂuÂals against the resisÂtance of lessÂer minds.
To learn more about RelÂaÂtivÂiÂty and E=mc², here are some free online resources:
“On the ElecÂtroÂdyÂnamÂics of MovÂing BodÂies”, EinÂstein’s famous paper from the June 30, 1905 ediÂtion of Annalen der Physik, outÂlinÂing the SpeÂcial TheÂoÂry of RelÂaÂtivÂiÂty. AvailÂable as HTML or PDF.
“Does the InerÂtia of a Body Depend on Its EnerÂgy ConÂtent?”, EinÂstein’s three-page folÂlow-up to the paper above, derivÂing his famous equaÂtion from the prinÂciÂples laid out in the earÂliÂer work. It was pubÂlished in Annalen der Physik on SepÂtemÂber 27, 1905 and is availÂable online as a PDF.
RelÂaÂtivÂiÂty: The SpeÂcial and GenÂerÂal TheÂoÂry, EinÂstein’s clasÂsic guide for the lay readÂer, writÂten in 1916 and availÂable free in varÂiÂous forÂmats at Project GutenÂberg.
The ABC of RelÂaÂtivÂiÂty, Bertrand RusÂselÂl’s very accesÂsiÂble 1925 book, availÂable in an abridged audio ediÂtion through links in our Feb. 18 post.
CoursÂes on EinÂstein can be found in the Physics secÂtion of our colÂlecÂtion of 500 Free Online CoursÂes. And don’t miss EinÂstein for the MassÂes, a lecÂture givÂen by RamaÂmurÂti Shankar, ProÂfesÂsor of Physics & Applied Physics at Yale.