Christoph Schiller MOTION MOUNTAIN the adventure of physics – vol.iii light, charges and brains www.motionmountain.net ChristophSchiller Motion Mountain The Adventure of Physics Volume III Light, Charges and Brains Edition24.24,available asfreepdfat www.motionmountain.net Editiovicesimaquarta. Proprietasscriptoris©ChrestophoriSchiller tertioannoOlympiadisvicesimaenonae. Omniaproprietatisiurareservanturetvindicantur. Imitatioprohibitasineauctorispermissione. Nonlicetpecuniamexpetereproaliquo,quod partemhorumverborumcontinet;liber proomnibussempergratuituseratetmanet. Twenty-fourthedition. Copyright©2010byChristophSchiller, thethirdyearofthe29thOlympiad. ThispdffileislicensedundertheCreativeCommons Attribution-Noncommercial-NoDerivativeWorks3.0Germany Licence,whosefulltextcanbefoundonthewebsite creativecommons.org/licenses/by-nc-nd/3.0/de, withtheadditionalrestrictionthatreproduction,distributionanduse, inwholeorinpart,inanyproductorservice,beit commercialornot,isnotallowedwithoutthewrittenconsentof thecopyrightowner.Thepdffilewasandremainsfreeforeverybody toread,storeandprintforpersonaluse,andtodistribute electronically,butonlyinunmodifiedformandatnocharge. ToBritta,EstherandJustusAaron τῷἐμοὶδαὶμονι DieMenschenstärken,dieSachenklären. PREFACE “Primummovere,deindedocere.* ” Antiquity This book is written for anybody who is curious about nature and motion. Curiosity M o about how people, animals, things, images and space move leads to many adventures. tio n Thisvolumepresentstheadventuresoneencounterswhenexploringeverythingelectric. Mo u n The story ranges from the weighing of electric current to the use of magnetic fields to tain healbonefracturesanduptotheunderstandingofthehumanbrain. –Th e In the structure of physics, shown in Figure 1, motion due to electricity is the most A d ve fascinatingaspectofthestartingpointatthebottom.Indeed,almosteverythingaround ntu us is due toelectric processes.The presentintroductionto electricity,magnetism, light reo f P aanimdtthheatbIrahianviespthuerstuheidrdsoinfcaes1i9x9-v0o:ltuompereosveenrtvmieowtioofnpihnyasicwsatyhtahtaatroissesifmropmle,autphrteoedfoaltde hysics p d andcaptivating. f fi le necIenssoarrdyermtionbimeusimm.plUe,ntdheerstetaxntdfoincgustehseocnocnocnecpetpstos,fwphhyilseickseeispignigvemnapthreecmedateincscetootvheer availab le usingformulaeincalculations.Thewholetextiswithinthereachofanundergraduate. free o Inordertobeuptodate,thetextisenrichedbythemanygems–boththeoreticaland fch empirical–thatarescatteredthroughoutthescientificliterature. arg e Inordertobecaptivating,thetexttriestostartlethereaderasmuchaspossible.Read- atw w ing a book on general physics should be like going to a magic show. We watch, we are w.m o astonished, we do not believe our eyes, we think, and finally we understand the trick. tio n m Whenwelookatnature,weoftenhavethesameexperience.Indeed,everypagepresents o u n atleastonesurpriseorprovocationforthereadertothinkabout.Numerousinteresting tain .n challengesareproposed. et C Themottoofthetext,dieMenschenstärken,dieSachenklären,afamousstatementby o p HartmutvonHentigonpedagogy,translatesas:‘Tofortifypeople,toclarifythings.’Clar- yrig h t ifyingthingsrequirescourage,aschanginghabitsofthoughtproducesfear,oftenhidden © C h byanger.Butbyovercomingourfearswegrowinstrength.Andweexperienceintense risto p and beautifulemotions.Allgreatadventuresin life allow this, and exploringmotion is h S ch oneofthem. iller N o Munich,24June2011. vemb e r 1 9 9 7 – Ju *‘Firstmove,thenteach.’Inmodernlanguages,thementionedtypeofmoving(theheart)iscalledmotivat- ne 2 ing;bothtermsgobacktothesameLatinroot. 01 1 8 preface PHYSICS: Unified description of motion Why does motion Describing motion with action. Adventures: understanding occur? What are motion, intense joy with space, time and thinking, catching a quantum particles? glimpse of bliss, calculating masses and couplings. Quantum General relativity theory with gravity Quantum field theory Adventures: the Adventures: bouncing Adventures: building night sky, measu- neutrons, under- accelerators, under- ring curved space, standing tree standing quarks, stars, exploring black growth. bombs and the basis of holes and the life, matter, radiation. Mo universe, space How do small tionM and time. things move? ou n What are things? tain – How do The Classical gravity everyday, Special relativity Quantum theory Adve Adventures: fast and large Adventures: light, Adventures: death, ntu climbing, skiing, things move? magnetism, length sexuality, biology, reo f space travel, contraction, time enjoying art and P h the wonders of dilation and colours, all high-tech ysics astronomy and E0 = mc2. business, medicine, pd geology. chemistry, evolution. ffi le G c h, e, k availab le Galilean physics, heat and electricity freeo f Adventures: sport, music, sailing, cooking, ch describing beauty and understanding its origin, arge using electricity and computers, atw w understanding the brain and people. w .m o FIGURE 1 Acompletemapofphysics:theconnectionsaredefinedbythespeedoflightc,the tion m gravitationalconstantG,thePlanckconstanth,theBoltzmannconstantkandtheelementarychargee. ou n tain .n et C o Advice for learners pyrig h t © Inmyexperienceasateacher,therewasonelearningmethodthatneverfailedtotrans- Ch form unsuccessful pupilsintosuccessful ones: if you readabook for study, summarize ristop h every section you read, in your own words, aloud. If you are unable to do so, read the Sch section again. Repeat this until you can clearly summarize what you read in your own iller N o words,aloud.Youcandothisaloneinaroom,orwithfriends,orwhilewalking.Ifyou vem b dothiswitheverythingyouread,youwillreduceyourlearningandreadingtimesignif- er 1 9 icantly. In addition, you will enjoy learning from good texts much more and hate bad 97 – textsmuchless.Mastersofthemethodcan use itevenwhilelisteningtoalecture,ina Jun e 2 lowvoice,thusavoidingtoevertakenotes. 01 1 preface 9 Using this book Textingreen,asfoundinmanymarginalnotes,marksalinkthatcanbeclickedinapdf reader. Such green links are either bibliographic references, footnotes, cross references tootherpages,challengesolutions,orpointerstowebsites. Solutionsandhintsforchallengesaregivenintheappendix.Challengesareclassified as research level (r), difficult (d), standard student level (s) and easy (e). Challenges of typer,dorsforwhichnosolutionhasyetbeenincludedinthebookaremarked(ny). Feedback and support This text is and will remain free to download from the internet. In exchange, I would [email protected],especiallyonthe followingissues: Mo tio n Challenge1s — Whatwasunclearandshouldbeimproved? Mo u n — Whatstory,topic,riddle,pictureormoviedidyoumiss? tain — Whatshouldbecorrected? –Th e A d Alternatively,youcanprovidefeedbackonline,onwww.motionmountain.net/wiki.The ve n feedbackwillbeusedtoimprovethenextedition.Onbehalfofallreaders,thankyouin ture o advanceforyourinput.Foraparticularlyusefulcontributionyouwillbementioned–if fP h youwant–intheacknowledgements,receiveareward,orboth. ysics Your donation to the charitable, tax-exempt non-profit organisation that produces, pd f fi translates and publishes this book is welcome! For details, see the web page www. le motionmountain.net/donation.html. If you want, your name will be included in the availab sponsor list. Thank you in advance for your help, in the name of all readers across the le world.Butaboveall,enjoythereading! freeo f ch arg e at w w w .m o tio n m o u n tain .n et C o p yrig h t © C h risto p h S ch iller N o vem b e r 1 9 9 7 – Ju n e 2 0 1 1