Âʼ³É© ǦǎǓǢǠǢǍƾ˦ǠƾǎǢdžǓˢ˓ǓˎǕǘˠˑ ǏǩǝƸːǃˢˑǔ˯ǁ ƭǢƾǝDžˤˑǏ ƫǢnjǧǝǓƫǔǓǢǘǦǖ˞DžǙ˯ǘǙǏƺǠǏƫǢǓǦǎǓǢ ǭȨǔ˱ƸǦǠƫƭǢǜ ǮȨǔ˱Ƹǔˠ˓DžǃˠǀǃǢǏ ǯȨƫǢnjǘ˯ǂˠǓǏƺǠǏǖˏǍǍ˯ǕˎDž ǰȨǔ˱Ƹǔˠ˓DžǠˠǔnjƭǢǜ DZȨƾǎǠDžǂˎdžǧǝːǏǦǎǓǢ ƭǢƾǔǠǏ ǪǓƫǃˢˑ Ǩnj˒ƫǢǓǦǎǓǢ DzȨǪǓƫǔnj˒ǢǏǍǢƫǦǝǂ˯ƫǢnjLj˚ǨdžːǩƼːǔnjnjǜǔˠˑǏ dzȨǦdž˦ˑǠǨǎǘǢƫnjLj˚ǨdžːǦǜˢǘǏǜǠ ǴȨǜǓǎˎǂǩDžǐǢDžǥǔˎdžǜˎǃNjƭǢǜ 11 19 27 43 61 79 91 99 109
ƭǢƾǔǢdž ǃˢˑ džǢƺǠǏǦǎǓǢ ǵȨǦǎǓǢƾ˦ǠǠǎˠƼƼǢ ǭǬȨdž˯dždžǠǏ ǭǭȨǔˠˑǏǃˢˑǙ˯ǁǕˎǏǦƫˠǁǍǢƫƾǎǢdžǦǒǜǢǥǦǍǢǥǍǏ ǭǮȨƫǓˠˑ DžƺǠǏƺDždžǨƺː ǭǯȨǃˢˑdžǢƺǠǏǦǎǓǢ Dž˒ǠǏǔǢǎǧǝːǏƫǢnjǝǓˎǕǩǝǓ njǢǘǓǥǦǠˢǘǁƭǢǜ ǦƼˠǏǠnjnjƬ 121 131 143 153 171 181 189 191
ÔÀ¾ÊÅÊĶ£ÏÅ£Àʺ¾Íݾɳ»Ìܦ×éĉ°ÍÜÂÐIJ âĆēúĔħèùňĐąåĬĕúĘħğĆĕâĬĕĈĔèâĈŇĕĊĐąĜŇüĘĨ ğĊĈĕéĐĄãġĄą âĦģ÷ňĈĔâāĆĕâéĕâģþ ĄėĄĘčėħèĢ÷ĐĕéĎĊüåĚü+++ ÿĄĎąě÷ĠĈēģĄŇúĬĕčėħèĢ÷ğĈąģĄŇĄĘčėħèĢ÷ğâė÷ãęĨü ÿĄģĄŇģ÷ňåė÷ùęèčėħèĢ÷ğĈą ģ÷ňĠøŇüėħèĂŌèâĕĆğåĈĚħĐüÿŇĕüãĐèğĊĈĕ üĘħåĚĐğĊĈĕ åěňüğåąĠĈēëė÷ĢâĈň ğĆĕĈňĊüĐĕċĔąĐąĜŇĢüğĊĈĕ âĕĆğĆŇèĆĘħãĐè ĊėüĕúĘëĔħĊġĄèþĿìęħèğĎĊĘħąèğĆĕğãňĕčĜŇëĘĊėøĠĈňĊĈĕâğĆĕčĜŇčěîîøĕğĆĕĐĕċĔąĐąĜŇ ĢüğĊĈĕåĈňĕąþĈĕĐĕċĔąĐąĜŇĢüüĬĨĕâĕĆ÷ĬĕĆèĐąĜŇãĐèğĆĕåĚĐâĕĆ÷ĬĕĆèĐąĜŇĢüğĊĈĕ ÷üøĆĘĠčüğåĆŇèãĆęĄãĐèğĊĈĕĎĈŇĐğĈĘĨąèğĆĕğþľ÷ġĈâĢĎňğĆĕčĆňĕèþŌîĎĕĢĎňğĆĕ úĬĕĢĎňğĆĕøĚħüâĈĔĊĠĈēğĎŇâĈŇĐĄğĆĕğĐâăāåĈĘħøĔĊčĜŇĐüĕåøùĜâğĊĈĕĈĕâ÷ęèģþ ĠĈē÷ĬĕğüėüģþøĕĄĆēýýĆēğýĘąýĠĎŇèğĊĈĕ ĢüþâĆöĔĄđėü÷Ĝ ĠĄŇüĬĨĕĠĎŇèéĔâĆĊĕĈêĕąğþŎüăĕāċėĊēğĆėèĆēýĬĕ âĕĆ ğĆėèĆēýĬĕãĐèāĆēċėĊēåĚĐâĕĆāąěèéĔâĆĊĕĈĢĎňĎĄěüģþ âĕĆğĆėèĆēýĬĕüĔĨüġ÷ą øĔĊğĐèĠĈňĊåĚĐâĕĆģĎĈģþãĐèğĊĈĕâĦĐēģĆéēğþŎüčĕâĈĠĈēğĎĦüëĔ÷ąėħèģþâĊŇĕ âĕĆģĎĈģ÷ňĐĘâğĈŇĕ ĠøŇâĆēüĔĨü čėħèøŇĕèĥ âĦâĈĔýĠĈ÷ĜìĔýìňĐüâĊŇĕüĘĨ čăĕĊēúĘħğþŎüéĆėèĄĔâ
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âĊŇĕ ĠâŇøĔĊĈèüňĐąâĊŇĕ âĈģâãĐèüĕďľâĕĈĜâøěňĄøė÷ÿüĔèãĐèğãĕâĦĠâĊŇèģâĊ üňĐąåĆĔĨèâĊŇĕğãĕĄĘğĊĈĕúĬĕčėħèøŇĕèĥüňĐąâĊŇĕøňüģĄňãĐèğãĕğøėýġøüňĐąâĊŇĕ åĊĕĄåė÷ãĐèğãĕĄĘğĊĈĕåĈĘħåĈĕąĐĐâĄĕüňĐąâĊŇĕ÷ňĊąüĔħüğþŎüğāĘąèğāĆĕē ĢüúĘħøĬħĕâĊŇĕĄĘğĊĈĕüňĐąâĊŇĕúĘħčĜèâĦğúŇĕüĔĨü þĆēĎĈĕ÷ĢéģĎĄåĆĔý!ĐĕéüŇĕþĆēĎĈĕ÷úĊŇĕġĈâğþŎüĠýýüĘĨĢüýĕèúĘħ ğĊĈĕğ÷ėüëňĕâĊŇĕĠĈēĢüýĕèúĘħğĊĈĕğ÷ėüğĆĦĊâĊŇĕ čėħèúĘħĐĕéüŇĕþĆēĎĈĕ÷ĢéâĊŇĕâĦåĚĐĄĘåüğãňĕĢéğĆĚħĐèâĕĆëňĕĈèãĐèğĊĈĕĄĕ üĕüĠĈňĊøĔĨèĠøŇĎüęħèċøĊĆĆČâŇĐüĎüňĕğĆĕéēĄĘüĕďľâĕúĘħĠĄŇüąĬĕāĐéēĊĔ÷âĕĆ ëňĕĈèüĘĨģ÷ň÷ňĊąìĬĨĕĠüŇüĐüëĚħĐãĐèğãĕåĚĐĐĔĈğýėĆŋøģĐüŋčģøüŋ åĊĕĄčĕĄĕĆùĢüâĕĆğãňĕĢéýĕèčėħèâŇĐüčĔèğâøāýåĚĐĎĔĊĢéãĐèåĊĕĄåė÷ úĕèĊėúąĕċĕčøĆŋĢüčĄĔąġýĆĕöĐēüĔâìėĄĕüğ÷ĐĆŋ#PCZKOCPFGTğãňĕĢé ĊŇĕúňĐèĂŃĕ÷ĬĕğüėüøŇĐğüĚħĐèģþéüùęèĢøňğúňĕãĐèğĆĕâŇĐüúĘħğĆĕéēĠĈŇüĆĐýġĈâ ĢüëŇĊèøňüãĐèąěåĢĎĄŇġåğþĐĆŋüėåĔč%QRGTPKEWUğãňĕĢéĊŇĕġĈâĎĄěüâŇĐüúĘħ üĔâýėüĐĊâĕċéēğĎĦüğëŇüüĔĨüéĕâ÷ĊèéĔüúĆŋ åĈňĕąâĔüģĐüŋčģøüŋâĦğãňĕĢéĊŇĕ ğĊĈĕģĄŇģ÷ňğ÷ėüģþğúŇĕâĔüúěâĎüĠĎŇèâŇĐüāĔõüĕâĕĆãĐèüĕďľâĕéēĠĄŇüąĬĕ ĄĕâùęèãĔĨüĊĔ÷åĊĕĄĠøâøŇĕèãĐèğĊĈĕģ÷ň ĢüâňĕĊøŇĕèĥğĎĈŇĕüĔĨü ğĆĕğĆĘąüĆĜňĊŇĕčėħèøŇĕèĥ úĘħĠĈ÷ĜåĈňĕąéĆėèĠúňĢü øĔĊğĐèğčĘąğĎĈĚĐğâėüčĬĕĎĆĔýğĆĕĠúňéĆėèĠĈňĊâĈĔýğþŎüğāĘąèĐåøėĠüŇëĔ÷ğĎĈĚĐğâėü ĊŇĕúňĐèĂŃĕĐąĜŇğĎüĚĐĎĔĊğĆĕģĄŇĄĘúĕèģþĐąĜŇãňĕèĢøňģ÷ňģĄŇĐąŇĕèüĔĨüġĈâåèøňĐèāĈėâ 10 the order of time less, the mechanism of his cuckoo clock has oscillated fewer times. He has had less time to do things, his plants have grown less, his thoughts have had less time to unfold . . . Lower down, there is simply less time than at altitude. Is this surprising? Perhaps it is. But this is how the world works. Time passes more slowly in some places, more rapidly in others. The surprising thing, perhaps, is that someone understood this slowing down of time a century before we had clocks precise enough to measure it. His name, of course, was Albert Einstein. The ability to understand something before it’s observed is at the heart of scientific thinking. In antiquity, Anaximander understood that the sky continues beneath our feet long before ships had circumnavigated the Earth. At the beginning of the modern era, Copernicus understood that the Earth turns long before astronauts had seen it do so from 9780241292525_TheOrderOfTime_TXT.indd 10 2/9/18 2:44:37 AM ăĜğãĕ ğĊĈĕĄĕââĊŇĕ Ćē÷ĔýüĬĨĕúēğĈ ğĊĈĕüňĐąâĊŇĕ
âĈĔýëĔ÷ğéüüĔâĎüĕĊŇĕġĈâģĄŇģ÷ňãąĔýğåĈĚħĐüģĄŇĐąŇĕèüĔĨüúěâčėħèåèāěŇèğãňĕþēúē âĔüâĕĆúĘħğĊĈĕğ÷ėü÷ňĊąåĊĕĄğĆĦĊğúŇĕâĔüúěâĎüĠĎŇèâĦĠĈ÷ĜéĆėèčĬĕĎĆĔýğĆĕĄĕâ āĐĥ âĔüğ÷ĦâĥġøãęĨü ĠĈēåňüāýĊŇĕġĈâģĄŇģ÷ňğþŎüĆĜþčĘħğĎĈĘħąĄğĎĄĚĐüĢü ĊèĈňĐĄãĐèâĬĕĠāèýňĕüĄüěČąëĕøėúĔĨèþĊèâĦğþŎüğëŇüğ÷ĘąĊâĔü ģĐüŋčģøüŋùĕĄøĔĊğĐè÷ňĊąåĬĕùĕĄğ÷ĘąĊâĔýúĘħğĆĕĐĕéğåąčèčĔąğĄĚħĐċęâČĕ ğĆĚħĐèĠĆèġüňĄùŇĊè üĔħüåĚĐ ÷ĊèĐĕúėøąŋâĔýġĈâ ¾÷ęè÷Ĝ÷¿ âĔüĠĈēâĔüġ÷ąģĄŇģ÷ň čĔĄÿĔčâĔüĠĈēģĄŇģ÷ňĢëňþĆēġąëüŋéĕâčėħèĢ÷ĥĆēĎĊŇĕèâĔüģ÷ňĐąŇĕèģĆ ğãĕĄĐèĎĕåĬĕĐûėýĕąúĘħğþŎüģþģ÷ň ĠĈēāýåĬĕĐûėýĕąĎüęħè÷ňĊąâĕĆ éėüøüĕâĕĆĊŇĕ÷ĊèĐĕúėøąŋĠĈēġĈâģĄŇģ÷ň÷ęè÷Ĝ÷âĔüĠĈēâĔüġ÷ąøĆèúĊŇĕĠøŇĈē ĐąŇĕèåŇĐąĥâĆēúĬĕâĔýčėħèúĘħĐąĜŇĆēĎĊŇĕèāĊâĄĔüĠøŇğüĚħĐèéĕâčėħèúĘħĐąĜŇĆēĎĊŇĕè āĊâĄĔüĄĘğāĘąèĐĊâĕċĠĈēğĊĈĕğãĕéęèéėüøüĕâĕĆĊŇĕ ÷ĊèĐĕúėøąŋĠĈēġĈâ øŇĕèģþ÷Ĕ÷ĠþĈèĐĊâĕċĠĈēğĊĈĕúĘħĐąĜŇĆĐýøĔĊğĐè ğĎĄĚĐüğĄĚħĐğĆĕĈèģþĢüüĬĨĕ ĆŇĕèâĕąâĦģþĠúüúĘħüĬĨĕĆĐýøĔĊ âĕĆ÷Ĕ÷ĠþĈèġåĆèčĆňĕèãĐèğĊĈĕüĘĨĄĘĐėúûėāĈ âĈĔýĄĕčĜŇâĕĆğåĈĚħĐüúĘħãĐèĊĔøùěúĬĕĢĎňāĊâĄĔü¾ĎĈŇü¿čĜŇâĔüĠĈēâĔü åĬĕĊŇĕ ¾âĕĆ÷Ĕ÷ĠþĈèġåĆèčĆňĕèãĐèğĊĈĕ¿ĎĄĕąåĊĕĄĊŇĕĐąŇĕèģĆ âĦ ĎĄĕąåĊĕĄùęèâĕĆëňĕĈèãĐèğĊĈĕĐąŇĕèúĘħğĈŇĕģĊňãňĕèøňüüĔħüåĚĐĄĊĈĎüęħèĥéē úĬĕĢĎňğĊĈĕĆĐýøĔĊãĐèĄĔüëňĕĈèġĈâğþŎüĄĊĈãüĕ÷ĢĎîŇĄĔüúĬĕĢĎňğĊĈĕúĘħĐąĜŇ ĆĐýøĔĊëňĕĈèâĕĆëňĕĈèýüúĘħĆĕýéęèĄĕââĊŇĕâĕĆëňĕĈèýüăĜğãĕğāĆĕēúĘħĆĕý ĐąĜŇĢâĈňâĔýġĈâĄĕââĊŇĕ üĔħüåĚĐğĎøěÿĈúĘħğāĚħĐüÿĜňĐąĜŇúĘħĆē÷ĔýüĬĨĕúēğĈéēĠâŇøĔĊ ëňĕâĊŇĕ âĕĆëňĕĈèãĐèğĊĈĕąĔèúĬĕĢĎňčėħèøŇĕèĥĆŇĊèĎĈŇü÷ňĊąĎĕâğĊĈĕğ÷ėüğúŇĕâĔü ĎĄ÷úěâĎüĠĎŇèĢüĐĊâĕċĆēĎĊŇĕè÷ĕĊğåĆĕēĎŋčėħèøŇĕèĥéēģĄŇĎĈŇüĄĔüéēĈĐą ğúňèğøňèĠøŇùňĕğþŎüýüÿėĊġĈâãĐèğĆĕġ÷ąûĆĆĄëĕøėĠĈňĊčėħèøŇĕèĥéēğåĈĚħĐü ğãňĕĎĕúĘħúĘħğĊĈĕğ÷ėüëňĕâĊŇĕ ğĎĄĚĐüğĄĚħĐğĆĕĊėħèéĕâëĕąĎĕ÷ĈèčĜŇúēğĈ ĠĈē ĠĆèøňĕüãĐèüĬĨĕúĘħãĕãĐèğĆĕúĬĕĢĎňċĘĆČēãĐèğĆĕåēĄĬĕğãňĕģþĢüåĈĚħüčėħèøŇĕèĥ ĆŇĊèĎĈŇüĈèĄĕâĦğāĆĕēúĘħğýĚĨĐèĈŇĕèãĐèġĈâüĔĨüğĊĈĕğ÷ėüëňĕâĊŇĕ øŇĐĢĎňğĆĕčĔèğâøğĎĦüģĄŇģ÷ňèŇĕąĥ ĠøŇâĆēüĔĨü âĕĆëňĕĈèãĐèğĊĈĕâĦĄĘÿĈ
čĬĕåĔîĄĕâ čėħèøŇĕèĥ ĆŇĊèĎĈŇüĈèĄĕğāĆĕēğĎøěüĘĨ ĄĔüąĔèúĬĕĢĎňğĆĕąĚüĐąĜŇýü āĚĨüģ÷ň÷ňĊą ğĎøěúĘħğĆĕğ÷ėüĐąĜŇýüúĕèğúňĕģ÷ňğþŎüğāĆĕēĊŇĕġ÷ąûĆĆĄëĕøėĠĈňĊ ĆŇĕèâĕąãĐèğĆĕéēġüňĄğãňĕĎĕúĘħúĘħğĊĈĕğ÷ėüëňĕâĊŇĕğĊĈĕúĘħğúňĕãĐèğĆĕéęèğ÷ėü ëňĕâĊŇĕğĊĈĕúĘħċĘĆČē ĂŌè÷ĜĠþĈâĢëŇģĎĄåĆĔýĄĔüğĎĄĚĐüğĄĚħĐğĀŃĕ÷Ĝ÷ĊèĐĕúėøąŋĈĔýĂŃĕĠčüčĊą åŇĐąĥ ĈĔýĎĕąģþğýĚĨĐèĎĈĔèğĄçĠčüģâĈ ĠĈňĊéĜŇĥ ğĆĕâĦüęâãęĨüģ÷ňĊŇĕģĄŇĢëŇ ÷ĊèĐĕúėøąŋĎĆĐâúĘħğåĈĚħĐüúĘħ ĠøŇğþŎüġĈâøŇĕèĎĕâúĘħĎĄěü ğĆĕéēğĎĦüģ÷ň÷ňĊą ÷ĊèøĕĠĎŇèåĊĕĄåė÷úĘħùĐ÷ĐĐâĄĕĊŇĕġĈâúĔĨèĢýúĘħĄĘøĔĊğĆĕĐąĜŇ÷ňĊąâĬĕĈĔèĎĄěü ùĐąĎĈĔèĎŇĕèĐĐâĄĕéĕâ÷ĊèĐĕúėøąŋğĆĕâĬĕĈĔèğĎĦü÷ňĊą÷ĊèøĕúĘħ¾ýňĕ¿ğĎĄĚĐü ğāĈèåüġèŇýüăĜğãĕ(QQNQPVJG*KNNãĐèāĐĈĠĄĦååĕĆŋúüĘąŋĊŇĕăĕāúĘħ åüýňĕĄĐèğĎĦüüĔĨüýĕèåĆĔĨèģþģâĈâĊŇĕčĕąøĕúĘħğĆĕğåąåěňüĠøŇúĊŇĕāĆŇĕğĈĚĐü ċėĊēāĔüĐèåŋğĆėèĆēýĬĕ ÿĄĎĈèĢĎĈĢüĐēüĔâìėĄĕüğ÷ĐĆŋĄĕüĕüğãĕğþŎüüĔâþĆĔëîĕâĆĘâÿĜňĄĘëĘĊėø ĐąĜŇğĄĚħĐąĘħčėýĎâċøĊĆĆČâŇĐüĠĈēğãňĕĢéĊŇĕġĈâãĐèğĆĕĈŇĐèĈййĜŇĢüĐĊâĕċ ģĄŇģ÷ňĄĘĐēģĆĄĕĆĐèĆĔý ğĆĕĆĜňåĊĕĄåė÷ãĐèĐēüĔâìėĄĕüğ÷ĐĆŋéĕâüĔâğãĘąüåü ĐĚħüĥèĕüğãĘąü÷ĔĨèğ÷ėĄãĐèğãĕğĎĈĚĐĆĐ÷ğāĘąèëėĨüčŇĊüğĈĦâĥëėĨüğ÷ĘąĊ čėħèøŇĕèĥğþĈĘħąüĠþĈèģþğþŎüčėħèĐĚħüâĦğĄĚħĐéĬĕğþŎü ĠøŇĈēĐąŇĕèĎąėýąĚħüåĊĕĄąěøėûĆĆĄĢĎňĠâŇâĔü ġ÷ąğþŎüģþøĕĄĆēğýĘąýãĐèğĊĈĕ ¾ğþŎüģþøĕĄĆēğýĘąýãĐèğĊĈĕ¿ʃɲʏଋʏବʆʏʉୡʃʌʊʆʉʐʏɳʇɿʆüĘħåĚĐĊĈĘ úĘħğâė÷ãęĨüøĔĨèĠøŇĎňĊèãöēčĬĕåĔîĠĆâğĆėħĄãĐèĊėúąĕċĕčøĆŋûĆĆĄëĕøėìęħèąĔèģĄŇĄĘ ĐēģĆğĈąąâğĊňüâĕĆĢëňåĬĕúĘħåĈěĄğåĆĚĐĠĈēĆĜňâĔüğêāĕēâĈěŇĄúĊŇĕåĬĕĊŇĕ¾ĆēğýĘąý ãĐèğĊĈĕ¿âĦğâė÷ãęĨüĄĕĠĈňĊ
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