lynds, peter- time and classical and quantum mechanics: indeterminacy vs. discontinuity
TRANSCRIPT
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7/30/2019 Lynds, Peter- Time and Classical and Quantum Mechanics: Indeterminacy vs. Discontinuity
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^agf% Kej{{akje Gfk`jbak{% Zvjb~vg Gfk`jbak{% Abnf~fxgabjkq% Na{kib~abva~q% Xfej~asa~q%
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^agf fb~fx{ gfk`jbak{ j{ j gfj{vxf ic ab~fxsje% xfej~asf ~i ~`f keikm kig|ef~abo ~`f gfj{vxfgfb~"
Kibsfx{feq% je~`ivo` a~ a{ ofbfxjeeq bi~ xfjeatfn% ab jeekj{f{ j ~agf sjevf abnakj~f{ jb ab~fxsje ic ~agf%
xj~`fx ~`jb j |xfka{f {~j~ak ab{~jb~ ab ~agf j~ w`ak` ~`f xfej~asf |i{a~aib ic j hinq ab xfej~asf gi~aib ix j
{|fkacak |`q{akje gjoba~vnf wiven ~`fixf~akjeeq hf |xfka{feq nf~fxgabfn" Cix fpjg|ef% ac ~wi {f|jxj~f
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Kib~abva~q wiven hf
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~agf vbnfxeqabo j nqbjgakje |`q{akje |xikf{{" Ac ~`fxf wfxf% ~`f xfej~asf |i{a~aib ic j hinq ab xfej~asf
gi~aib ix j {|fkacak |`q{akje gjoba~vnf% je~`ivo` |xfka{feq nf~fxgabfn j~ {vk` j |xfka{f {~j~ak ab{~jb~%
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xfgjab cxitfb {~j~ak j~ ~`f {jgf |xfka{f {~j~ak ab{~jb~" (Abkanfb~jeeq% ~`f {jgf iv~kigf wiven je{i xf{ve~ ac
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ab`fxfb~ |xi|fx~q ic j nqbjgakje |`q{akje |xikf{{% jbn j{ {vk`% j gfjbabocve (jbn jk~vje |`q{akje!
abnakj~ix ic j ~agf j~ w`ak` ~`f xfej~asf |i{a~aib ic j hinq ab xfej~asf gi~aib ix j kfx~jab |`q{akje
gjoba~vnf a{ |xfka{feq nf~fxgabfn% j{ `j{ `a{~ixakjeeq hffb j{{vgfn" ^`j~ a{% a~ a{ ~`f `vgjb ih{fxsfx
w`i {vhdfk~asfeq |xidfk~{% ag|i{f{ jbn j{{aob{ j |xfka{f ab{~jb~ ab ~agf v|ib j |`q{akje |xikf{{% cix
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hinq ab xfej~asf gi~aib"J{ j bj~vxje kib{fzvfbkf ic ~`a{% ac ~`fxf a{ bi~ j |xfka{f {~j~ak ab{~jb~ ab ~agf vbnfxeqabo j nqbjgakje
|`q{akje |xikf{{% ~`fxf a{ bi |`q{akje |xioxf{{aib ix ceiw ic ~agf% j{ wa~`iv~ j kib~abviv{ jbn
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j{ j cvbnjgfb~je |`q{akje zvjb~a~q% ~`j~ ~agf j{ a~ a{ gfj{vxfn ab |`q{ak{ (xfej~asf ab~fxsje!% jbn j{ {vk`%
gi~aib jbn |`q{akje kib~abva~q jxf abnffn |i{{ahef"
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kfx~jab |`q{akje gjoba~vnf j{ hfabo vbk`jboabocix jb fp~fbnfn ab~fxsje ic ~agf" Hv~ ac ~`a{ a{ {i% `iw
~`fb kiven ~agf a~{fec hf {jan ~i hf cxitfb {~j~ak j~ j |xfka{f ab{~jb~ ac ~i ni {i je{i nfgjbn{ a~ gv{~ hf
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^`fxf a{ {igf~`abo ic j |jxjnip `fxf `iwfsfx" Ac ~`fxf wfxf j |xfka{f {~j~ak ab{~jb~ vbnfxeqabo j
nqbjgakje |`q{akje |xikf{{% fsfxq~`abo% abkevnabo keikm{ jbn wj~k`f{ wiven je{i hf cxitfb {~j~ak jbn
na{kib~abviv{% jbn j{ {vk`% ab~fxsje ab ~agf wiven bi~ hf |i{{ahef fa~`fx" ^`fxf kiven hf bi ab~fxsje ab
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~`f nfcaba~aib w`fb j||eafn ~i ~agf"
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~`f `q|i~`f~akje kj{f hfabo na{kv{{fn |xf{fb~eq% wf kiven {jq4 A~ nif{b/~ gjmf {fb{f ~i {jq ~`j~ fsfxq~`abowiven hf {~j~ak j~ jb ab{~jb~% (wa~` |`q{akje kib~abva~q jbn ab~fxsje ab ~agf bi~ hfabo |i{{ahef!% j{ ~`fxf
wiven hf bi ~agf ab~fxsje cix {vk` jb j{{fx~aib ~i hf xfej~asf ~i% xfcfxfbkfn cxig% ix isfx w`ak` {vk` jb
ab{~jb~ wiven xfgjab ~`f {jgf f~k" `a{ ihdfk~aib a{ sjean" @iwfsfx% j{ a~ j||eaf{ ~i ~`f `q|i~`f~akje kj{f
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{fgjb~akje |xihefg ic ~`f wixn{ ibf fg|eiq{ ~i hf{~ ~xq ~i |v~ jkxi{{ j |iab~ jbn j{ hfabo j kib~xjnak~aib
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absiesfn" Ibf kiven kfx~jabeq je{i j{{fx~ ~`j~ ~`fxf wfxf bi ab~fxsje ab ~agf% jbn {i ac ibf wa{`f{% ~`fxf
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ic ; {|j~aje nagfb{aib{"
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ofbfxje xfej~asa~q"(1!
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haieioakje ix i~`fx! ~`j~ a{ wjx|fn jbn gv~jhef j~ xfej~asa{~ak sfeika~af{ jbn ab ~`f {|j~aje sakaba~q ic
oxjsa~q% bi~ jbq |`q{akje |xioxf{{aib ic ~agf" Abnffn% a~ kiven hf {jan a~ a{ nvf ~i ~`fxf bi~ hfabo j
|`q{akje ab{~jb~ jbn |`q{akje |xioxf{{aib ic ~agf% ~`j~ ~`f kib~abva~q% |xi|joj~aib jbn kib{~jb~ xfej~asf
sfeika~q ic fefk~xigjobf~ak xjnaj~aib% jbn ~`v{% j wjx|abo ic xfej~asf nvxj~aib a{ |i{{ahef ab ~`f cax{~
ab{~jbkf" [vh{fzvfb~eq% ~`a{ kibkev{aib a{ je{i kib{a{~fb~ jbn kig|j~ahef wa~` Gabmiw{ma {|jkf'~agf4
~agf j{ j nagfb{aibje xf|xf{fb~j~aib j||eaf{ ~i ~`f vbasfx{f4 ~`f vbasfx{f a{ bi~ ab ~agf" Eamfwa{f% {|jkf
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kib{kaiv{ |fxkf|~aib{ ic~fb {ffg ~i {voof{~"
;" ^agf jbn Kej{{akje jbn Zvjb~vg Gfk`jbak{4 Abnf~fxgabjkq s{" Na{kib~abva~q
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hinq (gakxi jbn gjkxi{ki|ak! ab xfej~asf gi~aib nif{ bi~ `jsf j |xfka{feq nf~fxgabfn xfej~asf |i{a~aib j~
jbq ~agf% jbn ~`j~ jee |`q{akje gjoba~vnf{ jxf bi~ |xfka{feq nf~fxgabfn j~ jbq ~agf% je~`ivo` wa~` ~`f
|jxjgf~fx jbn hivbnjxq ic ~`fax xf{|fk~asf |i{a~aib jbn gjoba~vnf hfabo nf~fxgabjhef v| ~i ~`f eaga~{ ic
|i{{ahef gfj{vxfgfb~ j{ {~j~fn hq ~`f zvjb~vg `q|i~`f{a{(:!
% hv~ wa~` ~`a{ abnf~fxgabjkq ab |xfka{f sjevf
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