
quantum biatianism

bhautikshastra aanee bhautikshastrachya tattvadnyanat, quantum biatianism haah quantum yantrikichya vyakhyeshi sambandhit drushtikonancha sangrah aahe, jyapaiki sarvat pramukh mhanje cubism (uchchar "cubism") aahe. cubism haah eka assa arth aahe joou abhikartyachya krutee aanee anubhavanna siddhantacha madhyavarti muddah mhanoon gheto. cubism heey tarang phalan ativyapti, quantum mapan aanee guntaguntiche swaroop yabaddal quantum siddhantachya vyakhyetil samanya prashnanshi sambandhit aahe. cubizmanusar, quantum formalismche anek, parantu serve nahee, asey pailu vyaktinishth swarupache aahet. udaharanarth, yaa vyakhyemadhye, quantum sthitee haah vastavacha ghatak nahee-tyaeivaji too mojamapachya sambhavya parinamambaddal ekhadya agentchya vishvasachya anshanche pratinidhitva karato. yaa karanastav, vidnyanachya kahee tattvadnyanni cubismla vastavadavirodhi eka prakar manale aahe. vyakhyeche pravartak yaa varnanashi asahmat aahet, tyaeivaji assa prastav mandatat qee siddhant adhik yogyaritya eka prakarchya vastavadashi sanrekhit hoto jyala teey 'sahbhagi vastavad' mhanatat, jyamadhye vastaviktet konatyahi sambhavya truteey-vyakti vruttadvare tipalya jaau shakanyapeksha 'adhik' asate.
haah arth changlya nirnay ghenyachya pramanatmak jode mhanoon quantum yantrik janm niyam samajoon ghenyasathi sambhavyatechya vyaktiparak biatian khatyacha vapar karoon vegala keela jaato. 2000 chya dashakachya suruvatichya kalat carlton lenya, christopher phuch aanee rudiger scackchya purvichya kamat rujalele cubism swatach pramukhyane phuch aanee scackshey sambandhit aahe aanee alikadech david marminane tyacha sweekar keela aahe. cubism quantum mahitee aanee biasian sambhavyatechya kshetranmadhun ghete aanee quantum siddhantala vedhalelya vyakhyatmak adachani door karnyache uddisht thevate. cubistcha arth lavane heey vividh bhautikshastradnyanchya matanpasoon aitihasikdrushtya vyutpann aahe, jyanna anekada 'copenhagen' arth lavane mhanoon ekatra gatbaddh kele jaate, parantu teey swatah tyanchyapeksha vegale aahe. theodor hansney cubismche vaishishtya tyaa junya drushtikonanna tikshna karane aanee tyanna adhik susangat banavane asey darshavile aahe.
adhik samanyatah, biatian kinwa vaiyaktiktavadicha vapar karnare konatehi kaam (aaa.keey.aaa. "quantum siddhantat disana sambhavyatechya 'vyaktinishth' upcharala kadhikadhi 'quantum biatian' asehi mhanatat. visheshtah cubismla "moolbhut biasian arth lavane" asey sambodhale gele aahe.
quantum siddhantachya vidyaman ganiteey sanrachanecha arth lavnyavyatirikt, kahee cubistsney quantum siddhantachi moolbhut bhautik tattvanpasun "punarrachana" karnyachya sanshodhan karyakramache samarthan kele aahe, jyanche cubist charitra spasht aahe. yaa sanshodhanache antim uddisht mhanje bhautik jagachya ontologyche konate pailu ghatakanna vaparnyasathi quantum siddhantala eka changle sadhan banavtat heey olakhane. tathapi, varnan kelyapramane, cubistcha arth lavane heey konatyahi vishisht punarachanevar avalambun nahee.
itihas aanee vikas.
eae. tii. sankhyikeey bhautikshastrat biasian sambhavyatechya vaparache pravartak, gens yanni ekada suchavale qee quantum siddhant heey "nisargachya kahee vastavanmadhye varnan karnare eka vichitra mishran aahe, kahee pramanat nisargabaddal apoorn manvi mahitee-heey serve heisenberg aanee bohr yanni eka aamletmadhye gundalale aahe jeey konihi kase ughad karayache teey pahile nahee". quantum mahitee siddhant aanee vaiyaktik biasian sambhavyata siddhant yaa sadhanancha vapar karoon heey bhag vegale karnyachya prayatnanmadhun cubism vikasit jhaala.
sambhavyata siddhantache anek arth aahet. sthoolpane sangayache tarr, heey arth teenpaiki eka vargat yetatah jeey sambhavyata haah vastavatil vastunishtha gunadharm aahe (pravrutti shaala) assa dawa karatat, jeey sambhavyata haah mojmap prakriyecha vastunishtha gunadharm aahe assa dawa karatat (varanvarvadi) aanee jeey dawa karatat qee sambhavyata hii eka sandnyanatmak rachana aahe jyacha vapar ekhada pratinidhi tyanchya adnyanache kinwa prastavachya (biasian) vishvasache praman mojanyasathi karoo shakato. quantum siddhantat disana serve sambhavyatekade, agadi quantum siddhantat disana serve sambhavyatekade, nantarchya shreniche sadasya mhanoon sarvat yogya prakare pahile jaate, asey thampane sangnyapasun cubismchi suruvat hote. visheshtah, cubismadhye italian ganitshastradnya bruno dii fineti aanee ingraji tatvadnyani phrank ramsey yanchya dhartivar vaiyaktiktavadi biatian arth lavtat.
cubistschya matey, sambhavyatecha haah drushtikon swikaranyache fayade duppat aahet. pratham, cubistsathi kananchya tarangkaranansarkhya quantum avasthanchi bhoomika sambhavyateche karyakshamatene sanketan karane aahe; mhanoon quantum avastha shevati swatahvareel vishvasache ansh asatat. (jarr konee kiman, mahitipoornadrushtya purn sakaratmak prachalak-moolya mojmap (pii. oo. vhee. emm.) asalele konatehi mojmap vicharat ghetale, tarr heey visheshtah spasht aaheh quantum sthitee ganitiyadrushtya ekach sambhavyatechya vitaranachya samatulya asate, tyaa mojamapachya sambhavya parinamanvaril vitaran.) quantum avasthanchya babatit, vishvasachya anshanpramane, asey soochit karate qee jevha mojmap hote tevha quantum sthitee badalanyachi ghatana-'wave functionche patan'-mhanje keval eka naveen anubhavala pratisad mhanoon tichya vishvasanna adyayavat karnara agent aahe. dusare mhanje, teey suchavate qee quantum yantrikicha vichar sthanik siddhant mhanoon keela jaau shakato, kaaran vastavatil einstein-podolsky-rosson (eae. pii. aar.) nikash nakarla jaau shakato. eae. pii. aar. nikash mhanatoh "jarr, konatyahi prakare ekhadya pranalila tras naan deta, aapan nishchitpane andaj lavu shakato (i.eae., sambhavyatesah ektechya barobarine) bhautik pramanache moolya, tarr tyaa pramanas anuroop vastavikatecha eka ghatak astitvat aahe."quantum yantrikila eka bigger-sthanik siddhant manale pahije, heey yuktivad yaa tattvavar avalambun asatat, parantu eka quibistsathi, teey avaidh aahe, kaaran eka vaiyaktiktavadi biasian serve sambhavyates, agadi ektechya barobarichya serve shakyatanna, vishvasache praman manato. mhanoon, quantum siddhantatil anek vyakhyanni assa nishkarsh kadhala aahe qee quantum yantriki haah eka gair-sthanik siddhant aahe, tarr cubist asey karat naheet.
futuene 'cubism' haah shabd sadar keela aanee 2010 madhye tyachya sadhyachya swarupat vyakhyechi ruparesha aakhali, jyat purvichya kalpananchi susangatata adhik aanee magani kelee gelee, visheshtah 2002 pasoonchya prakashananmadhye. tyanantarchya anek kamanni yaa payacha vistar keela aanee vistar keela, visheshtah futch aanee scackcha 'aadhunik bhautikshastrache punaravalokan' lekh; futch, merman aanee scackcha 'american journal auph physics' lekh; aanee futch aanee stacycha 'enrico fermi summer school' vyakhyan notes.
2010 chya lekhachya aadhi, quantum biasianism haah shabd tyaa ghadamodinche varnan karnyasathi vaparla jaat hota jyamule cubism tyachya sadhyachya swarupat aala aahe. tathapi, varr namood kelyapramane, cubism eka vishisht prakarchya bayesiyanvadachi sadasyata gheto joou quantum siddhantavar biasian tark lagoo karoo shakananya pratyekas suut dett nahee (udaharanarth, khalee pahaa). parinami, fyuchanni pahilya done aksharanmadhye untanchya koshadvare biasian aatmyache jatan karoon, parantu bayesiyanvadapasun adhik vyapakpane door thevun, yaa vyakhyela 'cubism', jyala 'cubism' asey sambodhale jaate, asey sambodhane nivadle. heey navshabdalekhan heey qalaa chalvalitil samshabd asalyane, yamule doghanmadhil sankalpanatmak tulana prerit jhaali aahe aanee picaso aanee griss yanni cubismchya prasarmadhyamanchya kavharejache kalesah chitran kele aahe. tathapi, cubism swatah kyubizamdware prabhavit kinwa prerit navhata aanee cubist qalaa aanee quantum siddhantavaril boharchya matanmadhil sambhavya sambandhanshi tyacha konatahi sambandh nahee.
mukhya padey.
cubizmanusar, quantum siddhant heey eka sadhan aahe jyacha vapar agent tyachya kinwa tichya apeksha vyavasthapit karnyat madat karnyasathi karoo shakato, paramparik bhautik siddhantapeksha sambhavyata siddhantasarkhe. quantum siddhant, cubismcha dawa aahe qee, moolbhootpane nirnay ghenyasathi eka margdarshak aahe joou bhautik vastavachya kahee pailundware aakarla gela aahe. cubismchya tattvanpaiki pramukh khalilpramane aaheth
swagat aanee teeka.
cubist vyakhyevaril pratikriya utsahi teey jordar nakaratmak asha aahet. cubismwar teeka karananya kahincha assa dawa aahe qee teey quantum siddhantatil virodhabhas sodavanyache uddisht purn karnyat ayashasvi tharale aahe. backiagaluppi assa yuktivad karatat qee cubismchya mojamapachya parinamanvaril upcharanmule shevati gair-sthanikatecha muddah sutat nahee aanee jegarla cubismche asey mutt aadhalate qee sambhavyatecha arth lavane heey sankalpasathi anaisargik aanee avishvasaniy asane mahatvache aahe. norsonne cubismwar ekakipanacha aarop keela aahe aanee wallace cubismla vadyavadache udaharan mhanoon olakhato; cubistsney thampane yuktivad keela aahe qee hii vaishishtye gairsamaj aahet aanee cubism haah naa ekakipana aahe aanee naa vadyavad aahe. american journal auph physicsmadhye nauenbergne lihilelya eka gambhir lekhat futch, merman aanee scack yanni uttar dile. kahijan assa dawa karatat qee visangati asoo shakatat; udaharanarth, payya assa yuktivad karatat qee jevha sambhavyatechi nemanook ekachya barobarichi asate, tevha tee quibistschya mhananyanusar vishvasachi degree asoo shakat nahee. pudhe, sambhavyata-eka assignmentchya upcharambaddal dekhil chinta vyakt kartana, timpson suchavatat qee itar vyakhyanchya tulanet cubizammule spashtikaranatmak shakti qamee houu shakate. futch aanee scack yanni nantarchya lekhat yaa chintanche uttar dile. marmanane 2012 chya 'physics tude' lekhat cubismche samarthan kele, jyane lakshaniy charcha suru kelee. marmanchya lekhala pratisad mhanoon udbhavalelya cubismchya aanakhi anek teeka aanee yaa tippanyanna mermanchi uttare, 'physics tude' vachakanchya manchavar aadhalu shakatat. cubismvaril 'stanford encyclopedia auph philosophy' chya nondichya kalam 2 madhye vyakhyevaril aakshepancha saransh aanee kahee uttare dekhil aahet. itar lock adhik samanya tatvik aadharavar cubismla virodh karatat; udaharanarth, mohrof kantian tattvadnyanachya drushtikonatun cubismwar teeka karatat.
kahee lekhakanna cubism antargatpane swa-susangat vatate, parantu teey vyakhyechi sadasyata ghet naheet. udaharanarth, marchildonla cubism asha prakare changlya prakare paribhashit aadhalato qee, tyachyasathi, anek-jagache arth lavane yogya nahee, parantu shevati too bohmian arth lavnyas pradhanya deto. tyachpramane, scloshore aanee claringbold mhanatat qee cubism haah quantum yantrikicha susangat arth aahe, parantu tyala pradhanya dile pahije qee nahee yavar nirnay dett naheet. yavyatirikt, kahijan cubismchya mukhya tattvanshi bahutek sahmat aahet, parantu kadachit serve nahee; barnamchi sthitee, tasech applebychi udaharane aahet.
cubismche lokpriy kinwa ardh-lokpriy madhyam coverage 'nyu scientist', 'scientific american', 'nechar', 'science news', 'fqxi community', 'frankfurter algemine zitung', 'kwanta magazin', 'eoin', 'discover' aanee 'nautilus traimasik' madhye disun aale aahe."2018 madhye, quantum mechanixchya vyakhyevishayi done lokpriy-vidnyan pustake, chenduchi" "vichitratechya palikade" "aanee anantaswamichi" "ekach velee done darvajandware", "cubismsathi vibhag samarpit kelee". yavyatirikt, harvard university presne 2016 madhye yaa vishayachi lokpriy paddhat, "cubismah daad future auph quantum physics" prakashit kelee.
tatvadnyan sahityat sanrachanatmak vastavad aanee ghatanashastrachya drushtikonatun cubismchi dekhil charcha kelee aahe.
itar vyakhyanshi sambandh.
kopanheganache arth.
anek bhautikshastradnyanchi matey (bohr, hessenberg, rosenfeld, wonn vezsekar, peres ii.)) bahutek vela quantum yantrikicha "copenhagen arth" mhanoon ektrit kele jaatat. anek lekhakanni yaa sandnyeche khandan kele aahe, assa dawa keela aahe qee hii aitihasikdrushtya dishabhul karnari aahe aanee bhautikshastradnyanmadhil farak aspasht karate jeey tyanchya samanateitakech mahatvache aahet. cubismadhye anek vaishishtye aahet, jyaa byavachada 'copenhagen arth lavane' mhanoon label kelelya kalpananmadhye samaan aahet, parantu farak mahatvache aahet; udaharanarth, tyancha mell ghalane kinwa cubismla bohr kinwa hessenbergchya drushtikonacha eka kirkol badal mhanoon pahane heey eka lakshaniy chukiche sadarikaran asel.
cubism sambhavyates quantum yantriki vaparat asalelya vaiyaktik agentche vaiyaktik nirnay manato. heey junya copenhagen-prakarchya drushtikonashi virodhabhas aahe, jeey asey manatat qee sambhavyata quantum avasthandvare dilee jaate jee tayari prakriyebaddal vastunishtha tathyandvare nishchit kelee jaatat. cubism mojamapala jagakadoon pratisad midvanyasathi agentne keleli konatihi krutee manato aanee tyaa mojamapacha parinam haah jagacha pratisad tyaa agentver parat aananara anubhav manla jaato. parinami, agentsmadhil sanvad haah ekmev marg aahe jyadvare vegvegale agents tyanchya antargat anubhavanchi tulana karnyacha prayatna karoo shakatat. tathapi, copenhagen vyakhyeche bahutek prakar asey manatat qee prayoganche parinam konalahi pravesh karnyasathi abhikarta-swatantra vastav aahet. cubismcha assa dawa aahe qee jyaa muddyanvar teey mageel copenhagen-prakarchya vyakhyanpeksha vegale aahe, teey anek samikshakanna nantarchya lekhat sapadalelya aspashtateche nirakaran karatat, quantum siddhant bajavat asaleli bhoomika badaloon (jaree cubism adyap vishisht antarnihit ontology pradan karat nasla taree). visheshtah, cubism asey manate qee quantum siddhant heey eka manak sadhan aahe jyacha vapar ekhada pratinidhi vastavavar niyantran thevana yantriki sanchaaivaji adhik changlya prakare navigate karnyasathi karoo shakato.
itar dnyanshastriy arthghatan.
quantum siddhantakade pahanyacha drushtikon, jase qee cubism, jeey quantum avasthanna mahitee, dnyan, vishvas kinwa apeksha yanchi abhivyakti manatat, tyanna "dnyanatmak" arth lavane mhanatat. quantum avasthanna teey jyaa mahitee kinwa apeksha manatat, tasech teey vaparat asalelya ganitachya tantrik vaishishtyanmadhye heey drushtikon ekmekanpeksha bhinn aahet. shivay, yaa prakarchya matanche samarthan karnare serve lekhak quantum avasthanmadhye pratinidhitva kelelya mahitichi kaay chinta aahe yaa prashnache uttar deu karat naheet. speckens khelani model sadar karananya kagadachya shabdatah
jarr quantum sthitee hii dnyanachi sthitee asel aanee tee sthanik aanee gair-sandarbhatmak lapalelya chalanche dnyan nasel, tarr teey kashabaddalache dnyan aahe? yaa prashnache yogya uttar sadhya aamchyakade nahee. tyamule quantum avasthandvare darshavilele dnyan jyaa vastavachya swarupashi sambandhit aahe tyabaddal aapan purnapane adnyeyavadi rahoo. yacha arth assa nahee qee prashna mahattvacha nahee. tyaeivaji, aapan dnyanshastriy drushtikonakade eka apoorn prakalp mhanoon pahato aanee haah prashna too purn karnyasathi madhyavarti adthala mhanoon pahato. tathapi, aamhi assa yuktivad karato qee yaa prashnache uttar nasatanahi, dnyanshastriy drushtikonasathi eka cases tayar kelee jaau shakate. mukhya mhanje heey dnyan kashabaddal aahe yachee parva naan karata apoorn dnyanachya avasthanche vaishishtya asalelya ghatana olakhanyachi aasha karata yete.
leafer aanee speckens yanni quantum sambhavyates biatian sambhavyata mhanoon hatalanyacha eka marg prastavit keela aahe, tyadvare quantum avasthanna dnyanatmak manale aahe, jeey teey mhanatat qee cubismshee "tyachya tatvik prarambhik bindumadhye jawalun sanrekhit aahe". tathapi, tyaa prashnache uttar denanya cubismchya ulat, quantum sthitee mhanje konati bhautik vaishishtye kinwa ghatak mahitee (kinwa vishvas) aahet yabaddal teey jaanunbujun adnyeyavadi rahatat. budbude aanee pitowski yanni suchavalelya aanakhi eka drushtikonatun assa yuktivad keela jaato qee quantum avastha hii ghatana jaganmadhil prastavambaddalchi mahitee aahe jee booliyan nasaleli jaali tayar karate. kahee prasangi, budbude aanee pitovskychya prastavanna "quantum biasianism" asehi mhanatat.
zelinger aanee brookner yanni quantum yantrikicha arth lavnyacha prastav dekhil mandala aahe jyamadhye "mahitee" hii eka moolbhut sankalpana aahe aanee jyamadhye quantum avastha hii dnyanatmak matra aahet. cubismchya ulat, brookner-zillingercha arth lavnyamadhye kahee sambhavyates vastunishthapane nishchit manale jaate. brookner-zillingerchya vyakhyemadhye, serve sambhavya mahitee asalelya kalpanik nirikshakakade asaleli mahitee quantum sthitee darshavate. dusya shabdant sangayache tarr, quantum sthitee tyanchya vyakhyemadhye 'changlya prakare mahitee asalelya' agentshee sambandhit asate, tarr cubismadhye, konatahi 'agent tichya swatachya apeksha encode karnyasathi sthitee tayar karoo shakato. haah farak asoonahi, cabellochya vargikaranat, zelinger aanee brooknerchya prastavanna "sahbhagi vastavad" mhanoon dekhil niyukt kele aahe, jase qee cubism aanee copenhagen-prakarche arthghatan aahet.
1990 chya dashakachya suruvatila baez aanee youseff yanni quantum sambhavyateche biatian kinwa dnyanshastriy arth lavnyacha prastav mandala hota.
wonn newmanchi matey.
aar. eff. wonn newmanchya 'daad mathematical foundation auph quantum mechanics' yaa pathyapustakachya aadhare, streeterne assa yuktivad keela qee 'too pahila quantum biatian wonn neuman hota. quantum avasthanche swaroop aanee sambhavyatecha arth lavnyavishayi tyaa pustakat vyakt keleli matey cubismshee kinwa kharokhar, quantum biasianism mhanoon olakhalya jaananya konatyahi sthitishi susangat naheet assa yuktivad karat, blake stacy asahmat aahe.
relational quantum mechanics.
cubism aanee carlo rovelli aanee itaranni samarthan kelelya relational quantum mechanics (rqm) madhye dekhil tulana kelee gelee aahe. cubism aanee rqm yaa donhimadhye, quantum avastha heey bhautik pranalinche aantarik gunadharm naheet. cubism aanee rqm heey donhi eka nirpeksh, sarvatrik tarangkaryache astitva nakartat. shivay, cubism aanee rqm heey donhi quantum yantriki haah moolbhootpane "sthanik" siddhant aahe assa aagrah dharatat. yavyatirikt, rovelli, anek cubist lekhakanpramanech, quantum payachya vishayat spashtata aananyasathi bhautik tattvanpasun quantum siddhantachi punarrachana karnyache samarthan karatat. (asey karnyasathi cubistche marg rovelipeksha vegale aahet aanee khalee tyanche varnan kele aahe.) yaa done vyakhyanmadhil eka mahattvacha farak mhanje tyanche sambhavyateche tattvadnyanah rqm vaiyaktiktavadi biatianismchi ramsey-dii fineti shaala swikarat nahee. shivay, aar. kyu. emm. mojamapacha parinam haah ekhadya pratinidhicha anubhav asane aavashyak aahe assa aagrah dharat nahee.
quantum bhautikshastrat biasian sambhavyateche itar upayog.
cubism heey quantum bhautikshastratil biasian nishkarshachya itar anuprayoganpasun aanee biasian nishkarshachya quantum anurupanpasun vegale kele pahije. udaharanarth, sanganak vidnyan kshetratil kahinni eka prakarche quantum biatian jaale sadar kele aahe, jyache "vaidyakeey nidan, prakriyanche nirikshan aanee anuvanshiki" madhye upayog asoo shakatat assa tyancha yuktivad aahe. quantum avasthanvaril sambhavyatechi ghanata adyayavat karnyasathi quantum siddhantat biasian nishkarsh dekhil lagoo kele gele aahet aanee maxent paddhati ashach prakare vaparlya gelya aahet. quantum sthitee aanee prakriya tomographisathi biatian paddhati heey sanshodhanache sakriy kshetra aahe.
tantrik vikas aanee quantum siddhantachi punarrachana.
quantum yantrikicha arth aanee sambhavyatecha arth yabaddalachya sankalpanatmak chintanni tantrik karyala chalana dilee aahe. adnyat quantum sthitee' chya kalpanechi biasian samaj pradan karnyasathi lenya, futch aanee scack (swatantrapane stormerdware vegvegalya madhyamancha vapar karoon aadhalalelya parinamachi punaravrutti) yanni sadar kelelya dii fineti prameyachi quantum aavrutti, quantum qee vitaran aanee guntagunt shodh yasarkhya vishayanmadhye anyatra lagoo aadhalali aahe.
quantum yantrikichya anek vyakhyanchya anuyayanna, jyat cubism samavisht aahe, quantum siddhantachi punarrachana karnyasathi prerit kele gele aahe. yaa sanshodhan prayatnanche uddisht heey svayamsiddha kinwa swasiddha siddhantancha eka naveen sanch olakhane heey aahe, jyatoon quantum siddhantachi ganiteey rachana prapt kelee jaau shakate, asha aashet qee asha sudharanansah, nisargatil vaishishtye jyane quantum siddhantala jyaa prakare banavale teey adhik sahajpane olakhale jaau shakate. cubismchya moolbhut tattvanmadhye asha punarrachanechi magani nasali taree, kahee cubist-visheshtah phuch-yanni assa yuktivad keela aahe qee yaa karyacha pathpurava keela pahije.
punarrachanechya prayatnanmadhye eka pramukh vishay mhanje samamiteey, mahitipurn-purn, sakaratmak prachalak-moolya mojmap (ess. aay. see.-poms) mhanoon olakhalya jaanarya ganiteey sanrachanancha sanch. cubist moolbhut sanshodhanane yaa sanrachananmadhye swarasya nirman kele, jyanche aata moolbhut abhyasachya baher quantum siddhantat aanee shuddha ganitat anuprayog aahet.
quantum siddhantachya sarvat vyapakpane shodhalelya cubist sudharananmadhye quantum avasthanche (ektar shuddha kinwa mishra) punarlekhan karnyasathi ess. aay. see.-povemscha vapar 'beuro auph standards' mojamapachya parinamanvar paribhashit sambhavyatecha sanch mhanoon samavisht aahe. mhanjech, jarr ekhadyane ghanata matrixla ess. aay. see.-povam prayogacha parinamanvar sambhavyata vitaran mhanoon vyakt kele, tarr tyaeivaji ess. aay. see.-povam sambhavyatetun ghanata matrixdware soochit kelele serve sankhyikeey andaj punarutpadit kele jaau shakatat. janmatah niyam nantar eka vaidh sambhavyatechya vitaranacha dusyashii sambandh jodanyachi bhoomika gheto, varvar pahata adhik moolbhut asalelya ekhadya goshtipasoon sambhavyata midvanyaivaji. futch, scack aanee itaranni janmaniyamachya yaa punaruktila 'prathamik samikaran' sathee germanmadhun 'imperslatung' asey sambodhale aahe ('yuar-' upsarg pahaa), kaaran quantum siddhantachya tyanchya punarrachanemadhye tyachi madhyavarti bhoomika aahe.
pudhil charcha quantum mahitee siddhantachya ganitashi aanee visheshtah, povemsdware mapan prakriyeche pratirupan yanchyashi kahee parichitata gruheet dharate. jyashi sootra _ 1-aayami hilbert space sambandhit aahe asha quantum pranalicha vichar qaraa. jarr formula _ 2 rank-1 projector formula _ 3 satisfingformula _ 4 chaa sanch astitvat asel, tarr ekhada ess. aay. see.-povam formula _ 5 tayar karoo shakato. eka aniyantrit quantum steet formula _ 6 heey ess. aay. see. projectorformula _ 7 chey resheey sanyojan mhanoon lihile jaau shakate, jethe formula _ 8 heey ess. aay. see. mapan parinam formula _ 9 prapt karnyasathi janmasiddh niyam sambhavyata aahe, jeey steet assignment formula _ 6 dware soochit aahe. aamhi yaa parampareche palan karato qee operatorna anubhav asatana topya asatat (mhanje, mapan parinam) naheet. aata povam sootra _ 11 dware darshavilelya aniyantrit quantum mojamapacha vichar qaraa. yaa quantum mojamapachya parinamansathi formula _ 13, formula _ 12, heey formula _ 12 tayar karoon prapt kelele abhivyakti aahe, jethe formula _ 14 heey steet assignment formula _ 3 dware soochit kelele parinam sootra _ 15 prapt karnyasathi janmajat niyam sambhavyata aahe. formula _ 17 hii sandnya cascade mapan paristhitit sashart sambhavyata mhanoon samajali jaau shakateh kalpana qaraa qee agent done mojmap karanyachi yojana aakhto, pratham eka ess. aay. see. mapan aanee nantar formula _ 18 mapan. ess. aay. see. mojamapacha parinam midalyanantar, dusare mojmap karnyapurvi agent tichya sthitiche niyojan naveen quantum sthitee sootra _ 19 madhye adyayavat karel. jarr tee sthitee adyayavat karnyasathi luders niyam vaparat asel aanee ess. aay. see. mapanatoon parinam sootra _ 9 midvat asel, tarr sootra _ 21. asha prakare ess. aay. see. mapnasathi parinam sootra _ 9 midvanyachya ativar dusya mapnasathi parinam sootra _ 15 midvanyachi sambhavyata sootra _ 17 aahe.
lakshat ghya qee impersalichung sanrachanatmakdrushtya ekoon sambhavyatechya niyamashi khoop samya aahe, jeey abhivyakti sootra aahe _ 25 teey karyatmakpane fakt ess. aay. see. sambhavyata vectorchya pariman-avalambun asalelya sanlagn parivartanadvare bhinn asatat. quantum siddhant haah sambhavyata siddhantasathi anubhavjanya-prerit manak jode aahe asey cubism mhanato, futch aanee itaranna quantum siddhantatil sanrachaneche swaroop sambhavyata siddhantatil ekashi samaan asalyache eka sanket asalyache vatate qee impersalaichungche vaishishtya asalele sudharana heey nisargache gunadharm ughad karnyas madat karoo shakate jyane quantum siddhant itka yashasvi keela.
heey olakhane mahatvache aahe qee twarit vadhanari lus ekoon sambhavyatechya niyamachi jaaga ghet nahee. tyaeivaji, impersalichung aanee ekoon sambhavyatecha niyam vegvegalya paristhitinmadhye lagoo hoto kaaran sootra _ 26 aanee sootra _ 27 vegvegalya paristhitincha sandarbh detat. sootra _ 26 hii sambhavyata aahe qee eka agent tichya done niyojit mojmapanpaiki dusya divashi parinam sootra _ 15 prapt karnyasathi niyukt karato, mhanje, pratham ess. aay. see. mojmap kelyanantar aanee sootra _ 9 paiki eka prapt kelyanantar parinam sootra _ 15 prapt karnyasathi. dusarikade, sootra _ 27 hii, jevha tee pratham ess. aay. see. mojmap karanyachi yojana aakhat nahee, tevha agent nikal sootra _ 15 "midvinyasathi niyukt keleli sambhavyata aahe."ekoon sambhavyatecha niyam haah varnan kelyapramane done mojmap karnyachya karyatmak sandarbhat susangatatecha parinam aahe. yaulat, 'imperstallychung' haah vegvegalya sandarbhanmadhil eka sambandh aahe, jyala tyache samarthan quantum bhautikshastrachya purvanumey yashamadhye milate.
quantum avasthanche ess. aay. see. pratinidhitva dekhil quantum dynamicsche sudharana pradan karate. ess. aay. see. pratinidhitva sutrasah quantum sthitee sootra _ 6 chaa vichar qaraa. yaa sthitichi vel utkranti naveen sthitee sootra _ 37 tayar karnyasathi ekatmak operator sootra _ 36 lagoo karoon aadhalate, jyat ess. aay. see. pratinidhitva aahe.
sootra _ 38
dusari samanata quantum dynamixchya heisenberg chitrat lihili gelee aahe, jyachya sandarbhat quantum pranalichi vel utkranti mool quantum sthitee sootra _ 6 chya firavalelya sick mapan sootra _ 39 shhee sambandhit sambhavyatedvare pakadali jaate. nantar yaa mojamapasathi schroedinger samikaran purnapane twarit pakadale jaateh sootra _ 41 yaa atinmadhye, schroedinger samikaran heey vel nighun jaanyas lagoo kelelya janmajat niyamache eka udaharan aahe; eka agent vegvegalya velee kelelya mahitipurnapane sambhavya mojamapanvar tee kashee jugar khelel heey sanganyasathi tyacha vapar karato.
jyaa cubistsna haah drushtikon aashadayak vatato teey quantum siddhantachya sampoorn punarrachanecha pathpurava karat aahet jyat pramukh pratipadan mhanoon impersalichung darshavile aahe. (shreni siddhantachya sandarbhatahi 'impersalichung' varr charcha karnyat aalee aahe.) yaa drushtikonashi aanee cubismshee sambandhit nasalelya itaranmadhil (kinwa kharokhar konatyahi vishisht vyakhyeshi) tulana futch aanee stacy yanchya pustakachya adhyayat aanee appleby ett all yanchya lekhat aadhalu shakate."2017 paryant, paryayi cubist punarrachaneche prayatna suruvatichya tappyat aahet.