further empirical evidence for the universal constant h and the economic work function: analysis of...
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7/31/2019 Further Empirical Evidence for the Universal Constant h and the Economic Work Function: Analysis of Historical Un
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Rkna ; ec =
Cqxtfax Ajrmxmlki Asmda`la cex tfaQ`msax|ki Le`|tk`t f k`d tfa
Ale`ejml ^exg Cq`ltme`K`ki}|m| ec Fm|texmlki Q`ajrie}ja`t dktk
cex Okrk` &;=1
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7/31/2019 Further Empirical Evidence for the Universal Constant h and the Economic Work Function: Analysis of Historical Un
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Rkna 8 ec =
M` k lejrk`me` kxtmlia e` tfa Okrk`a|a q`ajrie}ja`t |mtqktme`) |aa Xac. W3Z m` tfaim`g| nmsa` haie~) mt ~k| |fe~` tfkt k` avtxajai} |txa||cqi k`d q`faki tf} txa`d|aaj| te fksa haa` a|tkhim|fad m` Okrk`) nem`n hklg te ;==6.
Tfa fm|texmlki q`ajrie}ja`t dktk ehtkm`ad cxej tfa Okrk`a|a \tktm|tml| Hqxakq~ah|mta &fttr?%%~~~.|tkt.ne.or%a`nim|f%dktk%xeqdeq%m`dav.ftj) limlg e` fm|texmlkidktk 8- |fe~| tfkt ~fmia tfa rerqiktme` fk| haa` xm|m`n) tfa ikhex cexla v fk| haa`dalxak|m`n |m`la ;==6) |aa Cmnqxa 8 m` Xac. W3Z. Tfm| m| k` q``ktqxki |mtqktme`)q`imga ~fkt ~a cm`d) cex avkjria) m` Lk`kdk &|aa Xac. W1Z-) ~faxa tfa ikhex cexlafk| haa` m`lxak|m`n |takdmi} |m`la ;=>3 ~mtf m`lxak|m`n rerqiktme`.
Tfa dalxak|m`n ikhex cexla mjrima| tfkt jk`} Okrk`a|a ~fe |feqid ha m` tfa ikhexcexla kxa &tee dm|leqxknad k`d jk} ha- avmtm`n tfa ~exg cexla. K dalxak|m`n ikhex
cexla leqriad ~mtf k` m`lxak|m`n q`ajrie}ja`t iasai) k`d a|ralmkii} tfa cklt tfkttfm| txa`d fk| ie`n haa` a|tkhim|fad) jkga| tfa ~feia |mtqktme` k` avtxajai}|txa||cqi e`a k`d lkii| cex QXNA@T kltme` e` tfa rkxt ec hq|m`a|| k`d reimtmlkiiakdax| m` Okrk`. Tfm| rkm`cqi k`d imtaxki lemim`n hklg ec tfa Okrk`a|a ale`ej})e` te mt|aic ) m| miiq|txktad dxkjktmlkii} h} tfa q`ajrie}ja`t dmknxkj m` Cmnqxa ;)~faxa tfa im`a |anja`t| ~mtf kxxe~| m`dmlkta tfa dmxaltme` m` ~fmlf tfa ale`ej}fk| haa` jesm`n |m`la ;==8 te tfa rxa|a`t.
Tfa im`g| te |asaxki xaiktad kxtmlia|) rqhim|fad esax tfa ik|t t~e riq| ~aag|) e` tfaQ\) Kq|txkimk`) k`d Lk`kdmk` ale`ejma| kxa nmsa` haie~.
;. fttr?%%~~~.|lxmhd.lej%del%==34>8;1%Tfa*Q\*Q`ajrie}ja`t*Xkta*^fkt*fkrra`ad*m`*tfa*Ehkjk*}akx| Rqhim|fad Oqi} ;2) 82;8. Ehkjk }akx|.
8. fttr?%%~~~.|lxmhd.lej%del%==61>=6;%Tfa*Fmnfa|t*Q\*Q`ajrie}ja`t*Xkta|*Ehkjk*}akx|*lejrkxad*~mtf*fm|texml*fmnf|*m`*Q`ajrie}ja`t*iasai| Rqhim|fad Oqi} ;8) 82;8. Kii Q\ fm|texmlki dktk &;=4;*82;8-
%K*Cmx|t*Ieeg*kt*Kq|txkimk`*Q`ajrie}ja`t*\tktm|tml|*K*@a~*Jatfedeien}*cex*K`ki}zm`n*Q`ajrie}ja`t*Dktk ) Rqhim|fad Oqi} ;=) 82;8. Xala`t Kq|txkimk` dktk &Ok`82;;*Oq`a 82;8-.
4. fttr?%%~~~.|lxmhd.lej%del%;22>82263%K*\ale`d*Ieeg*kt*Kq|txkimk`*82;8*Q`ajrie}ja`t*Dktk Rqhim|fad Oqi} 88) 82;8.
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7/31/2019 Further Empirical Evidence for the Universal Constant h and the Economic Work Function: Analysis of Historical Un
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7/31/2019 Further Empirical Evidence for the Universal Constant h and the Economic Work Function: Analysis of Historical Un
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Rkna 4 ec =
le`|tk`t f m` tfa ik~ } : fv ' l : f&v v2-) dadqlad akximax h} le`|mdaxm`n tfafm|texmlki Q\ &;=4;*82;;- k`d Lk`kdmk` &;=>3*82;2- q`ajrie}ja`t dktk. Faxa vm| tfa ikhex cexla k`d } tfa `qjhax ec q`ajrie}ad) k`d f k`d l) tfa |iera k`dm`taxlart ec tfa |txkmnft im`a. K| tfa ikhex cexla v m`lxak|a| &esax tfa ie`n taxj) dqa
te tfa `ktqxki m`lxak|a m` tfa rerqiktme`-) tfa `qjhax ec q`ajrie}ad } m| ki|eq|qkii} ceq`d te m`lxak|a. Tfa fm|texmlki dktk cex Okrk`) riettad m` Cmnqxa 8) m| `eavlartme` te tfm| q`msax|ki txa`d.
Tfa `qjaxmlki skiqa| ec f k`d l lk` ha xakdmi} dadqlad h} |qxsa}m`n tfm| v*}q`ajrie}ja`t dmknxkj lkxacqii} k`d ieegm`n cex tfa xaiktme`|fmr hat~aa` tfe|aq`m{qa &v) }- rkmx| tfkt xarxa|a`t |ralmki asa`t| m` tfa fm|tex} ec tfa ale`ej})|qlf k| ielki jkvmjk ex ielki jm`mjk) m.a.) tfa }akx| ~fa` tfa q`ajrie}ja`tiasai ~k| amtfax sax} fmnf ex sax} ie~. K| ~a |aa m` Cmnqxa 8) tfa q`ajrie}ja`tiasai| q|qkii} ciqltqkta k`d gaar nem`n qr ex de~` &~mtf tfa rk||kna ec tmja-~mtf k` m`lxak|m`n ikhex cexla.
Cmnqxa 8? Tfa v*} q`ajrie}ja`t dmknxkj cex Okrk` cex tfa raxmed ;=1
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7/31/2019 Further Empirical Evidence for the Universal Constant h and the Economic Work Function: Analysis of Historical Un
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Rkna 1 ec =
ie~ax iact lex`ax) ~a cm`d tfkt tfa q`ajrie}ja`t iasai| m`lxak|a ~mtf m`lxak|m`nikhex cexla k`d gaar ciqltqktm`n hat~aa` tfa tfxaa rkxkiiai|) ~mtf tfa na`axkia{qktme` } : fv ' l) ~mtf f : 2.2=13. ^a ~mii `e~ dm|lq|| fe~ tfa |mn`mcmlk`la ec tfa `qjaxmlki skiqa ec f k`d fe~ mt ~k| dadqlad. Tfm| m| kltqkii} k` ksaxkna
|iera dadqlad cxej tfa dktk cex tfa tfxaa dasaierad k`d kdsk`lad ale`ejma|?Q\) Lk`kdk) k`d Okrk` . Im`a K) } : 2.2=13v 8.=3 : 2.2=13 &v
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7/31/2019 Further Empirical Evidence for the Universal Constant h and the Economic Work Function: Analysis of Historical Un
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Rkna 3 ec =
Tkhia 8? Cqxtfax Le`cmxjktme` cex tfa Q`msax|ki skiqa ec tfa |iera f cex tfa Q\ k`d Lk`kdmk` ale`ejma|
]akx Ikhexcexla) v
&jmiime`|-
Q`ajrie}ad)} &jmiime`|-
Lfk`nav
Lfk`na}
\iera f
Fmnfa|t Q`ajrie}ja t iasai| xalexdad cex tfa Q\ ale`ej} &;=4;*82;;-
;=4; 11.=; 1.13;=68 ;;2.824 ;2.3>6 14.8=4 1.;8 2.2=4= =.831 2.2=43
Tfa|a t~e |iera| kxa xaiktmsa te ;=4;.\iera hat~aa` ;=68 k`d 82;2) f : 2.2=4= ~fmlf lem`lmda| AVKLTI]
~mtf tfa ksaxkna skiqa ec tfa |iera cex tfa Okrk`a|a dktk.
\iera| dadqlad cex tfa Lk`kdmk` ale`ej}
;=>3 ;2.4=; 2.>44;=66 ;>= ;.32=1 3. Tfa ksaxkna ec tfa|a tfxaa |iera|
cex tfa Lk`kdmk` ale`ej} m| f : 2.2=33
Tfa Q\ dktk rem`t| te k skiqa ec f : 2.2=43 hk|ad e` k` k`ki}|m| ec tfa tfxaa &v) }-rkmx| cex ;=4;) ;=68) k`d 82;2) ~fmlf xarxa|a`t ielki jkvmjk ham`n tfa fmnfa|txalexdad q`ajrie}ja`t iasai|. Tfa|a tfxaa &v) }- rkmx| lk` ha |fe~` te ima e` kRAXCALT |txkmnft im`a) ~mtf tfa |iera| ec tfa im`a |anja`t| ham`n f : 2.2=43*82;2) e` tfa etfax fk`d) xasaki e`i} t~e rem`t| ~fmlfxarxa|a`t ielki jkvmjk. Fa`la) tfa |iera f ec tfa im`a oem`m`n tfa|a t~e jkvmjkjk} ex jk} `et ha |mn`mcmlk`t. &K skiqa ec f : 2.2>8) ie~ax tfk` tfa Q\ skiqa ec f: 2.2=43) m| dadqlad cxej tfa|a t~e rem`t|.- Fe~asax) tfa Lk`kdmk` dktk xasaki|asaxki ielki jm`mjk k| tfa q`ajrie}ja`t iasai gaar ciqltqktm`n qr k`d de~`~mtf tfa |takd} m`lxak|a m` tfa ikhex cexla v k| k cq`ltme` ec tmja) |aa Cmnqxa ; m`
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7/31/2019 Further Empirical Evidence for the Universal Constant h and the Economic Work Function: Analysis of Historical Un
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Rkna > ec =
Xac. W1Z. K |iera f : 2.2=33 lk` ha dadqlad cex tfa Lk`kdmk` q`ajrie}ja`t dktkmc ~a le`|mdax tfa|a ielki jm`mjk.
M` |qjjkx} ) ~a `e~ fksa kllqjqiktad cqxtfax asmda`la cex k |m`nia q`msax|ki
skiqa cex tfa |iera f m` tfa im`akx ik~ } : fv ' l xaiktm`n tfa ikhex cexla v k`d tfaq`ajrie}ja`t iasai }.
Okrk`? \iera f : 2.2=4=Q\K? \iera f : 2.2=43
&~mtf e`a ec tfa tfxaa |iera| cex tfa Q\ ham`n avklti} 2.2=4=-
Lk`kdk? \iera f : 2.2=33
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7/31/2019 Further Empirical Evidence for the Universal Constant h and the Economic Work Function: Analysis of Historical Un
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Rkna 6 ec =
Kheqt tfa kqtfexS. Ikvjk`k`) \l. D.
Tfa kqtfe x ehtkm`ad fm| Hklfaiex| danxaa &H. A.- m` Jalfk`mlki A`nm`aaxm`n cxejtfa Q`msax|mt} ec Ree`k k`d fm| Jk|tax| danxaa &J. A.-) ki|e m` Jalfk`mlki
A`nm`aaxm`n) cxej tfa M`dmk` M`|tmtqta ec \lma`la) Hk`nkiexa) ceiie~ad h} k Jk|tax| &\. J.- k`d Deltexki &\ l. D.- danxaa| m` Jktaxmki| A`nm`aaxm`n cxej tfa Jk||klfq|att| M`|tmtqta ec Talf`eien}) Lkjhxmdna) JK) Q\K. Fa tfa` |ra`t fm|a`tmxa rxeca||me`ki lkxaax kt iakdm`n Q\ xa|akxlf m`|tmtqtme`| &JMT) Kiimad Lfajmlki Lexrexkta X # D) `e~ rkxt ec Fe`a}~aii) @K\K) Lk|a ^a|tax` Xa|axsaQ`msax|mt} &L^XQ-) k`d Na`axki Jetex| Xa|akxlf k`d Dasaierja`t La`tax m`^kxxa`) JM-. Fa feid| ceqx rkta`t| m` jktaxmki| rxela||m`n) fk| le*kqtfexad t~eheeg| k`d rqhim|fad |asaxki |lma`tmcml rkrax| m` iakdm`n raax*xasma~ad m`tax`ktme`ki oeqx`ki|. Fm| avraxtm|a m`liqda| dasaierm`n |mjria jktfajktmlkijedai| te avrikm` tfa hafksmex ec lejriav |}|taj|.
^fmia kt @K\K k`d L^XQ) fa ~k| xa|re`|mhia cex dasaierm`n jktaxmki rxela||m`navraxmja`t| te ha raxcexjad khekxd tfa |rkla |fqttia k`d dasaierad k |mjriajktfajktmlki jedai te avrikm` tfa nxe~tf Lfxm|tjk|*txaa) ex |`e~cikga) imga
|txqltqxa| &lkiiad da`dxmta|- ~mdai} eh|axsad m` jk`} t}ra| ec im{qmd*te*|eimd rfk|atxk`|cexjktme`| &a.n.) cxaazm`n ec kii lejjaxlmki jatki| k`d kiie}|) cxaazm`n ec ~ktax) k`d) }a|) rxedqltme` ec |`e~cikga|+-. Tfm| iad te k |mjria jedai te avrikm`tfa nxe~tf ec da`dxmtml |txqltqxa| m` hetf tfa nxeq`d*hk|ad avraxmja`t| k`d m` tfa|rkla |fqttia avraxmja`t|.
Jexa xala`ti}) fa fk| haa` m`taxa|tad m` tfa k`ki}|m| ec tfa ikxna seiqja| ec dktk cxej cm`k`lmki k`d ale`ejml |}|taj| k`d fk| dasaierad ~fkt jk} ha lkiiad tfa
[qk`tqj Hq|m`a|| Jedai &[HJ-. Tfm| avta`d| &te cm`k`lmki k`d ale`ejml|}|taj|- tfa jktfajktmlki kxnqja`t| q|ad h} Jkv Rik`lg te dasaier {qk`tqj
rf}|ml| q|m`n tfa k`kien} A`axn} : Je`a}) m.a.) a`axn} m` rf}|ml| m| imga je`a} m`ale`ejml|. Am`|tam` krrimad Rik`lg| mdak| te da|lxmha tfa rfeteaialtxml accalt &h}txaktm`n imnft k| ham`n lejre|ad ec rkxtmlia| lkiiad rfete`|) aklf ~mtf tfa cmvad {qk`tqj ec a`axn} le`lamsad h} Rik`lg-. Tfa jktfajktmlki ik~ dadqlad h}
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7/31/2019 Further Empirical Evidence for the Universal Constant h and the Economic Work Function: Analysis of Historical Un
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Rkna = ec =
Rik`lg) xacaxxad te faxa k| tfa na`axkimzad re~ax*avre`a`tmki ik~) jmnft kltqkii}fksa jk`} krrimlktme`| ckx ha}e`d hiklghed} xkdmktme` |tqdma| ~faxa mt ~k| cmx|t le`lamsad.
Am`|tam`| rfeteaialtxml ik~ m| k |mjria im`akx ik~) k| ~a |aa faxa) k`d ~k|dadqlad cxej Rik`lg| `e` *im`akx ik~ cex da|lxmhm`n hiklghed} xkdmktme`. Mt krrakx| tfkt cm`k`lmki k`d ale`ejml |}|taj| lk` ha jedaiad q|m`n k |mjmikx krrxeklf. Cm`k`la) hq|m`a||) ale`ejml| k`d jk`knaja`t |lma`la| `e~ a||a`tmkii}|aaj te eraxkta imga k|txe`ej} k`d rf}|ml| hacexa tfa kdsa`t ec Gariax k`d
@a~te`.
Lesax rkna ec KmxTxk` 8222 K``qki Xarext