Einstein, Lorentz i Euklid
Scientific Paper | |
---|---|
Title | Einstein, Lorentz i Euklid |
Author(s) | Mustafa Sprecic |
Keywords | Lorentz, Einstein, Euklid, Lorentz-ove transformacije koordinata |
Published | 2013 |
Journal | None |
Abstract
Algebarsku i geometrijsku povezanost Einstein-ovih i Lorentz-ovih velč?ina u STR najlak?e je predoč?iti putem sljedećeg algebarskog iskaza
(f-1) <img border="0" data:image="" png;base64,ivborw0kggoaaaansuheugaaabqaaaaucamaaac6v+0="" aaaaovbmveuaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad="" +8yhyvaaaaenrstlmaagedbaujbwyzcw0uchardghnbteeaaaaheleqvr4xnwrsxjdiqgeex1axd="" l="" q8bkcuuyozsohhxdzls25lsov2ulqdflgeiidu9kqiifilxxpeex2chxwdnknxugxc4dzbnfxjpufkp5h0nwtymq="" dltuiweny9qmxt08egyddz6+dt+9qh9aegenhrofi0fpjmachx6uilh9="" xbsjub3l0a="" 6jaaaaaelftksuqmcc");="" border-image-slice:="" 9="" 9;="" border-image-width:="" 9px="" 9px;="" border-image-repeat:="" stretch="" stretch;="" background-color:="" white;"="" style="border-style: solid; border-width: 1px; border-color: rgb(204, 204, 204) rgb(153, 153, 153) rgb(153, 153, 153) rgb(204, 204, 204); position: relative; height: auto; margin: 10px auto; max-width: 100%; padding: 7px;" src="https://sites.google.com/site/specijalnateorijarelativnosti/_/rsrc/1362950619174/Home/Einstein%20i%20Lorentz%20-%20zajedno.gif" />
Einstein vrijeme u kretanju (crtkano vrijeme t') iskazuje pomoću "izmjerene velič?ine" l0 = ct0
Einstein-ovo vrijeme (t'A) = <img border="0" data:image="" png;base64,ivborw0kggoaaaansuheugaaabqaaaaucamaaac6v+0="" aaaaovbmveuaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad="" +8yhyvaaaaenrstlmaagedbaujbwyzcw0uchardghnbteeaaaaheleqvr4xnwrsxjdiqgeex1axd="" l="" q8bkcuuyozsohhxdzls25lsov2ulqdflgeiidu9kqiifilxxpeex2chxwdnknxugxc4dzbnfxjpufkp5h0nwtymq="" dltuiweny9qmxt08egyddz6+dt+9qh9aegenhrofi0fpjmachx6uilh9="" xbsjub3l0a="" 6jaaaaaelftksuqmcc")="" 9="" 9px="" 9px;="" height:="" auto;="" margin:="" 10px="" max-width:="" 100%;="" padding:="" 8px;="" color:="" rgb(51,="" 51,="" 51);="" text-align:="" justify;="" background-color:="" rgb(243,="" 243,="" 243);="" font-family:="" arial,sans-serif;="" font-size:="" 13px;="" line-height:="" 16px;"="" style="border-width: 9px; border-style: none;" src="http://latex.codecogs.com/gif.latex?t%27=%5Cfrac%7Bt_0%7D%7B%5Csqrt%7B1-%5Cfrac%7Bv%5E%7B2%7D%7D%7Bc%5E%7B2%7D%7D%7D%7D" /> , Lorentzova koordinata za vrijeme (t'L) = <img border="0" data:image="" png;base64,ivborw0kggoaaaansuheugaaabqaaaaucamaaac6v+0="" aaaaovbmveuaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad="" +8yhyvaaaaenrstlmaagedbaujbwyzcw0uchardghnbteeaaaaheleqvr4xnwrsxjdiqgeex1axd="" l="" q8bkcuuyozsohhxdzls25lsov2ulqdflgeiidu9kqiifilxxpeex2chxwdnknxugxc4dzbnfxjpufkp5h0nwtymq="" dltuiweny9qmxt08egyddz6+dt+9qh9aegenhrofi0fpjmachx6uilh9="" xbsjub3l0a="" 6jaaaaaelftksuqmcc")="" 9="" 9px="" 9px;="" height:="" auto;="" margin:="" 10px="" max-width:="" 100%;="" padding:="" 8px;="" color:="" rgb(51,="" 51,="" 51);="" text-align:="" justify;="" background-color:="" rgb(243,="" 243,="" 243);="" font-family:="" arial,sans-serif;="" font-size:="" 13px;="" line-height:="" 16px;"="" style="border-width: 9px; border-style: none;" src="http://latex.codecogs.com/gif.latex?t%27=%5Cfrac%7Bt-%5Cfrac%7Bv%7D%7Bc%5E%7B2%7D%7Dx%7D%7B%5Csqrt%7B1-%5Cfrac%7Bv%5E%7B2%7D%7D%7Bc%5E%7B2%7D%7D%7D%7D" />
dok je Lorencova velič?ina t' = x'/c vezana za vremenski interval t = x/c .
PC = x = ct i PB = x/n = vt . Izraz je korektan za sve skalarne vrijednosti brzina c i v i bilo kojeg međusobnog odnosa c/v = n >1. Dakle, brzina c nije nu?no da bude brzina svjetlosti u vakuumu. Mo?e to biti i bilo koja brzina <img style="font-family: Arial, Verdana, sans-serif; font-size: 13px; background-color: rgb(238, 238, 238);" src="http://fric8.files.wordpress.com/2011/08/brzine-v-i-c.gif?w=115&h=13" /> , bilo kolike skalarne vrijednosti. To nam omogućava neposredniji uvid u geometrijsko i fizičko znač?enje Einstein-ovih i Lorencovih formula na konkretnim sadr?ajima i primjerima dostupnijim neposrednom posmatranju, te tako lak?e uočiti Einsteinove zablude i pogre?na tumačenja fizičkih, algebarskih i geometrijskih istina koje se tim formulama opisuju
<img alt="" style="border: 0px none;" src="https://lh6.googleusercontent.com/-kdhTv0nSXUE/UAcDMwejt2I/AAAAAAAAEQU/lEOZyVDUS6A/s235/Lorenc%2520koordinate%2520x%2520i%2520t.jpg" /> Lorentzovo t' ima značenje <img alt="" style="border: 0px none;" src="https://lh5.googleusercontent.com/-UGPU_GkNY4c/UAcDC56OBeI/AAAAAAAAEPQ/iQJx0mxfotU/s388/26%2529%2520Lorencovo%2520t%2527%2520izvo%25C4%2591enje.jpg" /> .Ukoliko imate veličinu du?ina BN = CT i BC = TN onda veličinu Lorencovog vremenskog intervala t' mo?ete izračunati i n jedn od sljedećih načina: <img border="0" style="border: 9px none; border-image-source: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAMAAAC6V+0/AAAAOVBMVEUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD///+8yHYvAAAAEnRSTlMAAgEDBAUJBwYzCw0UChARDghnBteEAAAAhElEQVR4XnWRSxJDIQgEEx1Axd/L/Q8bKCuuyOzsohHxdZLS25LSOV2ULQdflgEiIDu9KqiIFILXXpeEx2ChXwdnKNxUGxc4dZbNfXjPufkp5H0Nwtymq/dltUIweNy9qmXt08EgydDZ6+dT+9Qh9AeGenhROFI0fPjMaCHx6uIlh9/xBSJuB3l0A/6JAAAAAElFTkSuQmCC); border-image-slice: 9; border-image-width: 9px; border-image-repeat: stretch; position: relative; box-sizing: border-box; display: inline-block; height: auto; margin: 10px auto; max-width: 100%; padding: 8px; -webkit-border-image: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAMAAAC6V+0/AAAAOVBMVEUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD///+8yHYvAAAAEnRSTlMAAgEDBAUJBwYzCw0UChARDghnBteEAAAAhElEQVR4XnWRSxJDIQgEEx1Axd/L/Q8bKCuuyOzsohHxdZLS25LSOV2ULQdflgEiIDu9KqiIFILXXpeEx2ChXwdnKNxUGxc4dZbNfXjPufkp5H0Nwtymq/dltUIweNy9qmXt08EgydDZ6+dT+9Qh9AeGenhROFI0fPjMaCHx6uIlh9/xBSJuB3l0A/6JAAAAAElFTkSuQmCC) 9 fill / 9px stretch;" src="http://latex.codecogs.com/gif.latex?Lorentzt'=\\frac{BN}{c+v}=\\frac{BC}{\\sqrt{c^{2}-v^{2}}}" />
Fizič?ari i matematič?ari nisu dovoljno duboko i temeljito analizirali povezanost i međuzavisnost Lorentz-ovih i Einstein-ovih velič?ina u STR: Jedna od va?nijih istina koju niu uočili "pametni" fizičari i matematičari S. Hawking, ili E.witten naprimjer je i sljedeća algebarska istina i transformacija <img border="0" style="border: 9px none; border-image-source: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAMAAAC6V+0/AAAAOVBMVEUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD///+8yHYvAAAAEnRSTlMAAgEDBAUJBwYzCw0UChARDghnBteEAAAAhElEQVR4XnWRSxJDIQgEEx1Axd/L/Q8bKCuuyOzsohHxdZLS25LSOV2ULQdflgEiIDu9KqiIFILXXpeEx2ChXwdnKNxUGxc4dZbNfXjPufkp5H0Nwtymq/dltUIweNy9qmXt08EgydDZ6+dT+9Qh9AeGenhROFI0fPjMaCHx6uIlh9/xBSJuB3l0A/6JAAAAAElFTkSuQmCC); border-image-slice: 9; border-image-width: 9px; border-image-repeat: stretch; position: relative; box-sizing: border-box; display: inline-block; height: auto; margin: 10px auto; max-width: 100%; padding: 8px; -webkit-border-image: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAMAAAC6V+0/AAAAOVBMVEUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD///+8yHYvAAAAEnRSTlMAAgEDBAUJBwYzCw0UChARDghnBteEAAAAhElEQVR4XnWRSxJDIQgEEx1Axd/L/Q8bKCuuyOzsohHxdZLS25LSOV2ULQdflgEiIDu9KqiIFILXXpeEx2ChXwdnKNxUGxc4dZbNfXjPufkp5H0Nwtymq/dltUIweNy9qmXt08EgydDZ6+dT+9Qh9AeGenhROFI0fPjMaCHx6uIlh9/xBSJuB3l0A/6JAAAAAElFTkSuQmCC) 9 fill / 9px stretch;" src="http://2.bp.blogspot.com/-YCZdf4X0EGM/Ua9yTKn025I/AAAAAAAAGnY/TMCdR1gJCyo/s1600/okomita+relativna+brzina.gif" /> , <img border="0" style="border: 9px none; border-image-source: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAMAAAC6V+0/AAAAOVBMVEUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD///+8yHYvAAAAEnRSTlMAAgEDBAUJBwYzCw0UChARDghnBteEAAAAhElEQVR4XnWRSxJDIQgEEx1Axd/L/Q8bKCuuyOzsohHxdZLS25LSOV2ULQdflgEiIDu9KqiIFILXXpeEx2ChXwdnKNxUGxc4dZbNfXjPufkp5H0Nwtymq/dltUIweNy9qmXt08EgydDZ6+dT+9Qh9AeGenhROFI0fPjMaCHx6uIlh9/xBSJuB3l0A/6JAAAAAElFTkSuQmCC); border-image-slice: 9; border-image-width: 9px; border-image-repeat: stretch; position: relative; box-sizing: border-box; display: inline-block; height: auto; margin: 10px auto; max-width: 100%; padding: 8px; -webkit-border-image: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAMAAAC6V+0/AAAAOVBMVEUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD///+8yHYvAAAAEnRSTlMAAgEDBAUJBwYzCw0UChARDghnBteEAAAAhElEQVR4XnWRSxJDIQgEEx1Axd/L/Q8bKCuuyOzsohHxdZLS25LSOV2ULQdflgEiIDu9KqiIFILXXpeEx2ChXwdnKNxUGxc4dZbNfXjPufkp5H0Nwtymq/dltUIweNy9qmXt08EgydDZ6+dT+9Qh9AeGenhROFI0fPjMaCHx6uIlh9/xBSJuB3l0A/6JAAAAAElFTkSuQmCC) 9 fill / 9px stretch;" src="http://1.bp.blogspot.com/-Ej30goLnEzw/Ua9yoSNDe1I/AAAAAAAAGng/tfp0RYawS_o/s1600/ct+i+okomito+2ct'.gif" /> ,u ovoj prethodnoj jednakosti radi se o Einsteinovom, a ne Lorentzovoj veličini t'.
(f-10)
<img src="https://lh6.googleusercontent.com/-btFDWpARYzU/UUGh1Dj4MEI/AAAAAAAAGP8/5dtIblP8qx0/s511/2l_0%2520puta%2520x%2527%2520-%2520Lorenc.gif" />
Einstein-ove velč?ine slijede tu istu algebarsku i geometrijsku istinu: (f-11) <img border="0" style="border-width: 1px; border-style: solid; border-color: rgb(204, 204, 204) rgb(153, 153, 153) rgb(153, 153, 153) rgb(204, 204, 204); padding: 7px; background-color: rgb(255, 255, 255);" src="http://latex.codecogs.com/gif.latex?%5Cfrac%7B2l_0%7D%7B%5Csqrt%7B1-%5Cfrac%7Bv%5E%7B2%7D%7D%7Bc%5E%7B2%7D%7D%7D%7D=2ct%27=ct%5Ccdot&space;%5Csqrt%7B1-%5Cfrac%7Bv%5E%7B2%7D%7D%7Bc%5E%7B2%7D%7D%7D" /> .
(f-12) <img border="0" style="border-width: 1px; border-style: solid; border-color: rgb(204, 204, 204) rgb(153, 153, 153) rgb(153, 153, 153) rgb(204, 204, 204); padding: 7px; background-color: rgb(255, 255, 255);" src="http://latex.codecogs.com/gif.latex?2ct_0=%7B%5Ccolor%7BMagenta%7D&space;2ct%27%7D%5Ccdot&space;%5Csqrt%7B1-%5Cfrac%7Bv%5E%7B2%7D%7D%7Bc%5E%7B2%7D%7D%7D=ct%5Ccdot&space;(1-%5Cfrac%7Bv%5E%7B2%7D%7D%7Bc%5E%7B2%7D%7D)" />.
Algebra (i aritmetika) su "srce" matematike, a Euklidova geometrija je "du?a" matematike. Bez srca i du?e nema ?ivota ni matematici! Algebarski jezik i jezik geometrije su precizniji i objektivniji u prikazu i opisu fizičke stvarnosti od Einsteinovog govornog jezika!
<img alt="" class="bbc_img" src="https://lh4.googleusercontent.com/-FX984ogvrHk/SorA-1hGiMI/AAAAAAAAAag/1MBACg34vts/s429/sl43loromjeri.gif.jpg" />Jednakost ukazuje na relativne odnose Lorentzovih veličina.