Einstein - Lorentz - elipsa

Scientific Paper
Title	Einstein - Lorentz - elipsa
Author(s)	Mustafa Sprecic
Keywords	Einstein, Lorentz
Published	2013

Abstract

Einstein first formula in the STR and his article published in 1905 not introduce any new physics in the "revolutionary ideas" of space and time - it introduces a completely erroneous understanding and interpretation of physical and geometrical truths described these formulas.

Postoje istine i zablude u Specijalnoj teoriji relativnosti. Ukoliko ih ?elite spoznati onda prvo upoznajte opće istine, zatim moguće i posebne istine, a nakon toga spoznajte Ajn?tajnove prividne istine, polu-istine i neistine. Razdvojite stvarne istine od mogućih istina, op?te od posebnih i pojedinč?nih istina u STR Alberta Einstein-a.

Einstein-ova relativnost u STR jeste eksperimentalno pokaziva, provjeriva i dokaziva na temeljima i zakonitostima klasične fizike i Euklidove geometrije. Einstein-ova razmi?ljanja i tumač?enja tih eksperimentalnih rezultata nisu eksperimentalno provjeriva i dokaziva. Ne postoji ni jedan jedini eksperiment koji potvrđuje dilataciju vremena ili kontrakciju du?ina.

Elipsa je geometrijsko mjesto tač?aka jedne ravni za koje je zbir udaljenosti (r₁ i r₂) od dvije stalne tač?ke F₁ i F₂ ( ?i?ee ili fokusi elipse) stalan (r₁ + r₂ = 2a).

 Elementi elipse:

- Velika osa elipse: 2a = AB = 2ct

- Mala osa elipse: 2b = CD = 2vt

- ?i?nana (fokalna) razdaljina: 2e = F₁F₂

- Koeficijent spljo?tenosti elipse: 

<img border="0" src="http://latex.codecogs.com/gif.latex?k=%5Cfrac%7Bb%7D%7Ba%7D=%5Cfrac%7Bvt%7D%7Bct%7D=cos%5Calpha&space;=sin%5Cbeta&space;=%5Cfrac%7Bv%7D%7Bc%7D=%5Cfrac%7B1%7D%7Bn%7D" />

- Spljo?tenost elipse: 

<img border="0" style="line-height: 16px; font-family: Verdana, Helvetica, Arial, sans-serif; font-size: 13px;" src="http://latex.codecogs.com/gif.latex?%5Calpha&space;=1-k=1-cos%5Calpha&space;=1-%5Cfrac%7Bv%7D%7Bc%7D=1-%5Cfrac%7B1%7D%7Bn%7D" />

- Ekscentri?nost (numeri?ki ekscentricitet = e/a) elipse:

 

<img border="0" style="line-height: 16px; font-family: Verdana, Helvetica, Arial, sans-serif; font-size: 13px;" src="https://sites.google.com/site/specijalnateorijarelativnosti/_/rsrc/1338840118376/relativisticka-algebra---uvod/kretanja-po-elipsi/linearni%20ekscentritet%20elipse.gif" />

, (?² = 1-k²)

- ?i?ni parametar (tetiva kroz ?i?u paralelno sa malom osom elipse): 2p = 2b²/a.  

?i?ni poluparametar elipse - p - po velič?ini jednak je du?ini PA (na sljedećoj slici): Ovaj crte? je crtan za ct/vt = n = 5/3 Na crte?u Lorencova du?ina x' = CL = LN, i vt' = BL = LT.

<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?BC=(c-v)t\\:&space;\\:&space;,BN=t\\sqrt{c^{2}-v^{2}}" />

Iste te du?ine pomoću Lorencovog t'

<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?BN&space;=&space;(c&plus;v)t'_L\\:&space;\\:&space;,\\:&space;\\:&space;BC=t'_L\\cdot&space;\\sqrt{c^{2}-v^{2}}" />

<img border="0" src="https://sites.google.com/site/specijalnateorijarelativnosti/_/rsrc/1337704832147/relativisticka-algebra---uvod/kretanja-po-elipsi/Elipsa%201.gif" />

to je du?ina polutetive elipse koja prolazi kroz ?i?u elipse (paralelno) osi b elipse. Du?ina BN jednaka je polovini ?i?ne razdaljine, tj. BN = F₁F₂ /2 = e = 2ct' (jednako Einstein-ovoj du?ini 2ct' , također jednako Lorentz-ovoj du?ini: (x'+vt')).

<img border="0" src="http://latex.codecogs.com/gif.latex?b=a%5Csqrt%7B1-%5Cvarepsilon&space;%5E%7B2%7D%7D=%5Csqrt%7Ba%5Ccdot&space;p%7D=%5Cfrac%7Bp%7D%7B%5Csqrt%7B1-%5Cvarepsilon&space;%5E%7B2%7D%7D%7D" />

<img border="0" src="https://sites.google.com/site/specijalnateorijarelativnosti/_/rsrc/1331801383141/relativisticka-algebra---uvod/kretanja-po-elipsi/parametar%20p.gif" /> ,

 

<img border="0" src="https://lh4.googleusercontent.com/-6pZ7OVI78i4/T1NBLfQXHRI/AAAAAAAAC3w/V1yttZ5jcOQ/s1600/%25C5%25BEi%25C5%25BEni%2520poluparametar%2520elipse.gif" />

 

 

U sljedećim formulama crtkano vrijeme t' je Einstein-ova velič?ina. Razlika: ct - p = 2l₀ = 2ct₀ .Vrijeme t₀ je upravo ono vrijeme koje Einstein koristi u ovoj formuli (kako sam u ovom postu vi?e koristio Einsteinovo t', nego Lorentzovo t') Imajte to na umu:

<img border="0" src="http://zdykbg.blu.livefilestore.com/y1p6SjPYTyWvfAC0yN07FMRBoKliaYkZFecp-iEQNGS_Nf4rvt8tT7DbABuCrSqdWv-x1NihS-o6POjCYZwSlV849lDFndfI8D-/Ajn%C5%A1tajnova%20formula%20za%20t%20prim.gif?psid=1" />

<img style="border: none; font-family: arial, sans-serif; font-size: 13px; text-align: center; width: 512px; height: 62px;" src="https://lh6.googleusercontent.com/-ZAhDMdMbcfA/UXzMY_1ijoI/AAAAAAAAGYY/nvpR7priAeQ/s512/Einstein-ovo%2520t%2527.gif" />

 

<img border="0" src="http://latex.codecogs.com/gif.latex?PA%5Ccdot&space;AC=%28AT%29%5E%7B2%7D=%282vt%27%29%5E%7B2%7D=vt_v%5Ccdot&space;2l_0" />

 

<img border="0" src="http://latex.codecogs.com/gif.latex?PC%5Ccdot&space;AC=%28BN%29%5E%7B2%7D=%282ct%27%29%5E%7B2%7D=ct%5Ccdot&space;2l_0" />

 

<img border="0" src="http://latex.codecogs.com/gif.latex?PC%5Ccdot&space;PA=%28PT%29%5E%7B2%7D=%28vt%29%5E%7B2%7D=ct%5Ccdot&space;vt_v" />

 

<img border="0" src="https://sites.google.com/site/specijalnateorijarelativnosti/_/rsrc/1342891506523/relativisticka-algebra---uvod/kretanja-po-elipsi/Elipsa%20-%20umno%C5%A1ci%20du%C5%BEina.gif" />

 

U prethodnim formulama imate nekoliko po prvi put napisanih algebarskih iskaza. Nema ih tako ispisanih u ud?benicima i struč?noj literaturi. Nastavite istra?ivanja prema svom znanju i interesovanju. Ukoliko ?elite izračunati veličinu Lorencovog t' onda to mo?ete uraditi i na jedan 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&plus;v}=\\frac{BC}{\\sqrt{c^{2}-v^{2}}}" />

 

<img alt="slika" src="http://latex.codecogs.com/gif.latex?%7B%5Ccolor%7BMagenta%7D%20p%7D%3DPA%3D%5Cfrac%7Bb%7D%7Bn%7D%3D%5Cfrac%7Ba%7D%7Bn%5E%7B2%7D%7D%3Dct-2l_0" />

 

Uo?ite da je:   <img alt="slika" src="http://latex.codecogs.com/gif.latex?ct%5Ccdot%202l_0%3D%28x%27&plus;vt%27%29%5E%7B2%7D" /> , Lorencova velič?ina (x'+vt')   i

također za elipsu:   <img alt="slika" src="http://latex.codecogs.com/gif.latex?ct%5Ccdot%20%7B%5Ccolor%7BMagenta%7D%20p%7D%3Dv%5E%7B2%7Dt%5E%7B2%7D%3Db%5E%7B2%7D%3Da%5Ccdot%20p" /> ,

<img alt="slika" src="http://latex.codecogs.com/gif.latex?a%5E%7B2%7D-b%5E%7B2%7D%3De%5E%7B2%7D" />
 

<img src="http://latex.codecogs.com/gif.latex?%5Cfrac%7Ba%5E%7B2%7D-b%5E%7B2%7D%7D%7Ba%7D%3D%5Cfrac%7Be%5E%7B2%7D%7D%7Ba%7D=2l_0=a-p" />

 

<img alt="slika" src="http://latex.codecogs.com/gif.latex?%7B%5Ccolor%7BMagenta%7D%20p%7D%3D%5Cfrac%7Bv%5E%7B2%7Dt%5E%7B2%7D%7D%7Bct%7D%3Dv%5Ccdot%20%5Cfrac%7Bvt%7D%7Bc%7D%3Dvt_v%3Dv%28t_1-t_2%29%3D%5Cfrac%7B2l_0v%5E%7B2%7D%7D%7Bc%5E%7B2%7D-v%5E%7B2%7D%7D" />

<img alt="" class="bbc_img" src="https://lh4.googleusercontent.com/-vFIe0Khj5O8/T-Vp2Ck-aqI/AAAAAAAADew/A3rXlCgdeSo/s146/20%2529%2520PC%2520je%2520ct.gif" />

PC - PA = AC = 2l₀ = 2ct₀

_{Nastavite vlastitim istra?ivanjima:} http://osnovnipojmovi.blogspot.com/2012/09/jednolko-kruzno-kretanje.html .