Einstein - Lorentz - elipsa

Scientific Paper
Title	Einstein - Lorentz - elipsa
Author(s)	Mustafa Sprecic
Keywords	{{{keywords}}}
Published	2013
Journal	None

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 .