Difference between revisions of "Einstein - Lorentz - bez tajni"

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</div>  </div><span lang="en" id="result_box"><span class="hps">Einstein's</span> <span class="hps atn">"</span><span>voice</span> <span class="hps">acrobatics</span><span>"</span> <span class="hps">distracting</span> <span class="hps">physics</span> <span class="hps">and mathematics</span><span>?</span> <span class="hps">Fire</span> <span class="hps">from</span> <span class="hps">an algebraic</span> <span class="hps">analysis</span> <span class="hps">of this</span> <span class="hps">record</span></span>:<br /><br /><img border="0" src="https://sites.google.com/site/specijalnateorijarelativnosti/_/rsrc/1292407424380/relativisticka-algebra---uvod/vremenski-intervali/t.jpg" />&nbsp;,  <div><br />  </div>  <div>&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<img border="0" src="http://latex.codecogs.com/gif.latex?%5Cfrac%7B2l_0%7D%7B%5Csqrt%7B1-%5Cfrac%7Bv%5E2%7D%7Bc%5E2%7D%7D%7D=2ct%27=ct%5Ccdot&amp;space;%5Csqrt%7B1-%5Cfrac%7Bv%5E2%7D%7Bc%5E2%7D%7D" />&nbsp;.<br /><span lang="en" id="result_box"><span class="hps">In these</span> <span class="hps">records,</span> <span class="hps">algebraic</span> <span class="hps">(formulas</span><span>)</span> <span class="hps">of the geometric</span> <span class="hps atn">description (</span><span>geometric</span> <span class="hps">representation</span><span>)</span> <span class="hps">physical</span> <span class="hps">facilities</span> <span class="hps">(relative</span> <span class="hps">mechanical</span> <span class="hps">movements</span> <span class="hps">of the body</span> <span class="hps">in space</span><span>)</span> <span class="hps">there is no need</span> <span class="hps">to introduce</span> <span class="hps atn">the concepts of "</span><span>time</span> <span class="hps">dilation</span><span>"</span><span>,</span> <span class="hps atn">or "</span><span>length</span> <span class="hps">contraction</span><span>"</span><span>.</span> <span class="hps">These</span> <span class="hps">bills</span> <span class="hps">algebraic</span> <span class="hps">geometric</span> <span class="hps">description</span> <span class="hps">of physical</span> &nbsp;<span class="hps">for all possible</span> <span class="hps atn">0 &lt;&nbsp;</span><span>v</span> <span class="hps atn">&lt;&nbsp;</span><span>c</span> <span class="hps">the speed</span><span>.</span><br /><br /><span class="hps">Einstein</span> <span class="hps">time interval</span> <span class="hps atn">(</span><span>t</span> <span class="hps atn">'</span><span>)</span> <span class="hps">can be</span> <span class="hps">expressed and</span> <span class="hps">the</span> <span class="hps">following</span> <span class="hps">mode of</span><span>?</span><span>'s</span> <span class="hps">(First</span> <span class="hps">equal</span> <span class="hps">to</span> <span class="hps">Einstein</span><span>, and</span> <span class="hps">extensions</span> <span class="hps">are</span> <span class="hps">"my</span> <span class="hps">patent"</span><span>)</span></span><br />    <div style="text-align: left; display: block;">&nbsp;                                                        </div>[https://sites.google.com/site/specijalnateorijarelativnosti/relativisticka-algebra---uvod/vremenski-intervali/ic-6.png?attredirects=0 <img border="0" src="https://sites.google.com/site/specijalnateorijarelativnosti/_/rsrc/1267217013855/relativisticka-algebra---uvod/vremenski-intervali/ic-6.png" />]<br /><span lang="en" id="result_box"><span class="hps">This</span> <span class="hps">algebraic</span><span>,</span> <span class="hps">geometric</span> <span class="hps">and physical</span> <span class="hps">truth</span> <span class="hps">can not</span> <span class="hps">deny</span> <span class="hps">even one</span> <span class="hps">living</span> <span class="hps">mathematician</span> <span class="hps">or</span> <span class="hps">a physicist</span><span>,</span><span>&nbsp;no matter</span> <span class="hps">what kind of</span> <span class="hps">fame</span> <span class="hps">and authority</span> <span class="hps">had</span></span>. <img alt="" class="bbc_img" src="https://sites.google.com/site/relativistickaalgebra/_/rsrc/1336840443826/uvod/lorentzove-transformacije/1.Lorencove%20du%C5%BEine.gif" /> <br />&nbsp;                                                        <div class="jslatex8"><img src="http://latex.codecogs.com/gif.latex?PC%3DPN=Z=c%5Ccdot%20t=c%28t_1%2Bt_2%29=ct%5C%5CPB=PT=X=c%5Ccdot%20t_v=c%28t_1-t_2%29=vt%5C%5CBN=CT=Y=c%5Ccdot%202t%27=c%5Ccdot%20%5Csqrt%7B2t_1%5Ccdot%202t_2%7D=t%5Csqrt%7Bc%5E%7B2%7D-v%5E%7B2%7D%7D" />    </div><br />    <div class="jslatex9"><img src="http://latex.codecogs.com/gif.latex?Z%5E%7B2%7D%3DX%5E%7B2%7D%2BY%5E%7B2%7D" />    </div>    <div class="jslatex9"><br />    </div>    <div class="jslatex9"><span style="font-family: arial, sans-serif;">Postoje istine i zablude u Specijalnoj  teoriji relativnosti. Ukoliko ih ?elite spoznati onda prvo upoznajte  op?e istine, zatim mogu?e i posebne istine, a nakon toga spoznajte  Ajn?tajnove prividne istine, polu-istine i neistine.&nbsp;</span><span style="font-family: arial, sans-serif;">Razdvojite stvarne istine od mogu?ih istina, op?te od posebnih i pojedina?nih istina u STR Alberta Einstein-a.</span><span style="font-family: arial, sans-serif;"><br /><br />Einstein-ova  relativnost u STR jeste eksperimentalno pokaziva, provjeriva i dokaziva  na temeljima i zakonitostima klasi?ne fizike i Euklidove geometrije.  Einstein-ova razmi?ljanja i tuma?enja tih eksperimentalnih rezultata  nisu eksperimentalno provjeriva i dokaziva. Ne postoji ni jedan jedini  eksperiment koji potvr?uje dilataciju vremena ili kontrakciju du?ina.</span>    </div>    <div class="jslatex9"><br />    </div>    <div class="jslatex9">U svemu tome nema nikakve dilatacije vremena ili kontrakcije du?ina. Postoji samo Einsteinovo pogre?no razmi?ljanje i pogre?no tuma?enje algebarskih, geometrijskih i fizi?kih istina.                                                        </div><br />  </div>[[Category:Scientific Paper]]
+
</div>  </div><span lang="en" id="result_box"><span class="hps">Einstein's</span> <span class="hps atn">"</span><span>voice</span> <span class="hps">acrobatics</span><span>"</span> <span class="hps">distracting</span> <span class="hps">physics</span> <span class="hps">and mathematics</span><span>?</span> <span class="hps">Fire</span> <span class="hps">from</span> <span class="hps">an algebraic</span> <span class="hps">analysis</span> <span class="hps">of this</span> <span class="hps">record</span></span>:<br /><br /><img border="0" src="https://sites.google.com/site/specijalnateorijarelativnosti/_/rsrc/1292407424380/relativisticka-algebra---uvod/vremenski-intervali/t.jpg" />&nbsp;,  <div><br />  </div>  <div>&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<img border="0" src="http://latex.codecogs.com/gif.latex?%5Cfrac%7B2l_0%7D%7B%5Csqrt%7B1-%5Cfrac%7Bv%5E2%7D%7Bc%5E2%7D%7D%7D=2ct%27=ct%5Ccdot&amp;space;%5Csqrt%7B1-%5Cfrac%7Bv%5E2%7D%7Bc%5E2%7D%7D" />&nbsp;.<br /><span lang="en" id="result_box"><span class="hps">In these</span> <span class="hps">records,</span> <span class="hps">algebraic</span> <span class="hps">(formulas</span><span>)</span> <span class="hps">of the geometric</span> <span class="hps atn">description (</span><span>geometric</span> <span class="hps">representation</span><span>)</span> <span class="hps">physical</span> <span class="hps">facilities</span> <span class="hps">(relative</span> <span class="hps">mechanical</span> <span class="hps">movements</span> <span class="hps">of the body</span> <span class="hps">in space</span><span>)</span> <span class="hps">there is no need</span> <span class="hps">to introduce</span> <span class="hps atn">the concepts of "</span><span>time</span> <span class="hps">dilation</span><span>"</span><span>,</span> <span class="hps atn">or "</span><span>length</span> <span class="hps">contraction</span><span>"</span><span>.</span> <span class="hps">These</span> <span class="hps">bills</span> <span class="hps">algebraic</span> <span class="hps">geometric</span> <span class="hps">description</span> <span class="hps">of physical</span> &nbsp;<span class="hps">for all possible</span> <span class="hps atn">0 &lt;&nbsp;</span><span>v</span> <span class="hps atn">&lt;&nbsp;</span><span>c</span> <span class="hps">the speed</span><span>.</span><br /><br /><span class="hps">Einstein</span> <span class="hps">time interval</span> <span class="hps atn">(</span><span>t</span> <span class="hps atn">'</span><span>)</span> <span class="hps">can be</span> <span class="hps">expressed and</span> <span class="hps">the</span> <span class="hps">following</span> <span class="hps">mode of</span><span>?</span><span>'s</span> <span class="hps">(First</span> <span class="hps">equal</span> <span class="hps">to</span> <span class="hps">Einstein</span><span>, and</span> <span class="hps">extensions</span> <span class="hps">are</span> <span class="hps">"my</span> <span class="hps">patent"</span><span>)</span></span><br />    <div style="text-align: left; display: block;">&nbsp;                                                        </div>[https://sites.google.com/site/specijalnateorijarelativnosti/relativisticka-algebra---uvod/vremenski-intervali/ic-6.png?attredirects=0 <img border="0" src="https://sites.google.com/site/specijalnateorijarelativnosti/_/rsrc/1267217013855/relativisticka-algebra---uvod/vremenski-intervali/ic-6.png" />]<br /><span lang="en" id="result_box"><span class="hps">This</span> <span class="hps">algebraic</span><span>,</span> <span class="hps">geometric</span> <span class="hps">and physical</span> <span class="hps">truth</span> <span class="hps">can not</span> <span class="hps">deny</span> <span class="hps">even one</span> <span class="hps">living</span> <span class="hps">mathematician</span> <span class="hps">or</span> <span class="hps">a physicist</span><span>,</span><span>&nbsp;no matter</span> <span class="hps">what kind of</span> <span class="hps">fame</span> <span class="hps">and authority</span> <span class="hps">had</span></span>. <img alt="" class="bbc_img" src="https://sites.google.com/site/relativistickaalgebra/_/rsrc/1336840443826/uvod/lorentzove-transformacije/1.Lorencove%20du%C5%BEine.gif" /> <br />&nbsp;                                                        <div class="jslatex8"><img src="http://latex.codecogs.com/gif.latex?PC%3DPN=Z=c%5Ccdot%20t=c%28t_1%2Bt_2%29=ct%5C%5CPB=PT=X=c%5Ccdot%20t_v=c%28t_1-t_2%29=vt%5C%5CBN=CT=Y=c%5Ccdot%202t%27=c%5Ccdot%20%5Csqrt%7B2t_1%5Ccdot%202t_2%7D=t%5Csqrt%7Bc%5E%7B2%7D-v%5E%7B2%7D%7D" />    </div><br />    <div class="jslatex9"><img src="http://latex.codecogs.com/gif.latex?Z%5E%7B2%7D%3DX%5E%7B2%7D%2BY%5E%7B2%7D" />    </div>    <div class="jslatex9"><br />    </div>    <div class="jslatex9"><span style="font-family: arial, sans-serif;">Postoje istine i zablude u Specijalnoj  teoriji relativnosti. Ukoliko ih ?elite spoznati onda prvo upoznajte  op?e istine, zatim mogu?e i posebne istine, a nakon toga spoznajte  Ajn?tajnove prividne istine, polu-istine i neistine.&nbsp;</span><span style="font-family: arial, sans-serif;">Razdvojite stvarne istine od mogu?ih istina, op?te od posebnih i pojedina?nih istina u STR Alberta Einstein-a.</span><span style="font-family: arial, sans-serif;"><br /><br />Einstein-ova  relativnost u STR jeste eksperimentalno pokaziva, provjeriva i dokaziva  na temeljima i zakonitostima klasi?ne fizike i Euklidove geometrije.  Einstein-ova razmi?ljanja i tuma?enja tih eksperimentalnih rezultata  nisu eksperimentalno provjeriva i dokaziva. Ne postoji ni jedan jedini  eksperiment koji potvr?uje dilataciju vremena ili kontrakciju du?ina.</span>    </div>    <div class="jslatex9"><br />    </div>    <div class="jslatex9">U svemu tome nema nikakve dilatacije vremena ili kontrakcije du?ina. Postoji samo Einsteinovo pogre?no razmi?ljanje i pogre?no tuma?enje algebarskih, geometrijskih i fizi?kih istina.                                                        </div><br />  </div>
  
[[Category:Relativity]]
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[[Category:Scientific Paper|einstein - lorentz - bez tajni]]
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[[Category:Relativity|einstein - lorentz - bez tajni]]

Latest revision as of 19:28, 1 January 2017

Scientific Paper
Title Einstein - Lorentz - bez tajni
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.

Albert Einstein has no definition of time. Analiza međuzavisnosti velič?ina je povr??na. Poistovjećuje stvarnu istinu sa nogućom i prividnom istinom u fizič?koj stvarnosti. Nema dilatacije vremena, nema kontrakcije duljina. The following figure is:

Trougao PBN -. 1) klasična fizika i Euklidova geometrija - isto VRIJEME - različite brzine


Trougao PBN -. 2) klasič?na fizika i Euklidova geometrija - ista BRZINA - različ?ita vremena

PC = PN = ct i PB = PT = vt , Einsteinovo 2ct' = BN = CT , 2vt' = AT i 2l0 = 2ct0 = AC.

Albert Einstein:  "Every reference body (coordinate system) has its own special time, a time entry only makes sense then, if the specified reference body to which the statement relates."

The best known and most used Einstein 's formula for the time "moving system" is the speed v
:


Istinski smisao Einsteinovog vremena sistema u kretanju iskazuje  algebarski iskaz: <img src="https://sites.google.com/site/specijalnateorijarelativnosti/_/rsrc/1331217648557/Home/Einsteinov%20kvadrat.gif" /> . Izraz je korektan za sve moguće brzine <img style="font-family: Verdana, Arial, Helvetica, sans-serif; font-size: 9pt;" src="http://1.bp.blogspot.com/-pBBaTjoLHwE/UQtybz2SaNI/AAAAAAAAF24/FitCndO92pY/s115/brzine%2520c%2520i%2520v.gif" /> , bilo kolikih skalarnih vrijednosti i bilo kojeg međusobnog relativnog odnosa c/v  n > 1.  U tumačenju navedene algebarske i geometrijske istine Albert Einstein poistovjećuje stvarnost i moguću stvarnost, istinu i moguću istinu, a u svojim izjavama moguću fizič?ku istinu progla?ava (tretira) kao stvarnu i objektivnu fizič?ku istinu.

<img style="border: none; font-family: arial, sans-serif; line-height: normal; text-align: center; background-color: rgb(255, 255, 255); width: 512px; height: 62px;" src="https://lh6.googleusercontent.com/-ZAhDMdMbcfA/UXzMY_1ijoI/AAAAAAAAGYY/nvpR7priAeQ/s512/Einstein-ovo%2520t%2527.gif" />

U narednoj tabeli centralno mjesto zauzima Einstein-ov vremenski interval 2t'.

Lorencovu vremensku koordinatu t', dobijete dijelenjem  <img style="width: 131px; height: 19px;" src="https://lh4.googleusercontent.com/-q1N1OOs1sHc/T_Aqb3dUexI/AAAAAAAADlA/8n3uaEj6y7E/s131/BN%2520-%2520osnovna.gif" />   sa (c+v). Navedenu istinu mogao sam uo?iti prije nego je to uo?io, na primjer, S. Hawkig, ili E. Witten, samo zbog toga ?to nisam po?tovao ni?im opravdanu i nenau?no utemeljenu Einsteinovu "zabranu" kori?tenja relativne brzine (c + v).Relativna brzina (c +v) je fizi?ka stvarnost, geometrijska i algebarska realnost. Relativnu brzinu (c +v) ne trebamo odbacivati zbog trivijalnog razloga kao ?to je invarijantnost brzine c.
 

Lorentzove vremenske koordinate mogu se i ovako iskazati         <img style="font-family: Verdana, Arial, Helvetica, sans-serif; font-size: 9pt;" src="https://lh4.googleusercontent.com/-ha7jsJ705VA/UL958zMxllI/AAAAAAAAFec/jvN04TZn1xM/s327/Lorenc%2520t%2520i%2520t%2527%2520pomo%25C4%2587u%2520cos.gif" />

 ,<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="https://sites.google.com/site/specijalnateorijarelativnosti/_/rsrc/1361902948802/relativisticka-algebra---uvod/lorencove-transformacije/Lorencova%20koordinata%20t%27.gif" />, <img style="font-size: 9pt; font-family: Tahoma; line-height: 16.75px; background-color: rgb(243, 243, 245);" src="http://latex.codecogs.com/gif.latex?\\frac{ct-vt}{\\sqrt{c^{2}-v^{2}}}%3Dt'=\\frac{t\\sqrt{c^{2}-v^{2}}}{c%2Bv}" />
Navedena algebarska geometrijska i fizi?ka istina direktno obja?njava istine i zablude A. Einstein-a u Specijalnoj teoriji relativnosti. Einstein poistovje?uje istinu i mogu?u istinu Lorentz-ovih veli?ina  <img border="0" style="font-family: arial, sans-serif;" src="http://latex.codecogs.com/gif.latex?t'=%5Cfrac%7B%5Cfrac%7Bct-vt%7D%7Bc%7D%7D%7B%5Csqrt%7B1-%5Cfrac%7Bv%5E%7B2%7D%7D%7Bc%5E%7B2%7D%7D%7D%7D" />,           <img border="0" style="font-family: arial, sans-serif;" src="http://latex.codecogs.com/gif.latex?t=%5Cfrac%7B%5Cfrac%7Bct'&plus;vt'%7D%7Bc%7D%7D%7B%5Csqrt%7B1-%5Cfrac%7Bv%5E%7B2%7D%7D%7Bc%5E%7B2%7D%7D%7D%7D" />.
Relativni odnosi Lorentz-ovih vremenskih intervala imaju sljedeću međuzavisnost <img alt="" style="font-size: 9pt;" class="bbc_img" src="https://lh5.googleusercontent.com/-JZC6KJuh7ZQ/Uas7FJOSZvI/AAAAAAAAGmg/PLeUhzbD990/w462-h44-no/photo.jpg" />

U narednim formulama koristim Einsteinovo t'


 The time intervals:  <img src="https://sites.google.com/site/specijalnateorijarelativnosti/_/rsrc/1316761820905/Home/vremenski%20intervali-poredak.gif" />  are directly proportional to the measured length l0, and inversely proportional to the 

velocity of the same length of time:    <img border="0" src="http://latex.codecogs.com/gif.latex?t_1=%5Cfrac%7Bl_0%7D%7Bc-v%7D%5C:&space;,%5C:&space;t_2=%5Cfrac%7Bl_0%7D%7Bc+v%7D%5C:&space;,%5C:&space;t%27=%5Cfrac%7Bl_0%7D%7B%5Csqrt%7Bc%5E2-v%5E2%7D%7D%5C:&space;,%5C:&space;t_0=%5Cfrac%7Bl_0%7D%7Bc%7D%5C:&space;,%5C:&space;t=%5Cfrac%7B2l_0c%7D%7Bc%5E2-v%5E2%7D" /> .


Einstein time t 'is          <img border="0" src="http://latex.codecogs.com/gif.latex?t%27=%5Csqrt%7Bt_1%5Ccdot&space;t_2%7D=%5Csqrt%7B%5Cfrac%7Bt%5Ccdot&space;t_0%7D%7B2%7D%7D=%5Cfrac%7Bt_0%7D%7B%5Csqrt%7B1-%5Cfrac%7Bv%5E2%7D%7Bc%5E2%7D%7D%7D" />


<img src="http://public.blu.livefilestore.com/y1pbu-15CBnT_2G2ayY_7xQ9bX92TMZeMc4nxm-u0B3vwTZ9GvxSnyt-nPjWBSsMS75RVd2X20OJIZqi82AuJljww/Ajn%C5%A1tajn%20-%20t%20prim.gif?psid=1" />

 

It is essential that we immediately see the relationship between the acceleration a, momentum and energy for the following time 


intervals:  t  i tv           <img border="0" src="http://latex.codecogs.com/gif.latex?t_1-t_2=%7B%5Ccolor%7BRed%7D&space;t_v%7D=%5Cfrac%7B2l_0v%7D%7Bc%5E%7B2%7D-v%5E%7B2%7D%7D=%5Cfrac%7Bvt%7D%7Bc%7D=%5Cfrac%7Bv%7D%7Bc%5E%7B2%7D%7Dx" /> ,                          <img border="0" src="https://sites.google.com/site/specijalnateorijarelativnosti/_/rsrc/1263754902096/relativisticka-algebra---uvod/vremenski-intervali/akceleracija%20i%20impuls%20za%20v%20i%20c.gif" />  

 

Einstein's "voice acrobatics" distracting physics and mathematics? Fire from an algebraic analysis of this record:

<img border="0" src="https://sites.google.com/site/specijalnateorijarelativnosti/_/rsrc/1292407424380/relativisticka-algebra---uvod/vremenski-intervali/t.jpg" /> ,


               <img border="0" src="http://latex.codecogs.com/gif.latex?%5Cfrac%7B2l_0%7D%7B%5Csqrt%7B1-%5Cfrac%7Bv%5E2%7D%7Bc%5E2%7D%7D%7D=2ct%27=ct%5Ccdot&space;%5Csqrt%7B1-%5Cfrac%7Bv%5E2%7D%7Bc%5E2%7D%7D" /> .
In these records, algebraic (formulas) of the geometric description (geometric representation) physical facilities (relative mechanical movements of the body in space) there is no need to introduce the concepts of "time dilation", or "length contraction". These bills algebraic geometric description of physical  for all possible 0 < v c the speed.

Einstein time interval (t ') can be expressed and the following mode of?'s (First equal to Einstein, and extensions are "my patent")

 
<img border="0" src="https://sites.google.com/site/specijalnateorijarelativnosti/_/rsrc/1267217013855/relativisticka-algebra---uvod/vremenski-intervali/ic-6.png" />
This algebraic, geometric and physical truth can not deny even one living mathematician or a physicist, no matter what kind of fame and authority had. <img alt="" class="bbc_img" src="https://sites.google.com/site/relativistickaalgebra/_/rsrc/1336840443826/uvod/lorentzove-transformacije/1.Lorencove%20du%C5%BEine.gif" />
 

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

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

U svemu tome nema nikakve dilatacije vremena ili kontrakcije du?ina. Postoji samo Einsteinovo pogre?no razmi?ljanje i pogre?no tuma?enje algebarskih, geometrijskih i fizi?kih istina.