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    <p>Wolf,</p>
    <p>the original twin "paradox" we are discussing here is meant to go
      on in a space where there is no gravity. If there is gravity it
      will not change a lot but makes the logic unnecessary complicated.
      So let's take the original version.</p>
    <p>If both twins are passing each other, every one will see the
      other one at the same speed. This is a simple consequence of
      symmetry. <br>
    </p>
    <p>But your equation for time (below) is not correct but simplified
      in an unacceptable way. The correct equation is <br>
    </p>
    <p>t' = (t-xv/c<sup>2</sup>)* (1-c<sup>2</sup>/v<sup>2</sup>)<sup>-1/2</sup></p>
    <p>which also accounts for the synchronization problem. <br>
    </p>
    <p>Albrecht<br>
      <br>
    </p>
    <div class="moz-cite-prefix">Am 29.08.2017 um 06:09 schrieb Wolfgang
      Baer:<br>
    </div>
    <blockquote type="cite"
      cite="mid:63539392-dcc0-067c-1f92-ccbc5b086419@nascentinc.com">
      <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
      <p>Graham:</p>
      <p>I do not see any misunderstanding except perhaps a semantic one
        - there is no paradox whether the clock rate is deduced from a
        knowledge of GRT or from well known experiments is not a
        distinction I think worth arguing about. The point is that given
        a broader knoweledge of physics that what Einstein explained in
        hie seminal 1905 paper there is no paradox. I agree. <br>
      </p>
      <p>Albrecht:</p>
      <p>I just cannot grasp how you can say gravity has nothing to do
        with it. If two twins pass each other with a relative velocity
        would not the straight forward application of the Lorenz
        transformations result that both twins conclude the other twin
        is going more slowly than ones own.   This is what Einstein and
        every elementary text on SRT calculates t' = t (1-c<sup>2</sup>/v<sup>2</sup>)<sup>-1/2</sup><br>
      </p>
      <p>I'm not taking about anyting more, no additional understanding
        about clock rates from experiments or GRT,  just the time
        dilation relationship<br>
      </p>
      <pre class="moz-signature" cols="72">Dr. Wolfgang Baer
Research Director
Nascent Systems Inc.
tel/fax 831-659-3120/0432
E-mail <a class="moz-txt-link-abbreviated" href="mailto:wolf@NascentInc.com" moz-do-not-send="true">wolf@NascentInc.com</a></pre>
      <div class="moz-cite-prefix">On 8/27/2017 11:48 AM, Albrecht Giese
        wrote:<br>
      </div>
      <blockquote type="cite"
        cite="mid:f6321326-fb9e-ec43-d479-a1202e8c1bfe@a-giese.de">
        <meta http-equiv="Content-Type" content="text/html;
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        <p>Hi Grahame,</p>
        <p>without going into details of this discussion I only want to
          point to the following fact:</p>
        <p>Whereas you are of course right that the twin situation is
          not a paradox but logically clean, what we all as I think have
          sufficiently discussed here, the following is not correct in
          my view:</p>
        <p>The twin situation has absolutely NOTHING TO DO with gravity.</p>
        <p>Two arguments for this:</p>
        <p>o  The so called twin paradox  is purely Special Relativity.
          Gravity on the other hand, is General Relativity. This is the
          formal point.</p>
        <p>o  From practical numbers it is visible that gravity cannot
          be an explanation. Take the usual example saying that one twin
          stays at home and the other one travels - as seen from the
          twin at home - for twenty years away and then twenty years
          back. From the view of the twin at home, at the other ones
          return 40 years have gone. For the travelling twin only one
          year has gone (This case is theoretically possible if the
          proper speed is taken, about 0.9997c)). Then the travelling
          twin would have saved 39 years of life time. Now look at the
          possible influence of gravity: Assume it takes the travelling
          twin  a year to change his speed from almost c to almost - c ,
          then, even if the speed of proper time would decrease to zero,
          he would have saved only one year. But, in this example, he
          has saved 39 years. How could this work? No one in physics
          assumes that proper time can run inversely. So this is no
          possible explanation.</p>
        <p>How is it explained? I do not want to repeat again and again
          the correct (but a bit lengthy) explanation, but I attempt to
          give a short version: In Einstein's relativity the run of time
          in different frames can  logically not be continuously
          compared, it can only be compared at interaction points where
          two clocks (or whatever) are at the same position. And the
          determination of the situation at such common position has to
          be done by the Lorentz transformation. And this determination
          works, as many times said here, without logical conflicts.</p>
        <p>If you solve this problem using the Lorentzian SRT, then the
          result is the same but the argument is different, more
          physics-related, and also better for the imagination. If
          wanted, I can of course explain it.</p>
        <p>Albrecht<br>
        </p>
        <p><br>
        </p>
        <br>
        <div class="moz-cite-prefix">Am 27.08.2017 um 01:13 schrieb Dr
          Grahame Blackwell:<br>
        </div>
        <blockquote type="cite"
          cite="mid:CCE2F4D7ECF5430E943629241B634443@vincent">
          <meta content="text/html; charset=utf-8"
            http-equiv="content-type">
          <meta name="GENERATOR" content="MSHTML 8.00.6001.23588">
          <div><font size="2" face="Arial" color="#000080">I'm sorry
              Wolf, but it seems that you're still not getting it.</font></div>
          <div> </div>
          <div><font size="2" face="Arial" color="#000080">This
              situation can be explained fully logically WITHOUT either
              twin making any assumptions about SR or GR - simply from
              their own observations and from well-proven experimental
              findings.</font></div>
          <div> </div>
          <div><font size="2" face="Arial" color="#000080">If we label
              the twins A and B, then their situations are effectively
              symmetric* - so we'll consider the scenario from the
              viewpoint of twin A.</font></div>
          <div><font size="2" face="Arial" color="#000080">A considers
              him/herself static, and all motion to be attributable to
              twin B.  So - and this agrees with experimental
              observation of clocks at high speed (in planes and in GPS
              satellites) - twin A will observe twin B's clock running
              slow, if A's own clock is not upset by any effect. 
              HOWEVER, since A is actually travelling in circular
              motion, (s)he will experience a centripetal force;
              assuming him/herself to be static, this will necessarily
              be attributed to gravitational effects - and it's well
              known from experiment (Pound-Rebka and successors) that
              gravitational fields cause time dilation - so A will
              expect their own clock to be running more slowly also due
              to that 'gravitational' effect (note that this is not any
              assumption of SR or GR, simply inference from proven
              experimental results) [and so also A's observation of B's
              clock, measured against A's own clock, will not fit the
              standard SR time-dilation model, for reasons that A will
              fully comprehend].  For A, the cumulative time-dilation
              for B's perceived relative speed and for A's own perceived
              'gravitational' effect exactly balance - so A will fully
              expect both clocks to coincide when the twins meet again
              (as B will also).</font></div>
          <div> </div>
          <div><font size="2" face="Arial" color="#000080">No paradox.</font></div>
          <div> </div>
          <div><font size="2" face="Arial" color="#000080">* It needs to
              be said that further study of causation of 'relativistic
              time dilation' leads to the understanding that this is an
              objective effect due to travelling at speed relative to
              the unique objectively-static universal reference frame. 
              So if the centre of the circle traced out by A and B is
              itself in motion relative to that reference frame then it
              cannot be assumed that A's and B's motions will be
              symmetric; in that case their clocks may well not
              be precisely synchronised on their meeting again.  This is
              an observation relating to physical reality, which in no
              way contradicts the self-consistency of SR (or GR) as a
              mathematical system.</font></div>
          <div> </div>
          <div><font size="2" face="Arial" color="#000080">Best regards,</font></div>
          <div><font size="2" face="Arial" color="#000080">Grahame</font></div>
          <div> </div>
          <div><font size="2" face="Arial" color="#000080">=======</font></div>
          <blockquote style="BORDER-LEFT: #000080 2px solid;
            PADDING-LEFT: 5px; PADDING-RIGHT: 0px; MARGIN-LEFT: 5px;
            MARGIN-RIGHT: 0px">
            <div style="FONT: 10pt arial">----- Original Message ----- </div>
            <div style="FONT: 10pt arial; BACKGROUND: #e4e4e4;
              font-color: black"><b>From:</b> <a
                title="wolf@nascentinc.com"
                href="mailto:wolf@nascentinc.com" moz-do-not-send="true">Wolfgang
                Baer</a> </div>
            <div style="FONT: 10pt arial"><b>To:</b> <a
                title="general@lists.natureoflightandparticles.org"
                href="mailto:general@lists.natureoflightandparticles.org"
                moz-do-not-send="true">Nature of Light and Particles -
                General Discussion</a> </div>
            <div style="FONT: 10pt arial"><b>Sent:</b> Saturday, August
              26, 2017 3:09 AM</div>
            <div style="FONT: 10pt arial"><b>Subject:</b> [General]
              [NEW] SRT twin Paradox</div>
            <div><br>
            </div>
            Dear John W,  Grahame nd Albrecht:<br>
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              <p class="MsoNormal">I cannot let this request for help go
                unanswered: </p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal">I do not believe we have a any
                fundamental disagreement with the twin paradox. <span
                  style="mso-spacerun: yes"> </span>It never was
                anything more than a semantic problem. If two twins with
                identical and locally synchronized clocks are set on
                equal circular orbits in opposite directions and meet
                again and compare clocks, I believe it is an
                experimental fact that the clocks will run at the same
                rate (neglecting solar gravity if experiments are
                conducted near earth)</p>
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                    <td style="BORDER-BOTTOM: black 0.75pt solid;
                      BORDER-LEFT: black 0.75pt solid; BACKGROUND:
                      white; VERTICAL-ALIGN: top; BORDER-TOP: black
                      0.75pt solid; BORDER-RIGHT: black 0.75pt solid"
                      bgcolor="white" height="36" width="66"><!--[endif]--><!--[if
                      !mso]--><span style="Z-INDEX: 2; POSITION:
                        absolute; mso-ignore: vglayout">
                        <table cellspacing="0" cellpadding="0"
                          width="100%">
                          <tbody>
                            <tr>
                              <td><!--[endif]-->
                                <div style="PADDING-BOTTOM: 4.35pt;
                                  PADDING-LEFT: 7.95pt; PADDING-RIGHT:
                                  7.95pt; PADDING-TOP: 4.35pt"
                                  class="shape" v:shape="_x0000_s1034">
                                  <p class="MsoNormal">Fig 1</p>
                                </div>
                                <!--[if !mso]--></td>
                            </tr>
                          </tbody>
                        </table>
                      </span><!--[endif]--><!--[if !mso &
                      !vml]--> <!--[endif]--><!--[if
                      !vml]--></td>
                  </tr>
                </tbody>
              </table>
              <!--[endif]--><o:p> </o:p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><o:p></o:p></p>
              <br style="mso-ignore: vglayout" clear="all">
              <p class="MsoNormal"><span style="mso-tab-count: 1">           
                </span>The appearance of a twin paradox in my opinion is
                completely due to Einstein’s sloppy writing. In his 1905
                paper, which I looked up, he explicitly stated that a
                clock making a round trip at velocity “v” will slow down
                compared with a stationary observer. The argument that
                both observers applying Einstein’s theory would NOT come
                to this paradoxical conclusion is based on an
                interpretation by a host of well meaning physicists of
                Einstein’s original paper that suggests that each
                observer, knowing relativity would use this knowledge
                analyze the situation as shown in figure 1 above and
                therefore not expect the other clock to slow down. As
                Kracklauer correctly pointed out that there is an
                original SRT that had the twin paradox people justly
                criticized Einstein for it and a slightly revised SRT
                that explains it away is usually not mentioned. I think
                we all understand this and I have no argument with
                Albrecht on this point.</p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal">Now however I insist that the speed
                of light is NOT constant because it depends upon the
                situation the material (observer material) finds itself
                in a gravitational field. As long as the field in that
                material is fairly homogeneous the speed of light in
                that observers material is representative of the speed
                of EM interactions and is constant. And recognizing this
                dependency is critical to making progress in physics by
                eliminating the crazy adjustments to classical physics
                the wrog interpretation of bith SRT and GRT has hoisted
                upon us.</p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal">Now Albrecht correctly states that
                synchrotron experiments show that the speed of light is
                constant and the mass is varying. </p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><!--[if gte vml 1]><v:oval id="_x0000_s1035" style='position:absolute;
 margin-left:61.5pt;margin-top:2.1pt;width:214pt;height:214pt;z-index:3;
 mso-position-horizontal:absolute;mso-position-vertical:absolute'/><v:shape
 id="_x0000_s1036" type="#_x0000_t202" style='position:absolute;margin-left:155.5pt;
 margin-top:-26.9pt;width:25.5pt;height:24pt;z-index:4;
 mso-position-horizontal:absolute;mso-position-vertical:absolute'>
 <v:textbox style='mso-next-textbox:#_x0000_s1036'>
  <![if !mso]>
  <table cellpadding=0 cellspacing=0 width="100%">
   <tr>
    <td><![endif]>
    <div>
    <p class=MsoNormal>m</p>
    </div>
    <![if !mso]></td>
   </tr>
  </table>
  <![endif]></v:textbox>
</v:shape><v:line id="_x0000_s1037" style='position:absolute;z-index:5;
 mso-position-horizontal:absolute;mso-position-vertical:absolute' from="184.5pt,-15.4pt"
 to="235.5pt,-14.9pt" coordsize="21600,21600">
 <v:stroke endarrow="block"/>
</v:line><v:shape id="_x0000_s1038" type="#_x0000_t202" style='position:absolute;
 margin-left:148pt;margin-top:122.7pt;width:40.5pt;height:24.5pt;z-index:6;
 mso-position-horizontal:absolute;mso-position-vertical:absolute' filled="f">
 <v:textbox>
  <![if !mso]>
  <table cellpadding=0 cellspacing=0 width="100%">
   <tr>
    <td><![endif]>
    <div>
    <p class=MsoNormal>Mass</p>
    </div>
    <![if !mso]></td>
   </tr>
  </table>
  <![endif]></v:textbox>
</v:shape><v:oval id="_x0000_s1039" style='position:absolute;margin-left:152.5pt;
 margin-top:79.35pt;width:29pt;height:26pt;z-index:7;mso-position-horizontal:absolute;
 mso-position-vertical:absolute' filled="f"/><v:group id="_x0000_s1041"
 style='position:absolute;margin-left:152.5pt;margin-top:11pt;width:33.5pt;
 height:28.1pt;z-index:9' coordorigin="7340,2020" coordsize="670,562">
 <v:shape id="_x0000_s1042" type="#_x0000_t202" style='position:absolute;
  left:7360;top:2032;width:650;height:550;mso-position-horizontal:absolute;
  mso-position-vertical:absolute' filled="f" stroked="f">
  <v:textbox style='mso-next-textbox:#_x0000_s1042'>
   <![if !mso]>
   <table cellpadding=0 cellspacing=0 width="100%">
    <tr>
     <td><![endif]>
     <div>
     <p class=MsoNormal>ch</p>
     </div>
     <![if !mso]></td>
    </tr>
   </table>
   <![endif]></v:textbox>
 </v:shape><v:oval id="_x0000_s1043" style='position:absolute;left:7340;top:2020;
  width:590;height:500' filled="f"/>
</v:group><v:shape id="_x0000_s1044" type="#_x0000_t202" style='position:absolute;
 margin-left:150.5pt;margin-top:79.75pt;width:31pt;height:24pt;z-index:10;
 mso-position-horizontal:absolute;mso-position-vertical:absolute' filled="f"
 stroked="f">
 <v:textbox>
  <![if !mso]>
  <table cellpadding=0 cellspacing=0 width="100%">
   <tr>
    <td><![endif]>
    <div>
    <p class=MsoNormal>Ch</p>
    </div>
    <![if !mso]></td>
   </tr>
  </table>
  <![endif]></v:textbox>
</v:shape><v:shape id="_x0000_s1045" style='position:absolute;margin-left:152.85pt;
 margin-top:-13pt;width:25.55pt;height:34.5pt;z-index:11;
 mso-position-horizontal:absolute;mso-position-vertical:absolute' coordsize="511,690"
 path="m293,v26,67,53,135,10,180c260,225,,257,33,270v33,13,462,-22,470,-10c511,272,95,325,83,340v-12,15,348,-7,350,10c435,367,93,427,93,440v,13,337,-22,340,-10c436,442,133,493,113,510v-20,17,163,-10,200,20c350,560,341,625,333,690e"
 filled="f">
 <v:path arrowok="t"/>
</v:shape><v:shape id="_x0000_s1046" style='position:absolute;margin-left:151.85pt;
 margin-top:94.7pt;width:25.55pt;height:34.5pt;z-index:12;
 mso-position-horizontal:absolute;mso-position-vertical:absolute' coordsize="511,690"
 path="m293,v26,67,53,135,10,180c260,225,,257,33,270v33,13,462,-22,470,-10c511,272,95,325,83,340v-12,15,348,-7,350,10c435,367,93,427,93,440v,13,337,-22,340,-10c436,442,133,493,113,510v-20,17,163,-10,200,20c350,560,341,625,333,690e"
 filled="f">
 <v:path arrowok="t"/>
</v:shape><v:shape id="_x0000_s1047" type="#_x0000_t202" style='position:absolute;
 margin-left:187.5pt;margin-top:-36pt;width:113pt;height:20pt;z-index:13;
 mso-position-horizontal:absolute;mso-position-vertical:absolute' filled="f"
 stroked="f">
 <v:textbox>
  <![if !mso]>
  <table cellpadding=0 cellspacing=0 width="100%">
   <tr>
    <td><![endif]>
    <div>
    <p class=MsoNormal>~c speed of light</p>
    </div>
    <![if !mso]></td>
   </tr>
  </table>
  <![endif]></v:textbox>
</v:shape><![endif]--><!--[if !vml]--><span style="Z-INDEX: 3;
                  POSITION: relative; WIDTH: 322px; HEIGHT: 339px; TOP:
                  -48px; LEFT: 81px; mso-ignore: vglayout"><img
                    src="cid:part5.20BD4D87.50E788D1@a-giese.de"
                    v:shapes="_x0000_s1035 _x0000_s1036 _x0000_s1037
                    _x0000_s1038 _x0000_s1039 _x0000_s1041 _x0000_s1042
                    _x0000_s1043 _x0000_s1044 _x0000_s1045 _x0000_s1046
                    _x0000_s1047" class="" height="339" width="322"></span><!--[endif]--><o:p> </o:p></p>
              <p class="MsoNormal"><o:p> <br>
                </o:p></p>
              <p class="MsoNormal"><!--[if gte vml 1]><v:shape id="_x0000_s1040" type="#_x0000_t202"
 style='position:absolute;margin-left:140pt;margin-top:4.2pt;width:45pt;
 height:22pt;z-index:8;mso-position-horizontal:absolute;
 mso-position-vertical:absolute'/><![endif]--><!--[if !vml]--><span
                  style="mso-ignore: vglayout"> </span></p>
              <table cellspacing="0" cellpadding="0" align="left">
                <tbody>
                  <tr>
                    <td height="5" width="186"><br>
                    </td>
                  </tr>
                  <tr>
                    <td><br>
                    </td>
                    <td style="BORDER-BOTTOM: black 0.75pt solid;
                      BORDER-LEFT: black 0.75pt solid; BACKGROUND:
                      white; VERTICAL-ALIGN: top; BORDER-TOP: black
                      0.75pt solid; BORDER-RIGHT: black 0.75pt solid"
                      bgcolor="white" height="35" width="66"><!--[endif]--><!--[if
                      !mso]--><span style="Z-INDEX: 8; POSITION:
                        absolute; mso-ignore: vglayout">
                        <table cellspacing="0" cellpadding="0"
                          width="100%">
                          <tbody>
                            <tr>
                              <td><!--[endif]-->
                                <div style="PADDING-BOTTOM: 4.35pt;
                                  PADDING-LEFT: 7.95pt; PADDING-RIGHT:
                                  7.95pt; PADDING-TOP: 4.35pt"
                                  class="shape" v:shape="_x0000_s1040">
                                  <p class="MsoNormal">Fig 2</p>
                                </div>
                                <!--[if !mso]--></td>
                            </tr>
                          </tbody>
                        </table>
                      </span><!--[endif]--><!--[if !mso &
                      !vml]--> <!--[endif]--><!--[if
                      !vml]--></td>
                  </tr>
                </tbody>
              </table>
              <!--[endif]--><o:p> </o:p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><o:p></o:p></p>
              <p class="MsoNormal"><o:p></o:p></p>
              <br style="mso-ignore: vglayout" clear="all">
              <p class="MsoNormal">Now we have the situation of a
                charged particle traveling around a circular orbit. Like
                the Bohr model of the Hydrogen atom, except much faster.
                Now my CAT theory assumes that charge and mass are held
                together by a Force that I have introduced for example
                in the Vigier 9 paper. This means the internal structure
                of the orbiting electron would be expanded and the extra
                energy is stored not in a mass increase but in the
                stretch of the spring metaphorically holding the two
                together.</p>
              <p class="MsoNormal"><span style="mso-tab-count: 1">           
                </span><span style="mso-spacerun: yes"> </span>Interestingly
                enough both particles woul exhibit an internal rotation
                I believe is spin. I think I could duplicate Sommerfelds
                fine structure correction but have not had the time to
                do so and <b>would welcome help</b>.</p>
              <p class="MsoNormal"><br>
              </p>
              <p class="MsoNormal">But I thing I have a new and better
                interpretation od both SRT and GRT - I've been trying to
                get this across to Albrecht and I believe we now have
                tangible analysis problem before us to resolve our
                disagreement<br>
              </p>
              <p class="MsoNormal"><br>
              </p>
              <p class="MsoNormal">So let me steer the conversation to
                this new challenge</p>
              <p class="MsoNormal"><br>
              </p>
              <p class="MsoNormal">Best wishes</p>
              <p class="MsoNormal">Wolf</p>
              <p class="MsoNormal"><br>
              </p>
              <br>
              <pre class="moz-signature" cols="72">Dr. Wolfgang Baer
Research Director
Nascent Systems Inc.
tel/fax 831-659-3120/0432
E-mail <a class="moz-txt-link-abbreviated" href="mailto:wolf@NascentInc.com" moz-do-not-send="true">wolf@NascentInc.com</a></pre>
              <div class="moz-cite-prefix">On 8/25/2017 7:48 AM,
                Albrecht Giese wrote:</div>
              <p>Dear John W and Grahame,</p>
              <p><br>
              </p>
              <p>I think that I should explain a bit about this
                discussion between Wolf and myself. Why this discussion
                is as it is.<br>
              </p>
              <p><br>
              </p>
              <p>I find the topic of Wolf about conciousness very
                interesting and very important. So I have continued with
                this discussion. But, unfortunately in my view, Wolf is
                basing his thoughts on a wrong understanding of
                relativity. The finds that this "incorrect" theory 'SRT'
                is an indication of our human failure to understand
                physics and so of our misleading consciousness. - But
                not SRT is incorrect (as some of you have already and
                repeatedly written) but Wolf's understanding is wrong. -
                I am trying to give Wolf a correct understanding as a
                precondition for a successful development of the issue
                of consciousness. I see that this may be boring for
                those who have understood relativity. But what else can
                we do to get ahead?</p>
              Any ideas?<br>
              <br>
              Albrecht<br>
              <br>
            </div>
            <p> </p>
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