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</o:shapelayout></xml><![endif]--></head><body lang=NL link="#0563C1" vlink="#954F72"><div class=WordSection1><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri",sans-serif;mso-fareast-language:EN-US'>Dear Mr Serret,<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri",sans-serif;mso-fareast-language:EN-US'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri",sans-serif;mso-fareast-language:EN-US'>First the notion of time itself must be cleared. Contemporary physics applies two notions of time: coordinate time and proper time. Coordinate time is our common notion of time, but that choice causes a spacetime structure with a Minkowski signature. This selection must be separated from the fact that nature does not allow speeds faster than the speed of information transfer. That subject is treated by Lorentz transforms. <o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri",sans-serif;mso-fareast-language:EN-US'>So what is it that you want to discuss, the concept of time or the results of Lorentz transforms?<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri",sans-serif;mso-fareast-language:EN-US'>The treatise of the concept of time goes to the foundation of reality. The Lorentz transform is a pure mathematical concept.<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri",sans-serif;mso-fareast-language:EN-US'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:10.5pt;font-family:"Georgia",serif;color:#333333;background:white'>It is possible to create a mathematical model of reality that can be formulated in a few lines.<span class=apple-converted-space> The mathematical model applies a Euclidean signature of the space-progression structure.<o:p></o:p></span></span></p><p class=MsoNormal><span class=apple-converted-space><span lang=EN-US style='font-size:10.5pt;font-family:"Georgia",serif;color:#333333;background:white'>Progression corresponds to the proper time concept.</span></span><span lang=EN-US style='font-size:10.5pt;font-family:"Georgia",serif;color:#333333'><br><br><span style='background:white'>The model starts with its foundation, which is taken to be an orthomodular lattice (the discoverers of this lattice called it “quantum logic”).<span class=apple-converted-space> </span></span><br><span style='background:white'>The set of closed subspaces of a separable Hilbert space forms a realization of this lattice.<span class=apple-converted-space> </span></span><br><br><span style='background:white'>The elements of an orthonormal base of this Hilbert space represent the atoms of the lattice.<span class=apple-converted-space> </span></span><br><br><span style='background:white'>Hilbert spaces can only cope with division rings. These are number systems of which every non-zero element owns a unique inverse. I choose the quaternions as the number system.<span class=apple-converted-space> </span></span><br><br><span style='background:white'>The rational quaternions can be used to enumerate the members of a selected orthonormal base. A special reference operator can be defined that uses the members of the selected orthonormal base as eigenvectors and the enumerators as the corresponding eigenvalues.<span class=apple-converted-space> </span></span><br><br><span style='background:white'>The next step involves the definition of a subspace that is spanned by the eigenvectors that belong to eigenvalues that share the same real part. We interpret this real part as progression and the imaginary part as spatial location.</span><br><br><span style='background:white'>PROGRESSION IS A REAL NUMBER VALUED SCALAR THAT PLAYS THE ROLE OF PHYSICAL TIME.</span><br><br><span style='background:white'>Now let the progression value increase. Consequently, the created subspace scans as a vane over the Hilbert space and divides it in a historic part, a static status quo (the vane), and a future part.<span class=apple-converted-space> </span></span><br><br><span style='background:white'>All discrete objects in universe appear to be modules or modular systems. Elementary modules exist that are not configured from other modules.<span class=apple-converted-space> </span></span><br><br><span style='background:white'>In the model, the elementary modules are represented by one-dimensional subspaces and a special operator provides them with a spatial location. That operator uses a stochastic process to generate the location.<span class=apple-converted-space> </span></span><br><br><span style='background:white'>Thus, the elementary module hops in a hopping path. After a while the landing locations of the hops have formed a (coherent) location swarm. The swarm owns a location density distribution. Both the hopping path and the location swarm represent the elementary module. The location density distribution corresponds to the squared modulus of the wave function of the elementary module.</span><br><br><span style='background:white'>The modules are interpreted as observers. The observers travel with the vane. With these ingredients, the model offers two different views. One is the creator’s view. The other view is the observer’s view.<span class=apple-converted-space> </span></span><br><br><span style='background:white'>The creator can view the model independent of the value of progression.</span><br><span style='background:white'>In the creator’s view the observers follow a zigzag life path that at some instants reflect against the vane, where observers can interpret the incident as a pair creation or as a pair annihilation.</span><br><br><span style='background:white'>This simple model throws a different light on how the universe can be structured. The model is more extensively treated in “The Hilbert Book Test Model”;<span class=apple-converted-space> </span></span></span><a href="https://www.researchgate.net/deref/http%3A%2F%2Fvixra.org%2Fabs%2F1603.0021" target="_blank"><span lang=EN-US style='font-size:10.5pt;font-family:"Georgia",serif;color:#0080FF;background:white;text-decoration:none'>http://vixra.org/abs/1603.0021</span></a><span lang=EN-US style='font-size:10.5pt;font-family:"Georgia",serif;color:#333333'><br><br><span style='background:white'>In order to comprehend the model, you must comprehend lattice theory, Hilbert spaces and number systems.<o:p></o:p></span></span></p><p class=MsoNormal><span lang=EN-US style='font-size:10.5pt;font-family:"Georgia",serif;color:#333333;background:white'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri",sans-serif;mso-fareast-language:EN-US'>Sincerely yours,<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri",sans-serif;mso-fareast-language:EN-US'>Hans van Leunen,<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri",sans-serif;mso-fareast-language:EN-US'>Retired physicist<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri",sans-serif;mso-fareast-language:EN-US'><o:p> </o:p></span></p><div><div style='border:none;border-top:solid #E1E1E1 1.0pt;padding:3.0pt 0cm 0cm 0cm'><p class=MsoNormal><b><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri",sans-serif'>Van:</span></b><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri",sans-serif'> Physics [mailto:physics-bounces@tuks.nl] <b>Namens </b>O. Serret<br><b>Verzonden:</b> zaterdag 22 oktober 2016 10:20<br><b>Aan:</b> physics@tuks.nl<br><b>Onderwerp:</b> [Physics] Arguments for or against the variable time (of Relativity)<o:p></o:p></span></p></div></div><p class=MsoNormal><span lang=EN-US><o:p> </o:p></span></p><div><div><p class=MsoNormal><span style='font-family:"Calibri",sans-serif;color:black'>Would you be interested to discuss the arguments about the variable time of Relativity ?<o:p></o:p></span></p></div></div></div></body></html>