Abstract:
A prespacetime model is formulated for generating energy-momentum-mass relationship, elementary particles and self-referential matrix rules through hierarchical self-referential spin structure in prespacetime. Key to the present model is: (1) generation of at least one primordial phase distinction in prespacetime, (2) formation of energy-momentum-mass relationship from said phase distinction; (3) formation of external and internal objects from said phase distinction; (4) matrixization of said energy-momentum-mass relationship into matrix rules; (5) matrixization of said internal and external objects into the external and internal wave functions of a particle in the dual world, and (6) interaction of said external object and said internal object through said matrix rules. In particular, working models for generating energy-momentum-mass relationship, self-referential matrix rules, elementary particles and composite particles are described as research aids, teaching tools and games. Further, working model for ether (aether) as a body or medium of prespacetime is also described as research aids and teaching tools.

Description:
[0001]    This application is a continuation application of U.S. patent application Ser. No. 12/973,633 filed on Dec. 20, 2010, which claims priority from U.S. provisional application Ser. No. 61/288,333 filed Dec. 20, 2009, which applications are fully incorporated herein by reference. 
     
    
     FIELD OF THE INVENTION 
       [0002]    The invention herein relates to model for generating energy-momentum-mass relationship, self-referential matrix rules, elementary particles and composite particles through self-referential hierarchical spin in prespacetime. In particular, working models for generating energy-momentum-mass relationship, self-referential matrix rules, elementary particles and composite particles are described as research aides, teaching tools and games. Further, working model for ether (aether) as medium of prespacetime is also described as research aids and teaching tools. 
       BACKGROUND OF THE INVENTION 
       [0003]    Many experiments have shown that quantum entanglement is physically real (see Aspect, A., Dalibard, j., &amp; Roger, G. Experimental test of Bell&#39;s inequalities using time-varying analyzers. Phys. Rev. Lett. 49, 1804-1807 (1982)). It is ubiquitous in the microscopic world and manifests itself macroscopically under some circumstances (see Ghosh, S., Rosenbaum, T. F., Aeppli, G. &amp; Coppersmith, S. N. Entangled quantum state of magnetic dipoles. Nature 425, 48-51 (2003)). However, the essence and implications of quantum entanglement are still hotly debated. For example, it is commonly believed that quantum entanglement alone cannot be used to transmit binary or classical information. Further, despite of the fact that all interactions in biological systems at molecular and sub-molecular levels are quantum interactions in nature, it is commonly believed that quantum effects do not play any roles in biological functions such as brain functions due to quantum decoherence (see Tegmark, M. The importance of quantum decoherence in brain processes. Phys. Rev., 61E: 4194 (2000)). 
         [0004]    Yet, I have recently discovered non-local effects of chemical substances on biological systems such as a human brain produced through quantum entanglement (Hu, H. P., &amp; Wu, M. X. Photon induced non-local effect of general anesthetics on the brain. NeuroQuantology 4, 17-31 (2006), Hu, H. P., &amp; Wu, M. X. Non-local effects of chemical substances on the brain produced through quantum entanglement. Progress in Physics v3, 20-26 (2006)). I have also discovered evidence of non-local chemical, thermal and gravitational effects produced through quantum entanglement (Hu, H. P., &amp; Wu, M. X. Evidence of non-local physical, chemical and biological effects supports quantum brain. NeuroQuantology 4, 291-306 (2006); Hu, H. P., &amp; Wu, M. X. Evidence of non-local chemical, thermal and gravitational effects. Progress in Physics v2, 17-21 (2007)). 
         [0005]    My invention and discovery were made against such background. No model has previously been known which can model the generation of energy-momentum-mass relationship, self-referential matrix rules, elementary particles and composite particles through self-referential hierarchical spin structures of prespacetime. Further, No model has previously been known which can model ether (aether) as the medium of prespacetime. 
       SUMMARY OF THE INVENTION 
       [0006]    I have now invented prespacetime model for modeling the generation of energy-momentum-mass relationship, self-referential matrix rules, elementary particles and composite through self-referential hierarchical spin structures of prespacetime. I have now also invented the model of ether (aether) as the medium of prespacetime. 
         [0007]    The subject invention is originated from my research on self-reference, nature of spin, consciousness, brain functions and nature of quantum entanglement. I have theorized that spin is a primordial self-referential process driving quantum mechanics, spacetime dynamics and consciousness (Hu, H. P. &amp; Wu, M. X. Spin as primordial self-referential process driving quantum mechanics, spacetime dynamics and consciousness. NeuroQuantology, 2, 41-49 (2004); also see Cogprints ID2827 (2003)). I have also theorized that spin is a mind-pixel and the nuclear and/or electronic spins inside brain play important roles in certain aspects of brain functions such as perception (Hu, H. P., &amp; Wu, M. X. Spin-mediated consciousness theory. Medical Hypotheses 63, 633-646 (2004); also see arXiv e-print quant-ph/0208068v1 (2002)). 
         [0008]    Further, I have discovered the non-local effects of chemical substances on biological systems such as a human brain produced through quantum entanglement (Hu, H. P., &amp; Wu, M. X. Photon induced non-local effect of general anesthetics on the brain. NeuroQuantology 4, 17-31 (2006), Hu, H. P., &amp; Wu, M. X. Non-local effects of chemical substances on the brain produced through quantum entanglement. Progress in Physics v3, 20-26 (2006)). I have also discovered the evidence of non-local chemical, thermal and gravitational effects produced through quantum entanglement (Hu, H. P., &amp; Wu, M. X. Evidence of non-local physical, chemical and biological effects supports quantum brain. NeuroQuantology 4, 291-306 (2006); Hu, H. P., &amp; Wu, M. X. Evidence of non-local chemical, thermal and gravitational effects. Progress in Physics v2, 17-21 (2007)). 
         [0009]    The subject invention is based on my realization that in the beginning there was prespacetime alone (e 0 =1) materially empty but wants to express itself. So, it began to imagine through primordial self-referential spin. 
         [0010]    1=e i0 =e i0 e i0 =e iL-iL e iM-iM =e iL e iM e −iL e −iM =e −iL e −iM /e −iL e −iM =e iL e iM /e iL e iM  . . . such that it created the self-referential matrix rules, the external object to be observed and internal object as observed, separated them into external world and internal world, caused them to interact through said matrix rules and thus gave birth to the Universe which it has since sustained and made to evolve. 
         [0011]    The prespacetime model employs the following ontological principles among others are: (1) principle of oneness/unity of existence through quantum entanglement in the ether of prespacetime; and (2) principle of hierarchical primordial self-referential spin creating: (a) energy-momentum-mass relationship as transcendental law of one, (b) energy-momentum-mass relationship as determinant of matrix rules, (c) dual-world law of zero of energy, momentum &amp; mass, (d) immanent law of conservation of energy, momentum &amp; mass in external or internal world which may be violated in certain processes. 
         [0012]    The prespacetime model further employs the following mathematical elements &amp; forms among others in order to empower the above ontological principles among others: (1) e, Euler&#39;s number, for (to empower) ether (aether) as foundation/basis/medium of existence (body of prespacetime); (2) i, imaginary number, for (to empower) thoughts and imagination; (3) 0, zero, for (to empower) emptiness/undifferentiated/primordial state; (4) 1, one, for (to empower) oneness/unity of existence; (5)+, −, *, /, = for (to empower) creation, dynamics, balance &amp; conservation; (6) Pythagorean theorem for (to empower) energy-momentum-mass relationship; and (7) M, matrix, for (to empower) the external and internal worlds (the Dual World) and the interaction of external and internal worlds. 
         [0013]    Key to the present model is: (1) generation of at least one primordial phase distinction through imagination i in the prespacetime, (2) formation of energy-momentum-mass relationship from said phase distinction; (3) formation of external and internal objects from said phase distinction; (4) matrixization of said energy-momentum-mass relationship into matrix rules; (5) matrixization of said internal and external objects into the external and internal wave functions of a particle in the dual world, and (6) said interaction of the external and internal wave functions through said matrix rules. 
         [0014]    The prespacetime model provides for interactions of the external and internal worlds through quantum entanglement since I have experimentally demonstrated that gravity is the manifestation of quantum entanglement (Hu, H. P., &amp; Wu, M. X. Evidence of non-local physical, chemical and biological effects supports quantum brain. Neuro-Quantology 4, 291-306 (2006); Hu, H. P., &amp; Wu, M. X. Evidence of non-local chemical, thermal and gravitational effects. Progress in Physics v2, 17-21 (2007)). 
         [0015]    The prespacetime model provides for interactions within the external world through classical and relativistic physical laws with light speed c as the speed limit of the external interactions and influences of the internal world on the external objects in the external world through as gravity macroscopically and quantum effects microscopically. Thus, according to the prespacetime model, the interactions within the external world and/or the internal world are local interactions and conform to special theory of relativity, but the interactions across the dual world are non-local interactions, that is, quantum entanglement or gravity. 
         [0016]    My prespacetime model may be more completely understood by reference to the following detailed description considered in connection with the accompanying drawings. However, it should be understood that the drawings are designed for purposes of illustration only and not as a definition of the limits of the invention. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0017]      FIG. 1  is a schematic view of the generation of two primordial phase distinctions according to the prespacetime model producing two set of external and internal phase distinctions in the prespacetime. 
           [0018]      FIG. 2  is a schematic view of a matrix equation according to the prespacetime model illustrating a relationship among the external object, the internal object and the matrix rule. 
           [0019]      FIG. 3  is another schematic view of the matrix equation according to the prespacetime model illustrating interaction between the external and internal object of an entity/particle through the matrix rule. 
           [0020]      FIG. 4  is a schematic and mathematical view of self-referential hierarchical spin generating energy-momentum-mass relationship and creating, sustaining and making evolving elementary particles according to the prespacetime model. 
           [0021]      FIG. 5  to  FIG. 11  is schematic and mathematical views of metamorphous self-referential spin processes generating different forms of the matrix rule according to the prespacetime model. 
           [0022]      FIG. 12  is schematic and mathematical views of a matrix game for generating different forms of the matrix rule according to the prespacetime model. 
           [0023]      FIG. 13  to  FIG. 21  is schematic and mathematical views of metamorphous self-referential hierarchical spin processes creating, sustaining and making evolving elementary entities or particles according to the prespacetime model. 
           [0024]      FIG. 22  to  FIG. 25  is schematic and mathematical views of the metamorphous self referential hierarchical spin processes creating, sustaining and making evolving composite entities or particles such as a neutron and a hydrogen atom according to the prespacetime model. 
           [0025]      FIG. 26  is schematic and mathematical views of the roles of ether (aether) as medium of prespacetime according the prespacetime model. 
       
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
       [0026]    The detailed description of the prespacetime model is organized into 4 sections. 
       I. Overall Scheme of the Prespacetime Model 
       [0027]      FIG. 1  to  FIG. 4  illustrates an overall scheme of the prespacetime model including: (1) generation of at least one primordial phase distinctions through imagination i in the prespacetime, (2) formation of energy-momentum-mass relationship from said phase distinction; (3) formation of external and internal objects from said phase distinction; (4) matrixization of said energy-momentum-mass relationship into matrix rules; (5) matrixization of said internal and external objects into the external and internal wave functions of a particle in the dual world, and (6) said interaction of the external and internal wave functions through said matrix rules. 
         [0028]    Considering first  FIG. 1 , the prespacetime model includes the generation of a first primordial phase distinction comprised of −L and +L and a second primordial phase distinction comprised of −M and +Min the mind of the prespacetime through the imagination i of the prespacetime above the body of the prespacetime which can also be expressed as 1=e i0 =e i0 e i0 =e −iL+iL e −iM+iM =e −iL e +iL e −iM e +iM =e −iL e −iM /e −iL e −iM . In one particular embodiment, L is an angle ∠Em of a right triangle comprised of energy (E), momentum (|p|) and mass (m), and M=(Et−p·r)/         =p μ x μ /         . 
         [0029]    The primordial phase distinctions are accompanied by formation of energy-momentum-mass relationship from said first phase distinction and formation of external and internal objects from said second phase distinction. 
         [0030]    Considering  FIG. 2  &amp;  FIG. 3 , the prespacetime model includes the external and internal objects, matrix rules, and interactions between the external object and the internal object through said matrix rules. 
         [0031]    Considering  FIG. 4 , expression  210  shows formation of a first energy-momentum-mass relationship through self-referential spin in prespacetime, expression  220  shows formation of a second energy-momentum-mass relationship in presence of an external electrical potential A μ =(φ, A), and expression  230  shows generation of primordial phase distinctions, formation of the matrix rule, formation of external wave function and internal wave function, interaction between said external and internal wave functions through said matrix rules. 
         [0032]    In  FIGS. 1 &amp; 4 , e is Euler number representing prespacetime body (ether or aether), i is imaginary unit representing imagination in prespacetime, ±M is immanent content of imagination i such as space, time, momentum &amp; energy, ±L is immanent law of imagination i, L 1 =e i0 =e −iL+iL =L e L i   −1 =1 is transcendental law of one in prespacetime before matrixization, L e  is external law, L i  is internal law, L M,e  is external matrix law, and L M,e  is internal matrix law, L M  is the self-referential Matrix Law in prespacetime comprised of external and internal matrix laws which governs elementary entities and conserves zero, Ψ e  is external wave function (external object), Ψ i  is internal wave function (internal object) and Ψ is the complete wave function (object/entity in the dual-world as a whole). Prespacetime spins as 1=e i0 =e i0 e i0 =e iL-iL e iM-iM =e iL e iM e −iL e −iM =e −iL e −iM /e −iL e −iM =e iL e iM /e iL e iM  . . . before matrixization. Prespacetime also spins through self-acting and self-referential Matrix Law L M  after matrixization which acts on external object and internal object to cause them to interact with each other as further described below. 
         [0033]    The prespacetime model provides for interactions of the external and internal worlds through quantum entanglement since I have experimentally demonstrated that gravity is the manifestation of quantum entanglement (Hu, H. P., &amp; Wu, M. X. Evidence of non-local physical, chemical and biological effects supports quantum brain. Neuro-Quantology 4, 291-306 (2006); Hu, H. P., &amp; Wu, M. X. Evidence of non-local chemical, thermal and gravitational effects. Progress in Physics v2, 17-21 (2007)). 
       II. Generation of Self-Referential Matrix Rules 
       [0034]    In the prespacetime model, the energy-momentum-mass relationship  301  of  FIG. 5  is created from primordial self-referential spin  210  of  FIG. 4 . For simplicity, c=1 is used in  210  and further c=         =1 will be utilized through out this application.  301  was discovered by Einstein. In the presence of an interacting field of a second entity such as an electromagnetic potential A μ =(φ, A), expression  210  becomes expression  220  and expression  301  becomes expression  302 . 
         [0035]    In the prespacetime model, one form of matrix rule L M  in prespacetime is created from the primordial self-referential spin in expressions  303  &amp;  304  of  FIG. 5  where matrixization step is carried out in such way that Determinant  305  of  FIG. 5  holds in order to satisfy the fundamental relationship  301  in the determinant view. 
         [0036]    After spinization  306 , expression  304  of  FIG. 5  becomes  308  of  FIG. 6  where α=(α 1 , α 2 , α 3 ) and β are Dirac matrices and H=α*p+βm is the Dirac Hamiltonian. Expression  308  governs fermions in Dirac form such as Dirac electron and positron and expression  304  governs the third state of matter (unspinized or spinless entity/particle) with electric charge e and mass m such as a meson or a meson-like particle. 
         [0037]    From definition  309  of  FIG. 6 , a result in  310  of  FIG. 6  is obtained. Thus, fundamental relationship  301  of  FIG. 5  is also satisfied under the determinant view of expression  309 . Indeed, a second result in  311  of  FIG. 6  can also be obtained. 
         [0038]    One kind of metamorphosis of expressions  303 ,  304 ,  308 ,  309 ,  310  is respectively  312 ,  313 ,  314 ,  315 ,  316 . of  FIG. 7 . Expression  313  is the unspinized Matrix Law in Weyl (chiral) form. Expression  314  is spinized Matrix Law in Weyl (chiral) form. 
         [0039]    Another kind of metamorphosis of expressions  303 ,  304 ,  308 ,  309 ,  310  is respectively  317 ,  318 ,  319 ,  320 ,  321  of  FIG. 8 . Indeed,  322  is a quaternion so  319  can be written as  313 . 
         [0040]    If m=0, expression  303 ,  304  becomes respectively expression  324 ,  325  of  FIG. 9 . After fermionic spinization  306 , expression  325  becomes expression  326  which governs massless fermion (neutrino) in Dirac form. After bosonic spinization  327 , expression  325  becomes expression  328  where s=(s 1 , s 2 , s 3 ) are spin operators for spin 1 particle as shown in expression  329 . From definition  330 , expression  331  is obtained. To obey fundamental relationship  301  in determinant view  331 , it is necessary that the last term in  331  acting on the external and internal wave functions respectively produce null result (zero) in source-free zone. It is proposed that expression  325  governs massless particle with unobservable spin (spinless). After bosonic spinization, the spinless and massless particle gains its spin 1. 
         [0041]    Further, if |p↑=0, expression  303 ,  304  becomes respectively expression  332 ,  334  of  FIG. 10 . It is suggested that the above spaceless forms of matrix rules  332 ,  334  govern the external and internal wave functions (self-fields) which play the roles of spaceless gravitons, that is, they mediate space (distance) independent interactions through proper time (mass) entanglement. 
         [0042]    In prespacetime model, self-confinement of an elementary entity is produced through imaginary momentum p i  (downward self-reference such that m 2 &gt;E 2 ) as shown in expression  335  or  336  of  FIG. 11  which is created by primordial self-referential spin shown in  337  of  FIG. 11 . Therefore, allowing imaginary momentum (downward self-reference) for an elementary entity, matrix rules in Dirac-like forms as shown in  338 ,  339  can be generated through self-referential spin. Indeed, matrix rules in Weyl-like (chiral-like) form as shown in  340 ,  341  can also be similarly generated. It is proposed that these additional forms of self-referential matrix rules govern proton in Dirac and Weyl form respectively. 
         [0043]    The matrix game for generating various forms of the matrix rules prior to spinization is invented and summarized in express  342  of  FIG. 12  where Det means determinant and M E , M m  and M p  are respectively matrices with ±E (or ±iE), ±m (or ±im) and ±|p| (or ±i|p|) as elements respectively, and E 2 , −m 2  and −p 2  as determinant respectively, and L M  is the matrix rule so derived. By way of a first example, the matrix rule in Dirac form  343  prior to spinization can be derived as shown in  344 . By way of a second example, the matrix rule in Weyl form  345  prior to spinization can be derived as shown in  346 . By way of a third example, the matrix rule in quaternion form  347  prior to spinization can be derived as shown in  348 . 
         [0044]    The Natural laws created in accordance with the prespacetime model are hierarchical and comprised of: (1) immanent Law of Conservation manifesting and governing in the external or internal world which may be violated in certain processes; (2) immanent Law of Zero manifesting and governing in the dual world as a whole; and (3) transcendental Law of One manifesting and governing in prespacetime. By ways of examples, conservations of energy, momentum and mass are immanent (and approximate) laws manifesting and governing in the external or internal world. Conservations of energy, momentums or mass to zero in the dual world comprised of the external world and internal world are immanent law manifesting and governing in the dual world as a whole. Conservation of One (Unity) based on energy-momentum-mass relationship is transcendental law manifesting and governing in prespacetime which is the foundation of external world and internal world. 
       III. Generation of Elementary Particles 
       [0045]    In one embodiment, a free plane-wave fermion such as an electron in Dirac form is created, sustained and made evolving in the prespacetime as shown in mathematical expressions  349 ,  350 ,  351  of  FIG. 13 . A different expression of  351  is shown in  352 . 
         [0046]    In a 2 nd  embodiment, a free plane-wave antifermion such as a positron in Dirac form is created, sustained and made evolving in prespacetime as shown mathematical expressions  353 ,  354  and  355  of  FIG. 14 . 
         [0047]    In a 3 rd  embodiment, a free plane-wave fermion such as an electron in Weyl (chiral) form is created, sustained and made evolving in prespacetime as shown mathematical expressions  356 ,  357  and  358  of  FIG. 15 . A different expression of  358  is shown in  359 . 
         [0048]    In a 4 th  embodiment, a free plane-wave fermion such as an electron in a 4 th  form is created, sustained and made evolving in prespacetime as shown mathematical expressions  360 ,  361 ,  362  and  363  of  FIG. 16 . A different expression of  362  is shown in  364 . 
         [0049]    In a 5 th  embodiment, a linear plane-wave photon is created, sustained and made evolving in prespacetime as shown mathematical expressions  365 ,  367  and  368  of  FIG. 17 . 
         [0050]    The linear plane-wave photon has a wave function as shown in  369 . Two of the Maxwell equations in a vacuum are derived as shown in  371 . These two equations together with equations (or source-free conditions) in  373  form a complete set of the Maxwell equations in a source-free zone. 
         [0051]    In a 6 th  embodiment, a free plane-wave massless neutrino in Dirac form is created, sustained and made evolving in prespacetime by replacing the bosonic spinization shown in  368  with the fermionic spinization shown in  374  of  FIG. 18 . 
         [0052]    In a 7 th  embodiment, a linear plane-wave antiphoton is created, sustained and made evolving in prespacetime as shown in  375 ,  376  and  377  of  FIG. 18 . The linear plane-wave antiphoton has a wave function as shown in  378 . 
         [0053]    In an 8 th  embodiment, a free plane-wave massless antineutrino in Dirac form is created, sustained and made evolving in prespacetime by replacing the bosonic spinization shown in  377  with the fermionic spinization shown in  379 . 
         [0054]    In a 9 th  embodiment, a spaceless (distance independent) wave function (spaceless graviton) of a mass m in Weyl form is created, sustained and made evolving in prespacetime as shown in mathematical expressions  401  and  402  of  FIG. 19 . 
         [0055]    In a 10 th  embodiment, a spatially self-confined entity such as a proton in Dirac form is created, sustained and made evolving in prespacetime through imaginary momentum p i  (downward self-reference) such that m 2 &gt;E 2  as shown in mathematical expressions  403 ,  404  and  405  of  FIG. 20 . In the prespacetime model, equation  404  governs the spatial self-confinement of an unspinized proton in Dirac form through the imaginary momentum p i  and, on the other hand, equation  405  governs the spatial self-confinement of the spinized proton in Dirac form through the imaginary momentum p i . 
         [0056]    Thus, according to the prespacetime model, an unspinized antiproton and a spinized antiproton in Dirac form are respectively governed by equation  406  and  407  of  FIG. 20 . 
         [0057]    In a 11 th  embodiment, a spatially self-confined entity such as a proton in Weyl form is created, sustained and made evolving in prespacetime through the imaginary momentum p i  (downward self-reference) such that m 2 &gt;E 2  as shown in mathematical expressions  408 ,  409  and  410  of  FIG. 21 . In the prespacetime model, equation  409  governs the spatial self-confinement of an unspinized proton in Weyl form through the imaginary momentum p i  and, on the other hand, equation  410  governs the spatial self-confinement of the spinized proton in Weyl form through the imaginary momentum p i . 
         [0058]    Thus, according to the present model, an unspinized antiproton and a spinized antiproton in Weyl form are respectively governed by equation  411  and  412  of  FIG. 21 . 
       IV. Generation of Composite Particles 
       [0059]    In a first embodiment, a neutron comprised of an unspinized proton in Dirac form shown in  413  of  FIG. 22  and a spinized electron in Dirac form shown in  414  of  FIG. 22  is created, sustained and made evolving in prespacetime as shown in mathematical expressions  415  and  416  of  FIGS. 22 and 417  of  FIG. 23  in which ( ), ( ) and ( ) indicate proton, electron and neutron respectively. Further, the unspinized proton has electric charge e, the spinized electron has charge −e; (φ, A) p , (φ, A) e  are respectively electromagnetic potential acting on the unspinized proton and the tightly bound spinized electron; and V is a binding potential from the unspinized proton acting on the spinized electron causing tight binding. If (φ, A) p  is negligible due to fast motion of the tightly bound spinized electron,  418  is derived from  417 . Experimental data on charge distribution and g-factor of the neutron support the neutron in the prespacetime model which is comprised of the unspinized proton and the tightly bound spinized electron. A Weyl form of  417  and  418  are respectively  419  and  420  of  FIG. 23 . 
         [0060]    In a second embodiment, hydrogen comprised of a spinized proton in Dirac form shown in  421  of  FIG. 24  and a spinized electron in Dirac form shown in  422  of  FIG. 24  is created, sustained and made evolving in prespacetime as shown in mathematical expressions  423  of  FIGS. 24 and 424  and  425  of  FIG. 25 . In  FIGS. 24 &amp; 25 , ( ) p , ( ) e  and ( ) h  indicate proton, electron and hydrogen respectively. Further, the spinized proton has electric charge e, the spinized electron has charge −e; and (φ, A) p , (φ, A) e  are respectively electromagnetic potential acting on the spinized proton and the spinized electron in  FIG. 25 . If (φ, A) p  is negligible due to fast motion of the spinized electron in  FIG. 25 ,  426  is derived from  425 . A Weyl form of  425  and  426  are respectively  427  and  428  of  FIG. 25 . 
       V. Prespacetime Model of Ether (Aeher) 
       [0061]    In the prespacetime model, the mathematical representation of the primordial ether in prespacetime is the Euler&#39;s number (Euler&#39;s Constant) e which makes the Euler&#39;s identity  429  of  FIG. 26  to hold. Second, in the prespacetime model the Euler&#39;s number e is the foundation of primordial distinctions shown in  430  of  FIG. 26 . Third, in the prespacetime model the Euler&#39;s number e is the foundation for generating the energy-momentum-mass relationship as shown  431  of  FIG. 26 . Fourth, in the prespacetime model the Euler&#39;s number e is the foundation for creating, sustaining and making evolving the elementary particle as shown  432  of  FIG. 26 . 
         [0062]    Further, in the prespacetime model, Euler&#39;s number e is the foundation of quantum entanglement or gravity in prespacetime. 
         [0063]    It will be evident from the above that there are other embodiments which are clearly within the scope and spirit of the present invention, although they were not expressly set forth above. Therefore, the above disclosure is exemplary only, and the actual scope of my invention is to be determined by the claims.