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Grand Unified Theory
Wave theory
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Theory of everything



Time continuum: by quantum time evolution.

Continuum time, by continuum energetic hyper- space activity appears by endless [evolution] of vortices [quanta] formations.

  Time like Schrödinger cats paradox,alive and not alive for ever.

 Chaim, Henry Tejman Dr.

Emeritus, Jerusalem university.

United Nature-Wave theory


  Tejman: Continuum time: Constant active sophisticated energetic hyperspace composed by three sophisticated constant active media:

 Space, time and energy are waved together.

   Each has its own properties and behaviours; one cannot exist without the others.  Theoretically, each of them has no beginning and no end, and they are all one entity but are changeable, depending on different phases of energetic matter in which they appear and decay together.

These three media - time, space and energy create sophisticated regional vortex wave-quantum creation with all energetic space time forces. Quantum formation has beginning and end but by energetic space time [time quantum genes] create endless recrudescent quantum time [evolution] future quanta of continue times.

Continuum time and hyperspace by continuum vortices [quanta] creation A. Einstein: Continue time: A four-dimensional continuum with four coordinates, the three dimensions of space and that of time, in which any

event can be located.                        

United Nature [Tejman] Continue time [Einstein]: A four-dimensional continuum with four coordinates, the three dimensions of space and that of time, in which any event can be located mainly by continuum endless evolution of quantum creation.

In Newton's absolute universe, time — as well as energetic matter and space — have neither a beginning nor an end as a main dimension. On the other hand, Einstein's relative time does contain a beginning and end together with the appearance of a formation and  disperse, again to the universe's, (to main dimensions) to form new energetic formations (relative time – time evolution).            Absolute time cannot exist without relative time and vice versa. Newton's absolute time is allied to universal dimension and Einstein's time (relative time) is allied to energetic matter quanta formations. 

 Time, as space and energy is a dimension of the universe.

Without energetic activity space and time would not exist.



Quantum creation: Condensation of energetic space time [Einstein] of regional swirl-circular vicious-vortex creation [Tejman].

Quantum 3 D –M-bubble, M. Planck,

curled formation by regional space time swirl .

Max Plank: quantum constant [equilibrium of energetic forces]. creation of everything.



Black hole radiation

Energetic-electric part of quantum symmetry

Magnetic-gravity part of  quantum symmetry

 Quantum-Gravitational wave 3 D strings    [ of all quanta formations]-–Space time geometry- bubble - A. Einstein,

Albert Einstein’s space time curvatures-is equation of quantum


G_{\mu \nu} + \Lambda g_{\mu \nu}= {8\pi G\over c^4} T_{\mu \nu}


Einstein’s equation 3D


Visual Einstein’s and Tejman’s quantum space time curvatures 3D

Galaxy two semi loops 3D quantum

A. Einstein equation describe the relation between the geometry of a four-dimensional, semi-Riemannian  manifold representing spacetime on the one hand, and the energy-momentum contained in that space time on the other. That is exactly quantum formation. creation of everything Theory of everything, Einstein did that! But not imaginate visually the quantum as appear in nature and United Nature theory by introduction two behavior and phase transition of every quantum formation [include living formations] explain this ingenious equation as the quantum really appears in nature .  

Quantum C.Tejman: Composed by 3 D bubble stringsenergetic paths, which by swirling rotation and revolving motion create strings    wave formation of electro-magnetic and gravity semi loops720 – two perpendicular spins forces] two semi perpendicular loops of gravitational wave as really that appears in nature.  The first laboratory quantum formation create                 M. Faraday, with two main perpendicular forces, exactly as Einstein’s and Tejman’ equations

Faraday’s experiment.

Other important quantum equations.   


This Tejman’s equation explain the behavior of the two semi loops in photon phase transition.In different phase transitions the proportion are other.

Every quantum creation composed by two main behaviors: electric and magnetic-gravity.


Schrödinger’s equation:


Faraday’s equation:


Maxwell equation:

Planck’s equation:         

Einstein’s  equation:

       The de Broglie equation   f =E/h,  or  E= fXh


TIME: appears together with strings regional swirl vortex- quantum creation [the 4th dimension of quantum], by space time curvature, which by revolving and rotation motion create main electro-magnetic force. Time continuum by space time curvature, with all forces obeys all rules of quantum formation. There is not chaos. Everything [like in army] obeys the hierarchy order by continuum time strings-energetic path from basic main energetic swirl and its main electromagnetic force. Time vanishes together with quantum disintegration [dispersion] and by evolution by quanta genes continue to form new future quanta with all formations of inquired times.

Equation of everything [Tejman]: Equilibrium of all energetic forces-times of quantum formation in all different phase transitions.


Albert Einstein (1879–1955).  Relativity: The Special and General Theory.  1920.


The Space-Time Continuum of the Special Theory of Relativity Considered as a Euclidean Continuum

Minkowski found that the Lorentz transformations satisfy the following simple conditions. Let us consider two neighbouring events, the relative position of which in the four-dimensional continuum is given with respect to a Galileian reference-body K by the space co-ordinate differences dx, dy, dz and the time-difference dt. With reference to a second Galileian system we shall suppose that the corresponding differences for these two events are dx', dy', dz', dt'. Then these magnitudes always fulfil the condition. 1


The validity of the Lorentz transformation follows from this condition. We can express this as follows: The magnitude ds2=dx2+dy2+dz2-c2dt2 which belongs to two adjacent points of the four-dimensional space-time continuum, has the same value for all selected (Galilean) reference-bodies. If we replace x, y, z,  

ds2=dx2+dy2+dz2-c2dt2 ds2=dx2+dy2+dz2-c2dt2 \


Tejman: United Nature-Wave theory 

Infinite continue hyperspace by continue evolution of quanta time [regional vortices] swirls.

Time Continuum: recurrence of quanta formations [time genes] as Continue time [Einstein]: A four-dimensional continuum with four coordinates, the three dimensions of space and that of time, in which any event can be located mainly by continuum endless evolution of quantum creation.


                               Energetic semi loop

  Time: Continuum  = ─────────    Quantum evolution.

                                      Magnetic semi loop

Time continuum: by motion of quanta [vortex, swirl] by two perpendicular forces [two semi continuum swirls]-electric and magnetic by four Einstein’s four-dimensional continuum with four coordinates.

In sophisticated energetic hyper-space – by continuum space time curvatures [A. Einstein] which by swirling rotation and revolving motion create two perpendicular forces electro-magnetic that create time quantum [everything].                                                                                             

In sophisticate hyperspace, appears endless different vortices-quanta [endless wave frequency] with their relative endless continuum times.


 wave frequency hence constant



Other works: 

Spacetime intervals

s^2 =  \Delta r^2 - c^2\Delta t^2 \,   (spacetime interval),

Time-like interval

\begin{align} \\
  c^2\Delta t^2 &> \Delta r^2 \\
            s^2 &< 0 \\

The measure of a time-like spacetime interval is described by the proper time:

\Delta\tau = \sqrt{\Delta t^2 - \frac{\Delta r^2}{c^2}}   (proper time).

Light-like interval

 c^2\Delta t^2 &= \Delta r^2 \\
           s^2 &= 0 \\


Space-like interval

\begin{align} \\
  c^2\Delta t^2 &< \Delta r^2 \\
            s^2 &> 0 \\

For these space-like event pairs with a positive squared spacetime interval (s2 > 0), the measurement of space-like separation is the proper distance:

\Delta\sigma = \sqrt{\Delta r^2 - c^2\Delta t^2}   (proper distance).

Like the proper time of time-like intervals, the proper distance (Δσ) of space-like spacetime intervals is a real number value.

Spacetime in special relativity Main article:               Minkowski space                                                         The geometry of spacetime in special relativity is described by the Minkowski metric on R4. This spacetime is called Minkowski space. The Minkowski metric is usually denoted by η and can be written as a four-by-four matrix:

\eta_{ab} \, = \operatorname{diag}(1, -1, -1, -1)  Two-dimensional analogy of space–time distortion. Matter changes the geometry of spacetime, this (curved) geometry being interpreted as gravity. White lines do not represent the curvature of space but instead represent the coordinate system imposed on the curved spacetime, which would berectilinear in a flat spacetime.


Figure 1. Configuration of a continuum body   \ \mathbf{x}=\kappa_t(\mathbf X) 

Kinematics: deformation and motion

Figure 2. Motion of a continuum body.                                                                                                       The material points forming a closed surface at any instant will always form a closed surface at any subsequent time and the matter within the closed surface will always remain within.

It is convenient to identify a reference configuration or initial condition which all subsequent configurations are referenced from. The reference configuration need not to be one the body actually will ever occupy. Often, the configuration at \ t=0 is considered the reference configuration , \ \kappa_0 (\mathcal B). The components \ X_i of the position vector \ \mathbf X of a particle, taken with respect to the reference configuration, are called the material or reference coordinates.

Lagrangian description

\ \mathbf a= \mathbf \dot v = \mathbf \ddot x =\frac{d^2\mathbf x}{dt^2}=\frac{\partial^2 \chi(\mathbf X,t)}{\partial t^2}   

Eulerian description

\ \frac{d}{dt}[p_{ij\ldots}(\mathbf x,t)]=\frac{\partial}{\partial t}[p_{ij\ldots}(\mathbf x,t)]+ \frac{\partial}{\partial x_k}[p_{ij\ldots}(\mathbf x,t)]\frac{dx_k}{dt} 

Displacement Field  

It is common to superimpose the coordinate systems for the undeformed and deformed configurations, which results in \ \mathbf b=0, and the direction cosines become Kronecker deltas, i.e.

\ \mathbf E_J \cdot \mathbf e_i = \delta_{Ji}=\delta_{iJ}

Thus, we have

\ \mathbf u(\mathbf X,t) = \mathbf x(\mathbf X,t) - \mathbf X \qquad \text{or}\qquad u_i = x_i - \delta_{iJ}X_J

or in terms of the spatial coordinates as

\ \mathbf U(\mathbf x,t) = \mathbf x - \mathbf X(\mathbf x,t) \qquad \text{or}\qquad U_J = \delta_{Ji}x_i - X_J


Governing Equations

Let Ω be the body (an open subset of Euclidean space) and let \partial \Omega  be its surface (the boundary of Ω).                                                                                                                             Let the motion of material points in the body be described by the map

    \mathbf{x} = \boldsymbol{\chi}(\mathbf{X}) = \mathbf{x}(\mathbf{X})

where \mathbf{X} is the position of a point in the initial configuration and \mathbf{x} is the location of the same point in the deformed configuration.

The deformation gradient is given by

    \boldsymbol{F} = \frac{\partial \mathbf{x}}{\partial \mathbf{X}} = \boldsymbol \mathbf{x} \cdot \nabla  ~.

Balance Laws

      \rho~\det(\boldsymbol{F}) - \rho_0 &= 0 & &  \qquad \text{Balance of Mass} \\
      \rho_0~\ddot{\mathbf{x}} - \boldsymbol{\nabla}_{\circ}\cdot\boldsymbol{N} -\rho_0~\mathbf{b} & = 0  & & 
        \qquad \text{Balance of Linear Momentum} \\
      \boldsymbol{F}\cdot\boldsymbol{N} & = \boldsymbol{N}^T\cdot\boldsymbol{F}^T  & & 
        \qquad \text{Balance of Angular Momentum} \\ 
      \rho_0~\dot{e} - \boldsymbol{N}:\dot{\boldsymbol{F}} + \boldsymbol{\nabla}_{\circ}\cdot\mathbf{q} - \rho_0~s & = 0
          & & \qquad\text{Balance of Energy.} 

The operators in the above equations are defined as such that     \boldsymbol{\nabla} \mathbf{v} = \sum_{i,j = 1}^3 \frac{\partial v_i}{\partial x_j}\mathbf{e}_i\otimes\mathbf{e}_j = 
        v_{i,j}\mathbf{e}_i\otimes\mathbf{e}_j ~;~~
    \boldsymbol{\nabla} \cdot \mathbf{v} =  \sum_{i=1}^3 \frac{\partial v_i}{\partial x_i} = v_{i,i} ~;~~
    \boldsymbol{\nabla} \cdot \boldsymbol{S} = \sum_{i,j=1}^3 \frac{\partial S_{ij}}{\partial x_j}~\mathbf{e}_i 
          = \sigma_{ij,j}~\mathbf{e}_i ~.

where \mathbf{v} is a vector field, \boldsymbol{S} is a second-order tensor field, and \mathbf{e}_i are the components of an orthonormal basis in the current configuration. Also,

    \boldsymbol{\nabla}_{\circ} \mathbf{v} = \sum_{i,j = 1}^3 \frac{\partial v_i}{\partial X_j}\mathbf{E}_i\otimes\mathbf{E}_j = 
        v_{i,j}\mathbf{E}_i\otimes\mathbf{E}_j ~;~~
    \boldsymbol{\nabla}_{\circ}\cdot\mathbf{v} =  \sum_{i=1}^3 \frac{\partial v_i}{\partial X_i} = v_{i,i} ~;~~
    \boldsymbol{\nabla}_{\circ}\cdot\boldsymbol{S} = \sum_{i,j=1}^3 \frac{\partial S_{ij}}{\partial X_j}~\mathbf{E}_i = S_{ij,j}~\mathbf{E}_i

where \mathbf{v} is a vector field, \boldsymbol{S} is a second-order tensor field, and \mathbf{E}_i are the components of an orthonormal basis in the reference configuration.                                                                   The inner product is defined as    \boldsymbol{A}:\boldsymbol{B} = \sum_{i,j=1}^3 A_{ij}~B_{ij} = A_{ij}~B_{ij} ~.

The Clausius–Duhem inequality

      \rho~(\dot{e} - T~\dot{\eta}) - \boldsymbol{\sigma}:\boldsymbol{\nabla}\mathbf{v} \le 
           - \cfrac{\mathbf{q}\cdot\boldsymbol{\nabla} T}{T}.


These three media - time, space and energy create sophisticated regional vortex wave-quantum creation which has beginning and end but by energetic space time [quantum time genes] create endless recrudescent [evolution] quantum future continuum time]: with four-dimensional continuum with four coordinates, the three dimensions of space and that of time, in which any event can be located mainly by continuum endless evolution of quantum creation.      

This paper may be subject to copy, but please cited the source.

© Copyright:  Dr. Tejman Chaim, Henry.  November 2009

Theory of everything.