Louis de Broglie demonstrated in 1927 that all matter has wave properties. Erwin Schrödinger published in 1926 the famous Schödinger Wave equation. Paul Dirac published in 1928 the relativistic wave equation which is the most relevant equation in quantum physics to describe and calculate particle behavior. In this New Theory, based on a "Perfect Harmony in the Universe", the Dirac Equation will be presented as a Uniqe 4-dimensional Electromagnetic Wave Equation which describes the propagation of electromagentic fields with the speed of light in the space domain and the propagation of electromagnetic energy with the speed of light in the time domain. In this way the speed of light is a unique phenomenon that exists at the boundaries between space and time.

In this theory the electric field intensity has been presented by "E" and the magnetic field intensitiy has been presented by "H". The Electromagnetic field (E,H) equals the 4-dimensional rotation of the 4-dimensional vector potential "A" in the 4-dimensional Minkowski space (x1,x2,x3,ict).

To calculate the force densities within the electromagnetic radiation, the 4-dimensional Electromagnetic "Energy Momentum Tensor" has been introduced:

Presenting equation (7) in an electromagnetic way (E,H), becomes the ground on which we can derive the 4-dimensional Dirac equation. To maintain continuity in the numbering of the equations, this equation will always be numbered with (5) for generalization of this new and fundamental 4-dimensional wave equation.

As a starting point the 4-dimensional electromagnetic wave equation (5) has been chosen in which equation (5.P) equals the electromagnetic presentation of the conversation of electromagnetic energy (Poynting's Theorem) and also represents the electromagnetic presentation for the well-known 1-dimensional Dirac Equation in the Energy-Time domain:

Substituting the complex electromagnetic vector function phi and the complex conjugated vector function phi* in the 4-dimensional electromagnetic wave equation results in the 4-dimensional relativistic Dirac Equation.

After many years of research, the 11-dimensional Super String Theory did not lead to the fundamental answers on the fundamental questions in Physics. Why do elementary particles have the exact numbers for mass, charge and spin. To find answers a new path in Physics has been chosen. A path that has been based on a fundamental property in our universe. The fundamental property of Equilibrium. The whole Universe is in a perfect Equilibrium. This fundamental property of Equilibrium has been extended to a 4-dimensional Hyperspace Continuum in which a perfect equilibrium persists in any of the 4 coordinate directions.

The requirement of a 4-dimensional Equilibrium results in the outcome that the Dirac Equation is only one equation in a set of 4 equations. And that the Dirac Equation originates from an electromagnetic equation in the time-energy domain.  This new 4-Dimensional Hyperspace Equilibrium Theory opens a new door to an unexplored field of mathematical and physical challenges.  This theory is a new approach in physics based on a 4-Dimensional Hyperspace Equilibrium resulting in the 4-dimensional Dirac Equation. Solving these 4 simultaneous equations requires an immense computer performance and offers the possibilities to find the answers to the fundamental questions in physics within a quantum mechanical 4-Dimensional Frame-Work.

Every Physical Possible Electro-Magnetic Field Configuration of Confinement has to be a solution of this fundamental 4-Dimensional Relativistic Dirac Equation. (images arfe licensed to copy and paste)

The Equation in the Time-Energy Domain (x4) equals the well-known Quantum Mechanical Dirac Equation. The 3 Equations in the 3 spatial directions (coordinates x1, x2, x3) describe the Electromagentic Field. The term B-1 controls the speed of light. The terms B-2 and B-3 control the confinement of Light for the Electric Radiation Pressure and the terms B-4 and B-5 control the confinement of Light for the Magnetic Radiation Pressure.

As a demonstration of the power of the 4-dimensional Relativistic Dirac Equation, basic polarized laser beam with a Gaussian Intensity Division will be used. The laser beam propagates towards the z-direction. The Electric Field "E" is oriented along the x-axis and the Magnetic Field "H" is oriented along the y-axis.

The laser beam has a Gaussian Intensity Division:

The laser beam propagates towards the positive z-direction with the speed of light. That is only possible because exactly at the speed of light there will exist a "Perfect Equilibrium" between the Electromagneic radiation Pressure towards the positive z-direction and the confining Electromagnetic Interaction Force Density term B-1 driented along the negative z direction.

The x-y plane is oriented perpendicular on the z-direction. The speed of light towards the positive z-direction equals the speed of light (the constant "c = 300.000 km/s"). But the speed of light in the x-y plane has to be exactly zero. Else the diameter of the laser beam would become larger and larger during the propagation along the positive z-direction. This is only possible becasue the Electromagnetic confining forces B-2,B-3,B-4 and B-5 compensate exactly the outward oriented radiation pressure towards the x-dirention and the y-direction.

The Electric Radiation Pressure has been compensated by the Coulomb Force Densities within the Laser Beam

The Electric Radiation Pressure along the x-axis has been compensated by the term B-2:

The Electric Radiation Pressure along the y-axis has been compensated by the term B-3:

The Magnetic Radiation Pressure along the y-axis has been compensated by the term B-4:

The Magnetic Radiation Pressure along the x-axis has been compensated by the term B-5:

We return to the 4-Dimensional Relativistic Dirac Equation:

The Stationary Electro-Magnetic Field Confinement with a dimension more than a “Billion Times a Billion” times smaller than Superstrings is a solution of equation (5-a) and has been presented in the equations (58) and (59):

The Electric Charge Density and the Magnetic Flux Density (Spin) for the Stationary Electro-Magnetic Field Confinement Type III with a dimension more than a “Billion Times a Billion” times smaller than Superstrings is a solution of equation (5-a) and has been presented in the equations (63) and (64):

PlotGraph of the Electric Field Intensity (f(r) for the region 10 Exp[-85] < r < 10 Exp[-80] with a frequency ω = 10 Exp[90] s Exp[-1] in which the gravitational field accelleration has been chosen accordingly an electromagnetic mass of 1,6726 x 10 Exp[-27] [kg] located at the center of the confinement.

Two versions of the book, describing this theory, are available:

1. The Religious Version: “Beyond Superstrings”. This book has been written for the Atheists. For the non-believers. For those who do not believe in God, in Allah, in Elohim. For those who do not believe in YHWH. For those who do not believe that there is a life after death or there was a life before death. For those who do not believe in the human soul that will survive every death. For those who do not believe in evil. I have written for you a special book. Because you are special. Because I do believe that you are so much more than you think you are. You do not want to live in a world filled with lies, fear and fairy tales. And that is because you are a warrior.  And the warrior does not sleep in the same dormitory where the enemy sleeps. Because he knows that the enemy will destroy him in the deepest hour of his sleep when he is weak and defenseless. You are the army that will rise when the darkness falls over the earth. You will become the soldiers on the battlegrounds when the war has come. The war between Light and Darkness. The war between Good and Evil. The war between Love and Hate. I will speak to you rough and without mercy. Because you are asleep in the dormitories of your soul and you do not see that your dormitory is already on fire. Yes I am ringing the alarm bells in the middle of  the darkest hour of the night and will make every sound that I can,  to wake you up from your deep sleep and tell you that the armies of darkness are coming. The Army of Darkness will come like a thief in the darkest hour of the night.
2. The non-Religious version: “Unified 4-dimensional Hyperspace Equilibrium”  which only contains the mathematical part of the book. This book has been written for them who have found YHWH already and I do not have to speak to them in words they already know.

Louis de Broglie demonstrated in 1927 that all matter has wave properties. Erwin Schrödinger published in 1926 the famous Schödinger Wave equation. Paul Dirac published in 1928 the relativistic wave equation which is the most relevant equation in quantum physics to describe and calculate particle behavior. In this New Theory, based on a "Perfect Harmony in the Universe", the Dirac Equation will be presented as a Uniqe 4-dimensional Electromagnetic Wave Equation which describes the propagation of electromagentic fields with the speed of light in the space domain and the propagation of electromagnetic energy with the speed of light in the time domain. In this way the speed of light is a unique phenomenon that exists at the boundaries between space and time.

In this theory the electric field intensity has been presented by "E" and the magnetic field intensitiy has been presented by "H". The Electromagnetic field (E,H) equals the 4-dimensional rotation of the 4-dimensional vector potential "A" in the 4-dimensional Minkowski space (x1,x2,x3,ict).

Presenting equation (7) in an electromagnetic way (E,H), becomes the ground on which we can derive the 4-dimensional Dirac equation. To maintain continuity in the numbering of the equations, this equation will always be numbered with (5) for generalization of this new and fundamental 4-dimensional wave equation.

As a starting point the 4-dimensional electromagnetic wave equation (5) has been chosen in which equation (5.P) equals the electromagnetic presentation of the conversation of electromagnetic energy (Poynting's Theorem) and also represents the electromagnetic presentation for the well-known 1-dimensional Dirac Equation in the Energy-Time domain:

Substituting the complex electromagnetic vector function phi and the complex conjugated vector function phi* in the 4-dimensional electromagnetic wave equation results in the 4-dimensional relativistic Dirac Equation.

After many years of research, the 11-dimensional Super String Theory did not lead to the fundamental answers on the fundamental questions in Physics. Why do elementary particles have the exact numbers for mass, charge and spin. To find answers a new path in Physics has been chosen. A path that has been based on a fundamental property in our universe. The fundamental property of Equilibrium. The whole Universe is in a perfect Equilibrium. This fundamental property of Equilibrium has been extended to a 4-dimensional Hyperspace Continuum in which a perfect equilibrium persists in any of the 4 coordinate directions.

The requirement of a 4-dimensional Equilibrium results in the outcome that the Dirac Equation is only one equation in a set of 4 equations. And that the Dirac Equation originates from an electromagnetic equation in the time-energy domain.  This new 4-Dimensional Hyperspace Equilibrium Theory opens a new door to an unexplored field of mathematical and physical challenges.  This theory is a new approach in physics based on a 4-Dimensional Hyperspace Equilibrium resulting in the 4-dimensional Dirac Equation. Solving these 4 simultaneous equations requires an immense computer performance and offers the possibilities to find the answers to the fundamental questions in physics within a quantum mechanical 4-Dimensional Frame-Work.

Every Physical Possible Electro-Magnetic Field Configuration of Confinement has to be a solution of this fundamental 4-Dimensional Relativistic Dirac Equation. (images arfe licensed to copy and paste)

The Equation in the Time-Energy Domain (x4) equals the well-known Quantum Mechanical Dirac Equation. The 3 Equations in the 3 spatial directions (coordinates x1, x2, x3) describe the Electromagentic Field. The term B-1 controls the speed of light. The terms B-2 and B-3 control the confinement of Light for the Electric Radiation Pressure and the terms B-4 and B-5 control the confinement of Light for the Magnetic Radiation Pressure.

As a demonstration of the power of the 4-dimensional Relativistic Dirac Equation, basic polarized laser beam with a Gaussian Intensity Division will be used. The laser beam propagates towards the z-direction. The Electric Field "E" is oriented along the x-axis and the Magnetic Field "H" is oriented along the y-axis.

The laser beam has a Gaussian Intensity Division:

The laser beam propagates towards the positive z-direction with the speed of light. That is only possible because exactly at the speed of light there will exist a "Perfect Equilibrium" between the Electromagneic radiation Pressure towards the positive z-direction and the confining Electromagnetic Interaction Force Density term B-1 driented along the negative z direction.

The x-y plane is oriented perpendicular on the z-direction. The speed of light towards the positive z-direction equals the speed of light (the constant "c = 300.000 km/s"). But the speed of light in the x-y plane has to be exactly zero. Else the diameter of the laser beam would become larger and larger during the propagation along the positive z-direction. This is only possible becasue the Electromagnetic confining forces B-2,B-3,B-4 and B-5 compensate exactly the outward oriented radiation pressure towards the x-dirention and the y-direction.

The Electric Radiation Pressure has been compensated by the Coulomb Force Densities within the Laser Beam

The Electric Radiation Pressure along the x-axis has been compensated by the term B-2:

The Electric Radiation Pressure along the y-axis has been compensated by the term B-3:

The Magnetic Radiation Pressure along the y-axis has been compensated by the term B-4:

The Magnetic Radiation Pressure along the x-axis has been compensated by the term B-5:

We return to the 4-Dimensional Relativistic Dirac Equation:

The Stationary Electro-Magnetic Field Confinement with a dimension more than a “Billion Times a Billion” times smaller than Superstrings is a solution of equation (5-a) and has been presented in the equations (58) and (59):

The Electric Charge Density and the Magnetic Flux Density (Spin) for the Stationary Electro-Magnetic Field Confinement Type III with a dimension more than a “Billion Times a Billion” times smaller than Superstrings is a solution of equation (5-a) and has been presented in the equations (63) and (64):

PlotGraph of the Electric Field Intensity (f(r) for the region 10 Exp[-85] < r < 10 Exp[-80] with a frequency ω = 10 Exp[90] s Exp[-1] in which the gravitational field accelleration has been chosen accordingly an electromagnetic mass of 1,6726 x 10 Exp[-27] [kg] located at the center of the confinement.

Two versions of the book, describing this theory, are available:

1. The Religious Version: “Beyond Superstrings”. This book has been written for the Atheists. For the non-believers. For those who do not believe in God, in Allah, in Elohim. For those who do not believe in YHWH. For those who do not believe that there is a life after death or there was a life before death. For those who do not believe in the human soul that will survive every death. For those who do not believe in evil. I have written for you a special book. Because you are special. Because I do believe that you are so much more than you think you are. You do not want to live in a world filled with lies, fear and fairy tales. And that is because you are a warrior.  And the warrior does not sleep in the same dormitory where the enemy sleeps. Because he knows that the enemy will destroy him in the deepest hour of his sleep when he is weak and defenseless. You are the army that will rise when the darkness falls over the earth. You will become the soldiers on the battlegrounds when the war has come. The war between Light and Darkness. The war between Good and Evil. The war between Love and Hate. I will speak to you rough and without mercy. Because you are asleep in the dormitories of your soul and you do not see that your dormitory is already on fire. Yes I am ringing the alarm bells in the middle of  the darkest hour of the night and will make every sound that I can,  to wake you up from your deep sleep and tell you that the armies of darkness are coming. The Army of Darkness will come like a thief in the darkest hour of the night.
2. The non-Religious version: “Unified 4-dimensional Hyperspace Equilibrium”  which only contains the mathematical part of the book. This book has been written for them who have found YHWH already and I do not have to speak to them in words they already know.