Albert Einstein gave the world his famous Einstein tensor equation. This seemingly simple result developed from the complex calculus of the Riemann curvature mathematics:
The tensor is cool, but this particular expression of the equation does not directly relate to a physical process or a useful physical measurement. The Riemann curvature mathematics employed by Einstein map out a space density gradient. The space density gradient can model the circular deflection angle of a photon path trajectory around the Sun, and it can model the orbital perigee precession of planets orbiting stars.
Schwarzschild simplifies Einstein’s Calculus
Karl Schwarzschild was serving on the war front during World War I. There he read Einstein’s General Relativity theory and quickly produced a simplified solution based upon simple Newtonian type equations. For example, to calculate the circular deflection angle of a photon path trajectory near the Sun, Schwarzschild would calculate the so-named Schwarzschild radius as:
And then divide twice the Schwarzschild radius of the Sun by the radius of the Sun:
The Aether Physics Model Completes Schwarzschild’s Solution
Although Schwarzschild used the insights of Albert Einstein to derive this simple, Newtonian type formula, the same result can be obtained from first principles in the Aether Physics Model. In the Aether Physics Model, the maximum mass of the Aether per the quantum length of the Aether gives us a length density constant. This length density constant is the maximum length density that can be reached in the formation of stars before the stars collapse into a black hole. The length density limit of the Aether is:
The values of these constants are available on the constants and units page. We can then be given the maximum curl of the Aether, which is 1 radian. In the Aether Physics Model, the unit of curl is equal in MKS units to:
In the Aether Physics Model, the radian is shown to be a dimensional unit equal to the curl unit. The numerical part of the curl unit is expressed in radians. Now we can easily construct our generalized Newtonian type expression for Albert Einstein’s tensor equation:
where is the Aether unit constant. All the constants quantify on our constants and units page. The left side of the equation is the matter tensor. The right side of the equation is the Aether (space) tensor.
Equation (7) is the full expression of the Einstein matter/space tensor, except that now we can see that the term in Albert Einstein’s and Karl Schwarzschild’s equations are redundant and do not belong in the equation. The term is an accident, which is introduced by ignoring the quantification of the Aether (space). Equation (7) simplifies to:
The Complete Expression of the Circular Deflection Angle
The generalized matter equals Aether equation calculates the circular deflection angle of the photon path trajectory around the Sun:
The result is given in units, which is exactly the value of the radians. Converting the to degrees, the circular deflection angle equals 1.752 arc minutes.
Notice that the mass of the Sun must be multiplied by two. This is due to the neutron content of the Sun being one half the total mass of the Sun. A neutron is a bound electron and proton, where the space of the electron has folded over on top of the space of the proton. This has the effect of pinching the fabric of Aether (space). The curl then must be divided by two, because the amount of space curvature is affected by only half the mass of the Sun.
The Complete Expression of the Orbital Perigee Precession Angle
We can further see how the matter equals Aether tensor equation applies to the orbital perigee precession angle:
where the is again given in radians and amounts to 41.166 arc minutes per 415.2 Mercury orbits (number of Mercury orbits per 100 Earth years). Notice that the Aether curl must still be divided by two. This is due to the same reason as the circular deflection angle. The neutrons pinching space account for only half the mass of the Sun, and therefore the curl of space is also only half the amount of Aether curl.
The Aether Physics Model provides the whole picture regarding the physical interpretations of Relativity theories. The matter equals Aether tensor equation is the simplest and most complete expression of the relationship between physical matter and Aether.
The Unified Charge Equation as a Tensor Expression
The Einstein tensor equation is further represented in the Aether Physics Model’s unified charge equation:
where the left side of the equation is the electrostatic charge of the Aether. The right side of the equation is the magnetic charge of physical matter. Again, the constants and units are given on our constants and units page.
The unified charge equation shows the charge carrier of the Aether (electrostatic charge) has an geometrical proportion with the magnetic charge of physical matter. The magnetic charge has half spin while the electrostatic charge has one spin. The magnetic charge has steradian angle geometry while the electrostatic charge has spherical geometry.
The fine structure of the electron () is due to the relationship of obverse electrostatic charge to inverse magnetic charge. It is as though a singularity was split, and the singularity resulted in two types of charges. From these two types of charges, it is easy to derive the simple and complete Unified Force Theory.