[Protosimplex] [Examples and illustrations]
last update 06-03-21

Examples and illustrations

Playing with the corrected gravitation law

Integrating field mass into gravitation results in a corrected gravitation law, which deviates for very large distances from Newton's description.
Furthermore its area of validity now has an upper (R0) and a lower limit (r0), called reality barriers.

Any mass which is situated in the range between the upper border distance R0 and ρ must overcome a very weak repulsion force, if it wants to approach the source of field. Since this effect occurs only for very large distances, it is practically not observable. However the value of astronomical red shift can be acknowledged as result of this repulsion by computating this with Heim's corrected gravition law (see below).

For distances smaller than ρ the field now corresponds in good approximation to Newton's approximation. All empirical processes in space we are able to observe take place within this area.

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This corrected gravitation law plays a key role in Heim's mathematical calculations, because Heim says Gravitation is the only physical background phenomenon which accompanies all physical effects. (This is a result of equivalence of gravitation and inertia and a second equivalence of mass and energy. Therefore all energy phenomena can be expressed by matter-field-quanta).

1. Final geometrical unit

Here is another fundamental thought of Burkhard Heim. He says If gravitation is the general background phenomenon of physical world, then there cannot be a world outside of the boundaries of gravitation! Therefore with this law it is possible now to determine both the smallest thing in the world (fundamental geometrical unit) and the largest thing existing – the diameter of the whole world.
Now we will see, how this things are done.

First Heim was examining whether there would be a final geometrical value, which remains still existing even if all masses are disappearing in empty space. In fact such a value is calculable while transitioning mass against 0, if you form a product between the lower reality border of gravitation and Kompton's wave length of this infinitesimal mass.
Interesting enough, this final geometrical unit then will be a surface. It's size is approximately the square of Planck's length. (Heim named it τ, because this letter existed coincidentally on his typewriter).

The exact value of this metrons (6.15 * 10-70 m2) describes the final geometrical unit of empty space, where no mass exists. Real physical space – in contrast to this – always is curved, whereby this elementary surfaces become more or less compressed (condensed) depending upon densities of all fields existing in this space.

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2. Diameter of the physical world

Just as the smallest thing of our world Heim also derives the largest thing from the boundaries of gravitation law – the maximum diameter of our physical world.
If you calculate an upper boundary  R0 of the gravitation law for the smallest  mass conceivable (elementary mass), you will receive the largest diameter for which gravitation law really exists.

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3. Cosmic red shift

Finally Heim found that cosmic red shift too is a result of the corrected gravitation law. Therefore each particle of this world must approach primarily against the repulsive gravitation component of almost the whole remaining world. (This corresponds to the field curve between ρ and R0.) This is using energy whereby each photon becomes longer in it's wavelength during this journey.

Heim inserted estimated middle mass density of universe into his formula and than he received as result Hubble radius, which is the radius of our visible world. Each photon coming from further on behind this radius has lost all of his energy.
Even observed exceptions in red shift are plausible now with this model. They are only a result of inhomogenous mass density in space.

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© Olaf Posdzech, 1998