Heim theory

Heim theory is a proposed 'Theory of Everything', based on the work of the German physicist Burkhard Heim. The theory attempts to resolve incompatibilities between quantum theory and general relativity. The term "Heim theory" is also used for theories which are extensions or generalizations of the original theory proposed by Heim. Most notable are the theoretical generalizations put forth by Droescher, who worked in collaboration with Heim for some length. Their combined theories are also known as "Heim-Droescher" theories, although there are no international established standards for naming Heim-related theories at present. This ambiguity in the term "Heim Theory" has led to some confusion and difficulties over the correct interpretation of the theory. For example, in its original version Heim theory used 6 dimensions, which was sufficient to derive the masses of elementary particles. Droescher first extended this to 8, in order to demonstrate that the QED and QCD structures of the standard model could be found within this expanded version of the original Heim theory. Later, 4 more dimensions were used in the 12 dimensional version that involves extra gravitational forces one of which corresponds to quintessence. All these theories are often known as "Heim theories". The various dimensional extensions allow one to interpret that branches of established physics can be found in Heim theory. This includes Maxwell's equations.

Gravitation

Heim theory assumes that a gravitational potential arises from the gradient of a field φ(r). Position dependent mass is the function m(r), and r is the radial distance from a quanta of a point mass.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

A differential equation used to describe the basis is

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

: left ( rac{d phi}{dr} ight ) ^2 + 32 rac{c^2}{3}F left( rac{d phi}{dr} + F phi ight ) = 0, F = rac{1}{r} rac{h^2 + gamma m^3 r}{h^2 - gamma m^3 r}.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

If this equation is nondimensionalized the characteristic length of the system is

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

:r_c = rac{h^2}{gamma m^3}.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

The characteristic length is the distance from a point mass for which the field φ(r)=0. It is also the case that the field attains its absolute minimum. Hence, the gravitational force is identially zero at this distance.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

The solution to the differential equation has the curve φ(r) concave up. The gravitational potential that arises from this field can be positive, negative or zero.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~