The Evans Equations of Unified Field Theory - Alpha Institute for ...

It describes the angles that connect the spacetime to various other
processes describing the four forces. It provides the connections. Those
connections can be quite complicated.
The tetrad mixes two vector fields, straightens or absorbs the nonlinearities,
and properly relates them to each other.
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In q a µ the q can symbolize spinors, matrices, gravitation, quark strong
force, electromagnetism, or the weak force. The a indicates the indices of the
tangent index manifold. The µ is the index of the base manifold, which is the
spacetime of the universe that can be thought of as the vacuum. The tangent
space to a manifold is connected by a “bundle.” That bundle is a group of
equations that define the relationships. The fiber bundle of gauge theory in
quantum mechanics is shown by the tetrad to be the same as the tangent space
of general relativity.
Some problems exist which are solved by the tetrad:
1) The gravitational field in the standard model is curved spacetime, while
the other three fields (electromagnetic, weak and strong) are entities on flat
spacetime. The tetrad can represent both.
2) The electromagnetic field in the standard model is Abelian. Rotating
fields are non-Abelian and the standard model’s Abelian electromagnetic field
cannot be generally covariant. The tetrad can be spun and then represent the
electromagnetic field.
These are barriers to uniting the four forces. We must quantize gravitation
and find a way to simultaneously describe the electromagnetic, weak, and strong
fields in conjunction with gravitation. The Evans Equations cure these two
problems by expressing all four fields as entities in curved spacetime within a
non-Abelian structure.
The tetrad mathematics shows that well known differential geometric
methods lead to the emergence of quantum theory from general relativity.