criticisms of the einstein field equation - Alpha Institute for Advanced ...

geometry such as Levi-Civita and Grossman. The field equation states that
a quantity in Riemann geometry is proportional to the Noether Theorem of
physics, the latter being essentially the conservation laws of physics in tensor
form, or generally covariant form. The quantity in geometry is what the standard
physics calls the second Bianchi identity. The proportionality constant is
k, the Einstein constant. The Einstein field equation then follows by assuming
that the covariant derivative on both sides can be removed, so that the Einstein
tensor itself is proportional through k to a quantity known as the canonical
energy momentum density of matter.
This is the equation that is still used in the standard physics to predict such
things as big bang, black holes and dark matter. They are all consequences
of the Einstein field equation, which has become dogmatic in nature. As early
as 1918 Bauer and Schroedinger independently showed major shortcomings of
the Einstein field equation and the Eddington experiment is known now to be
essentially an exercise in anthropomorphic bias, lacking entirely the precision to
prove the field equation as is so often claimed in the standard physics. In the
early twenties, Cartan showed that the Riemann geometry itself is incomplete
because of its lack of space-time torsion. The torsion was unfortunately eliminated
by Ricci and Levi-Civita through their use of the symmetric connection,
often attributed to Christoffel.
The Einstein field equation is therefore based on a geometry in which torsion
is eliminated arbitrarily. There is no logical justification for this elimination of
torsion. In this book, it is shown what happens when the torsion is neglected -
essentially a disaster for twentieth century standard physics. The only way in
which standard physics can justify its claims is to assert without logic that torsion
is a mathematical abstraction. In logic, torsion is no more of an abstraction
than curvature, on which the whole of the illogical paraphenalia of big bang,
black holes and dark matter is based. Chapter two shows essentially how the
torsion is central to a generally covariant unified field theory, the ECE theory.
Chapter three by Crothers show shows the vacuum solutions of the Einstein
field equation are meaningless, and reveals the basic errors repeated down the
twentieth century by the standard physics. Chapter four by Eckardt uses newly
developed computer algebra to show precisely how the lack of torsion leads to a
basic contradiction with the Bianchi identity of Cartan in its Hodge dual form,
and chapter five by Pendergast summarizes the historical context.
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