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Fundamentals of Relativization
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A new approach to reconciling General Relativity with Quantum Field
Theory is Relativization, the act of making a physical model which obeys
the principles of special relativity and General Relativity. This
approach immediately yields results that no other approach has. I have
established the foundations and fundamentals of relativization via a set
of axioms. Expressions such as appear
Pμ|p>=kμ|p>P^{\mu}\left|p\right\rangle\,=k^{\mu}\left|p\right\rangle,
or ==kμ=kμ\left\langle
p\right|P^{\mu}\left|p\right\rangle\,=\,\left\langle
p\right|k^{%
\mu}\left|p\right\rangle\,=k^{\mu}\left\langle
p\right.\left|p\right\rangle\,=%
k^{\mu}. Such expressions appear in textbooks and
papers but they are given a clearer interpretation in this model. Using
this new approach to the problem, I will formulate the standard model as
a relativized model in a curved space time with a locally valid
graviton-Higgs interaction. This interaction will lead to a renormalized
perturbation theory that can be summed up exactly to give the amplitude
of graviton-graviton interaction as approximately Cosh(p)Cosh(p). I
will solve a Schrodinger equation for a gravitationally bound system and
get theoretical predictions relating to the thermodynamics of Planck
scale black holes. Relativization has already provided a finite
quantitative prediction for the quantum corrections to the local
gravitational field, and gives results compatible with established black
hole thermodynamics. Further research will certainly yield new insights.
Title: Fundamentals of Relativization
Description:
A new approach to reconciling General Relativity with Quantum Field
Theory is Relativization, the act of making a physical model which obeys
the principles of special relativity and General Relativity.
This
approach immediately yields results that no other approach has.
I have
established the foundations and fundamentals of relativization via a set
of axioms.
Expressions such as appear
Pμ|p>=kμ|p>P^{\mu}\left|p\right\rangle\,=k^{\mu}\left|p\right\rangle,
or ==kμ=kμ\left\langle
p\right|P^{\mu}\left|p\right\rangle\,=\,\left\langle
p\right|k^{%
\mu}\left|p\right\rangle\,=k^{\mu}\left\langle
p\right.
\left|p\right\rangle\,=%
k^{\mu}.
Such expressions appear in textbooks and
papers but they are given a clearer interpretation in this model.
Using
this new approach to the problem, I will formulate the standard model as
a relativized model in a curved space time with a locally valid
graviton-Higgs interaction.
This interaction will lead to a renormalized
perturbation theory that can be summed up exactly to give the amplitude
of graviton-graviton interaction as approximately Cosh(p)Cosh(p).
I
will solve a Schrodinger equation for a gravitationally bound system and
get theoretical predictions relating to the thermodynamics of Planck
scale black holes.
Relativization has already provided a finite
quantitative prediction for the quantum corrections to the local
gravitational field, and gives results compatible with established black
hole thermodynamics.
Further research will certainly yield new insights.
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