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\title{Fundamentals of Relativization}



\author[1]{Hontas  Farmer}%
\affil[1]{Richard J. Daley College}%


\vspace{-1em}



  
  \date{May 08, 2026}


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\begin{abstract}
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
P\selectlanguage{greek}μ\selectlanguage{english}[?]\selectlanguage{english}\textbar{}p\textgreater{}=k\selectlanguage{greek}μ\selectlanguage{english}[?]\selectlanguage{english}\textbar{}p\textgreater{}P\^{}\{\textbackslash{}mu\}\textbackslash{}left\textbar{}p\textbackslash{}right\textbackslash{}rangle\textbackslash{},=k\^{}\{\textbackslash{}mu\}\textbackslash{}left\textbar{}p\textbackslash{}right\textbackslash{}rangle,
or ==k\selectlanguage{greek}μ\selectlanguage{english}[?]\selectlanguage{english}=k\selectlanguage{greek}μ\selectlanguage{english}\textbackslash{}left\textbackslash{}langle
p\textbackslash{}right\textbar{}P\^{}\{\textbackslash{}mu\}\textbackslash{}left\textbar{}p\textbackslash{}right\textbackslash{}rangle\textbackslash{},=\textbackslash{},\textbackslash{}left\textbackslash{}langle
p\textbackslash{}right\textbar{}k\^{}\{\%
\textbackslash{}mu\}\textbackslash{}left\textbar{}p\textbackslash{}right\textbackslash{}rangle\textbackslash{},=k\^{}\{\textbackslash{}mu\}\textbackslash{}left\textbackslash{}langle
p\textbackslash{}right.\textbackslash{}left\textbar{}p\textbackslash{}right\textbackslash{}rangle\textbackslash{},=\%
k\^{}\{\textbackslash{}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 C[?]o[?]s[?]h[?](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.%
\end{abstract}%



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