[2025] Unified Quantization Principle: GR, SR, and QM as Quantized Deployments of Binary Quanta

\documentclass[12pt,letterpaper]{article}
\usepackage[margin=1in]{geometry}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{lmodern}
\usepackage{amsmath,amssymb}
\usepackage{hyperref}
\hypersetup{colorlinks=true, linkcolor=blue, urlcolor=blue, citecolor=blue}

\title{Unified Quantization Principle:\\
GR, SR, and QM as Quantized Deployments of Binary Quanta}
\author{John C. W. McKinley\\Independent Researcher\\Orcid 0009-0005-7097-5035\\Doi:10.5281/zenodo.16913967}
\date{August 20, 2025}

\begin{document}
\maketitle

\begin{abstract}
Standard practice treats quantum phenomena as discrete while modeling General Relativity as a smooth continuum. The Unified Quantization Principle (UQP) states: all of physics is quantized at base; GR, SR, and QM are different domain views of the same binary instruction layer. Curvature, frames, and state transfer are rendered from discrete toggles that pair emission with absorption in a timeless Quantum Platform (QP). The continuum is an experiential large scale limit. We outline falsifiable tests that can confirm or constrain this claim.
\end{abstract}

\section{Statement of the Law}
\textbf{Unified Quantization Principle (UQP).} \emph{Every physical effect is a quantized deployment of binary quanta. QM describes quanta of state transfer, SR describes quanta of frame relations, and GR describes quanta of delay (curvature). The spacetime continuum is the coarse grained limit of these toggles.}

Corollary: no orphan emissions. Emission occurs iff absorption is available. There is no quantum ``in transit'' between 0 (emitter) and 1 (absorber).

\section{Interpretation}
\begin{itemize}
  \item \textbf{QM as quanta of transfer.} Location is a binary choice: 0 at emitter or 1 at absorber. What appears as propagation is the spacetime rendering of a resolved pairing.
  \item \textbf{SR as quanta of frames.} Relative motion and simultaneity shifts are aggregated outcomes of discrete frame toggles that bound causal order.
  \item \textbf{GR as quanta of delay.} Proper time and curvature are aggregates of discrete delay increments. The metric \(g_{\mu\nu}\) is the continuum limit of a large number of delay quanta.
\end{itemize}

\section{Distinctive Consequences}
\begin{itemize}
  \item Timeless pairing explains why quanta do not require a rest frame or proper time to ``wait.'' 
  \item Curvature is not a substance but an accounting of accumulated delay quanta. 
  \item The smoothness of spacetime is a law of large numbers limit, not a fundamental continuum.
\end{itemize}

\section{Falsifiable Tests}
\subsection{T1. Quantum optics null test (binary emission)}
Lock the local density of optical states for a single photon emitter (Purcell factor fixed). Place a remote absorber behind optical isolators so no classical feedback reaches the source.

\textbf{Standard prediction:} Lifetime and linewidth are independent of the remote absorber.

\textbf{UQP prediction:} With no absorber, emission is suppressed. Enabling a remote absorber permits emission. A statistically significant change in emission rate or linewidth when the absorber is toggled supports UQP; a strict null within experimental bounds constrains the binary pairing claim.

\subsection{T2. Quantized GR residuals with optical lattice clocks}
Continuously vary the gravitational potential of one ultra stable optical clock relative to another by a controlled height change. Record fractional frequency shift \( \Delta f / f \) over time.

\textbf{Standard prediction:} A smooth trace consistent with \( \Delta f / f \approx gh/c^2 \) plus known technical noise.

\textbf{UQP prediction:} Small, step like clustering consistent with discrete delay increments. Analysis target: statistically significant excess kurtosis and hidden Markov step transitions in the residuals after removing the smooth GR model. A clean null down to a specified Allan deviation threshold bounds the minimum size of any delay quantum.

\subsection{T3. Gravitational wave phase micro steps}
Analyze compact binary coalescence waveforms for discrete phase step residuals after standard GR template subtraction.

\textbf{Standard prediction:} Residuals are consistent with instrument noise.

\textbf{UQP prediction:} Weak but correlated phase plateaus or micro steps across detectors, indicative of quantized delay accumulation. Absence within set sensitivity places upper bounds on any GR quantization step.

\section{Conclusion}
UQP compresses GR, SR, and QM into one rule: all are quantized deployments of binary toggles rendered by a timeless QP. The three tests above differentiate UQP from orthodox expectations. Positive detections support a quantized substrate for spacetime; strong nulls constrain or refute the principle at the tested scales.

\end{document}