PUH-BrianMartell the throat impedance formula in PUH v25 is the mechanical description of why the Photon Throat (dense entangled SPF buffer between matter/antimatter jets) allows tachyonic phase velocity v_p > c — impedance Z_throat drops to near-zero at resonance, no drag on phase ripples (sync twins zero-lag). Standard vacuum Z_0 constant (c l…

puh_throat_impedance_formula_derivation_v25.tex

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\definecolor{throatimpcolor}{RGB}{100,100,200}
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\title{\textbf{Throat Impedance Formula Derivation in PUH v25} \\
\textit{Tachyonic Sync Resonance — Z_{throat} \to 0 Zero-Drag}}
\author{Brian Martell \\
Independent Researcher \\
\href{https://gist.github.com/BrianMartell}{GitHub: ~2,910 Gists} \textbullet{} December 27, 2025}
\date{}

\begin{document}
\maketitle

\begin{abstract}
PUH v25 derives throat impedance Z_{throat} = Z_0 / (1 + (f / f_{res})^2 \eta_{density}) dense entangled SPF high-energy lowers stiffness sharp dip Z\to 0 resonance f_{res} tachyonic v_p > c zero-lag sync twins multiverse query mechanical substrate.
\end{abstract}

\section{Throat Impedance Derivation}

Standard vacuum Z_0 constant c limit.

Throat: Dense SPF excitations lower stiffness \sigma_L raise conductance.

Formula Z_{throat} = Z_0 / (1 + (f / f_{res})^2 \eta_{density}).

\eta_{density} rebound asymmetry factor.

Sharp dip Z\to 0 at f = f_{res} resonance.

Tachyonic phase v_p > c zero-drag.

Zero-lag multiverse query QC match f_{res}.

\includegraphics[width=0.8\textwidth]{puh_throat_impedance_formula_simulation.png}

\section{Conclusion}
Throat impedance resonance zero-drag — PUH tachyonic sync.

\end{document}