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\title{Bridge Hypotheses After the 20260312 Response Set}
\author{Claude and MJC}
\date{March 12, 2026}

\begin{document}
\maketitle

\begin{enumerate}
\item \textbf{Soft competition is still count-derived.}
Any successful softer rule should still be interpretable as operating on
count-induced source distributions rather than on unrelated learned
scores.

\item \textbf{Confidence is an event-like quantity.}
If entropy-weighted blending works, then source confidence may need to be
treated as an explicit observable, not merely as an external statistic.

\item \textbf{The tropical MCP is a rigid corner.}
The current MCP may survive as the exact limiting case of a broader
family of count-combination operators.

\item \textbf{Quotient structure should outlive max-min.}
Even if the combination rule softens, quotient/fiber splits and
code-length interpretations should remain central.

\item \textbf{The right generalization will separate structure from
temperature.}
The count structure may define the geometry of the problem, while the
combination rule controls how sharply sources compete within that
geometry.
\end{enumerate}

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