01 / Problem
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Paper 021 / June 13, 2026
Observational Equivalence Classes in Maxwell-Compatible Projection Theories
When different fifth-dimensional stories predict the same four-dimensional data
01 / Abstract
Abstract
The twelve-branch projection tree deliberately permits multiple five-dimensional narratives. This paper classifies when those narratives are observationally equivalent at the four-dimensional level. Two models are equivalent relative to an experiment if their predicted distributions over observables match after nuisance marginalization. The result is a quotient map from speculative branches to measurable operator families.
02 / Frame
Research Frame
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\[
M_a \sim_E M_b \quad \Longleftrightarrow \quad
d\left(P_E(y\mid M_a),P_E(y\mid M_b)\right) < \epsilon_E .
\]
\[
\mathcal{Q}_E = \mathcal{M}/\sim_E,
\]
03 / Structure
Paper Structure
The manuscript follows the JMP0X1B discipline: state the problem, formalize the model, name the claims, and publish enough source material for review and revision.
02 / Model
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03 / Claims
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04 / Evidence Plan
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04 / Files
Paper Files
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