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BB-NLQT-HR1-E gauge-quotient principal-symbol calculation

This repository contains the exact recurrence proof and supporting numerical construction for the frozen HR1-E off-shell density tower.

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  • Result: HR1-PS-C — at an allowed exterior point, four physical transverse vector modes lose their second-order principal symbol and the ten-dimensional physical quotient has rank six.
  • Decision: Reject generic exterior perturbative health for the frozen HR1-E density realization. The spherical and maximally symmetric published controls are not invalidated.
  • Scope: No operator domain or nonlocal contour can restore an absent local principal part; this result is specific to the frozen off-shell tower.
  • Contents: Exact vector identity, recurrence proof, symbol construction, requirements, scientific result, and machine-readable record.

The decisive result is the exact infinite-sum cancellation documented in RESULTS.md, not a small finite-truncation number.

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Exact gauge-quotient principal-symbol calculation finding four physical vector modes without a local principal part.

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