Gaussian Physical States and Celestial Representation · Paper 7 · October 8, 2026

Dynamical Ill-Conditioning of a Faithful Celestial Representation

Cubic gravitational response and an adjoint-range obstruction in the physical radiative Bose sector

Zed James · DOI 10.5281/zenodo.23246260 ↗

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Research summary

Under an explicit uniform completion estimate, the completed retained celestial representation determines physical radiative Bose states uniquely, while the Riesz vector of a nonzero finite-regulator gravitational cubic lies outside the retained transform's adjoint range. The exact-range cubic is discontinuous in the retained Hilbert norm; it can be approximated on the physical unit ball only with necessarily diverging retained-space reconstruction norms.

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This paper belongs to the Gaussian Physical States & Celestial Representation research program.

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