Kernel Universality and Sector-Projection Consistency in the Axis Model: A Sector-by-Sector Identifiability and Existence Analysis with No New Inputs
Andrew Morton · Public preprint · Kernel identifiability and compatibility
Clarifies how sector-specific response measurements constrain an underlying kernel.
Research summary
Sector-specific measurements constrain projected parts of a response kernel. This paper examines which information those projections preserve and formulates compatibility as the existence of a positive-definite kernel satisfying the declared constraints. Its toy examples illustrate the mathematics of nonunique reconstruction.
Scope
Projected data generally leave the full kernel nonunique. A physical application requires independently established source normalization, sector definitions and matching data. Existence of a shared physical kernel remains a separate question.
Paper and supporting files
The manuscript is available on Zenodo.
Read the current paper and supporting files on Zenodo
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