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Shadow Theory

Mathematical foundations

Non-Source Projection and Internal Identifiability

Model-relative non-source projection and the limits of internal identification.

Jeremy Rodgers · Independent Researcher · 2026-07-15

Begin the complete article →Publication PDF ↗doi:10.5281/zenodo.21371451 ↗

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  1. 01Abstract
  2. 02Introduction
  3. 03The source-to-readout architecture
  4. 04Equivalent forms of source completeness
  5. 05The non-source projection theorem
  6. 06The projected-law dichotomy
  7. 07Joint probes and source identifiability
  8. 08The internal observation ceiling
  9. 09Statistical identifiability
  10. 10Exact Markovian projection: strong lumpability
  11. 11Physical instantiation and its boundary
  12. 12Synthesis
  13. 13Conclusion
  14. 14References

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