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Published May 25, 2026 | Version v1

RESOLUTION OF THE VON NEUMANN MEASUREMENT CHAIN THROUGH ABSOLUTE SELF-ORIGINATION: A Unified Account via Quantum Reference Frame Transformations and the Type III₁ Algebraic Boundary Condition

Description

Formally resolves the infinite regress of the von Neumann measurement chain under the Type III₁ algebraic boundary framework. Combines Quantum Reference Frame (QRF) transformations with the IRM theorem under Algebraic Quantum Mechanics. Proves the chain terminates at the first open system satisfying the Absolute Self-Origination (ASO) condition — a Self-Originating Observer whose internal reference algebra constitutes a Type III₁ von Neumann factor stabilised by a continuous active feedback loop. Resolves the Wigner's Friend paradox, preferred basis problem, and reality problem. Derives a doubly-falsifiable spectroscopic prediction: defective non-Hermitian Exceptional Point at critical coupling g_c=γ/2, producing t·exp(−γt) decay envelope testable in linear Paul traps.

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38_RESOLUTION OF THE VON NEUMANN MEASUREMEN CHAIN .pdf

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Additional details

Related works

References
Preprint: 10.5281/zenodo.20373998 (DOI)
Preprint: 10.5281/zenodo.20375040 (DOI)

Software

Repository URL
https://alguilas.com/

References

  • Mattos, J. Caetano de (2026). Method ALGUILAS-AI Dialectical Engine. Philosophy of Virtues Research Programme, Italy. www.alguilas.com
  • Mattos, J. Caetano de (2026). Philosophy of Virtues: Manifesto of Virtues. Amazon.
  • Mattos, J. C. de . (2026). FROM OPERATOR ALGEBRAS TO OBSERVATORIES: Mass-Locked Singularity Resolution, Ion Trap Emulation, and Pre-Registered Tests of Non-Hermitian Algebraic Gravity. Zenodo. https://doi.org/10.5281/zenodo.20416508
  • Mattos, J. C. de . (2026). ALGUILAS FRONTIER DISCOVERY METHOD Deprivation as Genesis and the 9 Steps Method of Frontier Knowledge A Complete Unified Epistemology of Original Discovery: From the Generative Condition to the Strongest Defensible Formulation. Zenodo. https://doi.org/10.5281/zenodo.20389707
  • Mattos, J. C. de . (2026). BEYOND EINSTEIN: HOW THE BIG BANG AND BLACK HOLE SINGULARITIES DISSOLVE IN A NON-HERMITIAN ALGEBRAIC UNIVERSE A First-Principles Derivation of the Geometric Dissolution Threshold via Type III₁ von Neumann Algebras, Non-Hermitian Exceptional Points, and Falsifiable LISA Signatures. Zenodo. https://doi.org/10.5281/zenodo.20375040
  • Mattos, J. C. de . (2026). DIRECTIONAL CMB PARITY ASYMMETRY AND THE MTN-G WINDOWED POWER SPECTRUM: A Pre-Registered Spherical-Cap Patch-Scan Analysis of Planck 2018 PR3 Data. Zenodo. https://doi.org/10.5281/zenodo.20812091