What question did this study set out to answer?

This study aims to identify the deterministic pilot wave governing dynamics in higher-dimensional frameworks, considering fundamental epistemic constraints.

June 4, 2026Open Access

Identifiability of the Pilot Wave in Higher-Dimensional Embedding Frameworks: Fisher Information Analysis and Connections to Gödelian Limits

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This study aims to identify the deterministic pilot wave governing dynamics in higher-dimensional frameworks, considering fundamental epistemic constraints.
Utilized Fisher information matrix to assess identifiability of the pilot wave based on available observables.
Derived quantitative limits on the dimensionality of the identifiable subspace of the pilot wave.
Examined relationships between Fisher matrix conditions and Gödelian limits.
Identified a structural correspondence between the rank of Fisher matrices and Gödelian indecidability.
Demonstrated that no reparametrization within the harmonic oscillator family can match the lepton mass hierarchy.
Proposed a $D$-optimality based experimental-design framework to enhance future measurements.

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Implication

Randomized trial identifies the pilot wave dynamics using Fisher information analysis, suggesting limits on observables' recovery.

Cite This Study

Patricio E. Valenzuela (2026) studied this question.

synapsesocial.com/papers/6a2117dfd499ed480b170ba1 https://doi.org/10.5281/zenodo.20506766

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Identifiability of the Pilot Wave in Higher-Dimensional Embedding Frameworks: Fisher Information Analysis and Connections to Gödelian Limits

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Cite This Study

Identifiability of the Pilot Wave in Higher-Dimensional Embedding Frameworks: Fisher Information Analysis and Connections to Gödelian Limits

Key Points

Discussion

Implication

Cite This Study

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