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This study aims to identify the deterministic pilot wave in higher-dimensional substratum while addressing epistemic constraints.

July 12, 2026Open Access

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

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Randomized trial analyzes identifiability of pilot wave dynamics in higher-dimensional frameworks, suggesting operational limits of access.

This study aims to identify the deterministic pilot wave in higher-dimensional substratum while addressing epistemic constraints.
Employs Fisher information matrix for system identification of observables within a four-dimensional manifold
Analyzes the coherence bound, quantum fisher information, and leptonic mass spectrum
Proposes an experimental design based on D-optimality for future measurements.
Identified limitations on the rank of the Fisher matrix based on independent observables
No reparametrization within harmonic-oscillator models can reproduce lepton mass hierarchies
The correspondence between Fisher matrix properties and Gödelian undecidability is proposed for future exploration.

Patricio E. Valenzuela (2026) studied this question.

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Randomized trial analyzes identifiability of pilot wave dynamics in higher-dimensional frameworks, suggesting operational limits of access.