What question did this study set out to answer?

To establish a rigorous connection between the deterministic pilot wave Ψ and the Schrödinger wave function ψ within the Absolute Frame Theory framework.

July 14, 2026Open Access

From the Pilot Wave Ψ to the Schrödinger Wave Function ψ: Dimensional Aliasing as the Bridge Between A and M in the Absolute Frame Theory

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Authors

PVPatricio E. ValenzuelaUniversidad de La Frontera

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Implication

Theoretical framework establishes a connection between pilot wave and Schrödinger equations, suggesting new insights into quantum behavior.

Key Points

To establish a rigorous connection between the deterministic pilot wave Ψ and the Schrödinger wave function ψ within the Absolute Frame Theory framework.
Derived a four-dimensional Klein–Gordon equation for ψ from the elliptic dynamics of Ψ in Absolute Frame A.
Applied Gleason's theorem to derive the Born rule for the position measure on M.
Respected identifiability constraints related to Gödel's incompleteness throughout the derivation.
The derived Klein–Gordon equation's effective mass spectrum is determined by the transverse geometry.
In the non-relativistic limit, the equation simplifies to the standard Schrödinger equation.
The Born rule |ψ(x)|² was established as the unique probability density consistent with empirical observations of quantum interference.

Cite This Study

Patricio E. Valenzuela (2026) studied this question.

synapsesocial.com/papers/6a55d11a5aafca87247f83f4 https://doi.org/10.5281/zenodo.21326607

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Implication

Theoretical framework establishes a connection between pilot wave and Schrödinger equations, suggesting new insights into quantum behavior.

From the Pilot Wave Ψ to the Schrödinger Wave Function ψ: Dimensional Aliasing as the Bridge Between A and M in the Absolute Frame Theory

Discussion

Member takes

Implication

Key Points

Cite This Study

From the Pilot Wave Ψ to the Schrödinger Wave Function ψ: Dimensional Aliasing as the Bridge Between A and M in the Absolute Frame Theory

Discussion

Member takes

Implication

Key Points

Cite This Study

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