What does this research mean for the field?

Within Quantum Wavespace Theory, the Madelung-Bohm quantum potential physically originates from the gradient energy of the wavespace pattern, leading to a nonlinear modification that is negligible in atomic physics but significant within nucleon cores. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

This work aims to clarify the physical origin of the quantum potential in the context of Quantum Wavespace Theory.

June 13, 2026Open Access

The Quantum Potential as the Gradient Energy of Wavespace: A Physical Origin for the Madelung–Bohm Term in the Lohmiller–Slotine / Vattay Dispute

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This work aims to clarify the physical origin of the quantum potential in the context of Quantum Wavespace Theory.
Introduced Quantum Wavespace Theory (QWST) based on finite propagation speed and saturation density.
Applied the Madelung decomposition to QWST Lagrangian to derive the quantum potential.
Analyzed the implications of the saturation constraint on the Madelung–Bohm equation.
Identified the quantum potential as the gradient energy of the wavespace pattern in polar coordinates.
Showed that the correction to the Madelung–Bohm equation is negligible in atomic physics yet significant within nucleon cores.
Validated the saturation scale with reported internal pressure of protons, approximating ~10³⁵ Pa.

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Implication

Theory demonstrates the physical origin of the quantum potential in a new framework, implying insights into quantum mechanics.

Cite This Study

David Schmitz (2026) studied this question.

synapsesocial.com/papers/6a2cf665faef96ed7f058150 https://doi.org/10.5281/zenodo.20643895

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The Quantum Potential as the Gradient Energy of Wavespace: A Physical Origin for the Madelung–Bohm Term in the Lohmiller–Slotine / Vattay Dispute

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Discussion

Implication

Cite This Study

The Quantum Potential as the Gradient Energy of Wavespace: A Physical Origin for the Madelung–Bohm Term in the Lohmiller–Slotine / Vattay Dispute

Key Points

Discussion

Implication

Cite This Study

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