What question did this study set out to answer?

Formulate a deterministic, geometric resolution to the quantum measurement problem and derive the Born rule within the Relational Geometric Mechanics framework.

August 14, 2026Open Access

Relational Geometric Mechanics XXVIII: A Deterministic, Geometric Resolution of the Quantum Measurement Problem - Wavefunction Collapse as Constructive Interference on a Discrete Foam

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TGTimothy Gleason

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Implication

Theoretical model demonstrates deterministic quantum measurement through constructive interference on discrete foam, indicating wavefunction collapse emerges from local geometric energy density.

Key Points

Formulate a deterministic, geometric resolution to the quantum measurement problem and derive the Born rule within the Relational Geometric Mechanics framework.
Applied Relational Geometric Mechanics Postulate 3 to model quantum particles and measuring instruments as spatially extended wave signatures interacting within a discrete foam.
Evaluated quantum entanglement and computed Clauser-Horne-Shimony-Holt (CHSH) correlation bounds using the computational RGM collider engine.
Demonstrated that measurement is a threshold-crossing constructive interference event between wave signatures rather than physical wavefunction collapse.
Derived the Born rule directly from local foam disturbance energy density where interaction probability is proportional to local energy density.
Reproduced the quantum mechanical CHSH correlation Tsirelson bound of |S| = 2√2 to 99.98% precision in direct computation.

Cite This Study

Timothy Gleason (2026) studied this question.

synapsesocial.com/papers/6a7ee587b70b84ec8b914730 https://doi.org/10.5281/zenodo.21901952

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Implication

Theoretical model demonstrates deterministic quantum measurement through constructive interference on discrete foam, indicating wavefunction collapse emerges from local geometric energy density.

Relational Geometric Mechanics XXVIII: A Deterministic, Geometric Resolution of the Quantum Measurement Problem - Wavefunction Collapse as Constructive Interference on a Discrete Foam

Discussion

Member takes

Implication

Key Points

Cite This Study

Relational Geometric Mechanics XXVIII: A Deterministic, Geometric Resolution of the Quantum Measurement Problem - Wavefunction Collapse as Constructive Interference on a Discrete Foam

Discussion

Member takes

Implication

Key Points

Cite This Study

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