What question did this study set out to answer?

To resolve the quantum measurement problem deterministically by modeling particles and instruments as geometric wave signatures interacting in discrete foam.

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 analysis reveals deterministic wavefunction dynamics in discrete foam, demonstrating a geometric derivation of the Born rule.

Key Points

To resolve the quantum measurement problem deterministically by modeling particles and instruments as geometric wave signatures interacting in discrete foam.
Applied the Relational Geometric Mechanics (RGM) framework and Postulate 3 to define particles and measurement apparatuses as spatially extended wave disturbances.
Derived the Born rule from local energy density distributions at interference nodes.
Executed direct computational simulations in the RGM collider engine to test CHSH Bell inequality correlations.
Demonstrated that measurement is localized constructive interference crossing a binding threshold rather than non-physical wavefunction collapse.
Derived the Born rule by establishing that measurement outcome probability is proportional to local foam energy density |W_e(x)|².
Reproduced the CHSH correlation Tsirelson bound (|S| = 2√2) to 99.98% precision in numerical simulations.

Cite This Study

Timothy Gleason (2026) studied this question.

synapsesocial.com/papers/6a7ec775b70b84ec8b913cf1 https://doi.org/10.5281/zenodo.21901953

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

Discussion

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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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