What question did this study set out to answer?

To provide a formal proof of the Feynman Path Integral Convergence Conjecture within the Helical Hidden Holographic Quantum Mechanics (H3QM) framework.

August 5, 2026Open Access

Solution to the Feynman Path Integral Convergence Conjecture: The Sobolev Geodesic Field Module within Helical Hidden Holographic Quantum Mechanics (H3QM)

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Authors

CCChou CosmoHousing Quality Network (United Kingdom)

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Implication

Theoretical framework resolves Feynman path integral convergence in quantum mechanics, indicating significant implications for quantum field theory.

Key Points

To provide a formal proof of the Feynman Path Integral Convergence Conjecture within the Helical Hidden Holographic Quantum Mechanics (H3QM) framework.
Formulated the Infinite 2D Slicing Paradox to demonstrate divergences in space and time.
Utilized Matroid Hodge Decomposition to restrict field variations to Betti harmonic space.
Mapped oscillatory phase to a Lipschitz-continuous topological potential using Wasserstein duality.
Proven that subgradient dynamical flow converges in 5 to 8 steps to a unique topological attractor.
Numerical benchmarks confirm the model by evaluating the quantum harmonic oscillator ground state energy at 1.000000 eV.

Cite This Study

Chou Cosmo (2026) studied this question.

synapsesocial.com/papers/6a72e831226790f370657cb5 https://doi.org/10.5281/zenodo.21776138

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Implication

Theoretical framework resolves Feynman path integral convergence in quantum mechanics, indicating significant implications for quantum field theory.

Solution to the Feynman Path Integral Convergence Conjecture: The Sobolev Geodesic Field Module within Helical Hidden Holographic Quantum Mechanics (H3QM)

Discussion

Member takes

Implication

Key Points

Cite This Study

Solution to the Feynman Path Integral Convergence Conjecture: The Sobolev Geodesic Field Module within Helical Hidden Holographic Quantum Mechanics (H3QM)

Discussion

Member takes

Implication

Key Points

Cite This Study

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