Quantum Fluctuations from a Metric Perspective: Proof of the Quantitative Conjecture

Q: What does this research mean for the field?

The quantitative conjecture is proven by demonstrating that the relative correction to Θτ in the Green-Kubo action of a collective metric phase with equilibrium overdamped dynamics strictly satisfies the bounds 0 < 1 - I_0(b)^{-2} < 1. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

Wang Kianming

doi:10.5281/zenodo.22513703

September 6, 2026Open Access

Quantum Fluctuations from a Metric Perspective: Proof of the Quantitative Conjecture

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Key Points

To calculate the Green–Kubo action of a collective metric phase under equilibrium overdamped dynamics and prove the associated quantitative conjecture.
Modeled equilibrium overdamped dynamics under a cosine potential defined as V_k(φ) = k(1 - cos φ).
Applied a global observable normalization F_k = V_k' / √(2k) and solved the associated periodic Poisson equation.
Derived the exact analytical Green–Kubo action expression 𝒜_b = Θτ[1 - I_0(b)^(-2)], where b = k/Θ and τ = Γ/k.
Established strict mathematical bounds on the relative correction to Θτ, confirming the quantitative conjecture.

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Implication

Theoretical analysis demonstrates exact Green-Kubo action bounds in collective metric phase systems, proving the quantitative conjecture for overdamped dynamics.

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Wang Kianming (2026) studied this question.

synapsesocial.com/papers/6a9fd76758e84d0ff5b46107 https://doi.org/10.5281/zenodo.22513703

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Quantum Fluctuations from a Metric Perspective: Proof of the Quantitative Conjecture

Key Points

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Implication

Discussion

Cite This Study

Quantum Fluctuations from a Metric Perspective: Proof of the Quantitative Conjecture

Key Points

No abstract yet

Implication

Discussion

Cite This Study

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