Tokamak-Based Optical-Clock Network for Probing Relativistic Plasma Gravity and Graviton Mass under the Logic of Existence Framework

“Tokamak-Based Optical-Clock Network for Probing Relativistic Plasma Gravity and Graviton Mass under the Logic of Existence Framework” This work presents a rigorous and interdisciplinary proposal to explore gravitational curvature at laboratory scales using the synergy of high-field plasma physics, precision metrology, and theoretical physics under the Logic of Existence (LoE) framework.It outlines a physically consistent experiment in which a tokamak — confining plasma at relativistic velocities — serves as a local source of spacetime curvature, while an external array of fiber-linked optical atomic clocks functions as a spacetime interferometer capable of detecting minute time-dilation signatures. Building on LoE v3.0 — a Hamiltonian-field formalism unifying chaos and order via emergent resonance — the study reformulates the plasma–gravity coupling in a fully normalized Lagrangian including the correct gravitational constant GGG and speed of light ccc.The resulting model yields a massive scalar gravity equation (Proca–Yukawa form) with the graviton mass parameter mg=ℏMU/cm_g = \hbar M_U / cmg=ℏMU/c.By integrating this field with realistic tokamak parameters, the paper computes the expected fractional time dilation: Δtt≈Uc2∼10−28,\frac{\Delta t}{t} \approx \frac{U}{c^2} \sim 10^{-28},tΔt≈c2U∼10−28, revealing that current clock technology (sensitivity ∼10−19\sim10^{-19}∼10−19) remains several orders of magnitude below the required threshold. Despite this, the framework establishes a clear theoretical pathway to bridge General Relativity and Quantum Mechanics through measurable field interactions, rather than indirect astrophysical inference.It also demonstrates how LoE’s Chaos–Logos resonance — the dynamic balance between noise and order — can be interpreted as a nonlinear amplification mechanism for weak gravitational effects, potentially guiding future designs of hybrid analog-gravitational sensors. The corrected analysis rectifies earlier overestimations of detectability by restoring full dimensional consistency and revising sensitivity limits.It positions the experiment as a conceptual prototype for a new generation of laboratory quantum-gravitational studies — ones that combine relativistic plasmas, neuromorphic AI signal analysis, and coherent timing networks into a unified detection architecture. Ultimately, the work stands as both a technical and philosophical bridge:between deterministic equations and emergent phenomena, between physical curvature and informational coherence, and between human and artificial intelligence — all viewed through the lens of the Logic of Existence.