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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19201231 |
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Table of Contents:
- <blockquote> <p dir="ltr">This paper investigates the microscopic origin of the gravitational coupling constant G_N through the lens of Algebraic Quantum Field Theory (AQFT) and subfactor theory. Building on the foundation laid in GFI Paper 34, we demonstrate that the graviton spectral gap is uniquely determined by the Jones index [\mathcal{M}_0 : \mathcal{N}_0] = 2 of the modular inclusion.</p> <p dir="ltr">The central result of this work is the formal derivation of the "Spectral Bridge," which provides a rigorous distinction between axial (V) and polar (JV) graviton polarizations. We show that the symmetry breaking between these modes, governed by the J modular isometry, is the fundamental mechanism behind gravitational attraction. By mapping these algebraic structures to the linearized Einstein equations in Schwarzschild and Kerr backgrounds, we establish that G_N is a spectral invariant arising from the rigidity of the vacuum state. This framework provides a new pathway for understanding quantum gravity as a manifestation of operator algebra constraints.</p> </blockquote>