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July 27, 2026Open Access

On the Derivation of 11-Dimensional Supergravity from Modular Quantum Flag Manifold Algebra via Algebraic Closure Constraints

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Randomized trial demonstrates algebraic foundations for 11-dimensional supergravity, suggesting intrinsic consistency in M-theory.

This study aims to derive 11-dimensional supergravity from modular quantum flag manifold algebra, providing a mathematical foundation for M-theory.
Established three axioms: spectral inversion symmetry, skew-dual tangent bundle decomposition, and noncommutative spectral action principle.
Solved the isometry group and generator counts using Chevalley–Eilenberg cohomology and cocycle obstruction conditions.
Reproduced the low-energy Lagrangian via Seeley–deWitt heat kernel expansion with precision in prefactor normalization.
Identified the isometry group SO(1,10) uniquely based on cocycle conditions.
Confirmed the number of maximal supersymmetry charges is 32, constrained by modular grading.
Reproduced the full low-energy Lagrangian, including specific topological factors derived through rigorous techniques.

Zheng Xinyu (2026) studied this question.

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