SUFT-11: An Eleven-Dimensional Scale-Dual Unified Field Theory —A Geometric Framework for Cosmic Scale Duality

Abstract

We present an eleven-dimensional unified field theory (SUFT-11) based on scale duality between microscopic compression and macroscopic expansion. The framework addresses the cosmological constant problem at leading order through geometric constraints corresponding to Z2 discrete symmetry, while generating testable predictions for CMB power spectrum ratios, fine-structure constant evolution, and cosmic phase transitions. Theory Position Statement: The current version of SUFT-11 is a mathematically self-consistent phenomenological geometric framework. The core rigorous content is limited to: (1) eleven-dimensional scale hierarchy structure; (2) Z2 duality constraint as gauge-fixing condition; (3) analytic proof of Ricci flatness. Extensions to gauge field completion, matter field coupling, electromagnetic unification, and Standard Model embedding are identified as conceptual pathways but have not yet achieved equivalent mathematical rigor, explicitly listed as future work. Enhanced Near-Term Testability: This paper explicitly provides 10–30 year testability windows—the temporal evolution form of α drift (sech2 phase transition dynamics) can be falsified or confirmed by next-generation atomic clocks in the 2030s–2040s; CMB-S4 (2029) can distinguish the topological prediction from the Standard Model.

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