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Cubic Vacuum Triality: A Toy Model of Everything with Zero Free Parameters

by Yuxuan Zhang, Weitong Hu, and Wei Zhang

Posted: December 9, 2025
Server: Preprints.org
DOI: 10.20944/preprints202512.0873.v1

We propose a highly speculative "toy model of everything" based on the finite-dimensional Z3-graded Lie superalgebra with cubic vacuum triality introduced in Ref. [1]. Interpreting the grade-2 sector as the physical vacuum carrying an invariant cubic form, we derive—purely from algebraic constraints and representation theory—the essential features of particle physics, cosmology, gravity, black holes, and quantum entanglement, with literally zero free parameters. While awaiting experimental tests, this framework illustrates the unifying potential of ternary vacuum symmetries beyond conventional Z2 supersymmetry.

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