Unipolar Emergence in the Quantahedron Lattice: Geometric Foundations of Duality from a Central Null State
Abstract
Unipolar Emergence in the Quantahedron Lattice: Geometric Foundations of Duality from a Central Null State introduces a geometric framework in which polarity arises as a symmetric excitation of a unified substrate rather than an ontologically independent dual structure. Using the two-dimensional projection of the Quantahedron — a normalized quanta lattice constrained by the simplex relation |Vx| + |Vy| = 1 the work demonstrates that apparent positive and negative domains form mirrored probability manifolds converging at a central null state. Within this geometry, duality is reinterpreted as a phase reflection embedded in a single conserved manifold The paper develops the concept of unipolar ontology, showing that: zero functions as a generative symmetry reference, polarity emerges through reflection symmetry, probability distributions are bounded by simplex normalization, macroscopic dual phenomena can be understood as geometric deformations of the underlying lattice. Connections are drawn to positive geometry approaches (e.g., amplituhedron), quantum vacuum symmetry, and particle–antiparticle duality, positioning the Quantahedron as a conceptual bridge between geometric physics, probability geometry, and emergent phenomenology. This work contributes to geometry-first unification programs by reframing duality, binary logic, and polarity as manifestations of conserved null-centered geometry rather than independent physical primitives.
Fields of Study & Subjects
Advanced Mathematical Theories and Applications
Relativity and Gravitational Theory
Noncommutative and Quantum Gravity Theories
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 26 February 2026
- Language
- EN