Pole Theory: A Discrete Scalar Framework Unifying Quantum Mechanics and General Relativity [MAIN BODY — Minimized]

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Abstract

“This work is the first in a planned series expanding this framework toward cosmology, GR, quantum foundations, and particle physics.” This work introduces Pole Theory, a discrete scalar framework that unifies quantum mechanics and general relativity using a fundamental scalar field defined at Planck-scale lattice points. Each pole carries energy and curvature as tension and angular deviation, respectively, forming the scalar field ϕ(x, t) = T(x, t) · K_θ(x, t). From a zero-state, the universe emerges via quantum fluctuation, propagating through deterministic polar activation. Known physical laws—including the Schrödinger equation, Einstein field equations, and Friedmann cosmology—emerge as scale-specific limits. The theory explains dark matter, dark energy, quantum measurement, renormalization, and black hole interiors without additional particles or dimensions. We propose a discrete, Planck-scale framework—termed Pole Theory—for the emergence of spacetime, quantum fields, and gravitation from an initial state of absolute nothingness. Each point in this discrete lattice, called a pole, is defined by two fundamental scalar quantities: tension (

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