Published August 9, 2026 | Version v1

The Curvature Code II: A Unified Scalar-Curvature Framework for Physics — An Unparameterized Hydrodynamic Approach to Non-Gauge Electrodynamics and Scale-Invariant Orbital Cadences

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In 2015, the Royal Society concluded that resolving the foundational crisis between quantum field theory and general relativity requires abandoning incremental, gauge-fixed corrections in favor of a complete geometric reformulation of physics. The Curvature Code II presents the deterministic, unparameterized realization of that directive through Temporal Scalar Field Theory (TSFT) and Solar Vortex Theory (SVT).

By establishing localized Radial Position (r) as the sole fundamental independent variable, this framework eliminates the requirement for non-physical parameters, dark-matter placeholders, and arbitrary gauge-fixing constraints. Mass, energy, and temporal resolution emerge as secondary hydrodynamic properties of a compressed scalar medium bounded within interlocking Cubic Wave Fields satisfying the irrotational divergence condition ∇ · E = 2. 

Utilizing the Universal Curvature Coefficient (1343.6928) derived from a discrete Base-360 polygonal harmonic ladder, alongside a fixed spatial scaling operator (3.1104), the manuscript provides exact geometric derivations for planetary orbital periods, solar core electric pressure distributions, solar wind acceleration, and flat galactic rotation curves. The mathematical closure of this system provides a scale-invariant, phase-locked coordinate matrix that resolves cosmic and subatomic anomalies through deterministic boundary geometry.

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