Resonance Theory of Everything (RToE) v1.9.2: 4D Invariants and the Nature of Dark Energy. This version establishes a definitive physical link between subatomic geometry and cosmological expansion, transforming Dark Energy from a mathematical abstraction into a dynamic phase process. Key Scientific Highlights (EN): The Invariant "4": The coefficient 4 in the proton radius formula is revealed as a physical root cause—a topological invariant linking the 4D hypersphere to our 3D projection. Proton Radius Solved: A rigorous derivation yielding 0.841236 fm, matching current experimental benchmarks through 4D-hypersoliton geometry. Dark Energy Decoded: Dark Energy is identified as the phase pressure resulting from matter extracting energy from the vacuum. Accelerated expansion is the adiabatic reaction of the 4D-bubble to this "consumption." Vacuum Catastrophe Resolution: A coherent filtration mechanism explains why chaotic vacuum noise remains gravitationally inert, while only ordered resonances (matter) affect the metric. Quantum Geometry:--- Spin: Topological phase vortex within the resonance.--- Charge: Vacuum mode phase pressure gradient.--- Entanglement: Manifestation of a shared 4D wave mode. Antimatter: Defined as a-phase inversion of the primary 4D resonance.
Евгений Земцов (Thu,) studied this question.