Force Line 4: Experimental Confirmation of Force-Line Geometry Through Single-Molecule Spin Switching - Weber

This fourth entry in the Force Line Theory series marks a pivotal turning point: speculation bends toward confirmation. Force Line Theory (FLT) proposes that charge, spin, and gravity are bound together by a deeper geometric structure of force-lines — deterministic field geometries that generate charge localization, spin configurations, and ultimately gravitational resonance. In this paper, I integrate the groundbreaking experimental work of Huang et al. (Nature Communications, 2025), who achieved an electrically controlled single-molecule spin switch in a bistable Fe–FePc complex on MgO. Their measurements — spanning STM, IETS, DFT, and ESR-STM — reveal direct, reversible control of spin and charge at the molecular scale. Crucially, this aligns precisely with FLT’s predictions: Local electric-field geometry (force-lines) governs spin states. Spin geometry in turn locks in charge distribution. Force-line manipulation is not theoretical abstraction, but now a demonstrated laboratory reality. I formalize this alignment with a minimal many-body Hamiltonian and a force-line functional that explains bistability, spin-conditioned charge density, and switching thresholds, while predicting new experimental tests. Highlights✅ Direct evidence that force-line geometry dictates spin and charge.✅ ESR-STM results confirm field-controlled determinism at the quantum level.✅ Predictions for waveform dependence, local field mapping, qubit spectroscopy, and thermal thresholds.✅ A landmark bridge between theoretical physics and experimental spintronics. This paper is more than validation: it signals a paradigm shift. What mainstream physics calls an “electrical spin switch” is, in truth, the first experimental proof that force-lines are real, manipulable, and foundational to quantum systems. Note from RJW My readers are welcome to reach out and contact me. If we work together, we can push Force Line Theory further — transforming it from a speculative framework into mainstream physics with massive proofs. Together we are stronger than our individual selves. What we have here is just the beginning of elegance. Let us make the work of Albers and so many others bold, and something they can be proud of throughout time and space. Robert J. Weber📧 [e-mail] P.S. Thank you for reading.