Electrochemistry as Geometry

Electrochemistry is taught as a collection of rules, reduction potentials, half-reactions, Nernst equations, with the actual mechanism buried or assumed. This paper throws that out and starts from geometry. Charge doesn't flow because of mysterious electronegativity rankings. It flows because the substrate has a tension gradient, and charge follows the path of least geometric resistance, exactly the same way a stretched membrane snaps toward the lowest-tension zone. Voltage is that tension gradient. Current is the rate at which the substrate is releasing that tension. Electrodes are geometry anchors that pin the field shape. Electrolytes are the medium that transmits tension across a gap. Redox at the electrode surface is tension exchange, not electron bookkeeping. EM fields deviate from straight lines because the substrate geometry is bent. When the geometry breaks — contaminated electrodes, depleted electrolyte, corroded surfaces — the tension routing fails and the chemistry dies. Fix the geometry, fix the chemistry. That's the whole paper. This work is part of a larger collection of UST documents. The other versions available in the DOI record are not revisions of this document. They are separate papers written for different purposes. Some versions present the full mathematical proofs behind the update rules, others provide a technical physical description of substrate behavior, and others are formal proof papers built around the Universal Balance Laws. Together, these documents form a complete set: a plain‑language booklet, a physical description paper, and full mathematical proof papers, each offering a different perspective on the same underlying theory. If you have questions or want to discuss the work, you can contact me directly at dustin@unifiedsubstratetheory.com Don't be shy. I want to discuss science. It is fun and should be. Reachout and lets get started on new discoveries.