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@@ -15,7 +15,7 @@
 \newcommand{\xmark}{\ding{55}} % ✗
 
 % Document version
-\newcommand{\docversion}{v24}
+\newcommand{\docversion}{v25}
 \newcommand{\docdate}{June 2025}
 \newcommand{\doctitle}{The Electromagnetic Force as Three-Dimensional Geometric Necessity: A Mathematical Identity}
 
@@ -74,4 +74,4 @@ We intentionally combine rigorous physics, philosophical reasoning, and document
 
 We could sanitize this story, presenting only the final mathematical result. But that would miss the larger truth: breakthrough insights often emerge from unconventional paths. A human who learned to question everything, AI systems that confidently reported imaginary results, and the collision between them that revealed a mathematical fact hiding in plain sight.
 
-What follows is structured from most to least objective. Section 2 presents the mathematical proof—verifiable by anyone with a calculator. Section 3 explores the philosophical journey that led to asking the right question. Section 4 documents the messy reality of human-AI collaboration. Each section could stand alone, but together they tell the complete story of how humanity discovered that electromagnetic force is not a fundamental interaction but a geometric requirement of existing in three-dimensional space.
\ No newline at end of file
+What follows is structured from most to least objective. Section 2 presents the mathematical proof—verifiable by anyone with a calculator. Section 3 explores the philosophical journey that led to asking the right question. Section 4 documents the messy reality of human-AI collaboration. Each section could stand alone, but together they tell the complete story of how humanity discovered that electromagnetic force is not a fundamental interaction but a geometric requirement of existing in three-dimensional space.