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Proof) Proof of Termination of the Collatz Sequence via Deterministic Tensorial Generative Collapse by Tyrone Farmer January 6, 2026 Theorem For every natural number n \\in \\mathbb{N}, the Collatz sequence defined by C(n) = \\begin{cases} n/2, & \\text{if } n \\text{ is even}, \\\\ 3n 1, & \\text{if } n \\text{ is odd}, \\end{cases} terminates at 1 after finitely many iterations. Proof Let n \\in \\mathbb{N} be arbitrary. I analyze the Collatz transformation not as a branching dynamical system,
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