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Conceptual Machinery
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Throwing the Game.pdf

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Throwing-the-game.tex

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\documentclass[11pt]{article}
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% Packages
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\usepackage[T1]{fontenc}
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\usepackage{lmodern}
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\usepackage{fontspec}
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\setmainfont{Latin Modern Roman}
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\usepackage{geometry}
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\usepackage{microtype}
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\usepackage{setspace}
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This criterion does not solve the classical Turing halting problem, nor does it attempt to. Instead, it reframes halting for agents embedded in event-driven worlds.
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Classical computation halts when no further state transitions are defined. Spherepop halts when no further *meaningful* transitions are possible—when the agent’s world has become invariant under its own transformations.
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Classical computation halts when no further state transitions are defined. Spherepop halts when no further \emph{meaningful} transitions are possible—when the agent’s world has become invariant under its own transformations.
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In this sense, Spherepop replaces undecidable halting with a decidable stabilization condition relative to a given event algebra.
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