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To navigate the 88-paper corpus contained in this archive, one must first understand the structural geometry of existence. We can approach this through a computational allegory: Imagine an infinite, timeless Source of all Codes. This is the Abstraction axis—the mathematical Ground containing every possible structure, axiom, and truth. However, a Code cannot simply “exist.” To actualize, it must pass through an Algorithm Filter. This filter is the Golden Rule of Structural Rationalism: a code must possess a stable Scalar Drive and a bounding Tensorial Constraint to survive projection. It must break its own symmetry to individuate. What we experience as physical reality—the Actualized Program—is the localized, running execution of this filtered subset. It is the Contingent axis. The mathematical establishment has spent centuries studying the running program, trapped in a “Cult of Pure Symmetry,” assuming the program is perfectly closed. This corpus maps the Interface between the Source Code and the Filter. It diagnoses the category errors that arise when we forget we are looking at a localized projection, and it provides the geometry that allows the program to run.
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Theriault et al. (2026) studied this question.
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