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Foundations of the Existence Threshold: The Scholarly Collection

Foundations of the Existence Threshold: The Scholarly Collection

Paperback

PhilosophyGeneral MathematicsGeneral Science

Publisher Price: $28.99

ISBN13: 9798995892502
Publisher: Institute for Complexity Science and Advanced
Published: Jun 2 2026
Pages: 102
Weight: 0.57
Height: 0.26 Width: 7.00 Depth: 10.00
Language: English

The Existence Threshold introduces the metric and locks the boundary between persistence and dissolution in discrete systems. Pattern Loss at Dimensional Boundaries measures what crosses when geometry changes - the 86% Scaling Law, reported with specimen-level reproducibility across cellular automata of every rule and scale. The Dimensional Loss Theorem supplies the proof behind the empirical regularity and finds the same conservation inside transformer attention and real neural networks. The Dynamic Existence Threshold moves the framework forward in time, where the balance of integration and differentiation predicts the state of a system - financial markets, space weather, the human brain across sleep and wake. Consciousness turns out to obey the same conservation as everything else. The papers are reproduced as submitted to the archive, with their arguments, data, and figures intact.

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