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April 5, 2026Open Access

Sci - The Universal Selection Threshold

Key Points

The aim is to redefine stability as a balance between internal integrity and environmental decay through a new framework.
Applied Lyapunov Stability Theory to the Collapse Tension Substrate
Derived the Selection Number S
Proved that S=1 is the bifurcation point between stable and unstable configurations
Identified S=1 as the critical threshold for persistent matter
Demonstrated the mechanical outcome of the new stability definition
Showed how various configurations resist or succumb to thermodynamic decay

Abstract

Sci - The Universal Selection Threshold Armstrong Knight — intent-tensor-theory.com Why do certain configurations — atoms, stars, biological cells — resist the second law of thermodynamics while others dissolve into background noise? This paper redefines stability as a mechanical outcome of a dimensionless balance between internal integrity and environmental decay. Applying Lyapunov Stability Theory to the Collapse Tension Substrate (CTS), we derive the Selection Number S and prove that S=1 is the exact bifurcation point between persistent matter and transient noise (Theorem 2.1). Running implementation: intent-tensor-theory.com/applied-itt

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