November 17, 2025Open Access

The Architecture of Necessary Existence: Volume I — The Proportional-Delay Field

View Full Paper

Ask AI

Bookmark

Authors

Discussion

Theoretical framework establishes a mathematical structure for collapse through proportional delay, indicating system regulation principles.

Collapse is regulated through a mathematical structure involving stability and feedback, underscoring system dynamics.
The effective stability inequality derived is αₑff < 1, demonstrating critical balance thresholds in recursive systems.
This work formulates distinct concepts such as the proportional-delay field, guiding theoretical understanding of system regulation.
The analysis paves the way for future explorations into cognitive and intelligent containment frameworks in subsequent volumes.

Singh Shivraj (2025) studied this question.

View Full Paper

Ask AI

Bookmark

November 17, 2025Open Access

View Full Paper

Ask AI

Bookmark

Authors

Theoretical framework establishes a mathematical structure for collapse through proportional delay, indicating system regulation principles.

Collapse is regulated through a mathematical structure involving stability and feedback, underscoring system dynamics.
The effective stability inequality derived is αₑff < 1, demonstrating critical balance thresholds in recursive systems.
This work formulates distinct concepts such as the proportional-delay field, guiding theoretical understanding of system regulation.
The analysis paves the way for future explorations into cognitive and intelligent containment frameworks in subsequent volumes.

Singh Shivraj (2025) studied this question.

View Full Paper

Ask AI

Bookmark