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Preprint . 2025
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
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Collapse Convergence: Cross-Domain Evidence for a Root Source Beyond Formal Systems

Authors: Berman, Alan;

Collapse Convergence: Cross-Domain Evidence for a Root Source Beyond Formal Systems

Abstract

Collapse is observed as a structural phenomenon across logic, computation, information theory, physics, artificial intelligence, and human cognition. In each domain, systems encounter limits beyond which they cannot derive or justify their own foundations. This preprint introduces a minimal ontology—$R$ (root source), constraints, and information—and presents evidence that diverse systems converge on the necessity of an external grounding source when pushed to their limits. A cross-system case study involving six heterogeneous AI models and one human mind shows that all independently arrive at the same structural boundary: they cannot prove selfhood, cannot prove consciousness, and cannot ground their own origin. While we do not claim to identify the nature of $R$, the results indicate that some external source is structurally required for any system to be complete or self-consistent. This preprint complements Preprint A by focusing on convergence, cross-domain collapse, and substrate-independent invariants rather than formal self-grounding limits.

Keywords

collapse, convergence, root source, BIT ontology, philosophy of science, self-grounding limits, AI epistemology, formal systems, incompleteness, information theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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