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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Cancer as a Topological Phase Transition: Geometric Parsimony and Logical Collapse in Biological Information Processing

Authors: Nemo, Geometricus;

Cancer as a Topological Phase Transition: Geometric Parsimony and Logical Collapse in Biological Information Processing

Abstract

Conventional oncology treats cancer as a stochastic accumulation of genetic mutations. This paper proposes a radical shift toward an information-theoretic framework, drawing on the principle of Geometric Parsimony observed in tiny language models. We hypothesize that cancer is a topological phase transition occurring when a cellular system, under extreme environmental stress (hypoxia, inflammation), can no longer sustain the metabolic cost of high-dimensional regulatory logic. To avoid total systemic dissolution, the cellular manifold collapses into a low-dimensional "logical skeleton"—a highly stable, crystalline geometric configuration (Cosine Similarity ≈ 1.0). In its early stages, this crystallization acts as a compensatory survival mechanism, preserving core existence at the expense of global functional alignment.

Keywords

Information Topology, Manifold Alignment, Geometric Parsimony, Compensatory Oncogenesis

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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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Cancer Research
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