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ZENODO
Other literature type . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Data Paper . 2026
License: CC BY
Data sources: Datacite
ZENODO
Data Paper . 2026
License: CC BY
Data sources: Datacite
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The Tumor Probability Collapse Theorem: Quantitative Limits on Mutation-Only Tumor Formation

Authors: Bresciano, Claudio;

The Tumor Probability Collapse Theorem: Quantitative Limits on Mutation-Only Tumor Formation

Abstract

"Like Mohawk ironworkers on early skyscrapers, these papers are written without guardrails. The danger is not falling — it is realizing how high you already are.” Traditional oncology operates under the assumption that cancer is a cumulative genetic error. However, this mutation-centric paradigm fails to explain phenotypic convergence, therapeutic resistance, and the statistical impossibility of tumor formation via stochastic events alone. This paper introduces the Tumor Probability Collapse Theorem (Micro-TNA), demonstrating a 70-order-of-magnitude discrepancy between mutational combinatorial space and observed oncogenesis. By applying the Theory of Axiomatic Necessity (TNA), we redefine late-stage cancer as a post-genetic thermodynamic regime. We show that malignancy is not driven by genetic novelty, but by the collapse of metabolic throughput (Psi) below a critical threshold (Psi_{crit}). When a system can no longer export entropy ($\aleph$), it undergoes a phase transition from a specialized functional state (N^1) to a primitive, "functionally closed" survival state (N^0). This framework provides a quantitative basis for Medical Irreversibility, explaining why targeted therapies fail once the system enters a malignant attractor. We propose a shift from "fixing the code" to "engineering the flow," identifying the restoration of throughput as the primary requirement for system stability.

Keywords

Theorem of Axiomatic Necessity (TNA), Tumor Probability Collapse, Micro-TNA, Entropy Export failure, Metabolic Throughput ($\Psi$), Post-Genetic Oncology, $N^1$ to $N^0$ Transition, Medical Irreversibility, Systems Thermodynamics, Malignant Attractors.

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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
Green
Related to Research communities
Cancer Research