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

"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.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-01-04
DOI
https://doi.org/10.5281/zenodo.18148127
Primary Topic
Mathematical Biology Tumor Growth
Type
article
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article

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

Claudio Bresciano
Zenodo (CERN European Organization for Nuclear Research)
Mathematical Biology Tumor Growth
article

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

Claudio Bresciano
article en

Abstract

No abstract available for this paper.

Zenodo (CERN European Organization for Nuclear Research)
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Mathematical Biology Tumor Growth
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The Tumor Probability Collapse Theorem: Quantitative Limits on Mutation-Only Tumor Formation — Claudio Bresciano · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS