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The Day the Internet Collapsed Modeling Systemic Risk in the Age of Data Saturation by Antonios Valamontes | Kapodistrian Academy of Science https://www.amazon.com/dp/B0FY3M7Q2R Abstract — Modern digital civilization is the first in history to convert energy into information at planetary scale. The Day the Internet Collapsed quantifies the physical boundary of that process through the Multi-Resource Criticality Model (MRCM)—a mathematical framework coupling electricity, water, computation, bandwidth, and skilled labor into a single non-substitutable envelope. The model identifies a measurable threshold, the Valamontes Limit, where informational metabolism exceeds its energetic substrate and the digital order transitions into degenerative acceleration.
2026 2028 2030 2032 2034 2036 2038 2040 Year 0.6 0.8 1.0 1.2 1.4 1.6 Composite Stress Index (CSI) Tc Baseline: 2028.9 Tc AI acceleration: 2028.9 Tc AI + QC acceleration: 2028.8 Valamontes Limit (CSI = 1) CSI Trajectories and the Atlantis Event (detail around threshold) Baseline AI acceleration AI + QC acceleration Figure 1: * Figure — CSI trajectories near the Atlantis Event. Monte Carlo ensemble approaching the Valamontes Limit (CSI =1). Convergence at 𝑇𝑐≈2028.9indicates equilibrium onset and thermodynamic saturation under acceleration regimes. Core Thesis. The Internet is not infinite. It is a thermodynamic organism whose metabolism obeys the same laws as life: when entropy grows faster than coherence can be restored, collapse begins not with machines but with meaning. What the book reveals •How the MRCM links physical and cognitive resources into a closed system of constraints. •Why rebound behavior (𝐽≈0.8) cancels efficiency gains and accelerates saturation. •How entropy and complexity scale superlinearly with compute intensity. •Early-warning indicators: variance, autocorrelation, and kurtosis in the Composite Stress Index (CSI). •Policy levers for sustainable operation below the Valamontes Limit. Valamontes Limit. A quantitative horizon where each marginal computation erases more order than it creates—transforming progress into entropy. Chapter Map (selected) 1. The Digital Metabolism — finite physics of the Internet’s body. 2. The MRCM Equations — coupled dynamics of 𝐸,𝑊,𝐶,𝐵,𝐿. 3. Entropy Balance — digital + semantic entropy in total 𝑆(𝑡). 4. Monte Carlo Simulation — Composite Stress Index trajectories. 5. Semantic Collapse — cognitive bandwidth and meaning decay.
6. Complexity Scaling — the energy law of compute growth. 7. Reflexive Feedback — control theory and stability limits. 8. Information Ecology — post-limit coherence and recovery. Citation Valamontes, A. (2025). The Day the Internet Collapsed: Modeling Systemic Risk in the Age of Data Saturation. Kapodistrian Academy of Science Press. Paperback ISBN 979-8-27-193016-4. Discussion welcome from researchers in thermodynamics of information, complex systems, AI infrastructure, and sustainability. Note for Readers — AFree Kindle Edition will be available for a limited period. Follow the author’s ResearchGate profile for further details on the release. Stay connected for entropy observatory updates and forthcoming field applications.
