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Civilizations' energy growth isn't what we thought ⚡ экспресс

Original: "Kardashev's Conundrum: Statistical Falsification of Exponential Energy Growth, the Non-Observation of Type II Technosignatures, and the Kardashev-Sagan-Nakamoto Resolution"
· Sebastian Gurovich
arXiv:2604.17516 · 2026-04-19 · CC BY · ⏱ 1 min · Instrumentation Galaxies
Real energy consumption growth is double the forecasts, but it dashes dreams of supercivilizations.
Abstract

When we put Kardashev's hypothesis to the test with 60 years of data using Bayesian inference, it turns out global energy consumption grows at about 2% a year, not 1% as Kardashev thought. Extrapolating to a Type II civilization (mastering star energy) creates a paradox: a linear path takes forever, an exponential one crashes into heat-dissipation limits. So Dyson spheres seem unlikely, which neatly explains why we haven't spotted any. The solution? Add an information dimension: a new measure, 'energy per hash,' that ties power to computing work.

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Humanity is a pot on a stove. Sixty years of data show: the heat is being turned up faster than astrophysicist Nikolai Kardashev expected — about 2% per year, not 1%. But even so, the pot will never hold an ocean: to harness all the energy of the Sun with even heating would take a time comparable to the age of the Universe. And accelerated heating over a thousand years would heat the planet to the temperature of the solar corona — the civilization would melt. This is the paradox: supercivilizations are doomed to overheat to stellar scale.

The solution is to evaluate not just power, but steam control. A new index 'CarNac' (joule per hash) links energy to computation, such as mining. Taking into account the entropy of data processing, it explains why photometry — precise measurements of stellar brightness — doesn't find Dyson spheres: advanced civilizations prefer to compute, not burn.

🎯 If energy consumption growth were linear, humanity would need about 100,000 ages of the Universe to reach a Type II civilization level.

🎬 The Dyson sphere, described by Larry Niven in 'Ringworld', is a favorite construct of science fiction.

B = \frac{P}{H}
B — a new measure of civilization (J/hash), P — power output, H — global hashrate
Scientists
Adam RiessBrian SchmidtEdwin HubbleGeorges LemaîtreMaarten SchmidtSaul Perlmutter
Tags
entropy Sun photometry expansion of the universe
Laws
Hubble's lawsecond law of thermodynamicsBekenstein-Hawking entropyStefan–Boltzmann lawBoltzmann distributionfirst law of thermodynamics
Original: arXiv:2604.17516 · CC BY · bridge42worlds