On Wed, May 27, 2026, 1:45 AM swkane <[email protected]> wrote: > The current trajectory is the expansion of the Computronium Abyss: > https://github.com/dissipate/computronium_abyss as more and more of the > Earth's resources is converted to data centers and computing devices in > general, and more and more power is used to power computing devices. There > is no way to predict the precise trajectory or nature of the Abyss once it > hits a certain takeoff point and Moore's Law ends, to be taken over by a > new 'Law' for a different computing substrate. >
Seth Lloyd used the Margolis-Levitin limit to calculate that the universe has enough mass-energy for 10^120 qubit operations. I computed the entropy of the universe at 2.95 x 10^122 bits based on the Bekenstein bound of the Hubble radius. Unfortunately, most of this entropy is heat, which can't be used for computation, and quantum computation can't implement memory because writing a bit is a non unitary (not time reversible) operation. Lloyd estimated the memory capacity of the universe at 10^90 bits by encoding 10^80 particle positions and velocities within the Heisenberg uncertainty limits. Separately I estimated that it is possible to write 10^92 bits by converting the 10^53 Kg mass of the universe to 10^70 J at the Landauer limit kT ln 2 energy per bit with k = Boltzmann's constant = 1.38 x 10^23 J/K and T = CMB temperature = 3 K. This makes eta_S ≈ 10^-30. A Kardashev level I could support 10^14 to 10^15 humans at 100 W each using only solar power. A level II using a Dyson sphere at 1 AU radius would support 10^46 operations per second, or 10^48 OPS at 10,000 AU and 3 K temperature. That would be enough to simulate 3 billion years of evolution in a few minutes. If we uploaded to human level language models with 10^9 parameters (human long term memory capacity) and 10^18 lifetime bit operations, it could simulate 10^30 lifetimes per second. There are about 10^56 atoms in the solar system, enough to encode 10^47 minds over the next 10^17 seconds before the sun burns out. Level III multiplies everything by 10^11 and level IV by 10^23. We could get another factor of 10^2 by switching from hydrogen fusion to dropping stars into black holes. A paradox to ponder: if the Earth's current trajectory is the evolution and > expansion of the Computronium Abyss, why hasn't it already happened > somewhere else and consumed a visible part of the Universe? > Probability because abiogenesis is exceedingly rare and never happened on any of the other 10^24 planets in the observable universe or even in the much larger universe outside our event horizon. The multiverse theory says that the universe is as big as it has to be for intelligent life to evolve at least once for us to observe it. A smaller universe would require more bits to specify the physical constants and initial conditions for life, and would therefore be less likely. ------------------------------------------ Artificial General Intelligence List: AGI Permalink: https://agi.topicbox.com/groups/agi/T7daa29d46d037f94-Macd6f65d8a4266a33b4d3125 Delivery options: https://agi.topicbox.com/groups/agi/subscription
