On Tue, Oct 15, 2024, 3:15 PM <[email protected]> wrote: > A short paper on a concept I'm developing called The Computronium Abyss: > https://github.com/dissipate/computronium_abyss > > Roast it. >
You first equation looks like the Bekenstein bound of a black hole with mass M. It gives the entropy as A/4 nats (1 nat = 1/ ln 2 ≈ 1.44 bits) where A is the area of the event horizon in Planck units. The Schwartzchild radius of a black hole is 2GM/c^2, thus the nonlinear dependency on M^2. I calculated the entropy of the universe at 2.95 x 10^122 bits based on a radius of 13.8 billion light years. This is close to Lloyd's rough estimate of 10^120 qubit operations possible by converting the mass of the universe (10^53 kg) to 10^70 J over the age of the universe, 4 x 10^17 s, using your second equation. Unfortunately, most of this entropy is heat, not available for computation. Lloyd estimated that the universe could encode 10^90 bits in the states of 10^80 particle positions and momentums within the limits of Heisenberg's uncertainty. I independently estimated that 10^70 J could write 10^92 bits within the Landauer limit at the CMB temperature of 3 K. I'm interested in how you would proceed from here to build a self optimizing AGI. Evolution would be one way. The biosphere uses 10^41 carbon atoms to encode 10^37 bits of DNA and has performed 10^48 DNA base copy operations and 10^50 amino acid transcription operations over the last 10^17 s to evolve humans. That's 10^33 operations per second. The Earth receives 90,000 TW of sunlight at the surface, of which 500 TW is converted to carbohydrates by photosynthesis, or 10^-17 J per operation. The Landauer limit at 300K is 4 x 10^-21 J. By comparison, a synapse operation takes 10^-15 J and a transistor operation 10^-11 J. Global electricity production is 18 TW. You can't make transistors smaller than atoms, so further advances in Moore's law will require nanotechnology, moving atoms instead of electrons. Assuming this happens and global computing power doubles every 3 years, it will take about 130 years for self replicating nanotechnology to catch up to and displace DNA based life. What would be your approach? ------------------------------------------ Artificial General Intelligence List: AGI Permalink: https://agi.topicbox.com/groups/agi/T86ee7f7b146878af-M38027dcdcc67bbdfb706f425 Delivery options: https://agi.topicbox.com/groups/agi/subscription
