While(1) i++ — How far can it go?
summary
Combines E=mc^2 with Landauer-style bit‑flip cost kT ln2 using the Cosmic Microwave Background as T, designs a reversible counter in reflected binary to minimize flips and implements arithmetic with Fredkin gates, then converts energy budgets into counts: one joule ≈ 2^109 bit flips, 8.4 kJ (daily calories) ≈ 2^125, Sun/sec ≈ 2^198, whole solar system ≈ 2^266, and mass‑energy or black‑hole bounds (≈9×10^90 ops/s, lifetime ≈2.8×10^139) give larger but still finite limits; cosmic expansion shifts CMB and Hubble‑volume tradeoffs.
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chapters (6)
- 0:00Start
- 1:52The Entire Energy Budget
- 3:25The Cost of a Bit Flip
- 5:11Fredkin Gates
- 6:29Reflected Binary Code
- 8:28Tables of the Energy
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