Axiom 4
Energetic Cost of Erasure
Information structures resist deletion due to energetic cost
Formal Definition (Landauer’s Principle)
Eerase ≥ kB · T · ln(2) · H(x)
Erasing information requires energy. Even a single bit costs at least kBT ln(2) joules. Structured, low-entropy patterns have a thermodynamic cost to destroy.
In the ASH Model
The error-correcting codes provide an analogous mechanism: random noise cannot easily destroy structured patterns because the code actively restores corrupted states within the Hamming bound.
kBT ln2
Min Energy/Bit
< 6%
Noise Threshold
< 0.05
Variation Bound