Gödel (1931) → Turing (1936) → Shannon (1948) → Landauer (1961)
Every irreversible bit erased costs k_B T ln 2 joules of heat
Transparent ledgers are open thermodynamic wounds
zk-SNARKs act like reversible computation: validity is proven, the witness is never erased, zero joules dissipated
Privacy is the only path to negative ledger entropy