Manuscript Hawk07-B@1 · Hawk07-B.tex · section · b9785538

There is no fuel bill in the channel alone

Terminal discard, reset, and nongeometric costs › There is no fuel bill in the channel alone · lines 1705–1739

A SWAP with an independent blank implements a reset channel for every common excitation gap $ϵ_{gap} > 0$ . For input excitation probability $p_{ex}$ , the energy transfer is $ϵ_{gap} p_{ex}$ . The same observed channel therefore permits different energy ledgers. The blank is consumed; restoring it is another task CheungEn07A,CheungEn07B.

Accordingly:

complete reversible encoding, residual information leakage, heat/work/reset cost

are different kinds of data. No $k_{B} T ln 2$ cost or evasion of a thermal erasure bound is derived here.

An externally declared law

M ˙ = - λ / M^{2}, M_{cut} > 0,

would give

t_{cut} - t_{0} = \frac{M _{0} ^{3} - M _{cut} ^{3}}{3 λ} .

This is an additional clock, not a relation between $M$ and the register dimensions. A supplied temperature is likewise not a temperature derived for a wormhole CheungHawk05ABC,CheungEn07C.

Displayed formulas in this passage

unlabeled · line 1716
$complete reversible encoding, residual information leakage, heat/work/reset cost$
unlabeled · line 1726
$M ˙ = - λ / M^{2}, M_{cut} > 0,$
unlabeled · line 1730
$t_{cut} - t_{0} = \frac{M _{0} ^{3} - M _{cut} ^{3}}{3 λ} .$