THE MODEL
Two reservoirs: cold at Tc, hot at Th, with Th > Tc. A reversible cycle draws Qc from the cold side, receives work W, and rejects Qh to the hot side.
Reversibility fixes the heats to the temperatures (Clausius): Qc/Qh = Tc/Th. Eliminate the heats and the merit becomes pure temperature:
COPcool = Qc / W = Tc / (Th − Tc).
On a temperature–entropy chart the cycle is a rectangle traversed counter‑clockwise: the enclosed area is the work W, the cold isotherm carries Qc = Tc·ΔS in, the hot isotherm carries Qh = Th·ΔS out.
THE LINEAGE
This is the-carnot-cycle run in reverse. Forward, it turns a heat drop into work at efficiency 1 − Tc/Th; backwards, it spends work to lift heat at Tc/(Th−Tc). The same rectangle, the same reservoirs — only the direction of travel flips.
It is the cooling twin of the-heat-pump: identical hardware, identical cycle, but the payoff is counted at the cold end. Their measures differ by exactly one: COPheat = COPcool + 1 = Th/(Th−Tc), because the hot side receives both the cold heat and the work, Qh = Qc + W.
THE WITNESS
A live re‑check, independent of the panel. It recomputes the reversible COP from Tc/(Th−Tc) and compares it to what the engine reports. Green while they agree; it flips red the instant the RED TEAM tampers.
DATA IN in ↓
Two reservoir temperatures and the cold heat to move. Everything downstream is derived — no stored answers.
THE PANEL LIT
The reversed loop moves Qc uphill for a work cost W = Qc/COP. Enclosed rectangle area = W. As Th → Tc the loop flattens, the cost vanishes, and COP → ∞.
DATA OUT out ↓
The proven result, set once the boot self‑check passes:
booting…THE ADVERSARY WALL
“A COP above one is free energy — you get out more than you put in. Second law violated.”
The wall: COP counts heat moved, not energy created. Qc > W is allowed because the hot side pays the balance: Qh = Qc + W > W. No joule is manufactured; heat is only relocated. The second law forbids W = 0, not COP > 1.
THE GRAVEYARD
“Efficiency of a fridge is 1 − Tc/Th, like the engine.”
→ That is the forward Carnot efficiency. A fridge is rated by COP, and its reversible value is Tc/(Th−Tc) — a different, unbounded quantity.
“COP can be pushed to infinity by better engineering.”
→ Only as Th−Tc → 0. At any fixed finite gap the COP is finite; pumping heat always costs work.
“A real fridge reaches the Carnot COP.”
→ Irreversibility (friction, finite‑rate heat flow) always leaves the real COP below Tc/(Th−Tc). amber the second‑law efficiency η₂<1 is device‑specific.
THE TAMPER
Swap the cooling formula for the heat‑pump one, Th/(Th−Tc) — one unit too high. The fridge would appear to move more cold heat than it pays for, and the ratio Qc/Qh stops matching Tc/Th. THE WITNESS (7) catches it live.