A temperature difference across a material drives a voltage: heat turned straight into electricity. The open-circuit signal is V = −S ΔT for Seebeck coefficient S. A real thermocouple needs two different materials — the net signal follows (SA−SB)ΔT — and the figure of merit ZT = S²σT/κ sets how much of that heat becomes work. Rendered, not quoted.
source Th. J. Seebeck, Magnetische Polarisation der Metalle und Erze durch Temperatur-Differenz, Abh. Königl. Akad. Wiss. Berlin 1822–23, pp. 265–373 — archive.org scan amber · historical proceedings, no DOI
A thermal gradient pushes charge carriers from hot to cold; the pile-up sets up a back-field. At open circuit the two balance and leave a measured voltage.
Thermocouple of materials A, B: only the contrast survives —
Sign of S reads the carrier: n-type < 0, p-type > 0 — the same sign the Hall voltage exposes.
Heat → voltage, discovered by Seebeck, 1821. The sign of S follows the carrier type just as the-hall-effect reads n and its sign from VH. And it is the reverse of the Peltier cooler: drive a current through the same junction and it pumps heat instead of making it.
Re-runs the engine's checks live. Confirms while the machine is honest; flips red the instant the Tamper (6) drops the (SA−SB) contrast.
witness idleTwo materials, a hot end and a cold end.
Live engine — computes from pure logic, no stored numbers.
Proven: identical materials give zero; only contrast × ΔT makes a voltage.
booting…No. A single material's leads are the same material; the two contact potentials cancel and the meter reads 0. Voltage appears only across different S. The idealized constant-S, linear-response picture is itself amber — real S(T) varies with temperature and the true signal is ∫S(T) dT.
Any temperature gradient in one wire yields a usable EMF.
→ a homogeneous wire gives no net loop voltage (Magnus' law); you need a junction of two S.
Bigger S alone means a better generator.
→ efficiency is ZT = S²σT/κ — high κ shorts the gradient and kills it.
Sign of the voltage is arbitrary.
→ sign of S is set by carrier type; n-type and p-type push opposite ways.
Planted void: make a couple of two identical materials read nonzero — drop the (SA−SB) contrast so heat makes power from nothing. The Witness (7) catches it.