Motion as Fuel: Quantum Engines at Near-Light Speeds ✛

Original: "Relativistic Quantum Thermal Machine: Harnessing Relativistic Effects to Surpass Carnot Efficiency"
arXiv:2508.14183 · 2025-08-19 · CC BY 4.0 · 1 min
Near-light-speed motion of reservoirs allows a quantum heat engine to operate with efficiency above the theoretical maximum.

An ordinary heat engine cannot exceed the Carnot limit: its efficiency is bounded by the temperature difference between the heater and the cooler. But if you accelerate the heat and cold sources themselves to nearly the speed of light, relativity comes into play.

In a new study, researchers examined a quantum microwave amplifier (maser) operating as a three-level pump. When its hot and cold reservoirs move at tremendous speeds, the Doppler effect shifts the spectrum of their radiation. This distortion allows the machine to dodge classical restrictions and deliver useful work even at equal temperatures. Motion becomes a fuel, just like heat.

The key lies in the Unruh effect, predicted by Einstein's theory: an accelerating observer sees thermal radiation from the vacuum. In the engine, the motion of reservoirs creates a similar shift, turning spacetime itself into an energy source. Thus relativistic motors break the usual thermodynamic taboos.

According to the Unruh effect, an accelerating observer sees thermal radiation even in complete emptiness. So motion generates heat, and becomes fuel for quantum engines.

In science fiction, engines draw energy from motion through spacetime itself. This work shows that at the quantum level, relativistic motion can indeed serve as an energy source.

\eta_{\mathrm{up}} = 1 - \frac{T_c}{T_h} \frac{u}{\sinh u}
Upper bound on efficiency when the cold reservoir moves with rapidity u
\eta_{\mathrm{MP}}^u = 1 - \left( \sqrt{2\tau^2 u^2 \mathrm{csch}^2(u) + \tau u \mathrm{csch}(u)} - \tau u \mathrm{csch}(u) \right)
Efficiency at the maximum power point for a given temperature ratio τ and rapidity u
Scientists
Jacob BekensteinWilhelm WienLudwig BoltzmannCharles BennettJohn von NeumannMax Planck
Concepts
carnot limit heat engine Carnot's theorem temperature difference efficiency Unruh effect thermal bath quantum thermometer heat capacity refrigerator vacuum energy levitation quantum motor perpetual motion machine thermal property measurement laser cooling Oberth effect Wheeler-DeWitt equation work magnetic refrigeration reservoir computing