The Spacetime Metric
Section 4Inertia, gravity and the vacuumOn the bench now

Weigh the vacuum

National lab for the full experiment; university for the useful contribution. · 1 min read

What it proposes

Quantum theory fills empty space with energy. General relativity says energy has weight. Put a Casimir cavity on a balance and ask whether the shortfall of vacuum energy inside it is pushed upward, the same bookkeeping as a body displacing water. If it is, the join between the site's chapter on the vacuum and its chapter on gravity stops being an argument and becomes a laboratory reading.

Who it is forPrecision-mechanics engineersLow-noise metrology engineersCryogenic materials peopleSeismologists

Why the library suggests it

Enrico Calloni and seventeen colleagues, Carlo Rovelli among them, propose cycling high-temperature superconducting plates through their transition so the cavity's reflectivity — and therefore its vacuum energy — switches on and off, and watching a balance for a force of about ten to the minus sixteen newtons (The Archimedes experiment, 2015). The prototype is built: a half-metre aluminium arm read by a Michelson interferometer, running closed-loop in the seismically quiet Sos Enattos mine in Sardinia, reaching a torque noise of about seven times ten to the minus thirteen newton-metres per root hertz — its own suspension's thermal limit, which is exactly the level the final cryogenic balance was designed around (Thermal noise-limited beam balance as prototype of the Archimedes vacuum weight experiment, 2024). The theoretical stake is set out by Ulf Leonhardt, who argues that doing the same renormalisation cosmology skips — the one laboratory Casimir physics does routinely — leaves a cosmological constant of the right size, and that an expanding universe plays the part a moving mirror plays in the dynamical Casimir effect (Casimir cosmology, 2022).

The experiment or build

The full balance is a large collaboration in a deep mine. But the enabling problems are separable and every one of them is a thesis: the superconducting sample stack, the transition-cycling drive, the thermal-noise budget of the suspension, the seismic isolation. The settling measurement is the force in newtons on the balance as the sample is cycled through its superconducting transition, against a non-superconducting dummy of identical mass and geometry cycled through the same temperature range. That control is the whole experiment: the dummy separates a change in vacuum energy from a change in temperature.

Where it stands

On the bench now — a funded collaboration, a prototype that has reached its designed noise floor, and a named next machine.

Take it up

The measurement that settles it
The settling measurement is the force in newtons on the balance as the sample is cycled through its superconducting transition, against a non-superconducting dummy of identical mass and geometry cycled through the same temperature range.
What it costs to start
National lab for the full experiment; university for the useful contribution.
The engineer it grows
It is also the most direct answer this field can give to the question a sceptical reader is entitled to ask: does any of this weigh anything.

What it rests on

Where it sits in the curriculum

Casimir physics and vacuum-force engineeringInertia and gravity from the vacuumWhat the vacuum isThe vacuum at cosmic scale