Argle-bargle in a good cause

My father told me a story once about a Dutch mathematician working in the Netherlands under the Nazi occupation. He was constructing a large Cartesian grid of the complex primes, a project without any known practical applications. Nevertheless, he told his captors that his work somehow had nearly magical military value, so they left him alone to work on it in safety and comfort throughout the war. Afterwards, he supposedly admired the pretty pattern of the grid and had it printed up as a tablecloth. Later, a Rice University mathematician who owned one of the tablecloths built a home in West University (Houston) and commissioned a black and white tile floor in the house in an area where a central column was surrounded on all four sides by a kitchen and open living area. (He also supposedly commissioned a screen door with a graphical proof of the 4-color theorem built into its frame.) The mathematician was said to have taken infinite pains with the tile-workers, who were skeptical that the precise random-looking scatter-pattern was meaningful, and were therefore irritated when their client proofread the work every night and forced them to make corrections.

It was a charming story that, as far as I can tell today, had no basis in fact. There was indeed a Dutch mathematician, Balthasar van der Pol (1889–1959), who made a Cartesian grid of the Gaussian primes and had it printed up as a tablecloth, a novelty item that was sold at the 1954 International Congress of Mathematicians. Surviving examples are held in museum collections such as the Museum Boerhaave in Leiden. Although van der Pol had held a prominent position at the Philips laboratories in Eindhoven throughout the Nazi occupation, where his work in radio/electronics and relaxation oscillations was considered an essential industry, there is no record of his work during that period involving the complex primes grid, or of his persuading the Nazis that it had abstruse military applications. The tablecloth project itself was post-liberation, tied to the 1954 ICM. So darn it, that was a nice story that I wish were true. The West U. house with the interesting tile floor and screen door may have existed, but there’s no record of it.

I was reminded of this story, which my father may have invented himself, or may have passed along as an amusing story heard from someone else, when I saw breathless reports on X this evening about a breakthrough physics paper that would unlock unlimited power from vacuum and render moot all the current quarreling over fossil fuels, including the current military action in Iran. The abstract reads like a Sokal hoax, packed with buzzwords:

Emergent quantization from a dynamic vacuum, Harold White, Jerry Vera, Andre Sylvester, and Leonard Dudzinski, 2025, Physical Review Research 8, 013264 (2026). We show that adding quadratic temporal dispersion to a dynamic-vacuum acoustic model yields a fully analytic, exactly isospectral mapping to the hydrogenic Coulomb problem. In the regime [formula], a proton-imprinted constitutive profile produces an inverse sound speed [formula] and hence a time-harmonic operator [formula] that is Coulombic at each bound eigenfrequency. . . .

But what do I know? I’m about as well-versed in quantum theory as the man in the moon. Grok maintains that it is a real paper, in a reputable journal, not currently being outed as a hoax. On the other hand, Grok also reports:

The hype you’re seeing on X, Reddit, and sites like stardrive.org (“Power from zero point energy!”) is not coming from the paper. It’s people (and sometimes White’s company) connecting dots that aren’t there. Harold White runs Casimir, Inc., which separately claims to be building tiny nano-scale “Casimir cavities” (asymmetric vacuum structures with nanopillars) that supposedly let electrons tunnel one way and produce a trickle of DC power—on the order of microwatts (e.g., 1.5 V at ~25 µA per chip in their promotional descriptions). They’re framing this new paper as theoretical support for their “dynamic vacuum” ideas, but:

Those claims are not in the Physical Review Research article. The outputs are minuscule—enough for maybe a sensor or IoT tag that “never needs charging,” not your house, car, or grid.

Independent verification is essentially nonexistent; mainstream physics views continuous net power from the quantum vacuum as incompatible with thermodynamics (you can’t extract usable work from equilibrium fluctuations without violating detailed balance).

In short: this paper is fascinating math for people who like fluid analogs of quantum mechanics, but it gives no more practical power-generation advice than a paper on black-hole analogs tells you how to build a starship. The “revolution” narrative is classic over-extrapolation from a speculative theory paper + a company’s early-stage promotional claims.

So don’t sell all your fossil-fuel stocks yet.