The singing glass
When a Burgundy wine glass explains the hidden dimensions of the universe.
A few weeks ago, a friend asked me the question everyone asks sooner or later when I talk about my work: “But your seven hidden dimensions, what are they, actually?”
I tried the wave approach. “You know: WiFi, 4G, FM radio. Invisible, passes through walls, exists whether you do anything or not. Hidden dimensions are a bit like that.” He nodded politely. I could see in his eyes that I’d lost him.
Then he picked up his wine glass, ran his finger along the rim, and the glass began to sing.
And I realized the explanation had been sitting there all along. On the table. Between the cheese and the bottle.
The experiment everyone knows
You’ve all done it at least once. A wet finger, the rim of a glass, steady pressure, and a note appears. Clear, pure, almost otherworldly. Nobody chose it. There’s no button, no tuning key, no dial. The note comes directly from the shape of the glass.
Its curvature. Its thickness. Its diameter. The amount of liquid inside. Change any of these, even slightly, and the note changes. Empty the glass: high pitch. Fill it halfway: lower. Fill it to the brim: lower still. Crack the rim: no note at all. Just a dull thud, or silence.
The geometry of the glass is the music. No middleman.
Keep that in mind.
Twenty-six notes without a score
Physics, in its current state, has a problem most people don’t know about. We’ve measured, with extraordinary precision, about 26 fundamental numbers: the mass of the electron, the strength of the electromagnetic interaction, the quark mixing angles, the masses and mixings of neutrinos, and so on. These are the free parameters of the Standard Model: the framework that describes all known particles and forces, gravity aside. These twenty-six numbers are enough to describe essentially how the universe works. They’re in every atom, every star, every molecule in your body.
But nobody knows where they come from.
The Standard Model measures them. It doesn’t explain them. It’s as if you could hear a glass singing a perfect note, but couldn’t see the glass. You know the note. You don’t know the shape producing it.
This is where GIFT comes in.
The shape of the glass
GIFT (Geometric Information Field Theory) is a framework I’ve been developing for a little over a year, in collaboration with artificial intelligences. The central idea is simple to state, even if the details are technical: what if the twenty-six constants of physics weren’t free parameters, but the natural harmonics of a precise geometric shape?
That shape is K₇: a seven-dimensional compact mathematical object with a special curvature property called G₂ holonomy.
K₇ has exactly 21 independent vibrational directions of one type and 77 of another. And just as a glass’s shape determines its note, the geometry of K₇ determines the physical constants.
Take the forces of nature. Electromagnetism has a certain strength, fixed by one of those numbers. The force holding atomic nuclei together has another. The weak force, responsible for radioactivity, a third. In the glass image, these strengths are notes: not settings someone chose, but what the shape produces when it vibrates. The wave you pick up on your phone is what happens in our four-dimensional world when the glass plays one of those notes.
As far as I can tell, K₇ with (21, 77) is the only structure that reproduces this pattern and yields exactly the notes we measure.
Three wines
Now, here’s something any good Burgundian understands instinctively.
Take the same glass. Fill it to the same level. But change the wine. A white. Then a rosé. Then a red. The note changes each time. Same shape, same level, but the density of the liquid shifts the vibration.
Particle physics has a similar mystery. The electron, the muon, and the tau are three particles that behave in exactly the same way: same charge, same spin, same interactions. But their masses are radically different. The electron is light as a dry white. The muon, roughly two hundred times heavier, has the body of a rosé. The tau, seventeen times heavier still, carries the density of a grand cru rouge.
Nobody knows why there are exactly three generations. Not two. Not five. Three.
In the picture GIFT proposes, the three generations would correspond to three distinct stable modes of the same geometric pattern. Three wines that produce a clean note in this glass. All the others, water, champagne, sparkling water… produce nothing but noise. The universe made its selection. Three wines. Three generations. Because the shape of the glass allows nothing else.
A word of honesty: the wine-density image is only a stand-in for talking about stable modes. The actual mechanism in standard physics involves the Higgs field and its couplings. What GIFT proposes is that the values of those couplings, the numbers nobody explains, fall out of the geometry of K₇. The wine remains an image. But the question it raises is the right one.
The cracked glass
What if you changed the shape of the glass? Even slightly?
This is where the story becomes dizzying. Physicists have known for decades that the constants of nature are extraordinarily “well-tuned.” If the electromagnetic force were 4% stronger, stars couldn’t produce carbon. If the down quark’s mass shifted by 0.7%, protons would disintegrate: no more hydrogen, no water, no wine.
In our image: loosen the curvature by half a millimetre, and the glass stops singing. It squeaks. Or goes silent. The difference between a universe that works and a mute one is the exact shape of the glass.
Standard physics observes this tuning and shrugs. Some invoke a multiverse: an infinity of glasses, and we happen to live in the one that sounds right. Others invoke chance. Others still, a watchmaker.
GIFT proposes something else: there is no tuning. There are no pegs. The glass wasn’t adjusted. It has a shape, and that shape produces a sound. Full stop. The question “who tuned the constants?” is the wrong question, like asking who tuned a wine glass, or who set the A to 440 Hz in a violin string. Nobody. The tension and length of the string are enough, the A comes out on its own. The curvature and diameter of the glass are enough: the note comes out on its own. For GIFT, the fine-structure constant, the electron mass, the Weinberg angle, it’s exactly the same. Notes that come from the shape, with nobody tuning them. The music is in the form.
What I know and what I don’t
I know the analogy has its limits. A wine glass is a three-dimensional object, easy to touch and easy to break. K₇ is a seven-dimensional object of which we can only perceive mathematical shadows. The distance between the two is vast.
But the structure is the same. An object whose geometry determines its harmonics. Harmonics that match the observed constants. No free parameters. No external tuning. The shape is enough.
Is GIFT right? I don’t know. GIFT makes a testable prediction: a specific CP-violating phase at 197°. CP violation is the tiny imbalance between matter and antimatter without which they would have annihilated each other entirely at the very beginning of the universe, leaving no stars, no water, no wine; the angle of 197° says exactly how far the balance tips. This value will be measured by the DUNE experiment between 2028 and 2040. If the result lands inside the window, the signal will have to be taken seriously. If it lands outside, I’ll know the shape of the glass isn’t quite what I think it is, and it will need correcting.
And here I want to be precise, because this is the heart of the matter. If the prediction is wrong, I can’t simply turn a dial to fix it. There is no dial — that’s the whole point of the framework, and what sets it apart from a patchwork. I would need to look for an entirely different shape. And here’s the vertigo: almost no shape sounds right. This isn’t a statement of principle: I’ve tested the idea against several million other shapes, several million possible glasses if you like, and none of them produce the full set of notes we measure. Finding a geometry that reproduces even some of those notes is already extraordinarily constraining; finding one that reproduces all of them, with nothing adjusted, is razor-thin. This is the opposite of the multiverse, where every wrong note is explained away by the existence of an infinity of glasses no one will ever see. Here, the glass is singular, concrete, and you can tell if it sounds wrong. That may be the most scientific thing you can say about a theory: it’s willing to be wrong.
In the meantime, the next time someone asks you what hidden dimensions are, don’t look for a complicated answer. Pick up your glass. Run your finger along the rim. Listen to the note. And say: someone thinks the universe does exactly this, but in seven dimensions, and that all the physics we know comes from the shape of the glass.
And if they ask why seven and not eleven or four, tell them there’s a precise mathematical reason: it has to do with the octonions, the last of the normed division algebras, and the very special geometry that unfolds from them in seven dimensions. But that’s for another evening and another bottle.
Then take a sip. After all, you’re holding the experiment between your fingers.
If this article made you want to listen to your glass, that’s already experimental physics. If you want to go further, the starting point is here. The technical papers are on Github. And if you’re a physicist, a geometer, a sommelier, or simply curious: my DMs are open.