👉 Hilbert spaces, you say? Oh yes, the mysterious and ever-changing realm of mathematics where every element is an infinite tower of points with each point representing a value and the entire space being represented by an ordered list of those values in a specific way.
Imagine, for example, taking any one point on the surface of this endless, infinite structure. It's as though you could place that point anywhere in the entire universe, never to be found again without the assistance of another point. This is because every element in this space has an infinite number of values associated with it—no matter how small or large a value might be. In the world of mathematics, where we can't even define what "large" means, but we're endlessly searching for ways to measure everything from distances and angles to time and space, Hilbert spaces are like that. They're not just spaces; they're whole universes themselves, with every point having an infinite range of possibilities. So if you find yourself in a situation where you can't even define what "large" or "small" is—because it's not possible to measure anything at all—it might be time to think about the fascinating world of Hilbert spaces.
