"Church of Hilbert" via Rudy Rucker @rudytheelder #church #hilbertspace #math #physics #realspace www.rudyrucker.com/blog/2024/07...

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Hilbert space is extremely successful, but does it describe reality directly, or does it provide the best arena for representing structural relationships of presence?

#Hilbertspace #DPontology #Quantum ⚛️ 🧪

It’s not an eternal cotton bracelet. It’s not a praise matrix either. It’s plainly labeled and that’s one two **or** three times *less* than space requires. That’s why we need glass. We need it. Circumstantial.

#hopeless #romantic #seachange #gluons #hilbertspace

First theoretical evidence that rapidly changing electromagnetic fields alter Hilbert space geometry by inducing quantum state non-orthogonality, suggesting dynamic metric structures analogous to spacetime curvature in general relativity.

#QuantumGeometry #HilbertSpace #Research

Daraus kann man auch einfach definieren, was Nachdenken ist: ein Random Walk durch den Hilbertspace der in den Matritzen kodierten Beziehungen zwischen Begriffen. 🤷😁

Quantum mechanics has two faces—Heisenberg’s matrices and Schrödinger’s waves—but John von Neumann revealed they’re one: quantum states #QuantumMechanics #HilbertSpace #PhysicsHistory #ScienceFacts

https://freegardner.wordpress.com/2026/08/27/quantum-states-live-in-hilbert-space/

Awesome work! Just came across @motonobu-kanagawa & colleagues‘ monograph on #GaussianProcesses and reproducing kernel #HilbertSpace methods. Discusses the deep mathematical equivalence between GP inference and kernel-based #regularization in #RKHSs. Definitely one for the reading list!

Hilbert space is the abstract set of all quantum wave‑functions; each dimension represents a piece of information needed to specify a state. Larger spaces allow higher entropy; infinity often appears as a useful mathematical tool. https://youtu.be/9GV4QmQWJGU #HilbertSpace #QuantumEntropy

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#HilbertSpace approaches as I near 30 minutes of delving into those spaces between spaces.

Research reveals generalized symmetries cause exponential growth in Hilbert space sectors, challenging assumptions about ergodicity breaking and suggesting fragmentation occurs without disorder-induced localization.

#QuantumSymmetry #HilbertSpace #News