Hilbert Space.

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Buyer translation: this reference page maps the mark to a tool, system, control, deployment, or evidence question. ℓ² · infinite-dim inner product · Hilbert Space is an ambient-mathematics primitive: the space where the spectral measurements live.

register 04 · Geometry spaces· slug hilbert-space· family geometry ♾️ · best-fit emoji
01 ·

What this is.

Twelve marks · the ambient mathematics · same construction

Use. ℓ² · infinite-dim inner product.

Source. nested basis levels + 2 brass orthogonal vectors.

Register. 04 · Geometry spaces — one of the ten registers of the PLANiSPHERE corpus library.

02 ·

Promise. geometry

The contract this mark binds — derived, not asserted.

Hilbert Space is an ambient-mathematics primitive: the space where the spectral measurements live.

Answers: How does Hilbert Space show up in Planisphere's spectral geometry?

03 ·

See it work.

Evidence record you can check — not code you have to trust.

Planisphere measures your tool deployment against Hilbert Space and seals the result into a signed, Merkle-rooted evidence record. The grade recomputes on your own hardware; the model state never crosses the boundary.

04 ·

Where this measurement ships.

Related marks, and the surface this one funnels to.

Hilbert Space is measured into the same evidence record as every other mark in the Geometry spaces register. That measurement becomes compliance-ready buyer evidence at /trust-packet.

Euclidean Plane reg 04 · ℝ² · flat geometry Fractal reg 04 · Sierpinski · self-similarity Hyperbolic Disk reg 04 · Poincaré model · negative curvature
05 ·

Routes here from.

Where this mark is referenced in the Planisphere surface.

Methodology · About

Any internal link in the Planisphere site that names "Hilbert Space" canonicalises here.

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