Hilbert space is named after David Hilbert (German mathematician, 1862-1943). It generalizes the concept of Euclidean space and extends the method of vector algebra from two- and three-dimensional space to spaces of any finite or infinite number of dimensions. Hilbert decided, "Physics is too hard for physicists", so he devised a kinetic geometry consistent with human imagination. Hilbert Space became a computational model universe that is mathematically complete and can be used to generate proofs of theoretical phenomena.
Hilbert kept it inside his really really big hat.
My success in duplicating this device depended upon carefully collecting the principal components over a period of many years. Normaphoto below shows the apparatus consists of two globes of Hilbert Space, one nickle-plated steel (1920's ice-cube shaver) and one plexiglass (so we can see the plasmoid flux inside), a 1900 Western Electric candlestick telephone, some wires and a bell.
I assembled these items into a unified philosophical instrument and waited...and waited...oh then I remembered to plug it in. Then the bell rang.
"Hello?"
"Hello, this is Hilbert Space 1 and 2. What?"
At this point I hurriedly recited my poem:
Planting In Hilbert Space
Something wakes as from a dream,
Shakes itself and begins.
It is you, me, everyone who
Has been and will be.
It can see
Time, swim gravity,
Stretch its electric body
Over rises, bends,
To wonders where
Galaxies spin and what
Is born where all
Of it ends.
Every spark contains our
Hopes, sorrows.
As from a dream, I ask:
Tomorrows, please, can
You promise tomorrows?
To which Hilbert Space replied, "Oh sure, why the hell not?"