Andrew Korytko

Gravitation from Hilbert-Space Granularity: The Sphere, the String, and the Ring

We argue that gravitation is what a granular quantum mechanics looks like at every scale. In Tim Palmer's Rational Quantum Mechanics, Hilbert space is granular, with a finite parameter L that he attributes to gravity. We reverse the claim: L comes first, one universal integer, in...

Gravitation from Hilbert-Space Granularity: Pinning the Parameter L of Rational Quantum Mechanics Across Scales

Ever since general relativity and quantum mechanics were discovered over a century ago, physics has been on the quest for a theory that unites them. We argue that the answer has been staring us in the face: gravitation is a consequence of discrete quantum mechanics. Tim Palmer's...

The Dimension of Space from the Granularity of Hilbert Space

We derive the three dimensions of space from two postulates. The first is the register: every qubit is a string of L bits around a ring of L cells of one Planck length, with L = 6.4×10^61 universal. Its bits are the outcomes of one measurement and its position is the phase, and e...

The Dimension of Space from the Granularity of Hilbert Space

We derive the three dimensions of space from two postulates. The first is the register: every qubit is a string of L bits around a ring of L cells of one Planck length, with L = 6.4×10^61 universal. Its bits are the outcomes of one measurement and its position is the phase, and e...

The Dimension of Space from the Granularity of Hilbert Space

Why do we live in a three-dimensional world? It has been asked since antiquity. We now know: it follows from two postulates and some counting. The first is that quantum mechanics is granular: every state is a record of L bits on a ring of L Planck cells, L = 6.4×10⁶¹ universal, e...