The theory of holographic noise is due to Craig Hogan.
For an accessible review of the motivation for and features of the holographic principle, see
For an overview of commutators, consult
The derivation for holographic noise involves the Moyal bracket, which comes from the Weyl–Wigner formalism of quantum mechanics. This formalism tells us how to do quantum mechanics in phase space, analogous to how Hamilton’s formalism tells us how to do classical mechanics in phase space.
For a refresher on classical mechanics in phase space, see
For a review article on the Weyl–Wigner formalism, see
For a discussion of Moyal products and noncommutative geometry, see
A conceptual design for the experiment was written by Rai Weiss on Feb 10, 2009.
The grand plan for the Holometer is laid out in the proposal document:
The Holometer is very closely based on interferometric gravitational wave detectors like LIGO or GEO600.
These are two comprehensive pedagogical resources for learning about LIGO:
These books are good all-in-one resources for a discussion of lasers and optical systems in general.