417 citations · 1.5k across the 22 of their papers we have counts for
6 papers · 1 filter
Completely Discretized, Finite Quantum Mechanics
Sean M. Carroll
I propose a version of quantum mechanics featuring a discrete and finite number of states that is plausibly a model of the real world. The model is based on standard unitary quantu…
Reality as a Vector in Hilbert Space
Sean M. Carroll
I defend the extremist position that the fundamental ontology of the world consists of a vector in Hilbert space evolving according to the Schrödinger equation. The laws of physics…
Energy Non-Conservation in Quantum Mechanics
Sean M. Carroll, Jackie Lodman
We study the conservation of energy, or lack thereof, when measurements are performed in quantum mechanics. The expectation value of the Hamiltonian of a system can clearly change…
Quantum Mereology: Factorizing Hilbert Space into Subsystems with Quasi-Classical Dynamics
Sean M. Carroll, Ashmeet Singh
We study the question of how to decompose Hilbert space into a preferred tensor-product factorization without any pre-existing structure other than a Hamiltonian operator, in parti…
Modeling Position and Momentum in Finite-Dimensional Hilbert Spaces via Generalized Pauli Operators
Ashmeet Singh, Sean M. Carroll
The finite entropy of black holes suggests that local regions of spacetime are described by finite-dimensional factors of Hilbert space, in contrast with the infinite-dimensional H…
Mad-Dog Everettianism: Quantum Mechanics at Its Most Minimal
Sean M. Carroll, Ashmeet Singh
To the best of our current understanding, quantum mechanics is part of the most fundamental picture of the universe. It is natural to ask how pure and minimal this fundamental quan…