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pro vyhledávání: '"Carroll, Sean M."'
The holographic principle suggests that regions of space contain fewer physical degrees of freedom than would be implied by conventional quantum field theory. Meanwhile, in Hilbert spaces of large dimension $2^n$, it is possible to define $N \gg n$ P
Externí odkaz:
http://arxiv.org/abs/2402.11016
Autor:
Carroll, Sean M.
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 quantum theory of a closed system with a finite-dimensional Hilbert space. G
Externí odkaz:
http://arxiv.org/abs/2307.11927
Autor:
Field, George B., Carroll, Sean M.
We argue that if axions are the dark matter, their coupling to electromagnetism results in exponential growth of a helical magnetic field when the axion field first rolls down its potential. After an inverse cascade, the relevant length scales to day
Externí odkaz:
http://arxiv.org/abs/2307.05425
Autor:
Carroll, Sean M.
I defend the extremist position that the fundamental ontology of the world consists of a vector in Hilbert space evolving according to the Schr\"odinger equation. The laws of physics are determined solely by the energy eigenspectrum of the Hamiltonia
Externí odkaz:
http://arxiv.org/abs/2103.09780
Autor:
Carroll, Sean M., Lodman, Jackie
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 when wave functions collapse in accordance with the standard textbook
Externí odkaz:
http://arxiv.org/abs/2101.11052
Autor:
Carroll, Sean M.
Effective Field Theory (EFT) is the successful paradigm underlying modern theoretical physics, including the "Core Theory" of the Standard Model of particle physics plus Einstein's general relativity. I will argue that EFT grants us a unique insight:
Externí odkaz:
http://arxiv.org/abs/2101.07884
Autor:
Carroll, Sean M., Singh, Ashmeet
Publikováno v:
Phys. Rev. A 103, 022213 (2021)
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 particular the case of a bipartite decomposition into "system" and "environ
Externí odkaz:
http://arxiv.org/abs/2005.12938
Akademický článek
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Autor:
Singh, Ashmeet, Carroll, Sean M.
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 Hilbert spaces of quantum field theory. With this in mind, we explore h
Externí odkaz:
http://arxiv.org/abs/1806.10134
Autor:
Carroll, Sean M.
It seems natural to ask why the universe exists at all. Modern physics suggests that the universe can exist all by itself as a self-contained system, without anything external to create or sustain it. But there might not be an absolute answer to why
Externí odkaz:
http://arxiv.org/abs/1802.02231