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Do we live in an eigenstate of the "fundamental constants" operators?
John D. Barrow, Joao Magueijo
We propose that the constants of Nature we observe (which appear as parameters in the classical action) are quantum observables in a kinematical Hilbert space. When all of these ob…
The quantum cosmological constant
Stephon Alexander, Joao Magueijo, Lee Smolin
We present an extension of general relativity in which the cosmological constant becomes dynamical and turns out to be conjugate to the Chern-Simons invariant of the Ashtekar conne…
A Universe that does not know the time
Joao Magueijo, Lee Smolin
In this paper we propose that cosmological time is a quantum observable that does not commute with other quantum operators essential for the definition of cosmological states, nota…
Unsqueezing of standing waves due to inflationary domain structure
Carlo R. Contaldi, Joao Magueijo
The so-called "trans-Planckian" problem of inflation may be evaded by positing that modes come into existence only when they became "cis-Planckian" by virtue of expansion. However,…