The rough answer is that there is a best way of factorizing Hilbert space so that the system looks as classical as possible. You can quantify it by minimizing the growth of entropy.
One thing nobody bothers to mention about Hilbert's Hotel is that it's completely environmentally unsustainable.
Today is the 75th anniversary of when the Nazis surrendered in World War II. This is Hilbert Margol, a 96-year-old U.S. Army veteran who served in the legendary 42nd Rainbow Division alongside his twin brother, Howard. #VEDay75
Backstory: 32 years later, abandoned car still only clue in ScottHilbert's disappearance
Baby Universes, Holography, and the Swampland, by McNamara and Vafa Swampland conditions suggest that the Hilbert space of baby universe states must be one-dimensional in a consistent theory of quantum gravity.
REST IN PEACE: This is retired @HCSOTexas Deputy Hilbert Nunez. Sheriff Ed Gonzalez tweeted that he passed away recently, and that his death was COVID-related. Please join us in sending condolences to his family and law enforcement everywhere.
At John von Neumann's doctoral exam, Hilbert'>David Hilbert had only one question: Who was his tailor?
"It is an error to believe rigor is the enemy of simplicity. Rigor forces us to find simpler methods of proof." -- Hilbert'>David Hilbert