scholarly journals Newtonian binding from lattice quantum gravity

2021 ◽  
Vol 103 (11) ◽  
Author(s):  
Mingwei Dai ◽  
Jack Laiho ◽  
Marc Schiffer ◽  
Judah Unmuth-Yockey
Keyword(s):  
Quantum Gravity ◽  
Lattice Quantum

scholarly journals Discrete Hilbert space, the Born Rule, and quantum gravity

2021 ◽  
Vol 36 (03) ◽  
pp. 2150013
Author(s):  
Stephen D. H. Hsu
Keyword(s):  
Hilbert Space ◽  
Quantum Gravity ◽  
Discrete Models ◽  
Born Rule ◽  
Gravitational Effects ◽  
Spacetime Geometry ◽  
Decoherent Histories ◽  
Lattice Quantum ◽  
Spacetime Interval ◽  
Matter Fields

Quantum gravitational effects suggest a minimal length, or spacetime interval, of order of the Planck length. This in turn suggests that Hilbert space itself may be discrete rather than continuous. One implication is that quantum states with norm below some very small threshold do not exist. The exclusion of what Everett referred to as maverick branches is necessary for the emergence of the Born Rule in no collapse quantum mechanics. We discuss this in the context of quantum gravity, showing that discrete models (such as simplicial or lattice quantum gravity) indeed suggest a discrete Hilbert space with minimum norm. These considerations are related to the ultimate level of fine-graining found in decoherent histories (of spacetime geometry plus matter fields) produced by quantum gravity.

scholarly journals Lattice quantum gravity with scalar fields

2019 ◽  
Author(s):  
Raghav Govind Jha ◽  
Jack Laiho ◽  
Judah Unmuth-Yockey
Keyword(s):  
Quantum Gravity ◽  
Scalar Fields ◽  
Lattice Quantum
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