scholarly journals Quantum mechanics of gravitational collapse

1992 ◽  
Vol 150 (3) ◽  
pp. 545-559 ◽  
Author(s):  
P. Hajicek
Keyword(s):  
Quantum Mechanics ◽  
Gravitational Collapse

A MODEL OF QUANTUM GRAVITATIONAL COLLAPSE

1991 ◽  
Vol 06 (15) ◽  
pp. 2693-2706 ◽  
Author(s):  
J. GREENSITE
Keyword(s):  
Quantum Mechanics ◽  
Scalar Field ◽  
Gravitational Collapse ◽  
Scale Factor ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Intrinsic Time ◽  
Infinite Range ◽  
Metric Scale

Some issues in the quantum mechanics of gravitational collapse are discussed in the framework of a simple minisuperspace model, consisting of a Friedman metric coupled to a massless scalar field. The model illustrates the role of intrinsic time coordinates in parametrizing gravitational collapse through a singularity, and the relevance of quantizing the metric scale factor over an infinite, rather than half-infinite, range.

scholarly journals MINIMUM LENGTH FROM FIRST PRINCIPLES

2005 ◽  
Vol 14 (12) ◽  
pp. 2195-2199 ◽  
Author(s):  
XAVIER CALMET ◽  
MICHAEL L. GRAESSER ◽  
STEPHEN D. H. HSU
Keyword(s):  
General Relativity ◽  
Quantum Mechanics ◽  
Gravitational Collapse ◽  
First Principles ◽  
Minimal Length ◽  
Minimum Length ◽  
Position Operator ◽  
Planck Length ◽  
Gedanken Experiment ◽  
Hoop Conjecture

We show that no device or gedanken experiment is capable of measuring a distance less than the Planck length. By "measuring a distance less than the Planck length" we mean, technically, resolve the eigenvalues of the position operator to within that accuracy. The only assumptions in our argument are causality, the uncertainty principle from quantum mechanics and a dynamical criteria for gravitational collapse from classical general relativity called the hoop conjecture. The inability of any gedanken experiment to measure a sub-Planckian distance suggests the existence of a minimal length.

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