Quantum Indeterminacy of Emergent Spacetime
| dc.creator | Hogan, Craig J. | |
| dc.date | 2007-10-22 | |
| dc.date | 2007-10-28 | |
| dc.date.accessioned | 2026-07-07T08:38:43Z | |
| dc.date.available | 2026-07-07T08:38:43Z | |
| dc.description | It is shown that nearly-flat 3+1D spacetime emerging from a dual quantum field theory in 2+1D displays quantum fluctuations from classical Euclidean geometry on macroscopic scales. A covariant holographic mapping is assumed, where plane wave states with wavevector k on a 2D surface map onto classical null trajectories in the emergent third dimension at an angle θ=l_P k relative to the surface element normal, where l_P denotes the Planck length. Null trajectories in the 3+1D world then display quantum uncertainty of angular orientation, with standard deviation Δθ=\sqrt{l_P/z} for longitudinal propagation distance z in a given frame. The quantum complementarity of transverse position at macroscopically separated events along null trajectories corresponds to a geometry that is not completely classical, but displays observable holographic quantum noise. A statistical estimator of the fluctuations from Euclidean behavior is given for a simple thought experiment based on measured sides of triangles. The effect can be viewed as sampling noise due to the limited degrees of freedom of such a theory, consistent with covariant bounds on entropy. | |
| dc.identifier | https://arxiv.org/abs/0710.4153 | |
| dc.identifier | http://arxiv.org/abs/0710.4153 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140827 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Astrophysics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quantum Indeterminacy of Emergent Spacetime | |
| dc.type | text |