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SUMMARY:Russell Thompson (University of Waterloo)
DTSTART:20230325T150000Z
DTEND:20230325T170000Z
DTSTAMP:20260423T011055Z
UID:QMFNoT/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QMFNoT/46/">
 Quantum Mechanics from a Holographic Principle</a>\nby Russell Thompson (U
 niversity of Waterloo) as part of QM Foundations & Nature of Time seminar\
 n\n\nAbstract\nIn 1953\, Richard Feynman introduced a mathematical trick t
 hrough which quantum mechanical many-body problems could be solved using c
 lassical statistical mechanics by treating the inverse of the thermal ener
 gy in the partition function as an imaginary time dimension (a Wick rotati
 on). This opened the door for modern quantum simulation methods such as pa
 th integral Monte Carlo\, centroid molecular dynamics and ring polymer mol
 ecular dynamics which are solved classically by using the extra\, fictitio
 us\, dimension. Practitioners of this quantum-classical isomorphism often 
 refer to the quantum particles they are simulating as “ring polymers” 
 since the imaginary time parameter describes a one-dimensional trajectory 
 that starts and stops at the same position in space\, forming a closed loo
 p when projected into 3D. It has been shown that polymer self-consistent f
 ield theory (SCFT) also obeys the quantum-classical isomorphism\, and is\,
  under the right conditions\, also equivalent to quantum density functiona
 l theory (DFT). Since the theorems of DFT guarantee equivalence between th
 e predictions of DFT and those of of quantum mechanics\, the mathematics o
 f SCFT in a 5D thermal-space-time must be dual to those of 4D non-relativi
 stic quantum mechanics — a holographic principle. This requires speculat
 ing that Feynman’s thermal dimension is physically real instead of just 
 a trick of the math. The 5D picture requires fewer postulates than most de
 scriptions of quantum mechanics and uses only classical concepts\, albeit 
 in a higher dimensional space. I will give an introductions to the SCFT ap
 proach\, show some numerical solutions to the non-linear SCFT equations\, 
 and consider the prospects\, applications and significant limitations of t
 he methodology.\n
LOCATION:https://researchseminars.org/talk/QMFNoT/46/
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