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![Slicing the Vacuum
A new simple symmetric solution to the
dynamical Casimir effect
Michael R.R. Good
Nazarbayev University
ECL17: Exploring the Energetic Universe 2017
Nazarbayev University, Astana, August 2017
Grants: US DOE: DE-SC-0007867, D-AC02-05CH11231
JSF 15-07-0000, ORAU and Social Policy
Talk based on: [Michael Good and Eric Linder] 1605.0663 [gr-cq]](https://image.slidesharecdn.com/eclaugust20172-170817060639/85/Ecl-august-2017-2-1-320.jpg)
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- 1. Slicing the Vacuum Anew simple symmetric solution to the dynamical Casimir effect Michael R.R. Good Nazarbayev University ECL17: Exploring the Energetic Universe 2017 Nazarbayev University, Astana, August 2017 Grants: US DOE: DE-SC-0007867, D-AC02-05CH11231 JSF 15-07-0000, ORAU and Social Policy Talk based on: [Michael Good and Eric Linder] 1605.0663 [gr-cq]
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- 4. Reflections on BlackMirrors Hawking, S. W. “Particle Creation by Black Holes”, CMP, 1975
- 5. The Model • MasslessParticles • Scalar Field • 1+1 Dimensions • Non-interacting • Minimally Coupled • Klein-Gordon Equ. • Davies, P. C. W and S. A. Fulling “Radiation from Moving Mirrors and Black Holes”, PRS, 1976, 77
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- 14. Consistency Check Walker, W.R. “Particleand Energy Creation by Moving Mirrors”. PRD, 1985
- 15. Consistency Check Walker, W.R. “Particleand Energy Creation by Moving Mirrors”. PRD, 1985
- 16. Consistency Check Walker, W.R. “Particleand Energy Creation by Moving Mirrors”. PRD, 1985
- 17. Apples and Oranges •Must not accelerate forever. • Must be asymptotically inertial. • Must emit negative energy flux.
- 18. Good, M.R.R., Anderson,P.R., and Evans, C.R. “Mirror Reflections of a Black Hole” ,PRD, 2016.
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- 36. Conclusions • A finitesymmetric analytic model exists. • The simplest example of Casimir light. • An eternal red-shift indicates a remnant. • A fast speed indicates a temperature.
- 38. Entropy and Rapidity Good,M. R. R. and Y. C. Ong “A Black Hole Death Gasp”, JHEP, 2015
- 43. Carlitz R.D. andR.S. Willey, “Reflections on Moving Mirrors”. PRD, 1987
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- 49. Good, M.R.R., Anderson,P.R., and Evans, C.R. “Mirror Reflections of a Black Hole” ,PRD, 2016.
Editor's Notes
- #4 Motion Induced Radiation (MIR) Schwinger Radiation Casimir Light Moving Mirrors Non-stationary Casimir Effect Davies-Fulling Effect
- #5 At late times, it is well known that the moving mirror and black hole give off thermal emission. In the curved spacetime result, the kappa is the surface gravity, while in the flat spacetime + boundary condition result, the kappa is an acceleration parameter.
- #37 Effects of acceleration will yield insights into the effects of gravitation. It is my hope that further study of these simple, exactly solvable, moving mirror models will enhance our understanding of the particle and energy creation due to amplification of field fluctuations by strongly time dependent accelerations, or in the case of black hole evaporation, strong time dependent gravitational fields. Moving mirrors provide a simple laboratory to construct the mathematical machinery needed to understand the time evolution of black hole evaporation. And I’m optimistic that results like this will shed light on he dynamical Casimir effect, and black hole evaporation.
- #44 But again, these eternal thermal moving mirror solutions don’t offer any non-equilibrium thermodynamics. Let’s take a look at what non-thermal moving mirror solutions can look like.
- #45 The maximum of the distribution! Gives the product log.
- #48 Entering Segway: These non-eternally thermal solutions have interesting early time behaviour. Both in terms of energy flux and particle creation. Exiting Segway: Let’s look at the exact correspondence and briefly investigate the meaning of the mirror trajectory in the black hole case.
- #49 Entering Segway: These non-eternally thermal solutions have interesting early time behaviour. Both in terms of energy flux and particle creation. Exiting Segway: Let’s look at the exact correspondence and briefly investigate the meaning of the mirror trajectory in the black hole case.