Ringing the eigenmodes from compact manifolds
Neil J. Cornish, Neil G. Turok (DAMTP, Cambridge University)
TL;DR
This paper introduces a method to compute eigenmodes of the Laplace operator on compact manifolds, enabling simulations in cosmology and studies in chaos theory.
Contribution
The paper presents a novel general technique for finding Laplace eigenmodes on any compact manifold, applicable to cosmology and chaos research.
Findings
Method successfully computes eigenmodes for various manifolds
Enables accurate simulations of cosmic microwave background fluctuations
Facilitates studies of chaotic mixing and quantum chaos
Abstract
We present a method for finding the eigenmodes of the Laplace operator acting on any compact manifold. The procedure can be used to simulate cosmic microwave background fluctuations in multi-connected cosmological models. Other applications include studies of chaotic mixing and quantum chaos.
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