What is it about?

In this paper, we successfully quantized the small variations about a well-known cosmological model of the Universe, known as the Taub model. We succeed in visualizing the the actual quantum squeezed states for the first time.

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Why is it important?

This paper succeeds in making connection with our previous work (Classical and Quantum Gravity 32 075006, http://dx.doi.org/10.1088/0264-9381/32/7/075006), even though we started from the Jacobi method of second variation. Thus, it adds strength to the claims made in the first paper, viz. “an entirely new approach to canonical quantum gravity that is generally applicable, thus representing a significant advance in the Wheeler–DeWitt approach to quantum gravity.”

Perspectives

With this second paper, I set out to answer the question: “can we make connection to our first paper from the point of view of linearization, thus helping us to interpret the excited states as discovered in the first paper?” I believe that this paper points the way forward to make such an interpretation possible in future research.

Dr Joseph Hongchul Bae

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This page is a summary of: Quantizing the homogeneous linear perturbations about Taub using the Jacobi method of second variation and the method of invariants, Classical and Quantum Gravity, June 2015, Institute of Physics Publishing,
DOI: 10.1088/0264-9381/32/14/145002.
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