## Did I Really Invent Modern Quantum Cosmology? Yes I did.

by Tommy on 20/05/2017Like the term ‘autobiogenesis’, I did do a superficial search of the term ‘quantum cosmology’ after I coined it. It turned up in the modern era by a loop quantum gravity enthusiast, a theory (hypothesis) to which I do not subscribe. But looking back further I noticed that the ArXiv also has a General Relativity – Quantum Cosmology catagory (gr-qc) which seems to have been active as far back as 2002. Searching around, it seems to have been a fallout of this paper by David Wiltshire of the University of Adelaide and Canterbury, derived from as far back as 1995.

https://arxiv.org/abs/gr-qc/0101003

An introduction to quantum cosmology, D.L. Wiltshire, Published in “Cosmology: the Physics of the Universe”, Eds. B. Robson, N. Visvanathan and W.S. Woolcock (World Scientific, Singapore, 1996, pp 473-531) (3 September 2003)

This is an introductory set of lecture notes on quantum cosmology, given in 1995 to an audience with interests ranging from astronomy to particle physics. Topics covered: 1. Introduction: 1.1 Quantum cosmology and quantum gravity; 1.2 A brief history of quantum cosmology. 2. Hamiltonian formulation of general relativity: 2.1 The 3+1 decomposition; 2.2 The action. 3. Quantisation: 3.1 Superspace; 3.2 Canonical quantisation; 3.3 Path integral quantisation; 3.4 Minisuperspace; 3.5 The WKB approximation; 3.6 Probability measures; 3.7 Minisuperspace for the Friedmann universe with massive scalar field. 4. Boundary Conditions: 4.1 The no-boundary proposal; 4.2 The tunneling proposal. 5. The predictions of quantum cosmology: 5.1 The period of inflation; 5.2 The origin of density perturbations; 5.3 The arrow of time.

**Note**: These summer school lecture notes have been available for 5 years; but are being placed on the archive to make them more easily accessible.

**See also**: The Masters Thesis of Michael Patrick Cooke at Imperial College London

An Introduction to Quantum Cosmology, Michael Patrick Cooke, Master Thesis, Imperial College London (24 September 2010)

So this is really ‘old school’ quantum cosmology. What I did was port over the entire bulk of the machinery of the topological quantum field theory of condensed matter physics and dumped it into cosmology. And then I used that result to rediscover the cosmic QCD axion and then firmly established it as a microwave gravitational axion using that same mathematical machinery. But certainly Wiltshire’s exposition is useful as a historical starting point for this entirely new domain of quantum cosmology which has now been officially updated to these more modern standards.

Witness – the cosmic inflation war. I also notice David Wiltshire was an early proponent of inhomogeneous structure evolution as a basis for the mimicking of aspects of dark energy.