Building a Genuine Quantum Gravity

@article{Klauder2020BuildingAG,
  title={Building a Genuine Quantum Gravity},
  author={John Klauder},
  journal={Journal of High Energy Physics, Gravitation and Cosmology},
  year={2020}
}
  • J. Klauder
  • Published 20 November 2018
  • Physics
  • Journal of High Energy Physics, Gravitation and Cosmology
An affine quantization approach leads to a genuine quantum theory of general relativity by extracting insights from a short list of increasingly more complex, soluble, perturbably nonrenormalizable models. 
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References

SHOWING 1-10 OF 22 REFERENCES
Quantum Physics
Introduction to the Principles of Quantum MechanicsBy S. Simons. Pp. vi + 116. (Logos Press, in association with Elek Books: London, 1968.) 42s boards; 25s paper.
Beyond Conventional Quantization
1. Introduction and overview 2. Classical mechanics 3. Hilbert space: the arena of quantum physics 4. Quantum mechanics 5. Scalar quantum field theory 6. Expanding the data base 7. Rotationally
Strong-coupling quantum gravity. I. Solution in a particular gauge
The strong-coupling limit of general relativity is quantized in a fixed gauge. An exact solution to the quantum field theory is given (it does not require any artifice such as a lattice), and the
Quantum field theory with no zero-point energy
A bstractTraditional quantum field theory can lead to enormous zero-point energy, which markedly disagrees with experiment. Unfortunately, this situation is built into conventional canonical
Recent results regarding affine quantum gravity
Recent progress in the quantization of nonrenormalizable scalar fields has found that a suitable non-classical modification of the ground state wave function leads to a result that eliminates
Enhanced Quantization: Particles, Fields & Gravity
Selected Topics in Classical Mechanics, Selected Topics in Quantum Mechanics Essentials of Enhanced Quantization Enhanced Affine Quantization and the Initial Cosmological Singularity Examples of
Universal procedure for enforcing quantum constraints
Scalar field quantization without divergences in all spacetime dimensions
Covariant, self-interacting scalar quantum field theories admit solutions for low enough spacetime dimensions, but when additional divergences appear in higher dimensions, the traditional approach
Proof of the Triviality of ϕ d 4 Field Theory and Some Mean-Field Features of Ising Models for d > 4
It is rigorously proved that the continuum limits of Euclidean ${\ensuremath{\phi}}_{d}^{4}$ lattice fields are free fields in $dg4$. An exact geometric characterization of criticality in Ising
Ultralocal scalar field models
In this paper the quantum theory of ultralocal scalar fields is developed. Such fields are distinguished by the independent temporal development of the field at each spacial point. Although the
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