scholarly journals Noncanonical quantization of gravity. I. Foundations of affine quantum gravity

1999 ◽  
Vol 40 (11) ◽  
pp. 5860-5882 ◽  
Author(s):  
John R. Klauder
Keyword(s):  
Quantum Gravity ◽  
Quantization Of Gravity

Conditional interpretation of time in quantum gravity and a time operator in relativistic quantum mechanics

2020 ◽  
Vol 35 (21) ◽  
pp. 2050114
Author(s):  
M. Bauer ◽  
C. A. Aguillón ◽  
G. E. García
Keyword(s):  
Quantum Mechanics ◽  
Quantum Gravity ◽  
Relativistic Quantum ◽  
Canonical Quantization ◽  
Time Operator ◽  
Relativistic Quantum Mechanics ◽  
Problem Of Time ◽  
Quantization Of Gravity ◽  
Dynamical Time ◽  
Spatial Coordinates

The problem of time in the quantization of gravity arises from the fact that time in Schrödinger’s equation is a parameter. This sets time apart from the spatial coordinates, represented by operators in quantum mechanics (QM). Thus “time” in QM and “time” in general relativity (GR) are seen as mutually incompatible notions. The introduction of a dynamical time operator in relativistic quantum mechanics (RQM), that follows from the canonical quantization of special relativity and that in the Heisenberg picture is also a function of the parameter [Formula: see text] (identified as the laboratory time), prompts to examine whether it can help to solve the disfunction referred to above. In particular, its application to the conditional interpretation of time in the canonical quantization approach to quantum gravity is developed.

TIME AND INTERPRETATIONS OF QUANTUM GRAVITY

2011 ◽  
Vol 20 (supp01) ◽  
pp. 3-86 ◽  
Author(s):  
KAREL V. KUCHAŘ
Keyword(s):  
Quantum Gravity ◽  
Physical Interpretation ◽  
Canonical Quantization ◽  
The State ◽  
Quantization Of Gravity

In canonical quantization of gravity, the state functional does not seem to depend on time. This hampers the physical interpretation of quantum gravity. I critically examine ten major attempts to circumvent this problem and discuss their shortcomings.

scholarly journals Analytic infinite derivative gravity, R2-like inflation, quantum gravity and CMB

2020 ◽  
Vol 29 (14) ◽  
pp. 2043018
Author(s):  
Alexey S. Koshelev ◽  
K. Sravan Kumar ◽  
Alexei A. Starobinsky
Keyword(s):  
Quantum Gravity ◽  
Early Universe ◽  
Small Time ◽  
Natural Question ◽  
Fundamental Physics ◽  
Trace Anomaly ◽  
Quantization Of Gravity ◽  
Theoretical Predictions ◽  
Infinite Derivative ◽  
Best Fit

Emergence of [Formula: see text] inflation, which is the best fit framework for CMB observations till date, comes from the attempts to attack the problem of quantization of gravity which in turn have resulted in the trace anomaly discovery. Further developments in trace anomaly and different frameworks aiming to construct quantum gravity indicate an inevitability of nonlocality in fundamental physics at small time and length scales. A natural question would be to employ the [Formula: see text] inflation as a probe for signatures of nonlocality in the early Universe physics. Recent advances of embedding [Formula: see text] inflation in a string theory inspired nonlocal gravity modification provide very promising theoretical predictions connecting the nonlocal physics in the early Universe and the forthcoming CMB observations.

scholarly journals From B-modes to quantum gravity and unification of forces

2014 ◽  
Vol 23 (12) ◽  
pp. 1441001 ◽  
Author(s):  
Lawrence M. Krauss ◽  
Frank Wilczek
Keyword(s):  
Quantum Mechanics ◽  
Quantum Gravity ◽  
Cosmic Microwave Background ◽  
Gravitational Waves ◽  
Empirical Evidence ◽  
Microwave Background ◽  
Empirical Basis ◽  
Quantization Of Gravity ◽  
The Universe ◽  
Unification Of Forces

It is commonly anticipated that gravity is subjected to the standard principles of quantum mechanics. Yet some — including Einstein — have questioned that presumption, whose empirical basis is weak. Indeed, recently Dyson has emphasized that no conventional experiment is capable of detecting individual gravitons. However, as we describe, if inflation occurred, the universe, by acting as an ideal graviton amplifier, affords such access. It produces a classical signal, in the form of macroscopic gravitational waves, in response to spontaneous (not induced) emission of gravitons. Thus recent BICEP2 observations of polarization in the cosmic microwave background (CMB) will, if confirmed, provide firm empirical evidence for the quantization of gravity. Their details also support quantitative ideas concerning the unification of strong, electromagnetic and weak forces, and of all these with gravity.

scholarly journals Can We Detect the Quantum Nature of Weak Gravitational Fields?

Universe ◽  
2021 ◽  
Vol 7 (11) ◽  
pp. 414
Author(s):  
Francesco Coradeschi ◽  
Antonia Micol Frassino ◽  
Thiago Guerreiro ◽  
Jennifer Rittenhouse West ◽  
Enrico Junior Schioppa
Keyword(s):  
General Relativity ◽  
Quantum Theory ◽  
Quantum Gravity ◽  
Gravitational Wave ◽  
Experimental Evidence ◽  
Theoretical Framework ◽  
Holy Grail ◽  
Gravitational Fields ◽  
Quantum Nature ◽  
Quantization Of Gravity

A theoretical framework for the quantization of gravity has been an elusive Holy Grail since the birth of quantum theory and general relativity. While generations of scientists have attempted to find solutions to this deep riddle, an alternative path built upon the idea that experimental evidence could determine whether gravity is quantized has been decades in the making. The possibility of an experimental answer to the question of the quantization of gravity is of renewed interest in the era of gravitational wave detectors. We review and investigate an important subset of phenomenological quantum gravity, detecting quantum signatures of weak gravitational fields in table-top experiments and interferometers.

TELEPARALLELIZED AND AFFINE THEORIES OF GRAVITY: NEW PERSPECTIVES FOR MACHIAN AND QUANTUM GRAVITY

2002 ◽  
Vol 17 (29) ◽  
pp. 4153-4160 ◽  
Author(s):  
HORST-HEINO VON BORZESZKOWSKI
Keyword(s):  
Quantum Gravity ◽  
Canonical Quantization ◽  
Mach's Principle ◽  
Mach’S Principle ◽  
Quantization Of Gravity ◽  
Theories Of Gravity

We compare metric theories to theories with teleparallelism and affine theories of gravity in order to discuss perspectives in the canonical quantization of gravity opened by a realization of Mach's principle.

scholarly journals Using a Toy Model to Improve the Quantization of Gravity and Field Theories

2021 ◽  
Author(s):  
John Klauder
Keyword(s):  
Field Theory ◽  
Quantum Gravity ◽  
Positive Result ◽  
Harmonic Oscillator ◽  
Canonical Quantization ◽  
Field Theories ◽  
Quantization Procedure ◽  
Quantization Of Gravity

A half-harmonic oscillator, which gets its name because the coordinate is strictly positive, has been quantized and determined that it was a physically correct quantization. This positive result was found using affine quantization (AQ). The main purpose of this paper is to compare results of this new quantization procedure with those of canonical quantization (CQ). Using Ashtekar-like classical variables and CQ, we quantize the same toy model. While these two quantizations lead to different results, they both would reduce to the same classical Hamiltonian if $\hbar\rightarrow0$. Since these two quantizations have differing results, only one of the quantizations can be physically correct. Two brief sections illustrate how AQ can correctly help quantum gravity and the quantization of most field theory problems.

Topology knots and hierarchy problem

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Quantum Theory ◽  
String Theory ◽  
Quantum Gravity ◽  
Dimensional Space ◽  
Space Time ◽  
Elementary Particles ◽  
Hierarchy Problem ◽  
Topological Quantum ◽  
Dimensional Space Time ◽  
New Formula

Many approaches to quantum gravity consider the revision of the space-time geometry and the structure of elementary particles. One of the main candidates is string theory. It is possible that this theory will be able to describe the problem of hierarchy, provided that there is an appropriate Calabi-Yau geometry. In this paper we will proceed from the traditional view on the structure of elementary particles in the usual four-dimensional space-time. The only condition is that quarks and leptons should have a common emerging structure. When a new formula for the mass of the hierarchy is obtained, this structure arises from topological quantum theory and a suitable choice of dimensional units.

Braking effect in quantum gravity

2020 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Quantum Gravity

Braking effect in quantum gravity

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