scholarly journals Quantum cosmology with varying speed of light: Canonical approach

2008 ◽  
Vol 660 (1-2) ◽  
pp. 1-6 ◽  
Author(s):  
P. Pedram ◽  
S. Jalalzadeh
Keyword(s):  
Quantum Cosmology ◽  
Speed Of Light ◽  
Canonical Approach

scholarly journals Quantum cosmology with varying speed of light and Bohmian trajectories

2007 ◽  
Vol 39 (6) ◽  
pp. 795-813 ◽  
Author(s):  
F. Shojai ◽  
S. Molladavoudi
Keyword(s):  
Quantum Cosmology ◽  
Speed Of Light ◽  
Bohmian Trajectories

scholarly journals The time measurement problem in quantum cosmology

2017 ◽  
Vol 26 (12) ◽  
pp. 1743011
Author(s):  
Nirmalya Kajuri
Keyword(s):  
Quantum Cosmology ◽  
Measurement Problem ◽  
Time Measurement ◽  
Conditional Probabilities ◽  
Problem Of Time ◽  
Quantization Of Gravity ◽  
Canonical Approach

In the canonical approach to quantization of gravity, one often uses relational clock variables and an interpretation in terms of conditional probabilities to overcome the problem of time. In this essay, we show that these suffer from serious conceptual issues.

scholarly journals Silent initial conditions for cosmological perturbations with a change of spacetime signature

2018 ◽  
Vol 27 (05) ◽  
pp. 1850050 ◽  
Author(s):  
Jakub Mielczarek ◽  
Linda Linsefors ◽  
Aurelien Barrau
Keyword(s):  
Quantum Cosmology ◽  
Transition Point ◽  
Initial Conditions ◽  
Vacuum State ◽  
Cosmological Perturbations ◽  
Speed Of Light ◽  
Scale Invariant ◽  
Poincaré Algebra ◽  
The One ◽  
Initial Power

Recent calculations in loop quantum cosmology suggest that a transition from a Lorentzian to a Euclidean spacetime might take place in the very early universe. The transition point leads to a state of silence, characterized by a vanishing speed of light. This behavior can be interpreted as a decoupling of different space points, similar to the one characterizing the BKL phase. In this study, we address the issue of imposing initial conditions for the cosmological perturbations at the transition point between the Lorentzian and Euclidean phases. Motivated by the decoupling of space points, initial conditions characterized by a lack of correlations are investigated. We show that the “white noise” gains some support from analysis of the vacuum state in the deep Euclidean regime. Furthermore, the possibility of imposing the silent initial conditions at the trans-Planckian surface, characterized by a vanishing speed for the propagation of modes with wavelengths of the order of the Planck length, is studied. Such initial conditions might result from the loop deformations of the Poincaré algebra. The conversion of the silent initial power spectrum to a scale-invariant one is also examined.

scholarly journals GENERALIZED QUANTIZATION PRINCIPLE IN CANONICAL QUANTUM GRAVITY AND APPLICATION TO QUANTUM COSMOLOGY

2012 ◽  
Vol 27 (20) ◽  
pp. 1250106 ◽  
Author(s):  
MARTIN KOBER
Keyword(s):  
Quantum Gravity ◽  
Quantum Cosmology ◽  
Dynamical Behavior ◽  
Generalized Uncertainty Principle ◽  
Heisenberg Algebra ◽  
Polynomial Method ◽  
Canonical Approach ◽  
Canonical Quantum Gravity ◽  
Canonical Quantum ◽  
Quantization Principle

In this paper, a generalized quantization principle for the gravitational field in canonical quantum gravity, especially with respect to quantum geometrodynamics is considered. This assumption can be interpreted as a transfer from the generalized uncertainty principle in quantum mechanics, which is postulated as generalization of the Heisenberg algebra to introduce a minimal length, to a corresponding quantization principle concerning the quantities of quantum gravity. According to this presupposition there have to be given generalized representations of the operators referring to the observables in the canonical approach of a quantum description of general relativity. This also leads to generalized constraints for the states and thus to a generalized Wheeler–DeWitt equation determining a new dynamical behavior. As a special manifestation of this modified canonical theory of quantum gravity, quantum cosmology is explored. The generalized cosmological Wheeler–DeWitt equation corresponding to the application of the generalized quantization principle to the cosmological degree of freedom is solved by using Sommerfelds polynomial method.

The Uncertainty Principle Derived by The Finite Transmission Speed of Light and Information

2014 ◽  
Vol 3 (3) ◽  
pp. 257-266 ◽  
Author(s):  
Piero Chiarelli
Keyword(s):  
Uncertainty Principle ◽  
Large Scale ◽  
Uncertainty Relations ◽  
Speed Of Light ◽  
Energy Fluctuation ◽  
Hydrodynamic Analogy ◽  
Non Local ◽  
Minimum Uncertainty ◽  
Quantum Hydrodynamic ◽  
Transmission Speed

This work shows that in the frame of the stochastic generalization of the quantum hydrodynamic analogy (QHA) the uncertainty principle is fully compatible with the postulate of finite transmission speed of light and information. The theory shows that the measurement process performed in the large scale classical limit in presence of background noise, cannot have a duration smaller than the time need to the light to travel the distance up to which the quantum non-local interaction extend itself. The product of the minimum measuring time multiplied by the variance of energy fluctuation due to presence of stochastic noise shows to lead to the minimum uncertainty principle. The paper also shows that the uncertainty relations can be also derived if applied to the indetermination of position and momentum of a particle of mass m in a quantum fluctuating environment.

A Relativistic Newtonian Mechanics Predicts with Precision the Results of Recent Neutrino-Velocity Experiments

2014 ◽  
Vol 6 (1) ◽  
pp. 1032-1035 ◽  
Author(s):  
Ramzi Suleiman
Keyword(s):  
Null Hypothesis ◽  
Experimental Studies ◽  
Theoretical Models ◽  
Newtonian Mechanics ◽  
Speed Of Light ◽  
Symmetry Principle ◽  
Proposed Model ◽  
Significant Difference ◽  
The One ◽  
Complete Collapse

The research on quasi-luminal neutrinos has sparked several experimental studies for testing the "speed of light limit" hypothesis. Until today, the overall evidence favors the "null" hypothesis, stating that there is no significant difference between the observed velocities of light and neutrinos. Despite numerous theoretical models proposed to explain the neutrinos behavior, no attempt has been undertaken to predict the experimentally produced results. This paper presents a simple novel extension of Newton's mechanics to the domain of relativistic velocities. For a typical neutrino-velocity experiment, the proposed model is utilized to derive a general expression for . Comparison of the model's prediction with results of six neutrino-velocity experiments, conducted by five collaborations, reveals that the model predicts all the reported results with striking accuracy. Because in the proposed model, the direction of the neutrino flight matters, the model's impressive success in accounting for all the tested data, indicates a complete collapse of the Lorentz symmetry principle in situation involving quasi-luminal particles, moving in two opposite directions. This conclusion is support by previous findings, showing that an identical Sagnac effect to the one documented for radial motion, occurs also in linear motion.

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