scholarly journals Canonical analysis of Brans-Dicke theory addresses Hamiltonian inequivalence between the Jordan and Einstein frames

2021 ◽  
Vol 103 (2) ◽  
Author(s):  
Gabriele Gionti S. J.
Keyword(s):  
Canonical Analysis ◽  
Jordan And Einstein Frames

Functional Canonical Analysis Between Functional and Interval Data

2009 ◽  
Author(s):  
Yow-Jen Jou ◽  
Chien-Chia Huang ◽  
Jennifer Yuh-Jen Wu ◽  
George Maroulis ◽  
Theodore E. Simos
Keyword(s):  
Interval Data ◽  
Canonical Analysis

Preliminary studies in the taxonomy of Danthonia in Canada

1973 ◽  
Vol 51 (2) ◽  
pp. 437-450 ◽  
Author(s):  
B. R. Baum ◽  
Judy N. Findlay
Keyword(s):  
Canonical Analysis ◽  
Herbarium Material ◽  
Geographical Factor ◽  
Canonical Analyses

Representative Canadian herbarium material of Danthonia was studied morphologically and micromorphologically. Characters used by previous authors were reexamined. Among the new characters studied the lodicule patterns were found to be very useful for discrimination. Canonical analyses were performed excluding input of lodicule patterns, but with the incorporation of various other lodicule attributes. As a result, five species are recognized for Canada; a key and a map of distribution are given. An additional canonical analysis with the inclusion of latitude and longitude added as input has shown that the geographical factor is insignificant.

Phase space correspondence between Jordan and Einstein frames

2021 ◽  
pp. 2150087
Author(s):  
Amin Salehi
Keyword(s):  
Phase Space ◽  
Critical Point ◽  
Critical Points ◽  
Dynamical Behavior ◽  
Cosmological Parameters ◽  
Jordan Frame ◽  
Field Equations ◽  
Theories Of Gravity ◽  
The Stability ◽  
Jordan And Einstein Frames

Scalar–tensor theories of gravity can be formulated in the Einstein frame or in the Jordan frame (JF) which are related with each other by conformal transformations. Although the two frames describe the same physics and are equivalent, the stability of the field equations in the two frames is not the same. Here, we implement dynamical system and phase space approach as a robustness tool to investigate this issue. We concentrate on the Brans–Dicke theory in a Friedmann–Lemaitre–Robertson–Walker universe, but the results can easily be generalized. Our analysis shows that while there is a one-to-one correspondence between critical points in two frames and each critical point in one frame is mapped to its corresponds in another frame, however, stability of a critical point in one frame does not guarantee the stability in another frame. Hence, an unstable point in one frame may be mapped to a stable point in another frame. All trajectories between two critical points in phase space in one frame are different from their corresponding in other ones. This indicates that the dynamical behavior of variables and cosmological parameters is different in two frames. Hence, for those features of the study, which focus on observational measurements, we must use the JF where experimental data have their usual interpretation.

The Measurement of Relationships between Regional Structure and its Evolution

1980 ◽  
Vol 12 (1) ◽  
pp. 3-20
Author(s):  
H Beguin
Keyword(s):  
Component Analysis ◽  
Canonical Analysis ◽  
Regional Structure ◽  
Good Tool ◽  
Methodological Problems ◽  
Simultaneous Use

Using a regional case study, the paper investigates some methodological problems concerning the measure of the relationships between two sets of variables. Canonical analysis seems a good tool, but discussion of its advantages and drawbacks shows it is not fully satisfactory. Other methods are tested and their efficiency discussed: Regression, joint-set component analysis, canonical-subspace interpretation by communalities, component-based redundancy. In conclusion, simultaneous use of canonical analysis and other methods is recommended since their results appear complementary.

On the Canonical Analysis of Contingency Tables

1980 ◽  
Vol 40 (1) ◽  
pp. 95-99 ◽  
Author(s):  
Henry F. Kaiser ◽  
Barbara A. Cerny
Keyword(s):  
Contingency Tables ◽  
Canonical Analysis
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