scholarly journals Exploring the Components of the Universe Through Higher-Order Weak Lensing Statistics

10.5772/51871 ◽  
2012 ◽  
Author(s):  
Adrienne Leonard ◽  
Jean-Luc Starck ◽  
Sandrine Pires ◽  
Franois-Xavier Dup
Keyword(s):  
Higher Order ◽  
Weak Lensing ◽  
The Universe

scholarly journals Almost-homogeneity of the universe in higher-order gravity

1995 ◽  
Vol 27 (12) ◽  
pp. 1309-1321 ◽  
Author(s):  
David R. Taylor ◽  
Roy Maartens
Keyword(s):  
Higher Order ◽  
Higher Order Gravity ◽  
The Universe

scholarly journals Testing Predictions of the Quantum Landscape Multiverse 3: The Hilltop Inflationary Potential

Symmetry ◽  
2019 ◽  
Vol 11 (4) ◽  
pp. 520
Author(s):  
Eleonora Di Valentino ◽  
Laura Mersini-Houghton
Keyword(s):  
Quantum Entanglement ◽  
Lower Limit ◽  
Hubble Parameter ◽  
Susy Breaking ◽  
Weak Lensing ◽  
Planck Data ◽  
The Universe ◽  
Breaking Scale ◽  
Inflationary Models ◽  
Origin Of The Universe

Here we test the predictions of the theory of the origin of the universe from the landscape multiverse, against the 2015 Planck data, for the case of the Hilltop class of inflationary models, for p = 4 and p = 6 . By considering the quantum entanglement correction of the multiverse, we can place just a lower limit on the local ’SUSY-breaking’ scale, respectively b > 8.7 × 10 6 G e V at 95 % c.l. and b > 1.3 × 10 8 G e V at 95 % c.l. from Planck TT+lowP, so the case with multiverse correction is statistically indistinguishable from the case with an unmodified inflation. We find that the series of anomalies predicted by the quantum landscape multiverse for the allowed range of b, is consistent with Planck’s tests of the anomalies. In addition, the friction between the two cosmological probes of the Hubble parameter and with the weak lensing experiments goes away for a particular subset, the p = 6 case of Hilltop models.

scholarly journals Higher-order Lagrangian perturbative theory for the Cosmic Web

2014 ◽  
Vol 11 (S308) ◽  
pp. 119-120
Author(s):  
Takayuki Tatekawa ◽  
Shuntaro Mizuno
Keyword(s):  
Perturbation Theory ◽  
Fourth Order ◽  
Initial Conditions ◽  
Higher Order ◽  
Order Perturbation ◽  
Initial Condition ◽  
The Difference ◽  
Fifth Order ◽  
The Universe ◽  
Higher Order Lagrangian

AbstractZel'dovich proposed Lagrangian perturbation theory (LPT) for structure formation in the Universe. After this, higher-order perturbative equations have been derived. Recently fourth-order LPT (4LPT) have been derived by two group. We have shown fifth-order LPT (5LPT) In this conference, we notice fourth- and more higher-order perturbative equations. In fourth-order perturbation, because of the difference in handling of spatial derivative, there are two groups of equations. Then we consider the initial conditions for cosmological N-body simulations. Crocce, Pueblas, and Scoccimarro (2007) noticed that second-order perturbation theory (2LPT) is required for accuracy of several percents. We verify the effect of 3LPT initial condition for the simulations. Finally we discuss the way of further improving approach and future applications of LPTs.

Mapping the universe from weak lensing analysis

2000 ◽  
Vol 80 (1-3) ◽  
pp. 211-213
Author(s):  
Yannick Mellier ◽  
Uros Seljak
Keyword(s):  
Weak Lensing ◽  
The Universe

scholarly journals Measuring $\Omega_0$ with higher-order quasar-galaxy correlations induced by weak lensing

2003 ◽  
Vol 409 (2) ◽  
pp. 411-421 ◽  
Author(s):  
B. Ménard ◽  
M. Bartelmann ◽  
Y. Mellier
Keyword(s):  
Higher Order ◽  
Weak Lensing

scholarly journals CURVATURE QUINTESSENCE MATCHED WITH OBSERVATIONAL DATA

2003 ◽  
Vol 12 (10) ◽  
pp. 1969-1982 ◽  
Author(s):  
S. CAPOZZIELLO ◽  
V. F. CARDONE ◽  
S. CARLONI ◽  
A. TROISI
Keyword(s):  
High Redshift ◽  
Cosmological Parameters ◽  
Higher Order ◽  
Curved Space ◽  
Curvature Invariants ◽  
Loop Expansion ◽  
Higher Order Terms ◽  
Cosmological Data ◽  
Age Of The Universe ◽  
The Universe

Quintessence issues can be achieved by taking into account higher order curvature invariants into the effective action of gravitational field. Such an approach is naturally related to fundamental theories of quantum gravity which predict higher order terms in loop expansion of quantum fields in curved space-times. In this framework, we obtain a class of cosmological solutions which are fitted against cosmological data. We reproduce encouraging results able to fit high redshift supernovae and WMAP observations. The age of the universe and other cosmological parameters are discussed in this context.

scholarly journals Higher order statistics of weak lensing shear and flexion

2011 ◽  
Vol 411 (4) ◽  
pp. 2241-2258 ◽  
Author(s):  
Dipak Munshi ◽  
Joseph Smidt ◽  
Alan Heavens ◽  
Peter Coles ◽  
Asantha Cooray
Keyword(s):  
Order Statistics ◽  
Higher Order ◽  
Weak Lensing ◽  
Higher Order Statistics

scholarly journals RELATIVE PREDICATIVITY AND DEPENDENT RECURSION IN SECOND-ORDER SET THEORY AND HIGHER-ORDER THEORIES

2014 ◽  
Vol 79 (3) ◽  
pp. 712-732 ◽  
Author(s):  
SATO KENTARO
Keyword(s):  
Number Theory ◽  
Set Theory ◽  
Higher Order ◽  
Second Order ◽  
Order Number ◽  
Recursion Scheme ◽  
Transfinite Recursion ◽  
The Given ◽  
The Universe ◽  
Order Set

AbstractThis article reports that some robustness of the notions of predicativity and of autonomous progression is broken down if as the given infinite total entity we choose some mathematical entities other than the traditional ω. Namely, the equivalence between normal transfinite recursion scheme and new dependent transfinite recursion scheme, which does hold in the context of subsystems of second order number theory, does not hold in the context of subsystems of second order set theory where the universe V of sets is treated as the given totality (nor in the contexts of those of n+3-th order number or set theories, where the class of all n+2-th order objects is treated as the given totality).

Second- and higher-order logics

2018 ◽  
Author(s):  
Shaughan Lavine
Keyword(s):  
Predicate Logic ◽  
Higher Order ◽  
Second Order ◽  
Order Logic ◽  
First Order Logic ◽  
Third Order ◽  
First Order ◽  
Proof Systems ◽  
The Universe ◽  
Second Order Logic

In first-order predicate logic there are symbols for fixed individuals, relations and functions on a given universe of individuals and there are variables ranging over the individuals, with associated quantifiers. Second-order logic adds variables ranging over relations and functions on the universe of individuals, and associated quantifiers, which are called second-order variables and quantifiers. Sometimes one also adds symbols for fixed higher-order relations and functions among and on the relations, functions and individuals of the original universe. One can add third-order variables ranging over relations and functions among and on the relations, functions and individuals on the universe, with associated quantifiers, and so on, to yield logics of even higher order. It is usual to use proof systems for higher-order logics (that is, logics beyond first-order) that include analogues of the first-order quantifier rules for all quantifiers. An extensional n-ary relation variable in effect ranges over arbitrary sets of n-tuples of members of the universe. (Functions are omitted here for simplicity: remarks about them parallel those for relations.) If the set of sets of n-tuples of members of a universe is fully determined once the universe itself is given, then the truth-values of sentences involving second-order quantifiers are determined in a structure like the ones used for first-order logic. However, if the notion of the set of all sets of n-tuples of members of a universe is specified in terms of some theory about sets or relations, then the universe of a structure must be supplemented by specifications of the domains of the various higher-order variables. No matter what theory one adopts, there are infinitely many choices for such domains compatible with the theory over any infinite universe. This casts doubt on the apparent clarity of the notion of ‘all n-ary relations on a domain’: since the notion cannot be defined categorically in terms of the domain using any theory whatsoever, how could it be well-determined?

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