Probability-Possibility Transformation under Perspective of Random-fuzzy Dual Interpretation of Unknown Uncertainty

8 pages

Probability-Possibility Transformation under Perspective of Random-fuzzy Dual Interpretation of Unknown Uncertainty

8 pages

Tidal excitation as mixing in thermal CFT

We use mixed correlators in thermal CFT as clean probes of the strong gravity effects in their holographic duals. The dual interpretation of mixing is an inelastic conversion of one field to another field, induced by gravity: tidal excitation. We find an enhanced mixing at high temperatures, corresponding to large AdS black holes, concentrated to small boundary momenta, dual to the deep bulk, where strong gravitational fields are expected. We also find large $$ \mathcal{O}\left(1/{G}_N\right) $$ O 1 / G N tidal conversion in the low temperature phase of the U(N) vector model, strengthening suspicions that the bulk dual of this phase also houses extremely compact objects.

Dynamical Properties and Conceptual Interpretation of Latent Change Score Models

Latent Change Score models (LCS) are a popular tool for the study of dynamics in longitudinal research. They represent processes in which the short-term dynamics have direct and indirect consequences on the long-term behavior of the system. However, this dual interpretation of the model parameters is usually overlooked in the literature, and researchers often find it difficult to see the connection between parameters and specific patterns of change. The goal of this paper is to provide a comprehensive examination of the meaning and interpretation of the parameters in LCS models. Importantly, we focus on their relation to the shape of the trajectories and explain how different specifications of the LCS model involve particular assumptions about the mechanisms of change. On a supplementary website, we present an interactive Shiny App that allows users to explore different sets of parameter values and examine their effects on the predicted trajectories. We also include fully explained code to estimate some of the most relevant specifications of the LCS model with the R-packages lavaan and OpenMx.

Rescuing a black hole in the large-q coupled SYK model

In this paper, we develop a general effective theory for two copies of the Sachdev-Ye-Kitaev (SYK) model with a time-dependent bilinear coupling. For a quantum quench problem with an initial state of the thermofield double state, we show how the evolution of the system is described by a complex reparametrization field with a classical Hamiltonian. We study correlation functions in this system and compare the large-q theory with the bulk low energy effective theory. In particular, we study the special case of a “rescued black hole”, which describes how a time-evolved thermofield double state can evolve to the ground state of a coupled SYK model by a carefully tuned time-dependent coupling. In the low energy region, there is a holographic dual interpretation, which is a geometry that crosses over from an eternal black hole to a global AdS2 vacuum. This family of geometries allow us to access the bulk region that would be the black hole interior without the rescue process. By comparing the large-q and low energy theory, we find that even in the low energy region the deviation from the low energy theory cannot be neglected if the rescue process starts late. This provides evidence that the low energy effective theory of the bulk fails near the inner horizon of the black hole. We note the possibility of a connection to a two-dimensional analog of the higher-dimensional black hole singularity.

Kafâ’ah Contextualization in an Effort to Form Harmonious Family in the Modern Era: An Analysis Of Fazlur Rahman's Double Movement

Kafā’ah is a marriage law that has relatively little attention from Islamic jurists. This is because kafā’ah is less adaptable to changes in people's lives. Because kafā’ah is identical with the Arab cultural heritage before Islam. But factually this kafā’ah is still a legacy in the books of the fuqaha'. This research is focused on revealing the relevance of the concept of the kafā’ah of the fuqaha' with the changing times of the modern era. As well as how to contextualize the concept of kafā’ah in this modern era so that it truly becomes a path to family harmony. In uncovering the problem, the double movement theory or Fadzlurrahman dual interpretation is used, in which this interpretation becomes the knife of analysis by revealing how the current condition of the kafā’ah is then drawn to the kafā’ah of the past and how the response of the Qur'an and the Sunnah. Then the moral values of the Qur'an and the Sunnah are taken using reasoning ratios so that conclusions can be drawn in accordance with current needs. The conclusion of this research is that the concept of kafā’ah in the book of fiqh is not relevant to the needs of this modern era, where kafā’ah in the modern era is more interpreted in terms of equality and ability (competence) to get married, which is different from the kafā’ah of the past which is more nuanced feudalistic.

Linguistic Means of Misrepresentation or Fictitious Permissions in Structures of Civil Law Contracts

The article raises the problem of the use of language tools in the conclusion of contracts, allowing to mislead contractors. The author analyzes the normative and linguistic prerequisites that contribute to the emergence of the possibility of dual interpretation of treaties. A detailed analysis of the legal doctrine and legal acts is carried out. The attention is focused on the rules of law in which incorrect use of the Russian language can not only lead to double current, but also mislead the subject of interpretation. Indicates the issue of double meaning of legal terms, and different interpretation of concepts from the point of view of the Russian language and the Russian legal language. The author studies various means of the Russian language used in the drafting of the text of contracts. There is a critical attitude to the use of evaluative concepts by the legislator, which do not have a clear semantic content and can vary significantly among different subjects of law. The problem of inclusion in the content of the contract of “as if” dispositive and “as if” permissive rules that mislead the party to the agreement is raised. Analyses of the situation to include the erroneous statements due to incorrect syntactic construction of the text of the article. Proposals are made to eliminate the problems associated with the use of language tools in the conclusion of contracts.

Knitting wormholes by entanglement in supergravity

We construct a single-boundary wormhole geometry in type IIB supergravity by perturbing two stacks of N extremal D3-branes in the decoupling limit. The solution interpolates from a two-sided planar AdS-Schwarzschild geometry in the interior, through a harmonic two-center solution in the intermediate region, to an asymptotic AdS space. The construction involves a CPT twist in the gluing of the wormhole to the exterior throats that gives a global monodromy to some coordinates, while preserving orientability. The geometry has a dual interpretation in $$ \mathcal{N} $$ N = 4 SU(2N) Super Yang-Mills theory in terms of a Higgsed SU(2N) → S(U(N) × U(N)) theory in which $$ \mathcal{O} $$ O (N2) degrees of freedom in each SU(N) sector are entangled in an approximate thermofield double state at a temperature much colder than the Higgs scale. We argue that the solution can be made long-lived by appropriate choice of parameters, and comment on mechanisms for generating traversability. We also describe a construction of a double wormhole between two universes.