The classical limit of Schrödinger operators in the framework of Berezin quantization and spontaneous symmetry breaking as an emergent phenomenon

The algebraic properties of a strict deformation quantization are analyzed on the classical phase space [Formula: see text]. The corresponding quantization maps enable us to take the limit for [Formula: see text] of a suitable sequence of algebraic vector states induced by [Formula: see text]-dependent eigenvectors of several quantum models, in which the sequence converges to a probability measure on [Formula: see text], defining a classical algebraic state. The observables are here represented in terms of a Berezin quantization map which associates classical observables (functions on the phase space) to quantum observables (elements of [Formula: see text] algebras) parametrized by [Formula: see text]. The existence of this classical limit is in particular proved for ground states of a wide class of Schrödinger operators, where the classical limiting state is obtained in terms of a Haar integral. The support of the classical state (a probability measure on the phase space) is included in certain orbits in [Formula: see text] depending on the symmetry of the potential. In addition, since this [Formula: see text]-algebraic approach allows for both quantum and classical theories, it is highly suitable to study the theoretical concept of spontaneous symmetry breaking (SSB) as an emergent phenomenon when passing from the quantum realm to the classical world by switching off [Formula: see text]. To this end, a detailed mathematical description is outlined and it is shown how this algebraic approach sheds new light on spontaneous symmetry breaking in several physical models.

Emergent gravity and the quantum

In this essay, we show that if one starts with a universe with some matter and a cosmological constant, then quantum mechanics naturally induces an attractive gravitational potential and an effective Newton’s coupling. Thus, gravity is an emergent phenomenon and what should be quantized are the fundamental degrees of freedom from which it emerges.

Iterative Coordination and Innovation: Prioritizing Value over Novelty

An innovating organization faces the challenge of how to prioritize distinct goals of novelty and value, both of which underlie innovation. Popular practitioner frameworks like Agile management suggest that organizations can adopt an iterative approach of frequent meetings to prioritize between these goals, a practice we refer to as iterative coordination. Despite iterative coordination’s widespread use in innovation management, its effects on novelty and value in innovation remain unknown. With the information technology firm Google, we embed a field experiment within a hackathon software development competition to identify the effect of iterative coordination on innovation. We find that iterative coordination causes firms to implicitly prioritize value in innovation: Although iteratively coordinating firms develop more valuable products, these products are simultaneously less novel. Furthermore, by tracking software code, we find that iteratively coordinating firms favor integration at the cost of knowledge-creating specialization. A follow-on laboratory study documents that increasing the frequency and opportunities to reprioritize goals in iterative coordination meetings reinforces value and integration, while reducing novelty and specialization. This article offers three key contributions: highlighting how processes to prioritize among multiple performance goals may implicitly favor certain outcomes; introducing a new empirical methodology of software code version tracking for measuring the innovation process; and leveraging the emergent phenomenon of hackathons to study new methods of organizing.

Super-Chandrasekhar limiting mass white dwarfs as emergent phenomena of noncommutative squashed fuzzy spheres

The indirect evidence for at least a dozen massive white dwarfs (WDs) violating the Chandrasekhar mass limit is considered to be one of the wonderful discoveries in astronomy for more than a decade. Researchers have already proposed a diverse amount of models to explain this astounding phenomenon. However, each of these models always carries some drawbacks. On the other hand, noncommutative geometry is one of the best replicas of quantum gravity, which is yet to be proved from observations. Madore introduced the idea of a fuzzy sphere to describe a formalism of noncommutative geometry. This paper shows that the idea of a squashed fuzzy sphere can self-consistently explain the super-Chandrasekhar limiting mass WDs. We further show that the length scale beyond which the noncommutativity is prominent is an emergent phenomenon, and there is no prerequisite for an ad hoc length scale.

Modeling Complex Systems by Structural Invariants Approach

When modeling complex systems, we usually encounter the following difficulties: partiality, large amount of data, and uncertainty of conclusions. It can be said that none of the known approaches solves these difficulties perfectly, especially in cases where we expect emergences in the complex system. The most common is the physical approach, sometimes reinforced by statistical procedures. The physical approach to modeling leads to a complicated description of phenomena associated with a relatively simple geometry. If we assume emergences in the complex system, the physical approach is not appropriate at all. In this article, we apply the approach of structural invariants, which has the opposite properties: a simple description of phenomena associated with a more complicated geometry (in our case pregeometry). It does not require as much data and the calculations are simple. The price paid for the apparent simplicity is a qualitative interpretation of the results, which carries a special type of uncertainty. Attention is mainly focused (in this article) on the invariant matroid and bases of matroid (M, BM) in combination with the Ramsey graph theory. In addition, this article introduces a calculus that describes the emergent phenomenon using two quantities—the power of the emergent phenomenon and the complexity of the structure that is associated with this phenomenon. The developed method is used in the paper for modeling and detecting emergent situations in cases of water floods, traffic jams, and phase transition in chemistry.

Explanations of and in Time

Various approaches to quantum gravity render spacetime an emergent phenomenon, with the existence and properties of spacetime depending on a non-spatiotemporal underlying reality. This chapter investigates the mode of dependence that is involved. I explain and defend my recent proposal to classify different kinds of dependencies in terms of the principles mediating the dependency, and apply this proposal to the emergence of spacetime. While philosophers have typically interpreted spacetime emergence as involving metaphysical grounding, I show how premises that are widely endorsed lead us to classify the emergence of spacetime in loop quantum gravity as causal in nature. I recommend spacetime functionalism as a resolution of this puzzle that vindicates the natural view of spacetime emergence as non-causal. I then explore a different approach to spacetime emergence in quantum gravity, the ‘many-instant landscape’ scenario described by Gomes, and show how it fits into the proposed framework for spacetime emergence.

A Framework for a Sociological Description of the Communicative Interaction in Adults Who Stutter

Purpose The author presents a descriptive sociological framework for the communicative interaction between an adult who stutters (AWS) and other communication partners. The author shows that the communicative interaction between an AWS and another interactant is a sociological object that can be evaluated by both parties in real-time, and is impacted by settings, participants, identity, stigmatization, and the type of talk. These elements are consistent with Hymes' SPEAKING model, which was developed to describe speech communication in a social context and can lay the foundation for the development of an ethnography of stuttering. The clinical applications and implications of a sociological framework are discussed and future directions for research are suggested. Method This work is a refinement and enhancement of Mancinelli (2018) and Mancinelli (2019) and the research associated with that work. This is a tutorial with a clinical focus designed to introduce the readership to a sociological perspective on communicative interactions in AWS. Conclusions Stuttering is an emergent phenomenon embedded within a social interaction, necessitating a deeper understanding of the processes at work during those interactions. A sociological framework can provide a more comprehensive description of the communicative interactions as well as the sociocommunicative lives of people who stutter. The information obtained can inform the formulation of realistic, functional goals based on the daily life of the client. Implications for the development of an ethnography of stuttering are discussed.

Knowing who I am depends on who I've become: Linking self-concept clarity and temporal self-comparison

The current research examined how temporal self-comparisons influence self-concept clarity. In Studies 1 and 2, we updated and developed new measures of state self-concept clarity, including specific components identified in prior research. In both studies, participants' confidence in their judgments, as well as the consistency of those judgments, was associated with the self-reported state self-concept clarity. Using the new measures, Study 3 found that self-concept clarity was highest when participants engaged in temporal comparisons that focused on positive similarities between their past and present selves and when comparisons highlighted improvement over time. These findings suggest that self-concept clarity is an emergent phenomenon that arises from comparison-based self-evaluations that fit common lay theories about how the self develops over time.