Two Approaches to Fractional Statistics in the Quantum Hall Effect: Idealizations and the Curious Case of the Anyon

Shech, Elay

doi:10.1007/s10701-015-9899-0

Cited by 24 publications

(15 citation statements)

References 88 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Other ostensible examples of infinite or infinitesimal idealizations include fractional quantum statistics as portrayed by anyons in the fractional quantum Hall effect (Shech, 2015a, 2018a, 2018b), superselection rules (Butterfield, ; Earman, ), fractals (Butterfield, ), catastrophe optics (Batterman, ), semiclassical mechanics (Batterman, ; Bokulich, ; Landsman, ), point‐particle idealizations in general relativity (Tamir, ; Wayne, ), thermodynamically reversible processes (Norton, ; Valente, ), and systems portraying indeterminism such as a dome with infinite curvature at its peak, an infinite array of masses and springs, and an infinite domino cascade (see Norton, , for these examples), as well as various supertasks (Manchak & Roberts, ).…”

Section: Examples Of Infinite and Essential Idealizations In Physicsmentioning

confidence: 99%

Infinite idealizations in physics

Shech

2018

Philosophy Compass

Self Cite

View full text Add to dashboard Cite

In this essay, I provide an overview of the debate on infinite and essential idealizations in physics. I will first present two ostensible examples: phase transitions and the Aharonov-Bohm effect. Then, I will describe the literature on the topic as a debate between two positions: Essentialists claim that idealizations are essential or indispensable for scientific accounts of certain physical phenomena, whiledispensabilists maintain that idealizations are dispensable from mature scientific theory. I will also identify some attempts at finding a middle ground between the essentialists and dispensabilists camps. Finally, I will raise questions for future research on essential and infinite idealizations via the notion of exploration.

show abstract

Section: Examples Of Infinite and Essential Idealizations In Physicsmentioning

confidence: 99%

Infinite idealizations in physics

Shech

2018

Philosophy Compass

Self Cite

View full text Add to dashboard Cite

show abstract

“…20 We thank an anonymous reviewer for having drawn our attention to these possible worries. 21 More on the 2-dimensional idealization can be found in Shech (2015).…”

Section: The Empirical Support For Transformational Emergencementioning

confidence: 99%

A new look at emergence. Or when after is different

Guay

Sartenaer

2016

Euro Jnl Phil Sci

View full text Add to dashboard Cite

In this paper, we put forward a new account of emergence called "transformational emergence". Such an account captures a variety of emergence that can be considered as being diachronic and weakly ontological. The fact that transformational emergence actually constitutes a genuine form of emergence is motivated. Besides, the account is free of traditional problems surrounding more usual, synchronic versions of emergence, and it can find a strong empirical support in a specific physical phenomenon, the fractional quantum Hall effect, which has long been touted as a paradigmatic case of emergence.

show abstract

“…13), Ezawa (2013) and Stern (2008), and for recent philosophical assessments see Bain (2013Bain ( , 2016, Sartenaer (2016a, 2016b), Lancaster and Pexton (2015), Lederer (2015), and Shech (2015).…”

mentioning

confidence: 99%

“…fractional statistics. Generally, I am sympathetic to this line of reasoning (Shech (2015)). However, it must be noted that it is conjectural and depends on speculations regarding what shape future scientific theory may take.…”

mentioning

confidence: 99%

“…My reply comes in three parts. First, although I'm very much sympathetic to the idea that the AB effect is not topological in nature it turns out to be non--trivial to argue for such a position (as is clear from Earman (2017) and my own Shech (2015Shech ( , 2017) and, in any case, this is not the well--received standard interpretation. Second, the problem is exacerbated in the context of anyons and fractional statistics since, as emphasized above, the explanatory story of the emergence of anyons told in Section 4.1 shows that fractional statistics arise from the topological braid group structure.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Two Approaches to Fractional Statistics in the Quantum Hall Effect: Idealizations and the Curious Case of the Anyon

Cited by 24 publications

References 88 publications

Infinite idealizations in physics

Infinite idealizations in physics

A new look at emergence. Or when after is different

Infinitesimal idealization, easy road nominalism, and fractional quantum statistics

Contact Info

Product

Resources

About