scholarly journals Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Deyuan Zou ◽  
Tian Chen ◽  
Wenjing He ◽  
Jiacheng Bao ◽  
Ching Hua Lee ◽  
...  
Keyword(s):  
Skin Effect ◽  
Higher Order ◽  
Boundary States ◽  
Topological Localization ◽  
Topological Effect ◽  
2D And 3D ◽  
3D Skin ◽  
Lower Dimensional ◽  
Topological Boundary ◽  
The Way

AbstractRobust boundary states epitomize how deep physics can give rise to concrete experimental signatures with technological promise. Of late, much attention has focused on two distinct mechanisms for boundary robustness—topological protection, as well as the non-Hermitian skin effect. In this work, we report the experimental realizations of hybrid higher-order skin-topological effect, in which the skin effect selectively acts only on the topological boundary modes, not the bulk modes. Our experiments, which are performed on specially designed non-reciprocal 2D and 3D topolectrical circuit lattices, showcases how non-reciprocal pumping and topological localization dynamically interplays to form various states like 2D skin-topological, 3D skin-topological-topological hybrid states, as well as 2D and 3D higher-order non-Hermitian skin states. Realized through our highly versatile and scalable circuit platform, theses states have no Hermitian nor lower-dimensional analog, and pave the way for applications in topological switching and sensing through the simultaneous non-trivial interplay of skin and topological boundary localizations.

scholarly journals Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits

2021 ◽  
Author(s):  
Deyuan Zou ◽  
Tian Chen ◽  
Wenjing He ◽  
Jiacheng Bao ◽  
Ching Hua Lee ◽  
...  
Keyword(s):  
Skin Effect ◽  
Higher Order ◽  
Boundary States ◽  
Topological Localization ◽  
Topological Effect ◽  
New Applications ◽  
2D And 3D ◽  
3D Skin ◽  
Lower Dimensional ◽  
Topological Boundary

Abstract Robust boundary states epitomize how deep physics can give rise to concrete experimental signatures with technological promise. Of late, much attention has focused on two distinct mechanisms for boundary robustness - topological protection, as well as the non-Hermitian skin effect. In this work, we report the first experimental realizations of hybrid higher-order skin-topological effect, in which the skin effect selectively acts only on the topological boundary modes, not the bulk modes. Our experiments, which are performed on specially designed non-reciprocal 2D and 3D topolectrical circuit lattices, showcases how non-reciprocal pumping and topological localization dynamically interplays to form various novel states like 2D skin-topological, 3D skin-topological-topological hybrid states, as well as 2D and 3D higher-order non-Hermitian skin states. Realized through our highly versatile and scalable circuit platform, theses states have no Hermitian nor lower-dimensional analog, and pave the way for new applications in topological switching and sensing through the simultaneous non-trivial interplay of skin and topological boundary localizations.

Vagueness and the World

2018 ◽  
Author(s):  
Andrew Bacon
Keyword(s):  
Higher Order ◽  
Formal Models ◽  
Logical Space ◽  
The World ◽  
The Way

According to a fairly widespread assumption, there is some definite collection of completely factual or fundamental propositions upon which all truths supervene and which are unaffected by vagueness. This assumption manifests itself in formal models of vagueness as well—for example, the supervaluationist who represents propositions as sets of world-precisification pairs may divide logical space into propositions that only depend on the world-coordinate. This chapter argues that this assumption leads to paradoxes of higher-order vagueness, and, ultimately, should be rejected in favour of a weaker notion of fundamentality or factuality. It suggests an alternative picture in which there is vagueness ‘all the way down’: logical-space can be divided into basic propositions that settle all precise matters, but it is vague where those divisions lie.

scholarly journals The reality of fiction in a literary world: on an excerpt from Stanisław Lem’s Solaris

2020 ◽  
Vol 11 (1) ◽  
pp. 101-107
Author(s):  
Y. Domanskii
Keyword(s):  
Physical Reality ◽  
Literary Text ◽  
Higher Order ◽  
Fictional World ◽  
Actual Reality ◽  
The World ◽  
The Way

Using an excerpt from Stanisław Lem’s Solaris, this article explores the idea that, in a literary text, a fictional world and the world of physical reality may interact to form such a reality that can paradoxically turn out to be more real than what we believe to be the actual reality. It is also shown that the fictional world realized in a literary text may bring the reader to certain conclusions about the world in which he or she lives. Thus, even if literature is in­capable of affecting reality, it can change the way the latter is perceived. A fictional world is not just a reality — it is a reality of a higher order.

scholarly journals May the four be with you: novel IR-subtraction methods to tackle NNLO calculations

2021 ◽  
Vol 81 (3) ◽  
Author(s):  
W. J. Torres Bobadilla ◽  
G. F. R. Sborlini ◽  
P. Banerjee ◽  
S. Catani ◽  
A. L. Cherchiglia ◽  
...  
Keyword(s):  
High Energy Physics ◽  
High Energy ◽  
Higher Order ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Link Type ◽  
Mathematical Properties ◽  
Energy Physics ◽  
The Way

AbstractIn this manuscript, we report the outcome of the topical workshop: paving the way to alternative NNLO strategies (https://indico.ific.uv.es/e/WorkStop-ThinkStart_3.0), by presenting a discussion about different frameworks to perform precise higher-order computations for high-energy physics. These approaches implement novel strategies to deal with infrared and ultraviolet singularities in quantum field theories. A special emphasis is devoted to the local cancellation of these singularities, which can enhance the efficiency of computations and lead to discover novel mathematical properties in quantum field theories.

What role do the emotions play in cognition?

2003 ◽  
Vol 4 (1) ◽  
pp. 81-100 ◽  
Author(s):  
Jason L. Megill
Keyword(s):  
Face Recognition ◽  
Selective Attention ◽  
Research Program ◽  
Affective Computing ◽  
Higher Order ◽  
Brain Disorders ◽  
Frame Problem ◽  
Cognitive Theories ◽  
The Frame Problem ◽  
The Way

This paper has two aims: (1) to point the way towards a novel alternative to cognitive theories of emotion, and (2) to delineate a number of different functions that the emotions play in cognition, functions that become visible from outside the framework of cognitive theories. First, I hold that the Higher Order Representational (HOR) theories of consciousness — as generally formulated — are inadequate insofar as they fail to account for selective attention. After posing this dilemma, I resolve it in such a manner that the following thesis arises: the emotions play a key role in shaping selective attention. This thesis is in accord with A. Damasio’s (1994) noteworthy neuroscientific work on emotion. I then begin to formulate an alternative to cognitive theories of emotion, and I show how this new account has implications for the following issues: face recognition, two brain disorders (Capgras’ and Fregoli syndrome), the frame problem in A.I., and the research program of affective computing.

A Metafísica de Copleston e o Debate com Russell

2021 ◽  
Vol 76 (4) ◽  
pp. 1331-1362
Author(s):  
Alexander Maar
Keyword(s):  
Thomas Aquinas ◽  
Higher Order ◽  
History Of Philosophy ◽  
Bertrand Russell ◽  
Ultimate Cause ◽  
History Of ◽  
First Cause ◽  
The Way

Father Frederick Copleston is best known for his carefully crafted works History of Philosophy and Thomas Aquinas. Copleston’s most notable metaphysical thesis is his interpretation of the argument from contingency, which he sees as the superior choice for theists. He draws on Aquinas and distinguishes between causa fieri and causa esse to argue that God is a higher order (vertical) cause of contingent causal series (horizontal). Copleston presents God not as a temporal first cause, but an ontologically ultimate cause necessary to explain a contingent universe. His contribution changed the way we read Aquinas. Copleston’s willingness to debate his thesis with different philosophical perspectives is illustrated by his acceptance to discuss God’s existence with Bertrand Russell, in 1948. This BBC radio debate epitomises the dispute between theists and atheists from the 1940s onwards. I undertake to expound and comment Copleston’s contribution to metaphysics, present relevant parts of the debate and provide criticism.

Points as Higher-Order Constructs

2020 ◽  
pp. 347-378
Author(s):  
Achille C. Varzi
Keyword(s):  
20Th Century ◽  
Higher Order ◽  
General Idea ◽  
Natural Knowledge ◽  
Full Development ◽  
Classical Geometry ◽  
Definition Of ◽  
Lower Dimensional

Euclid’s definition of a point as “that which has no part” has been a major source of controversy in relation to the epistemological and ontological presuppositions of classical geometry, from the medieval and modern disputes on indivisibilism to the full development of point-free geometries in the 20th century. Such theories stem from the general idea that all talk of points as putative lower-dimensional entities must and can be recovered in terms of suitable higher-order constructs involving only extended regions (or bodies). This chapter focuses on what is arguably the first thorough proposal of this sort, Whitehead’s theory of “extensive abstraction”, offering a critical reconstruction of the theory through its successive installments: from the purely mereological version of ‘La théorie relationniste de l’espace’ (1916) to the refined versions presented in An Enquiry Concerning the Principles of Natural Knowledge (1919) and in The Concept of Nature (1920) to the last, mereotopological version of Process and Reality (1929).

scholarly journals Higher order chromatin architecture in the cell nucleus: on the way from structure to function

2004 ◽  
Vol 96 (8) ◽  
pp. 555-567 ◽  
Author(s):  
Thomas Cremer ◽  
Katrin Küpper ◽  
Steffen Dietzel ◽  
Stanislav Fakan
Keyword(s):  
Cell Nucleus ◽  
Higher Order ◽  
Chromatin Architecture ◽  
The Way

Theology and the Transformation of Society

1968 ◽  
Vol 25 (1) ◽  
pp. 23-36
Author(s):  
Richard Shaull
Keyword(s):  
Human Life ◽  
Higher Order ◽  
Social Consequences ◽  
Reinhold Niebuhr ◽  
The Road ◽  
The Future ◽  
Transcendent Reality ◽  
Ontological Categories ◽  
On The Road ◽  
The Way

“At a time when neo-orthodox theology was dominant, [Reinhold] Niebuhr was able to use effectively, with far-reaching social consequences, the metaphysical-ontological categories of transcendence. Today it is important to recognize not only that these concepts have little meaning for another generation, but also that the biblical symbols point us in a different direction. The transcendent reality described in the biblical myths and images is not so much the God who stands above all human attainments, judging them and raising man to a higher order, but the God who goes ahead of us, opening the way for greater fulfillment on the road to the future. He is one whose actions in the totality of man's hisotyr lead to new events that open new possibilities. Thus the basic Christian symbols suggest that human life is free because it is lived, in history, in the context of ‘gracious’ sovereignty.”

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