scholarly journals Real Part of Twisted-by-Grading Spectral Triples

2020 ◽  
Author(s):  
Manuele Filaci ◽  
◽  
Pierre Martinetti ◽  
◽  
◽  
...  
Keyword(s):  
Standard Model ◽  
Spectral Triple ◽  
Spectral Triples ◽  
The Real ◽  
Initial Algebra ◽  
The Standard Model ◽  
Twisted Spectral Triples

After a brief review on the applications of twisted spectral triples to physics, we adapt to the twisted case the notion of real part of a spectral triple. In particular, when one twists a usual spectral triple by its grading, we show that - depending on the KO dimension - the real part is either twisted as well, or is the intersection of the initial algebra with its opposite. We illustrate this result with the spectral triple of the standard model.

scholarly journals Pseudo-Riemannian Spectral Triples for the Standard Model

2019 ◽  
Vol 201 ◽  
pp. 09002
Author(s):  
Arkadiusz Bochniak
Keyword(s):  
Standard Model ◽  
Reverse Engineering ◽  
Particle Physics ◽  
Spectral Triple ◽  
Riemannian Structure ◽  
Spectral Triples ◽  
Engineering Program ◽  
The Standard Model

We present the importance of the pseudo-Riemannian structure in the spectral triple formalism that is used to describe the Standard Model of Particle Physics. The filnite case is briefly described and its role in the context of leptoquarks is presented. The proposal for the reverse engineering program for the Standard Model is also described, together with recent results.

scholarly journals Dreaming, Phenomenal Character, and Acquaintance

Acquaintance ◽  
2019 ◽  
pp. 145-168
Author(s):  
Tom Stoneham
Keyword(s):  
Standard Model ◽  
Real World ◽  
Phenomenal Character ◽  
Prima Facie ◽  
Social Model ◽  
The Real ◽  
The Standard Model

Dreams are often defined as sleeping experiences with phenomenal character similar to perceptions of the real world. Hence they pose a prima facie challenge to accounts of phenomenal character in terms of acquaintance relations. One response is disjunctivist: to give a different account of their phenomenal character from that of successful perceivings. I argue that, given the alleged frequency of dreaming on the standard model, this disjunctivist approach weakens the explanatory value of the acquaintance account of the phenomenal character of successful perceivings. Another response is to follow Malcolm and Dennett in denying that dreaming has phenomenal character at all. I present a cultural-social model of dreams and argue that we lack theory-neutral evidence of the phenomenal character of dreams and thus it is legitimate to choose between theories of dreaming on the basis of their fit with our best theory of the phenomenal character of successful perceivings, namely acquaintance.

scholarly journals Spectral Triples in Particle Physics

2018 ◽  
Vol 177 ◽  
pp. 09003 ◽  
Author(s):  
Arkadiusz Bochniak
Keyword(s):  
Standard Model ◽  
Noncommutative Geometry ◽  
Particle Physics ◽  
Future Directions ◽  
Spectral Triples ◽  
The Standard Model

We give an overview of the approach to the Standard Model of Particle Physics and its extensions based on the Noncommutative Geometry. The notion of spectral triples is introduced and their applications in particle physics are presented. We revisit known results based on different approaches within Noncommutative Geometry, list problems which appeared in these methods, propose possible solutions and indicate future directions of research.

scholarly journals Artificial Intelligence and the Problem of Control

2021 ◽  
pp. 19-24
Author(s):  
Stuart Russell
Keyword(s):  
Artificial Intelligence ◽  
Decision Making ◽  
Standard Model ◽  
Real World ◽  
New Model ◽  
The Real ◽  
Ability To Act ◽  
The Standard Model ◽  
Philosophy And Economics

AbstractA long tradition in philosophy and economics equates intelligence with the ability to act rationally—that is, to choose actions that can be expected to achieve one’s objectives. This framework is so pervasive within AI that it would be reasonable to call it the standard model. A great deal of progress on reasoning, planning, and decision-making, as well as perception and learning, has occurred within the standard model. Unfortunately, the standard model is unworkable as a foundation for further progress because it is seldom possible to specify objectives completely and correctly in the real world. The chapter proposes a new model for AI development in which the machine’s uncertainty about the true objective leads to qualitatively new modes of behavior that are more robust, controllable, and deferential to humans.

scholarly journals Actions for twisted spectral triple and the transition from the Euclidean to the Lorentzian

2020 ◽  
Vol 17 (supp01) ◽  
pp. 2030001
Author(s):  
Agostino Devastato ◽  
Manuele Filaci ◽  
Pierre Martinetti ◽  
Devashish Singh
Keyword(s):  
Scalar Field ◽  
Standard Model ◽  
Noncommutative Geometry ◽  
Spectral Triple ◽  
Spectral Action ◽  
Lorentzian Signature ◽  
The Standard Model ◽  
Form Field

This is a review of recent results regarding the application of Connes’ noncommutative geometry to the Standard Model, and beyond. By twisting (in the sense of Connes-Moscovici) the spectral triple of the Standard Model, one does not only get an extra scalar field which stabilises the electroweak vacuum, but also an unexpected [Formula: see text]-form field. By computing the fermionic action, we show how this field induces a transition from the Euclidean to the Lorentzian signature. Hints on a twisted version of the spectral action are also briefly mentioned.

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