#noncommutativegeometry risultati di ricerca
BIG BREAKING NEWS 🚨 Modi Govt removes historical distortions from NCERT textbooks 🔥🔥 New editions highlight ancient India’s role in shaping world mathematics. Mathematicians like Aryabhata and Brahmagupta credited for early algebra and geometry. A major shift from…
⏳ Scientists say time may not be one-dimensional! A new theory suggests time flows in *three* directions, shaping space itself — and it could finally bridge relativity and quantum physics. A bold new theory from Dr. Gunther Kletetschka at the University of Alaska Fairbanks…
Visual demonstration for one dimensional Gaussian wave packet and Non Relativistic Schrödinger equation. ✍️
@Kali_fissure if torus=2spheres then 2torus=4spheres. holographically, we can treat this as 4 3/4 circles. it creates a torus between each purposeful torus. 4*3/4=3=4*(3/4) but 4/(3/4)=5.3 if 4/3/4=1/3 [parenthesis and or exponents->Divide-> multiply-> subtract-> add] <- to ->
![KiltedWeirdo's tweet image. @Kali_fissure if torus=2spheres then 2torus=4spheres.
holographically, we can treat this as 4 3/4 circles.
it creates a torus between each purposeful torus.
4*3/4=3=4*(3/4) but 4/(3/4)=5.3 if 4/3/4=1/3
[parenthesis and or exponents-&gt;Divide-&gt; multiply-&gt; subtract-&gt; add] &lt;- to -&gt;](https://pbs.twimg.com/media/G5VGrgAWwAAKEHb.png)
The central equation of quantum mechanics features the imaginary number i. Erwin Schrödinger considered it a major eyesore. Now, physicists have figured out how to do away with it. quantamagazine.org/physicists-tak…
🌀 The Hidden Fabric of the Universe 🌌 What if space and time are not two separate things… but one single fabric holding the entire universe together? 🪐 Einstein called it space-time — a 4D fabric made of three parts space and one part time. Everything that exists — stars,…
Everything you see — stars, galaxies, even your body — might just be a projection. The holographic principle proposes that all of 3D reality is encoded on a 2D surface at the edge of the universe. It means our physical world could be a cosmic hologram — a grand illusion…
Efficient training of neural networks is difficult. Our second Connectionism post introduces Modular Manifolds, a theoretical step toward more stable and performant training by co-designing neural net optimizers with manifold constraints on weight matrices.…
One of the finest properties of a #quantum system is the Quantum Geometric Tensor (QGT), which is a local manifestation of the topological properties of the wavefunction (𝜓) in the parameter of space where it operates. The systematic evolution of the 𝜓 is given by the vector…
it is impossible to simultaneously know both the exact position and the exact momentum of a particle with unlimited precision
For the first time, physicists have formulated quantum theory without imaginary numbers, overturning a 2021 claim that these unreal numbers are essential for describing the quantum world. @dangaristo reports: quantamagazine.org/physicists-tak…
A new quantum geometry-based framework provides an alternative to canonical Floquet theory, defining the geometric origins for nonequilibrium phenomena like time crystals and defining a link between periodic driving and #quantum control. go.aps.org/45eFN1k
My first conference talk is today. Will be presenting a joint work with my supervisor, based on an upcoming preprint. #COsy2023 #NoncommutativeGeometry
Is quantum mechanics incomplete, or just plain wrong? One physicist argues that while it works for small masses, a "big thing" is missing when it comes to larger displacements. #QuantumPhysics #TheoreticalPhysics
Visual demonstration for one dimensional Gaussian wave packet and Non Relativistic Schrödinger equation. ✍️
He can't go into all the computational details but here they are mostly: arxiv.org/abs/hep-th/051…. The attentive reader may notice in the conclusion of this paper a technical discussion on volume form in #NonCommutativeGeometry that will lead years later...
Not an easy subject OFC thus when he explains how from #SpectralActionPrinciple & #NonCommutativeGeometry one can compute all details of standard model & its unification with gravity with correct signs for Higgs potential & cosmological constant without fine tuning (t=4322s)...
📢 PhD opening in Algebraic Geometry at Utrecht University! Dive into noncommutative surfaces, derived categories & deformation theory Deadline: 7 July 2025 📚✨ #PhDPosition #AlgebraicGeometry #NoncommutativeGeometry #MathematicsJobs uu.nl/en/organisatio…
Quote in my head. Every day "an unsolved problem is how to formulate quantum mechanics in a curved spacetime and #NonCommutativeGeometry was to the best of my knowledge the first natural example of endowing a curved space with an uncertainty principle" youtu.be/iiy4aJMIWxA?t=…...
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Physics and Philosophy. Interview with Thomas Schucker
AI Meets Noncommutative Geometry – A New Paradigm for Learning Beyond Euclidean Space 🔄📐 open.substack.com/pub/satyamcser… #NoncommutativeGeometry #MathematicsInAI #GeometricDeepLearning #AIResearch #TechTrends #satmis
A Computational Non-Commutative Geometry Programme: Discover the Best Insights into Algebra #NonCommutativeGeometry #Algebra #Mathematics #ComputationalGeometry #Research wiki.org.uk/blog/computati…
#SpectralStandardModel is not only a theory of electroweak & strong interactions but does incorporate gravitation, following a #NonCommutativeGeometry-first approach to #QuantumGravity. Could the #HiggsBoson be one #Qubit to implement the #ItFromQubit program @postquantum? ...
Secret aim was to deliver Solid Theoretical Research On Natural Geometry results so we are not brainwashed by higher dimensions. It succeeded as #StandardModel heralds how #NoncommutativeGeometry links Higgs field with metric structure of spacetime 😜 youtu.be/hZ0MILhnb14...
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Gauge Theories and Non Commutative Geometry
My first conference talk is today. Will be presenting a joint work with my supervisor, based on an upcoming preprint. #COsy2023 #NoncommutativeGeometry
Barrett provided unexpected insight from #NeutrinoOscillations on #StandardModel thx to #NonCommutativeGeometry johnwbarrett.wordpress.com/2022/10/04/int… johnwbarrett.wordpress.com/2013/06/26/hop… Connes, Chamseddine & @ncgnl provided #spectralInsight from #HiggsBoson noncommutativegeometry.blogspot.com/2012/08/a-dres… noncommutativegeometry.blogspot.com/2015/08/grand-…
As this thread was initiated by a Galileo's quote, let's end it with this annoncement: a series of lectures introducing #NonCommutativeGeometry formalism for physics will be given at Galileo Galilei Institute June 12-16th 2023 by John W. Barrett. johnwbarrett.wordpress.com/2022/10/04/int…
In // T. D.H. van Nuland & W. D. v Suijlekom are writing a diagrammatica to build renormalizable spectral model of particle physics based on #NonCommutativeGeometry valid & falsifiable at energies accessible to #LHC arxiv.org/abs/2107.08485 videos here globalncgseminar.org/talks/tba-37/...
CONSEQUOTE ;-) @PeterShor1: “Why is the Standard Model one of the very few Lagrangians that is compatible with Alain Connes’ #NonCommutativeGeometry constructions?” Clemens: Why bother? It’s much easier to continue thinking about stuff we know about. math.columbia.edu/~woit/wordpres…
QUOTE OF THE DAY Simplicio: "Concerning natural things we need not always seek the necessity of mathematical demonstrations." Sagredo: "Of course, when you cannot reach it. But if you can, why not?" -- Galileo Galilei (Dialogue on the two Major Systems of the World)
Attention dear @arxivabs bot: last version (3) of this interesting article lost the great pedagogical explanation (in versions 1 & 2) of the What & Why of #NonCommutativeGeometry & its #SpectralInsight for #ParticlePhysics & #FundamentalPhysics (thus I pointed the pdf link).
#mdpiuniverse Welcome to read the article by Prof. Fedele Lizzi: #QuantumSpacetime, #NoncommutativeGeometry and #Observers mdpi.com/2218-1997/8/1/… #quantumobservers #quantumsymmetries
Join us for today at 16CET for the Prague NCG&T Seminar! Becky Armstrong, Münster: A uniqueness theorem for twisted groupoid C*-algebras. Talks streamed on Zoom. All welcome! ncgandtprague.wordpress.com/ncgt-seminar/ #maths #noncommutativegeometry #cstaralgebras
Join us for today at 16CET for the Prague NCG&T Seminar! Réamonn Ó Buachalla. Quantum Root Vectors and a Dolbeault Double Complex for the A-Series Quantum Flag Manifolds. Talks streamed on Zoom. All welcome! ncgandtprague.wordpress.com/ncgt-seminar/ #maths #noncommutativegeometry #cstaralgebras
Join us for tomorrow's Prague NCG&T Seminar at 16:00: Tristan Bice. Lawson–Pierce Duality between Ample Groupoid Bundles and Steinberg Rings & Semigroups Talks are streamed on Zoom. All are welcome! ncgandtprague.wordpress.com/ncgt-seminar/ #maths #noncommutativegeometry #cstaralgebras
Hopefully mathematicians devised useful concepts to better understand #QuantumFieldTheory entanglement arxiv.org/abs/1803.04993 & Connes helped a cosmologist & a SUGRA specialist to forge #SpectralInsight on #NonCommutativeGeometry spacetime models informed by the #StandardModel.
NCG&T Prague Tue 30 March 16:00 CET Jacopo Bassi, University of Rome, Tor Vergata: Separable boundaries for non-hyperbolic groups. Please join us! More here: ncgandtprague.wordpress.com #Mathematics #NoncommutativeGeometry #OperatorAlgebras #QuantumAlgebra
#mdpiuniverse Welcome to read the article by Prof. Fedele Lizzi: #QuantumSpacetime, #NoncommutativeGeometry and #Observers mdpi.com/2218-1997/8/1/… #quantumobservers #quantumsymmetries
My first conference talk is today. Will be presenting a joint work with my supervisor, based on an upcoming preprint. #COsy2023 #NoncommutativeGeometry
Waiting for the computation and study of the renormalisation group equations from a Pati-Salam model computable from #NonCommutativeGeometry, its spectral #StandardModel specialisation has already been studied here: arxiv.org/abs/1705.01605...
There is a #NonCommutativeGeometry model for which all these terms boil down to a one line pretty simple action functional 😉 (see below from arxiv.org/abs/1008.0985). The full computation has been checked by (at least) one Field Medalist ...
In #MimeticGravity one can model #DarkMatter without matter but some kind of cosmological time & with #NonCommutativeGeometry this comes out from quantisation of spacetime volume. I wonder what is the more illusory 😉
I think the fact that Atiyah put ideas and concepts before questions & problems could be tied to his taste for mathematical physics. Thus his ideas & concepts might have been inspired by physical facts or speculations like #quantum physics #string theory & #NoncommutativeGeometry
Attention dear @arxivabs bot: last version (3) of this interesting article lost the great pedagogical explanation (in versions 1 & 2) of the What & Why of #NonCommutativeGeometry & its #SpectralInsight for #ParticlePhysics & #FundamentalPhysics (thus I pointed the pdf link).
... but in my opinion the most crucial word/acronym missing in this blackboard is "SM" as the most important message(s) of #NonCommutativeGeometry for #QuantumGravity might be summed up as #GeneralRelativity + #QuantumMechanics = #StandardModel arxiv.org/abs/1904.12392...
#Higgsmas advent calendar day 5: a pic (a wink to a pioneer of #NonCommutativeGeometry for #ParticlePhysics & #Cosmology its.caltech.edu/~matilde/DKMMp… ); a quote from @mairisakellari1 arxiv.org/abs/1703.09498; an article waltervansuijlekom.nl/wp-content/upl…; all as update😉to books.google.fr/books?hl=fr&id…
"A dress for SM the beggar" is discussed in this blog post: noncommutativegeometry.blogspot.com/2012/08/a-dres… "The #StandardMode as a Shakespearean king" is documented in aip.scitation.org/doi/10.1063/1.… Daniel Kastler explains in it interestingly how #HiggsBoson & #NonCommutativeGeometry connection was uncovered!
AI Meets Noncommutative Geometry – A New Paradigm for Learning Beyond Euclidean Space 🔄📐 open.substack.com/pub/satyamcser… #NoncommutativeGeometry #MathematicsInAI #GeometricDeepLearning #AIResearch #TechTrends #satmis
A true expert is @ncgnl. To get the correct #HiggsBoson mass postdiction from #SpectralAction + #NonCommutativeGeometry one needs to drop some math constraints. 1st published in arxiv.org/abs/1208.1030 & carefully discussed in springer.com/gp/book/978940… thanks to W. van Suijlekom...
Now for a #2018Review of achievements & DOUBTS & hopes about spectral #NonCommutativeGeometry (as a candidate #SolidTheoreticalResearchInNaturalGeometricStructures) following Nadir Bizi thesis hal.archives-ouvertes.fr/hal-01398231 and work with C. Brouder & F. Besnard arxiv.org/abs/1504.03890.
The 2nd version of arxiv.org/abs/1904.12392 by Chamseddine & van Suijlekom contains now a specific analysis of the scalar potential for the composite #PatiSalam model derived from #NonCommutativeGeometry &the #SpectralPrinciple demonstrating no issue with such a #GaugeUnification.
Barrett provided unexpected insight from #NeutrinoOscillations on #StandardModel thx to #NonCommutativeGeometry johnwbarrett.wordpress.com/2022/10/04/int… johnwbarrett.wordpress.com/2013/06/26/hop… Connes, Chamseddine & @ncgnl provided #spectralInsight from #HiggsBoson noncommutativegeometry.blogspot.com/2012/08/a-dres… noncommutativegeometry.blogspot.com/2015/08/grand-…
With spectral #NonCommutativeGeometry spinors can hear all forces of spacetime arxiv.org/abs/hep-th/961… & the #LHC is not the end of #ParticlePhysics as the #HiggsBoson might help us to provide a more finely tuned knowledge of quantum structure of spacetime arxiv.org/abs/1702.08180
... and Thomas Schücker (physicist specialist of General Relativity) has also checked pretty carefully most of #StandardModel "derivation" from #NonCommutativeGeometry & the #SpectralAction principle (pedagogical comments in arxiv.org/abs/hep-th/031… and arxiv.org/abs/hep-th/040…)
Hopefully mathematicians devised useful concepts to better understand #QuantumFieldTheory entanglement arxiv.org/abs/1803.04993 & Connes helped a cosmologist & a SUGRA specialist to forge #SpectralInsight on #NonCommutativeGeometry spacetime models informed by the #StandardModel.
The 1st 1-loop RGE analysis of a #NonCommutativeGeometry particle model "performed in a genuinely Lorentzian framework" yields masses for the top quark & Higgs boson agreeing well with the experimental values & makes a prediction in the neutrino sector arxiv.org/abs/2010.04960...
To get a #Higgs you don't need to play with the axioms of the spectral triple from #NoncommutativeGeometry you need to chose a #SpaceTimeModel that is not commutative. The simplest example is an almost commutative manifold as described below from @ncgnl : link.springer.com/book/10.1007/9…
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