#mathematicalphysics — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #mathematicalphysics, aggregated by home.social.
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Probability,
теорія ймовірностей, теория вероятностей
#Probability,
#теоріяймовірностей, #теориявероятностей
t.me/scilib_yura15cbx/193Number theory
Теория чисел, Теорія чисел
#Number theory
#Теориячисел, #Теоріячисел
t.me/scilib_yura15cbx/192References, Collected works
Література, Зібрання праць,
Ссылки, Собрание сочинений
t.me/scilib_yura15cbx/190Symmetry and groups
Симметрия и группы,
Симетрія і групи
#Symmetry
t.me/scilib_yura15cbx/189Philosophy of mathematics
Філософія математики, Философия математики
t.me/scilib_yura15cbx/188Mathematical physics
Математическая физика, Математична фізика
#Mathematical physics
#Математическаяфизика, #Математичнафізика
t.me/scilib_yura15cbx/187Optimization and control
Оптимізація та контроль, Оптимизация и контроль
t.me/scilib_yura15cbx/186Optimal control
Оптимальный контроль, Оптимальний контроль
#Optimal control
#Оптимальныйконтроль, #Оптимальнийконтроль
t.me/scilib_yura15cbx/185Numerical methods
Чисельні методи, Численные методы
#Numerical methods
#Чисельніметоди, #Численныеметоды
t.me/scilib_yura15cbx/184Lecture notes
Конспекты лекций, Конспект лекцiй
t.me/scilib_yura15cbx/183Encyclopaediae, School-level
Енциклопедії, Шкільний рівень
Энциклопедии, школьный уровень
t.me/scilib_yura15cbx/182Games, game theory
Ігри, теорія ігор
Игры, теория игр
#Games, #game theory
#Ігри, ₽теоріяігор
#Игры, #теорияигр
t.me/scilib_yura15cbx/181Geometry and topology
Геометрия и топология
Геометрія і топологія
#Geometry and #topology
#Геометрия и #топология
#Геометрія і #топологія
t.me/scilib_yura15cbx/180Biography, history
Биография, история
Біографія, історія
#Biography, #history
#Биография, #история
#Біографія, #історія
t.me/scilib_yura15cbx/178Mams_ Proceedings AMS
Праці AMS, Труды АМС
t.me/scilib_yura15cbx/177Algebra, Алгебра
#Algebra, #Алгебра
t.me/scilib_yura15cbx/176Optical devices
Оптика, оптические устройства, технологии, инжинерия
#Optical devices -
Frenet–Serret Formula ✍️
It explains how a curve reveals its hidden geometry by tracking the way it bends and twists through space. Imagine tracing the path of a roller coaster, a winding river, or the spiral of a DNA strand. At every point along the path, the curve is constantly changing direction, and the Frenet–Serret formulas provide a precise way to describe that change.
They do this by attaching a moving frame of three special directions to each point on the curve. The first points forward along the path, showing where the curve is heading. The second points inward, toward the direction of bending. The third stands perpendicular to both, capturing how the curve twists out of its plane. Together, they form a local coordinate system that travels with the curve itself.
As you move along the curve, these three directions rotate and evolve. The formulas measure this evolution using two key quantities: curvature and torsion. Curvature tells how sharply the path bends, while torsion tells how strongly it twists into three dimensions. If curvature vanishes, the path becomes straight; if torsion vanishes, the curve lies flat in a plane.
Mathematicians and physicists use the Frenet–Serret formulas to study motion, design smooth paths in engineering, understand particle trajectories, and analyze natural shapes. They transform a simple line into a rich geometric story, revealing exactly how space is being navigated at every step.
#FrenetSerretFormula #DifferentialGeometry #Geometry #Mathematics #Math #PureMathematics #AppliedMathematics #MathematicalPhysics #Physics #STEM #ScienceEducation #MathEducation #Curvature #Torsion #SpaceCurves #VectorCalculus #Calculus #LinearAlgebra #GeometricAnalysis
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RE: https://mathstodon.xyz/@johncarlosbaez/116662332807347504
In memory of Ivan Todorov (1933–2025).
His publications:
<https://scholar.google.com/citations?user=wZiNNXoAAAAJ>
(INRNE is Institute for Nuclear Research and Nuclear Energy.)After expanding to show all 433 articles, "octonion[ic]" appears in five titles.
The most cited of the latter is a 2018 paper with Svetla Drenska,
"Octonions, exceptional Jordan algebra and the role of the group F₄ in particle physics".#Algebra
#MathematicalPhysics
#Octonions
#ParticlePhysics
#TheoreticalPhysics -
Indeed.
I have also seen it done in reality.
Most recently yesterday (2026-05-31) watching John Baez's talk on the topic of octonionic quantum field theory (exploring the algebraic structure of the gauge group).
Pure wizardry.At a workshop in memory of Ivan Todorov.
Zoom's voice said the talk was being recorded, so perhaps AUBG or IMI will make it available (the organizers: the American University in BulGaria and the Institute of Mathematics and Informatics).John Baez's preliminary announcement and summary:
<https://mathstodon.xyz/@johncarlosbaez/116662332807347504> -
Today my paper "Topological consequences of null-geodesic refocusing and applications to $Z^x$ manifolds" got published in the Journal of Geometry and Physics!
The paper defines: A globally hyperbolic spacetime $(X,g)$ is observer-refocusing if there exists a point $p$ and a timelike curve $\gamma$ in $X$ so that all lightrays emitted from $p$ intersect $\gamma$. The paper proves that spacetimes $(X,g)$ with $\dim(X)\geq 3$ which are observer-refocusing with respect to a compact timelike curve have compact Cauchy surfaces with finite fundamental group. This extends known results on strongly refocusing spacetimes, which are spacetimes with points $p,q$ so that all lightrays through $p$ go through $q$. Further, observer-refocusing spacetimes of dimension at least $3$ with an analytic metric are strongly refocusing.
These results lead to immediate corollaries in Riemannian geometry: Let $(M,h)$ be a connected, complete Riemannian manifold and let $x \in M$. We call $(M,h)$ a $Z^x$ manifold if all geodesics starting at $x$ return to $x$. We show that if $\dim(M) \geq 2$ and if the return time of unit-speed geodesics starting at $x$ is uniformly bounded, then $M$ is compact with finite fundamental group. Further, if the metric of a $Z^x$ manifold is analytic, then all unit-speed geodesics starting at $x$ return to $x$ at a common time. This resolves the question "Are all $Z^x$ manifolds $Y^x_l$ manifolds for some $l>0$?" posed in Besse's book "Manifolds all of whose geodesics are closed" affirmatively for analytic manifolds.
https://doi.org/10.1016/j.geomphys.2026.105834
https://arxiv.org/abs/2503.23565#DifferentialGeometry #MathematicalPhysics #GeneralRelativity
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“Looking back, my path has not been linear, and I changed direction more than once; however, what has stayed constant is curiosity, even when the topics and the places were changing. This is also what I like most about mathematics: there is room for many different trajectories, as long as you keep following questions that genuinely interest you.” - Mikaela Iacobelli
➡️ https://hermathsstory.eu/mikaela-iacobelli
#Academia #PhD #AssociateProfessor #MathematicalPhysics #PDEs #KineticTheory #MathsJourney #WomenInSTEM #WomenInMaths #HerMathsStory
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The Hidden Math of Ocean Waves https://www.wired.com/story/the-hidden-math-of-ocean-waves-crashes-into-view/ #Science/PhysicsandMath #MathematicalPhysics #Science
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The Hidden Math of Ocean Waves
https://web.brid.gy/r/https://www.wired.com/story/the-hidden-math-of-ocean-waves-crashes-into-view/
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Postdoc Fellow in Bhamla Lab
Bhamla Lab at Georgia Institute of TechnologySee the full job description on jobRxiv: https://jobrxiv.org/job/bhamla-lab-at-georgia-institute-of-technology-27778-postdoc-fellow-in-bhamla-lab/
#biologicalphysics #biomechanics #frugalscience #mathematicalphysics #Raman #ScienceJobs #hiring #research
https://jobrxiv.org/job/bhamla-lab-at-georgia-institute-of-technology-27778-postdoc-fellow-in-bhamla-lab/?fsp_sid=5072 -
The ‘10 Martini’ Proof Connects Quantum Mechanics With Infinitely Intricate Mathematical Structures https://www.wired.com/story/the-10-martini-proof-connects-quantum-mechanics-with-infinitely-intricate-mathematical-structures/ #Science/PhysicsandMath #MathematicalPhysics #Science
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The ‘10 Martini’ Proof Connects Quantum Mechanics With Infinitely Intricate Mathematical Structures
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Postdoc Fellow in Bhamla Lab
Bhamla Lab at Georgia Institute of TechnologySee the full job description on jobRxiv: https://jobrxiv.org/job/bhamla-lab-at-georgia-institute-of-technology-27778-postdoc-fellow-in-bhamla-lab/
#biologicalphysics #biomechanics #frugalscience #mathematicalphysics #Raman #ScienceJobs #hiring #research
https://jobrxiv.org/job/bhamla-lab-at-georgia-institute-of-technology-27778-postdoc-fellow-in-bhamla-lab/?fsp_sid=3231 -
Postdoc Fellow in Bhamla Lab
Bhamla Lab at Georgia Institute of TechnologySee the full job description on jobRxiv: https://jobrxiv.org/job/bhamla-lab-at-georgia-institute-of-technology-27778-postdoc-fellow-in-bhamla-lab/
#biologicalphysics #biomechanics #frugalscience #mathematicalphysics #Raman #ScienceJobs #hiring #research
https://jobrxiv.org/job/bhamla-lab-at-georgia-institute-of-technology-27778-postdoc-fellow-in-bhamla-lab/?fsp_sid=1047 -
Postdoc Fellow in Bhamla Lab
Bhamla Lab at Georgia Institute of TechnologySee the full job description on jobRxiv: https://jobrxiv.org/job/bhamla-lab-at-georgia-institute-of-technology-27778-postdoc-fellow-in-bhamla-lab/
#biologicalphysics #biomechanics #frugalscience #mathematicalphysics #Raman #ScienceJobs #hiring #research
https://jobrxiv.org/job/bhamla-lab-at-georgia-institute-of-technology-27778-postdoc-fellow-in-bhamla-lab/?fsp_sid=319 -
Some of you might have noticed that for quite a number of years I got frequently distracted from my hacking by a side project that I was working on. 😂
Happily, this is now finally completely published: 🎉
https://tuprints.ulb.tu-darmstadt.de/22028/
In my thesis I present a mathematical theory to describe the inherently probabilistic dynamics of quantum systems in terms of their possible trajectories inspired by classical coding theory. 🤓
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Wir freuen uns diese Woche auf sehr spannende Vorträge in der zweiten #WiMGo #Konferenz zu "Developments in Modern Mathematics" bei uns im Mathematischen Institut, sowie die #Ausstellung "Women of Mathematics from around the World" in unserer historischen Sammlung!
https://academiccloud.social/@rtg2491/112796072564262365
#Göttingen #Mathematik #MathematicalPhysics #Mathematics #conference #UniGoettingen #womenInSTEM #GenderStudies
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Wir freuen uns u.a. folgende Sprecher*innen begrüßen zu dürfen:
#MathematicalPhysics
* Patrizia Vitale (University of Neaples)
* Raimar Wulkenhaar (University of Münster)
* Giovanni Landi (University of Trieste)#OperatorTheory
* Magdalena Musat (University of Copenhagen)
* Sara Azzali (University of Bari)
* Runlian Xia (University of Glasgow) -
Anmeldungen sind nun möglich für
"Developments in Modern #Mathematics:
the 2nd #WiMGo #conference" in #Göttingen vom 02.-05.09.2024Schwerpunkt der Vorträge werden sein:
* #MathematicalPhysics
* #OperatorTheory
* #HigherStructures
* #Geometry
* #Topology
* #NumberTheory
* #GenderStudies -
There's singularities and singularities.
Mathematicians Attempt to Glimpse Past the Big Bang | Quanta Magazine https://www.quantamagazine.org/mathematicians-attempt-to-glimpse-past-the-big-bang-20240531/
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Mathematicians finally solved Feynman’s “reverse sprinkler” problem - Light-scattering microparticles reveal the flow pattern for the reve... - https://arstechnica.com/?p=2000600 #mathematicalmodeling #mathematicalphysics #reversesprinkler #richardfeynman #fluiddynamics #science #physics
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It's a pleasure to announce that a new article has just been published by our recent research fellows Prof Sako and Prof Grosse as an outcome of their Research in Teams Project at @ESIVienna. 📑
🔵 Harald Grosse, Akifumi Sako: #Integrability of Φ
4 Matrix Model
as N-body Harmonic Oscillator System 🔵Check out the article on https://arxiv.org/pdf/2308.11523.pdf
(Permission is given by the authors for using their figure from the paper for this post)
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Have you seen the latest article from our workshop (non-regular #spacetime #geometry) participants? 👉
Saúl Burgos, José Luis Flores and Jónatan Herrera: The c-completion of Lorentzian metric spaces#SpacetimeGeometry
#DifferentialGeometry #GeneralRelativity #QuantumCosmology #MathematicalPhysics #Quantum #Cosmology #Relativity #MetricGeometry@univienna
https://arxiv.org/pdf/2305.02004.pdf(for the motion picture please visit https://twitter.com/ESIVienna/status/1671167715313344512)
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Have you seen the latest article by Brian Allen, a former workshop participant?
#Spacetime #Geometry #SpacetimeGeometry
#DifferentialGeometry #GeneralRelativity #QuantumCosmology #MathematicalPhysics #Quantum #Cosmology #Relativity #MetricGeometry
@univienna -
We are pleased to announce that Kaushlendra Kumar from Uni Hannover, one of our Junior Research Fellows is going to give an insight in his work in his research project at ESI.
🟢 When? On Thursday, 4th May 2023 at 13.15
➡️ Where? At @ESIVienna, in our Schrödinger Lecture Hall
