the Riesz representation theorem is perhaps the mathematical "keystone" that connects our pictures of the discrete and continuous worlds. without this theorem, mathematicians could not have rigorously defined integration over expressions involving Dirac delta functions (something that physicists had first intuited without proof).
It allows us to transfer ideas about inner product spaces over to their dual spaces of linear functionals:
A direct leap into terahertz: #HZDR researchers find that #dirac materials enable efficient signal conversion at room temperature, opening up prospects for future generations of mobile communications or sensor technology.
▶️https://www.hzdr.de/presse/dirac
Image: Oliver Killig/HZDR
#AIP:
"
Zwerggalaxien beleuchten jahrzehntealte Debatte über Dunkle Materie
"
".. Licht in .. Debatte .. gebracht, warum Galaxien sich schneller drehen als erwartet – und ob .. Verhalten durch unsichtbare Dunkle Materie oder durch .. Zusammenbruch der Gravitation auf kosmischen Skalen verursacht wird."
https://www.aip.de/de/news/dark-matter-debate-narrows/
27.10.2025
#DiRAC #DM #DunkleMaterie #Gravitationsbeschleunigung #Gravitationsfeld #Halo #Masse #ModifizierteNewtonscheDynamik #Supercomputing #Universum #Zwerggalaxie
It is important to note that the context of the quotation shows that Dirac was arguing that mathematical beauty was a reason to have faith that a theory would in the end turn out to be correct — despite present contrary experimental evidence — when further insights or experiments brought theory and evidence back into alignment.
Dirac was drawing a moral from a time when Schrödinger had been discouraged from publishing the relativistic version of his wave equation because of a disagreement with evidence, which was later resolved.
For discussion of the episode and references to primary sources, see pp.902–3 of my book ‘Form & Number: A History of Mathematical Beauty’ (freely available under a CC licence; link in my profile).
objetivo: Dibujar los 3 planos Cartesianos
- En matplotlib
proceso : El orden de los planos es:
- z, x, y (xy, yz, xz)
- amarillo, azul, rojo
#Python #Matplotlib #Matematica #Flisol #SoftwareLibre #Dirac
Dirac notations.
#Dirac #Notation #Notations #Vector #Ket #VectorDual #Bra #InnerProduct #Tensor #TensorProduct #
In 1928, Paul Dirac’s equation makes Schrödinger’s equation consistent with relativity. #Poetry #Science #History #Physics #Dirac (https://sharpgiving.com/thebookofscience/items/p1928b.html)
Eglise Saint-Martial à #Dirac (#Charente) Eglise romane du XIIe siècle présentant une façade composée de deux séries d'arcades superposées. La nef est voûtée en berceau plein cintre. La travée d'avant-choeur es...
Suite 👉 https://monumentum.fr/monument-historique/pa00104356/dirac-eglise-saint-martial
#Patrimoine #MonumentHistorique
Photo CC-BY-SA 4.0 : rosier
Eglise Saint-Martial à #Dirac (#Charente) Eglise romane du XIIe siècle présentant une façade composée de deux séries d'arcades superposées. La nef est voûtée en berceau plein cintre. La travée d'avant-choeur es...
Suite 👉 https://monumentum.fr/monument-historique/pa00104356/dirac-eglise-saint-martial
#Patrimoine #MonumentHistorique
Photo CC-BY-SA 4.0 : rosier
Dirac & Bluesound: please, don’t mess this up! | Darko.Audio. #bluesound #dirac #audiophile https://darko.audio/2024/06/dirac-bluesound-please-dont-mess-this-up/
seems like i was wrong. the \gamma^\mu do transform since they form the basis of the #Dirac #algebra.
there should have been at least a passing mention of \gamma^\mu as basis vectors before throwing this at us.
#physics #QuantumMechanics
2023 Dirac Medal and Prize Award Ceremony
Physiker weisen erstmals masselose Dirac-Elektronen in vierter Dimension nach. Sie existieren unter speziellen Bedingungen, wurden vor 100 Jahren vorhersagt und nun in Graphen und anderen Materialien entdeckt. Team unter Ryuhei Oka identifizierte sie in einem supraleitenden Polymer. #dirac
#Dirac was a strange man who today would probably be diagnosed as being on the #autism spectrum. Tall, gangly and reminiscent of a stick insect, his habit was to work hard all week and on Sundays take long walks in the countryside around Cambridge, where he would climb tall trees dressed in his suit and tie.
'The most magical equation in #physics': How #PaulDirac accidentally revealed the strange world of #antimatter
https://www.livescience.com/physics-mathematics/quantum-physics/pretty-mathematics-how-paul-dirac-found-his-famous-equation
Image source: https://en.m.wikipedia.org/wiki/Dirac_equation
![In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928. In its free form, or including electromagnetic interactions, it describes all spin-1⁄2 massive particles, called "Dirac particles", such as electrons and quarks for which parity is a symmetry. It is consistent with both the principles of quantum mechanics and the theory of special relativity,[1] and was the first theory to account fully for special relativity in the context of quantum mechanics](https://files.mastodon.social/cache/media_attachments/files/112/102/635/732/483/250/original/fa19589c74bfbab9.jpg)
The Largest-Ever Simulation of The Universe Could Finally Reveal How We Got Here
How did the incomprehensibly immense everything of it all get to where it is now, from an unimaginable nothing, billions of years ago?
That's it, really, the question of questions. And, with the largest project of its kind to date, astronomers are attempting to find answers – by conducting computer simulations of the entire Universe.
https://www.sciencealert.com/the-largest-ever-simulation-of-the-universe-could-finally-reveal-how-we-got-here #universe #simulation #FLAMINGO #DiRAC #SWIFT #S8 tension
