Tootfinder

A remarkable dynamical symmetry of the Landau problem
Tekin Dereli, Philippe Nounahon, Todor Popov
https://arxiv.org/abs/2506.11642 https://

A remarkable dynamical symmetry of the Landau problem
We show that the dynamical group of an electron in a constant magnetic field is the group of symplectomorphisms $Sp(4,\mathbb{R})$. It is generated by the spinorial realization of the conformal algebra $\mathfrak{so}(2,3)$ considered in Dirac's seminal paper "A Remarkable Representation of the 3 + 2 de Sitter Group". The symplectic group $Sp(4,\mathbb{R})$ is the double covering of the conformal group $SO(2,3)$ of 2+1 dimensional Minkowski spacetime which is in turn the dynamical group of a hyd…

Very excited about this! Code to access GRIN will help lots of Google Books partners, and the example might open other doors, as well as the obvious benefits of access to data!
'Institutional Books 1.0: A 242B token dataset from Harvard Library's collections, refined for accuracy and usability' https://arxiv.org/abs/2506…

Institutional Books 1.0: A 242B token dataset from Harvard Library's collections, refined for accuracy and usability
Large language models (LLMs) use data to learn about the world in order to produce meaningful correlations and predictions. As such, the nature, scale, quality, and diversity of the datasets used to train these models, or to support their work at inference time, have a direct impact on their quality. The rapid development and adoption of LLMs of varying quality has brought into focus the scarcity of publicly available, high-quality training data and revealed an urgent need to ground the steward…

Kinda cool to see the programme for the UN's open source week... https://www.un.org/digital-emerging-technologies/content/open-source-week-2025 but, of course, it's already almost entirely co-opted by corporate interests. They shit on ev…

"""
"[…] Wanting a man got me into awful troubles more than once. But wanting to get married, never! No, no. None of that for me."
"Why not?" Tenar demanded.
Taken aback, Moss said simply, "Why, what man'd marry a witch?" And then, with a sidelong chewing motion of her jaw, like a sheep shifting its cud, “And what witch’d marry a man?"
They split rushes.
"What's wrong with men?" Tenar inquired cautiously.
As cautiously, lowering her voice, Moss replied, "I don't know, my dearie. I’ve thought on it. Often I’ve thought on it. The best I can say it is like this. A man’s in his skin, see, like a nut in its shell." She held up her long, bent, wet fingers as if holding a walnut. “It’s hard and strong, that shell, and it’s all full of him. Full of grand man-meat, man-self. And that’s all. That’s all there is. It’s all him and nothing else, inside."
Tenar pondered awhile and finally asked, "But if he's a wizard—"
"Then it's all his power, inside. His power’s himself, see. That’s how it is with him. And that’s all. When his power goes, he’s gone. Empty." She cracked the unseen walnut and tossed the shells away. “Nothing."
"And a woman, then?"
"Oh, well, dearie, a woman's a different thing entirely. Who knows where a woman begins and ends? Listen, mistress, I have roots, I have roots deeper than this island. Deeper than the sea, older than the raising of the lands. I go back into the dark." Moss’s eyes shone with a weird brightness in their red rims and her voice sang like an instrument. “I go back into the dark! Before the moon I was. No one knows, no one knows, no one can say what I am, what a woman is, a woman of power, a woman’s power, deeper than the roots of trees, deeper than the roots of islands, older than the Making, older than the moon. Who dares ask questions of the dark? Who’ll ask the dark its name?"
"""
(Ursula K. Le Guin, Tehanu)

Relikt przeszłości — dworzec kolejowy w Dąbroszynie. Do dziś zachowały się godziny otwarcia kasy biletowej.
#Dąbroszyn #ruina #kolej

Dzisiaj noc z takim widoczkiem - znowu spanie pod mostem :)

Teraz ostatnie minuty chillowania z "the long dark", a jutro "rano" zaraz jedziemy do muzeum II WŚ w Narviku oddonego już o jakieś 60km.

#norwegia #vanlife

Test @…!
#RudolfRocker

Differential Space of Feynman Integrals: Annihilators and $\mathcal{D}$-module
Vsevolod Chestnov, Wojciech Flieger, Pierpaolo Mastrolia, Saiei-Jaeyeong Matsubara-Heo, Nobuki Takayama, William J. Torres Bobadilla
https://arxiv.org/abs/2506.10456

Differential Space of Feynman Integrals: Annihilators and $\mathcal{D}$-module
We present a novel algorithm for constructing differential operators with respect to external variables that annihilate Feynman-like integrals and give rise to the associated $\mathcal{D}$-modules, based on Griffiths-Dwork reduction. By leveraging the Macaulay matrix method, we derive corresponding relations among partial differential operators, including systems of Pfaffian equations and Picard-Fuchs operators. Our computational approach is applicable to twisted period integrals in projective …

Discrete Audio Tokens: More Than a Survey!
Pooneh Mousavi, Gallil Maimon, Adel Moumen, Darius Petermann, Jiatong Shi, Haibin Wu, Haici Yang, Anastasia Kuznetsova, Artem Ploujnikov, Ricard Marxer, Bhuvana Ramabhadran, Benjamin Elizalde, Loren Lugosch, Jinyu Li, Cem Subakan, Phil Woodland, Minje Kim, Hung-yi Lee, Shinji Watanabe, Yossi Adi, Mirco Ravanelli

Discrete Audio Tokens: More Than a Survey!
Discrete audio tokens are compact representations that aim to preserve perceptual quality, phonetic content, and speaker characteristics while enabling efficient storage and inference, as well as competitive performance across diverse downstream tasks.They provide a practical alternative to continuous features, enabling the integration of speech and audio into modern large language models (LLMs). As interest in token-based audio processing grows, various tokenization methods have emerged, and s…

Measurement of Downward-going Milli-charged particles beyond GZK cutoff at the Pierre Auger Observatory
Ye Xu
https://arxiv.org/abs/2506.07395 https://

Measurement of Downward-going Milli-charged particles beyond GZK cutoff at the Pierre Auger Observatory
It is assumed that superheavy dark matter particles (SHDM, $ϕ$) with $\mathcal{O}$(ZeV) mass may decay to relativistic milli-charged particles (MCPs, $χ$) via a channel $ϕ\toχ\barχ$ or $γχ\barχ$. The downward-going MCPs passing through the atmosphere can be measured by the Pierre Auger observatory (Auger). The massless hidden photon model is taken for MCPs to interact with nuclei, so that we evaluated the numbers and fluxes of expected MCPs at Auger assuming 14 years of Auger data. The …