Tootfinder

Tether reports that it has generated profits of over $10B during the first three quarters of 2025 and it has issued an additional $17B in USDT during Q3 (RT Watson/The Block)
https://www.theblock.co/post/377120/tethers-annual-profits-top-1…

Unsupervised Detection of Topological Phase Transitions with a Quantum Reservoir
Li Xin, Da Zhang, Zhang-Qi Yin
https://arxiv.org/abs/2509.25825 https://ar…

Unsupervised Detection of Topological Phase Transitions with a Quantum Reservoir
In quantum many-body systems, characterizing topological phase transitions typically requires complex many-body topological invariants, which are costly to compute and measure. Inspired by quantum reservoir computing, we propose an unsupervised quantum phase detection method based on a many-body localized evolution, enabling efficient identification of phase transitions in the extended SSH model. The evolved quantum states produce feature distributions under local measurements, which, after sim…

Abelian 3D TQFT gravity, ensemble holography and stabilizer states
Nikolaos Angelinos
https://arxiv.org/abs/2509.26052 https://arxiv.org/pdf/2509.26052

Abelian 3D TQFT gravity, ensemble holography and stabilizer states
We construct a model of 3D quantum gravity based on abelian topological quantum field theory (TQFT), by defining the gravitational path-integral as a sum over all 3D topologies with genus-$g$ boundary $Σ_g$. The path-integral of an abelian TQFT $\mathcal T$ on any single topology with boundary $Σ_g$ prepares a stabilizer state. This way, $\mathcal T$ partitions all these topologies into finitely many equivalence classes, where each topology within a class is associated with the same stabilize…

Topological Textures in Zr-Substituted Barium Titanate
Florian Mayer
https://arxiv.org/abs/2509.26023 https://arxiv.org/pdf/2509.26023

Topological Textures in Zr-Substituted Barium Titanate
Topological polarization textures in ferroelectrics offer pathways to dense memory, neuromorphic computing, and controlled probes of topology in solids. In rhombohedral barium titanate, theory has identified stable antiskyrmions of topological charge -2 that fractionalize into six -1/3 fractional hotspots, termed topological quarks. Here we extend this landscape to Zr-substituted barium titanate (BZT) using a first-principles parameterized effective-Hamiltonian framework. In an ordered 12.5% co…

Topological Vector Spaces
Pierre Colmez, Wies{\l}awa Nizio{\l}
https://arxiv.org/abs/2509.25981 https://arxiv.org/pdf/2509.25981

Topological Vector Spaces
Motivated by applications to duality theorems for $p$-adic pro-étale cohomology of rigid analytic spaces, we study the category of Topological Vector Spaces in the setting of condensed mathematics. We prove that it contains, as full subcategories, both the category of (topologically) bounded algebraic Vector Spaces and the category of perfect complexes on the Fargues-Fontaine curve. Vector Spaces coming from $p$-adic pro-étale cohomology of smooth partially proper rigid analytic varieties are…

Magnetic phase transitions protected by topological quantum geometry transitions: effects of electron-electron interactions in the Creutz ladder system
Abdiel de Jes\'us Espinosa-Champo, Gerardo G. Naumis
https://arxiv.org/abs/2509.26320

Magnetic phase transitions protected by topological quantum geometry transitions: effects of electron-electron interactions in the Creutz ladder system
The interplay between electronic correlations and band topology is a central theme in modern condensed matter physics. In this work, we investigate the effects of on-site Hubbard interactions on the topological, magnetic, and quantum geometric properties of the Creutz ladder, a paradigmatic model of a one-dimensional topological insulator. Using a self-consistent mean-field approach, we uncover a first-order, interaction-driven phase transition that is simultaneously magnetic and topological. W…

Interactive resizing of picture and table content in Rmd and Quarto: #rstats

On the combinatorics of tableaux -- A notebook of open problems
Dale R. Worley
https://arxiv.org/abs/2509.25446 https://arxiv.org/pdf/2509.25446

On the combinatorics of tableaux -- A notebook of open problems
Inspired by the the Kourovka Notebook of unsolved problems in group theory [KhukhMaz2024], this is a notebook of unsolved problems in the combinatorics of tableaux. Contributions to the notebook are invited.

Topology of the Aharonov-Bohm effect in different reference frames
Hiram S. M. Rodrigues, Katson W. O. Ar\'evola, Pablo L. Saldanha
https://arxiv.org/abs/2509.26533 https://…

Topology of the Aharonov-Bohm effect in different reference frames
Recent works showed that the Aharonov-Bohm (AB) phase difference for a quantum charged particle can be written in terms of electric and magnetic fluxes in a spacetime surface whose boundaries are the possible particle worldlines in the interferometer, relative to the possible paths. After presenting this result in a more detailed way, reinforcing its topological nature, we study the magnetic and electric versions of the AB effect in different inertial reference frames. We find a particular refe…

Design Principles for Topological Thermoelectrics
Brian Skinner, Poulomi Chakraborty, Joshua Scales, Joseph P. Heremans
https://arxiv.org/abs/2509.25371 https://

Design Principles for Topological Thermoelectrics
Conventional metals, insulators, and semimetals are constrained by fundamental limitations in terms of their thermoelectric performance. Topological materials offer certain features that allow them to circumvent these constraints, and potentially to form the basis for thermoelectric devices with unprecedented efficiency. In this article we review the thermoelectric performance of topological materials, focusing specifically on nodal semimetals, such as Weyl and nodal-line semimetals. We discuss…