Tootfinder

A bilinear form for spin$^c$ manifolds
Huijun Yang
https://arxiv.org/abs/2509.01979 https://arxiv.org/pdf/2509.01979

A bilinear form for spin$^c$ manifolds
For any $(8n {+} 2)$-dimensional closed oriented spin$^{c}$ manifold, denote by $[M]$ the fundamental class of $M$, $\langle \cdot ~, ~\cdot \rangle$ the Kronecker product, and $ρ_{2} \colon H^{4n}(M; \mathbb{Z}) \rightarrow H^{4n}(M; \mathbb{Z}/2)$ the $\bmod ~ 2$ reduction homomorphism. In this paper, we will prove that the following identity \[ \langle ρ_2(t) \cdot Sq^2 ρ_2 (t), [M] \rangle = \langle ρ_2 (t) \cdot Sq^2 v_{4n}(M), [M]\rangle, \] holds for any torsion class $t \in H^{4n}(M…

Universal tradeoff relations between resource cost and irreversibility of channels: General-resource Wigner-Araki-Yanase theorems and beyond
Hiroyasu Tajima, Koji Yamaguchi, Ryuji Takagi, Yui Kuramochi
https://arxiv.org/abs/2507.23760

Universal tradeoff relations between resource cost and irreversibility of channels: General-resource Wigner-Araki-Yanase theorems and beyond
Quantum technologies offer exceptional -- sometimes almost magical -- speed and performance, yet every quantum process costs physical resources. Designing next-generation quantum devices, therefore, depends on solving the following question: which resources, and in what amount, are required to implement a desired quantum process? Casting the problem in the language of quantum resource theories, we prove a universal cost-irreversibility tradeoff: the lower the irreversibility of a quantum proces…

Just reported that I found a couple of dead Salamander at beginning of August in the #Karwendel . 😞
Luckily I was following the Blog of karwendel.org. Otherwise I wouldn't have known that reports about such incidents should be reported:

Tatterfrau, Tattermann und der Salamander-Fresser - Naturpark Karwendel ⛰️
Eine Pilz-Krankheit breitet sich unter heimischen Salamander- und Molch-Arten aus. Deshalb sollen kranke Alpensalamander gemeldet werden.

#USpol

Schon arg. Da werden in Flensburg und LIppstadt jeweils ein evangelisches und ein katholisches Krankenhaus fusioniert und nun dürfen dort keine Schwangerschaftsabbrüche (selbst nach Vergewaltigungen) mehr durch geführt werden. Wo bitte leben wir?
Keine Steuergelder mehr für solche Krankenhäuser. Wenn eine Organgisation ideologisch so ausgerichtet is, dass nicht gelten darf, was gesetztlich erlaubt ist, dann muss sie sich selbst finanzieren.
Dazu:

Mind the Gap: From Resolving Theoretical Foundations of Chiral(ity)-Induced Spin Selectivity to Pioneering Implementations in Quantum Sensing
Yan Xi Foo, Aisha Kermiche, Farhan T. Chowdhury, Clarice D. Aiello, Luke D. Smith
https://arxiv.org/abs/2508.05611

Mind the Gap: From Resolving Theoretical Foundations of Chiral(ity)-Induced Spin Selectivity to Pioneering Implementations in Quantum Sensing
The chiral(ity)-induced spin selectivity (CISS) effect, where electrons passing through a chiral medium acquire significant spin-polarization at ambient temperatures, has been widely observed experimentally, yet its theoretical foundations remain actively debated. Open questions persist regarding whether CISS originates from helical geometry or more general chirality, and whether a unified mechanism can account for phenomena across solid-state and soft-matter systems, mesoscopic films, and sing…

Evidence for shape coexistence in $^{120}$Sn from the first $0^ _3$ lifetime measurement
F. Wu, C. Andreoiu, V. Karayonchev, C. M. Petrache, J. -M. R\'egis, A. Esmaylzadeh, C. Michelagnoli, M. Beuschlein, P. Spagnoletti, G. Colombi, J. M. Daugas, L. Domenichetti, P. E. Garrett, J. Jolie, M. Ley, S. Pannu, E. Taddei
https://arxiv.org/ab…

Evidence for shape coexistence in $^{120}$Sn from the first $0^+_3$ lifetime measurement
The lifetime of the $0^+_3$ state in $^{120}$Sn was measured for the first time applying the fast-timing technique following thermal neutron capture. The mean lifetime of $τ= 50(7)$~ps leads to a $E0$ transition strength of $10^3\times ρ^2(E0;0^+_3\rightarrow0^+_2) = 120(50)$, suggesting shape coexistence and a high degree of mixing between the $0^+_2$ and $0^+_3$ states. With the newly measured lifetime, the $B(E2;0^+_3\rightarrow 2^+_1)$ value is 0.50(7)~W.u., which reveals that the $ρ^2(E…