Tootfinder

DK Metcalf delivers next-level hype for Steelers defense: 'The best I've ever seen'

https://www.cbssports.com/nfl/news/dk-metcalf-delivers…

Mass Lower Bounds for Asymptotically Locally Flat Manifolds
Marcus Khuri, Jian Wang
https://arxiv.org/abs/2509.03014 https://arxiv.org/pdf/2509.03014

Mass Lower Bounds for Asymptotically Locally Flat Manifolds
We establish positive mass type theorems for asymptotically locally flat (ALF) manifolds, which have asymptotic ends modeled on circle bundles over a Euclidean base with fibers of constant length. In particular for dimensions $n\leq 7$, the mass of AF manifolds is shown to be nonnegative under the assumption of nonnegative scalar curvature if a codimension-two coordinate sphere in the asymptotic end is trivial in homology, with zero mass achieved only for the product $\mathbb{R}^{n-1}\times S^1…

Comprehensive Analysis and Exclusion Hypothesis of $\alpha$-Approximation Method for Discretizing Analog Systems
Shen Chen, Jisong Wang, Dejun Liu, Jiaxi Ying, Shuai Wang
https://arxiv.org/abs/2509.02054

Comprehensive Analysis and Exclusion Hypothesis of $α$-Approximation Method for Discretizing Analog Systems
A popular method for designing digital models is transforming the transfer function of the corresponding analog models from continuous domain (s-domain) into discrete domain (z-domain) using the s-to-z transformation. The alpha-approximation is a generalized form of these transformations. When alpha is set to 0.5, the result is the well-known Tustin transformation or bi-linear transformation. In this paper, we provided a comprehensive analysis of the alpha-approximation method, including mathem…

A Google exec says Alphabet has been working for the past two years to technologically decouple its life sciences unit Verily so that it can be sold or spun off (Bloomberg)
https://www.bloomberg.com/news/articles/2025-10-02/alp…

Reduced fidelities for free fermions out of equilibrium: From dynamical quantum phase transitions to Mpemba effect
Gilles Parez, Vincenzo Alba
https://arxiv.org/abs/2509.01608 h…

Reduced fidelities for free fermions out of equilibrium: From dynamical quantum phase transitions to Mpemba effect
We investigate the out-of-equilibrium dynamics after a quantum quench of the reduced fidelities between the states of a subregion $A$ at different times. Precisely, we consider the fidelity between the time-dependent state of $A$ and its initial value, as well as with the state at infinite time. We denote these fidelities as the reduced Loschmidt echo (RLE) and the final-state fidelity (FSF), respectively. If region $A$ is the full systems, the RLE coincide with the standard Loschmidt echo. We …

On screen readers for the blind: #NVDA 64-bit with on-device image description alpha build now available https://groups.google.com/a/nvaccess.org/g/nvda-users/c/Th41cGvjsPI

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics
Faruk Alpay, Hamdi Al Alakkad
https://arxiv.org/abs/2508.00151 https://arxiv.org/…

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics
The Ordinal Folding Index (OFI) is a new, fully computable yard-stick that measures how many rounds of self-reference a statement, protocol or position must unfold before its truth or outcome stabilises. By turning this abstract 'fold-back' depth into a single ordinal number, OFI forges a direct link between areas that are usually studied in isolation: the closure stages of fixed-point logics, the time-to-win values of infinite parity games, and the ordinal progressions that calibrate the stren…

A Diagnostic Kit for Optical Emission Lines Shaped by Accretion Disc Winds
Austen G. W. Wallis, Christian Knigge, James H. Matthews, Knox S. Long, Stuart A. Sim
https://arxiv.org/abs/2509.02858

A Diagnostic Kit for Optical Emission Lines Shaped by Accretion Disc Winds
Blueshifted absorption is the classic spectroscopic signature of an accretion disc wind in X-ray binaries and cataclysmic variables (CVs). However, outflows can also create pure emission lines, especially at optical wavelengths. Therefore, developing other outflow diagnostics for these types of lines is worthwhile. With this in mind, we construct a systematic grid of 3645 synthetic wind-formed H-alpha line profiles for CVs with the radiative transfer code SIROCCO. Our grid yields a variety of l…

13 Billion Years of MgII Absorber Evolution
Christopher W. Churchill (New Mexico State University), Asif Abbas (New Mexico State University), Glenn G. Kapcrzak (Swinburne University of Technology), Nikole M. Nielsen (Swinburne University of Technology, University of Oklahoma)
https://arxiv.org/abs/2510.01430

13 Billion Years of MgII Absorber Evolution
Applying "apportioned integrals," we use dN/dX measurements to determine the MgII absorber equivalent width distribution function for Wr > 0.03 [angstroms] and 0 < z < 7. Adopting a Schechter distribution, f(z,W)dW = Phi* (W/W*)^alpha e^{-W/W*} dW/W*, we present the normalization, Phi*(z), the characteristic equivalent width, W*(z), and the weak-end slope, alpha(z), as smooth functions of redshift. Measurements of dN/dX are robust for z < 4 but less so at z > 4 for weaker absorbers (Wr < 0.3 [a…

Viability Constraints on Baryogenesis in f (R, Lm, T) Gravity
Kalyan Malakar, Rajdeep Mazumdar, Mrinnoy M Gohain, Kalyan Bhuyan
https://arxiv.org/abs/2509.03053 https://

Viability Constraints on Baryogenesis in f (R, Lm, T) Gravity
Our study explores gravitational baryogenesis in the context of f(R, Lm, T) gravity, where R denotes the Ricci scalar, Lm represents the Lagrangian density of the matter field, and T stands for the metric contraction of T_{mu nu}. We focus on a linear model: f(R, Lm, T) = alpha R + beta Lm + gamma T, and examine the parameter constraints for a successful baryon asymmetry generation in four different eras of the cosmos under the assumption of a power-law cosmic expansion. The computed baryon-to-…