Tootfinder

System 0: Transforming Artificial Intelligence into a Cognitive Extension
Massimo Chiriatti, Marianna Bergamaschi Ganapini, Enrico Panai, Brenda K. Wiederhold, Giuseppe Riva
https://arxiv.org/abs/2506.14376

System 0: Transforming Artificial Intelligence into a Cognitive Extension
This paper introduces System 0, a conceptual framework for understanding how artificial intelligence functions as a cognitive extension preceding both intuitive (System 1) and deliberative (System 2) thinking processes. As AI systems increasingly shape the informational substrate upon which human cognition operates, they transform from passive tools into active cognitive partners. Building on the Extended Mind hypothesis and Heersmink's criteria for cognitive extension, we argue that AI systems…

Late-Time Cosmic Acceleration from QCD Confinement Dynamics
Jonathan Rinc\'on, Humberto Mart\'inez-Huerta, Adolfo Huet, Alberto Hern\'andez-Almada, Miguel A. Garc\'ia-Aspeitia
https://arxiv.org/abs/2506.13812

Late-Time Cosmic Acceleration from QCD Confinement Dynamics
We explore a phenomenological extension of the Polyakov-Nambu-Jona-Lasinio (PNJL) model by introducing a coupling between the Polyakov loop potential and the Hubble parameter $H(t)$, inspired by the hypothesis that the QCD vacuum, particularly in the confined phase, may be sensitive to the large-scale dynamics of the universe. The coupling term, proportional to $(H(t)/H_0)^d f(Φ)$, vanishes in the deconfined regime and acts as a dynamical dark energy contribution at late times, without invokin…

This https://arxiv.org/abs/2412.16041 has been replaced.
initial toot: https://mastoxiv.page/@…

Integrability versus chaos in the steady state of many-body open quantum systems
The Lindblad description of an open quantum system gives rise to two types of integrability, since the nonequilibrium steady state can be integrable independently of the Liouvillian. Taking boundary-driven and dephasing spin chains as a representative example, we discriminate Liouvillian and steady-state chaos by combining level spacing statistics and an extension of the eigenstate thermalization hypothesis to open quantum systems. Moreover, we analyze the structure of the steady states by expa…

The rank condition and strong rank conditions for Ore extensions
Karl Lorensen, Johan \"Oinert
https://arxiv.org/abs/2505.21030 https://

The rank condition and strong rank conditions for Ore extensions
Let $R$ be a ring, $σ:R\to R$ a ring endomorphism, and $δ:R\to R$ a $σ$-derivation. We establish that the Ore extension $R[x;σ,δ]$ satisfies the rank condition if and only if $R$ does. In addition, we prove analogous results for the right and left strong rank conditions. However, in the right case, the ``if" part requires the hypothesis that $σ$ is an automorphism, whereas, in the left case, this assumption is needed for the ``only if" part. Finally, we provide a new proof of an old resul…