It has been asked and answered before how to derive the Maxwell equations from the electromagnetic Lagrangian which in the vacuum is: $$\mathcal{L}=-\frac{1}{4\mu_0} F_{\mu\nu}F^{\mu\nu}$$ As in the linked question and answers, the correct approach is to write $\mathcal{L}$ in terms of the vector potential $A_\mu$ , and then apply the variational calculus. In this question, my concern is about ho…

Let’s consider a wire of resistivity $\rho$ , length $L$ , and cross-sectional area $A$ , carrying a time-varying current $I(t)$ such that $\frac{dI}{dt} = k$ , where $k$ is a constant. This wire is connected to a parallel-plate capacitor of capacitance $C$ , forming a standard charging capacitor setup. We apply Ampère–Maxwell’s Law in integral form: $$ \oint \vec{B} \cdot d\vec{l} = \mu_0 \left(…

_European Journal of Philosophy_. forthcomingThis paper is about showing that Plato has a theory of ideology in the broadly Marxist sense of distorted self-consciousness of social life. Focusing on the Allegory of the Cave and related passages in the Republic, the paper argues that in the Cave, Plato illustrates the social mediation of human psychology, which contributes to the soul's orientation…

When people hear the term artificial intelligence, they often think of tools that generate text, create images, or answer questions. But artificial intelligence is much broader than that. It includes systems that can recognize objects in images, understand spoken language, analyze documents, identify patterns in data, make predictions, and help organizations automate complex tasks. After completi…

BackgroundPsilocybin treatment has shown promise across a range of psychiatric conditions. Mystical-type experiences during dosing sessions have been shown to predict the clinical effects of psilocybin treatment in depression, anxiety, and addiction. However, no studies have examined whether acute subjective experiences predict treatment response in obsessive-compulsive disorder (OCD).MethodsExpl…

Parents in a Pennsylvania district say ed tech distracts from more meaningful learning.

The discovery offers new insights into the funerary traditions and administrative structures of the late Fifth Dynasty, a pivotal moment in Old Kingdom religion and politics

Scientific Reports, Published online: 08 September 2026; doi:10.1038/s41598-026-70351-6 Synthesis methods effects on performance and aging of cobalt-free (CrMnFeNiAl) 3 O 4 high-entropy oxide nanoparticles as lithium-ion battery anodes

these california homes reveal how architecture changes when fire becomes something the house is expected to encounter. The post how do california architects design a house to live with wildfire? appeared first on designboom | architecture & design magazine .