Descartes treated inner experience as the epistemically secure foundation and the external world as uncertain superstructure. The cogito is indubitable because it requires no assumptions about an ...

nLab Hopf construction Contents Context Bundles bundles - covering space - retractive space - fiber bundle, fiber ∞-bundle numerable bundle - principal bundle, principal ∞-bundle - associated bundle, associated ∞-bundle - vector bundle, 2-vector bundle, (∞,1)-vector bundle real, complex/holomorphic, quaternionic topological, differentiable, algebraic with connection - b…

synthetic differential geometry Introductions geometry of physics: coordinate systems, smooth spaces, manifolds, smooth homotopy types, supergeometry Differentials Tangency The magic algebraic facts Theorems Axiomatics Models smooth algebra (-ring) differential equations, variational calculus Chern-Weil theory, ∞-Chern-Weil theory Cartan geometry (super, higher) higher geometry / derived geometry…

Nature Geoscience, Published online: 29 June 2026; doi:10.1038/s41561-026-02034-w Satellite observations suggest an approximate 20% increase in global riverine particulate organic carbon export to the ocean over the past four decades, driven primarily by tropical deforestation and Arctic permafrost thaw.

Nature Geoscience, Published online: 29 June 2026; doi:10.1038/s41561-026-02027-9 Two independent studies suggest that thousands of submarine volcanoes in the Pacific Ocean and offshore Africa are likely to have resulted from two high-temperature structures in the lower mantle, whose location and morphology are influenced by plate subduction. Together, their findings imply many forms of intraplat…

Nature Communications, Published online: 29 June 2026; doi:10.1038/s41467-026-74575-y In this work, authors used unsupervised 3D diffusion autoencoders on 71k cardiac MRIs to learn latent heart representations predictive of cardiometabolic disease, identify 89 GWAS variants across 42 loci, and derive polygenic risk scores that stratify cardiovascular risk.

Nature Communications, Published online: 29 June 2026; doi:10.1038/s41467-026-75035-3 A predictive model is proposed to quantify the H-reduced defect recombination radii. Building on this model, a multiscale modelling framework is developed to describe H-stabilized displacement damage, yielding excellent agreement with experiments.

Nature Communications, Published online: 29 June 2026; doi:10.1038/s41467-026-74853-9 The links between deep-time geologic processes and microbial distribution remain poorly understood. This paper reveals that tectonic and geochemical evolution shapes the global biogeography of hydrothermal bacteria by limiting their dispersal to the oceans formed after oxygenation.

Nature Communications, Published online: 29 June 2026; doi:10.1038/s41467-026-74976-z Continuous focus maintenance during intravital 3D imaging remains challenging. Here, Wang et al. proposed a real-time autofocus method for scanning light-field microscopy that enables stable, long-term, multichannel subcellular imaging of neural activities and immune responses in mouse brain and liver.

Clive Neal, professor of civil and environmental engineering and earth sciences at the University of Notre Dame, has been awarded the 2026 Eugene Shoemaker Distinguished Scientist Medal by NASA’s Solar System Exploration Research Virtual Institute (SSERVI).  Named after American geologist Eugene Shoemaker (1928-1997), one of the founders of planetary science, the award is given annually […] The p…

npj Climate and Atmospheric Science, Published online: 29 June 2026; doi:10.1038/s41612-026-01470-0 Critical role of single-particle partial coating fractions in reproducing black carbon absorption and refining climate simulations

IntroductionSocial media in higher vocational colleges commonly faces problems such as content homogenization, insufficient interactivity, and disorderly vocational resources, which lead to lower student satisfaction. Existing studies mostly focus on general universities or general user groups, and insufficiently examine the demand differences and satisfaction driving mechanisms of vocational col…

Lithium, the gold-standard treatment for bipolar disorder, exhibits highly heterogeneous clinical responses and no validated biological predictors of responsiveness are currently available. Emerging evidence suggests that the gut microbiota influences mood disorders and psychotropic drug response, raising the hypothesis that specific microbial signatures may modulate lithium responsiveness. In th…

This White-browed Spinetail ( Hellmayrea gularis ) was searching the bark of trees—and taking proffered mealworms—at Hacienda El Bosque, a popular birding lodge at an altitude 11,000 feet (3,350 metres) in the Cordillera Central of the Colombian Andes. It is one of many species in the Central and South American ovenbird family, Furnariidae. This species is found in damp forests along the Andes fr…

Personal Perspective: Going from psychotherapist to executive coach meant learning about leadership, understanding systemic rather than intrapsychic complexity, and changing identity.

What doctors witness at the bedside doesn't always stay there. Here's what vicarious trauma really costs, and the small practices that can protect us.

Scientific Reports, Published online: 29 June 2026; doi:10.1038/s41598-026-56273-3 Controlling the formation of endotaxial CoSi 2 nanowires and nanodots on Si(001)

Scientific Reports, Published online: 29 June 2026; doi:10.1038/s41598-026-59635-z Biopolymeric templates for green synthesis of nanoporous silica adsorbents for wastewater remediation

Scientific Reports, Published online: 29 June 2026; doi:10.1038/s41598-026-59503-w Polymer-free all-glass millimeter-Wave antenna-in-package platform with vertical-transition-free aperture-coupled feeding at 28 GHz

I am interested in testing the CAPM using the GRS test . Consider $N$ assets observed for $T$ time periods. Using the notation of Cochrane "Asset Pricing" (2005), the GRS test amounts to running $N$ time series regressions of the form $$ R^{ei}_t=\alpha_i+\beta_i f_t+\varepsilon^i_t \tag{12.1} $$ and testing the joint hypothesis $H_0\colon \alpha_1=\dots=\alpha_N=0$ . The $\alpha$ s are treated a…