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Lijun Gou coauthored an estimate of black-hole spin in Cygnus X-1 using the thermal spectrum of its accretion disk. The analysis combines independent constraints on mass, distance and inclination with a relativistic thin-disk model to infer an inner emitting radius and hence a spin parameter.[ref]
The Extreme Spin of the Black Hole in Cygnus X-1 by Lijun Gou and others. Abstract: continuum fitting and external parameter uncertainties
This is a model-based inference rather than a direct image of the event horizon. Disk geometry, calibration and the relation between the spin and orbital axes are part of the interpretation.
Lev Kofman co-developed models of energy transfer after cosmic inflation, including particle production amplified by an oscillating inflaton. The reheating analysis treats effects beyond a purely perturbative decay calculation, with parametric resonance and the response of the produced particles changing the subsequent evolution.[ref]
Towards the Theory of Reheating After Inflation by Lev Kofman and others. Abstract: resonant particle production, expansion and backreaction
The physical lesson is that ending accelerated expansion does not by itself establish a thermal universe. One must explain how energy moves into other degrees of freedom and how the resulting distribution evolves.
Andrei Linde develops models of cosmic inflation and the transition to the subsequent hot cosmic state. His work with Lev Kofman and Alexei Starobinsky explained how coherent inflaton oscillations can transfer energy through parametric resonance.
In an expanding background the amplification need not follow the simple periodic pattern of a fixed-frequency oscillator. Their study treated successive production events, backreaction and rescattering, establishing when efficient preheating occurs within the model. Producing particles and reaching thermal equilibrium remain distinct stages.[ref]
Towards the Theory of Reheating After Inflation by Lev Kofman and others. Abstract and introduction: expanding-background resonance and stages of preheating
Portrait of Andrei Linde
. Hypermultiplet; own-work portrait taken 11 July 2018. CC BY-SA 4.0, via Wikimedia Commons. Source.Andrew R. Liddle coauthored an analysis of when observable perturbations were produced relative to the end of cosmic inflation. It shows why a single universal count of expansion factors is not an assumption-free link between an inflationary model and present observations.[ref]
How long before the end of inflation were observable perturbations produced? by Andrew R. Liddle and Samuel M. Leach. Abstract: standard and nonstandard expansion histories
Samuel M. Leach coauthored work connecting observable primordial perturbations to their production during cosmic inflation. The calculation asks how much expansion occurred between the generation of a mode and the end of inflation, accounting for the later cosmic history.[ref]
How long before the end of inflation were observable perturbations produced? by Andrew R. Liddle and Samuel M. Leach. Abstract: expansion-count limits and dependence on later evolution
A theoretical particle physicist who proposed an early grand unified theory mechanism for baryogenesis. His 1978 paper asks whether reactions violating baryon number in the early universe could account for the excess of matter over antimatter. It connects a measurable cosmic asymmetry to particle reactions at much higher energies than laboratory experiments can directly reach.[ref]
Unified Gauge Theories and the Baryon Number of the Universe by Motohiko Yoshimura. Abstract: baryon-number-violating early-universe reactions; source record includes 1979 erratum
Andrei Sakharov connected the cosmic excess of matter over antimatter with microscopic particle reactions. His 1967 paper proposed baryon number violation and CP violation in the expanding early universe as ingredients for generating a baryon asymmetry. The resulting Sakharov conditions also require departure from thermal equilibrium in the usual reaction-based setting: otherwise inverse reactions and symmetry constraints erase the attempted asymmetry. This turns an astronomical abundance question into a test of particle interactions and cosmological history.[ref]
Violation of CP invariance, C asymmetry, and baryon asymmetry of the universe by Andrei Sakharov. 1967 original note: baryon-number nonconservation, CP violation and expanding-universe mechanism
Portrait of Andrei Sakharov
. RIA Novosti archive, image 25981 / Vladimir Fedorenko / CC-BY-SA 3.0; photographed 1 March 1989. Existing Commons close-up crop by JB Hoang Tam 2 (2025). CC BY-SA 3.0, via Wikimedia Commons. Source.The linear free-energy relation . The substituent constant measures electronic character and the reaction constant measures its kinetic sensitivity.
Scientific reproducibility concerns whether the basis of a scientific result can be reconstructed and checked. It requires enough information about the measurement, data handling and reasoning to distinguish repeating a procedure from merely obtaining a similar-looking answer.
Terminology varies between fields. The 2019 National Academies report distinguishes computational reproducibility, using the same data and computational procedure, from scientific replication, which collects new data to address the same scientific question. These test different links in the argument. Repeating a calculation can expose a software or transcription error; new observations can test whether the finding persists beyond the original sample.[ref]
Reproducibility and Replicability in Science by National Academies of Sciences, Engineering, and Medicine. Summary, pp. 6–9: Definitions, Reproducibility and the distinction from new-data replication
Consider an original toy measurement of three lengths, , and units. Recomputing their arithmetic mean as checks the recorded calculation. Measuring three new objects tests a different question: whether the estimated mean describes further observations, allowing for measurement uncertainty and sampling variation. Neither exercise alone establishes that the instrument was correctly calibrated.
First author: Thomas Nagel. The Philosophical Review 83, pp. 435–450, especially pp. 439–442: subjective standpoint versus objective description.
Can biology be an exact science? by J. J. C. Smart by
Codex 0 Created 2026-10-20 Updated 2026-10-24
A predefined event selection in which observed counts or distributions are tested against constrained background predictions. Validation selections and uncertainty propagation test the reliability of the background extrapolation.
A detector that reconstructs one coordinate from the time required for ionization electrons to drift in an electric field, with the other coordinates measured by the charge or light pattern. A two-phase xenon implementation obtains depth from the delay between prompt particle scintillation and gas-phase charge readout.
Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
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- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
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- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. - Infinitely deep tables of contents:
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