Does Olaplex repair disulfide bonds? Analysing the Cosmetics study
I’ve talked about how Olaplex and other bond builders probably don’t act at broken disulfide bonds before – they do work to make hair feel and behave like it has more bonds, but…
Fractional Tans, Part 2: Grid
As promised in Part 1, here’s a post on polyforms made from half-weight tans on the tetrakis square grid. The pieces with three and four of these collectively have weight·area 16, so we get to…
A Serious Math Arc
One thing that many highly capable people have in common: A serious math arc. It’s a rite of passage in the journey to developing alien-level skills.
Taylor Polynomials
A Taylor polynomial is a polynomial constructed from the derivatives of a function at a given point. It provides a local approximation of the function and can be used, among other applications, to…
Standing By The Record Machine - Chapter Six
At a Contra Costa substation, Ray finds a waveform electricity shouldn't be able to make. Then the State of California emails him.
Approximating Random Serial Dictatorship: Hardness and Markov Chains
Haris Aziz, Bart de Keijzer, Sebastian Homrighausen, Ali Pourmiri: A pproximating Random Serial Dictatorship: Hardness and Markov Chains . Working Paper, 202 6 Abstract: We consider a setting in…
The more samples I took, the less my noise floor could see
A noise floor built from the range of K single samples, compared against a mean: why it widens as K grows while the measurement behind it gets better, what it adds on two real suites, and what should…
Physics 2.0
What Physics 2.0 will look like
Polar explorer
Accidentally running a checkerboarded square as a linear polar and then performing a polar to cartesian transformation, with repeats, yields inwardly folding patterns. first <a…
Adenosine Intelligence Fuels All Molecular Tags
Cells make their largest decisions at a few regulatory hubs: AMPK, which senses energy; mTOR, which decides whether to grow; p53, which guards the genome; and NF-κB, which coordinates inflammation…
Scientists decipher charred ancient scrolls
Imagine a book arrives by post, packed in a cardboard box. Can you read the book without opening the box? Thanks to advanced technology, to AI and to the power of mathematics, the challenge can be…
Research I did
I am a researcher with specialties in numerical accuracy, artificial intelligence, data analysis, and high-performance computing. Papers You can find most of my publications on Researchgate:…
Complexity and Lean
In the OpenAI Math Drop some papers have Lean proofs, others don't, including L = RL = BPL. Why is it hard to formalize results on complexity classes? Let's consider an example, Lautemann's proof…
From Subsidies to Lotteries: A Payment Bridge for Best-of-Both-Worlds Fairness
I am sharing a preliminary draft of joint work with Xinhang Lu, Simon Mackenzie, and Mashbat Suzuki on best-of-both-worlds fair division. We establish an algorithmic payment bridge: polynomial-time…
Shorts (1) ‘Quantum Mechanics is a Letdown!’
A short analysis and summary of my essay. (1) Photograph by the author. Source <a class="au nw" href="https://www.flickr.com/photos/193304911@N06/55588793025/in/dateposted" rel="noopener ugc…
Why we need a new paradigm to address behavior disorders in dogs
By Carol Beuchat PhD Many breeders have had the experience of whelping a litter that went on for hours. There can be long periods of no apparent progress between some births, and things can all too…
Sudden Death of Entanglement, Rebirth of Magic: Amplitude Damping in Q#
Entanglement is fragile, and one of the more striking ways in which it is fragile was pointed out by Ting Yu and Joseph Eberly in 2004. Two qubits left to relax independently, each of them losing its…
Lowering the Exponent
On using bare-hands p-adic valuations to solve problems. An abridged version was published in Crux Mathematicorum September 2026.
Demystifying Spherical Harmonics: An Optimization Approach
Ever since I first heard of spherical harmonics as an approximation in computer graphics, I have felt that the way they are explained is too complicated. Sometimes the explanations assume a bunch of…
Terry Tao’s Analysis and AI Math
In my last post, I mentioned that I’d been following Analysis I (fourth edition, 2022) by Terry Tao. This is a lovely book on real analysis (basically, the theory of calculus) based on an honors…
Thoughts on Brown Dwarfs, Science Fiction and New Telescopes
Here’s an interesting notion, courtesy of science fiction writer Jack McDevitt. Jack’s story “Lighthouse” (available in Cryptic: The Best Short Fiction of Jack McDevitt (Subterranean Press, 2009)…
Collision Calculus
Move one dot and a sampling error reverses. A new book develops the boundary and energy calculations behind interacting signals, growing grids and the half-cell carry limit.
Cantor's Zigzag
This post discusses Cantor's "zigzag" argument.
The flatness of the rotation curve of the Milky Way is challenged
Sabine Hossenfelder (see this ) told about the recent findings challenging the view that the rotation curve of the Milky Way is flat. The findings are discussed in the article "The rotation Curve of…
Late News on Hyloid Frogs
One of the most interesting of anuran groups – in my humble opinion – is Hyloidea, also known as Hyloides….
Whose fault is it? Is it always Fair to Blame the San Andreas?
Before I go much further, I want to stress how serious earthquakes are. It's not really a laughing matter if you live as I do in earthquake country. Millions of people have died from earthquakes in…
New Study Suggests Large Regions Of The Pacific Ocean Have Been Cooling For The Last 80 Years
The Pacific Ocean covers about one-third of the Earth’s surface. Much of it has been cooling in this era of “global” warming. New research indicates there has been “cooling of…
Why does quantum computing still feel split in two?
Dear Reader, For a long time, discussions in the QC community have felt a bit like there are two camps. I used to think this was just the NISQ vs FTQC debate. However, during this year’s IEEE Quantum…
AlphaEvolve and Gemini: Autonomous Algorithm Discovery for Unified Disaster Prediction
Gists 📄 Published Paper (Open Access on Zenodo): Autonomous Discovery of Unified Multi-Hazard Prediction Theory from Netatmo IoT Weather Big Data Using AlphaEvolve 🔗 Full Paper URL:…
September Climate Data
With September climate data now available, let's look back at the predominant weather patterns for the month. The monthly-mean circulation anomaly was quite similar to August , with a high-pressure…
Partnering with Researchers at UCF, Harvard, and Carnegie Mellon to Develop New Forms of Memory Storage and Recall
Partnership with Carnegie Mellon University for Project TOGGLE. The way in which the brain stores and retrieves memory and information nonlocally across the tissues differs significantly from the way…
De-Orphanizing Modular Secretion Machinery in the Dark Proteome: A 0.64 Å Structural Match Across Extreme Halophiles
How pg_bio's hybrid vector + Smith-Waterman engine and 3D Kabsch superposition uncovered a 371-residue modular PrgI/TraC membrane nanomachine shared between Halonotius terrestris and haloalkaliphilic…
Booklog: On the Calculation of Volume I
Thoughts on
Three Clinical Trial Terminations: Two for Siplizumab, One for TOL-3021
Sometimes clinical trials are terminated while on going. This is always sad for me, but it is important to keep track of the failures and also the reasons for those failures. This blog describes…
Isaias Leaves Only Minor Impact on 2026 Atlantic ACE
Isaias, the 2026 Atlantic Season's first hurricane, only made a dent on the accumulated cyclone energy for the year.
Will We Ever See the Good Old Days of 6 Metre DX Again?
Ham Radio DX | Amateur Radio Will We Ever See the Good Old Days of 6 Metre DX Again? I’ve heard plenty of stories from amateur radio operators about the good old days of 6 metres, particularly…
The Chaperone
Cleveland Clinic, RIKEN, and IBM simulated a 12,635-atom protein–ligand system using quantum processors inside a classical workflow. So, while we're making progress, is this going to be better than…
Agarikon: Identification, Uses, and Conservation
Agarikon is a very special and rare fungus that grows on old conifers and can live for 60 to 70 years. You may have heard about agarikon as an ancient medicinal mushroom. It is widely touted as a…
Stability Mountains for Varah 7-12
This is in continuation of: Stability Regions for Varah's Formulas Design Notes on System for the Analysis of Order- and Stepsize Changes for Cyclic Composite Multistep Methods Tendler-like…
The Visible Human Project
Researchers created a dataset of photos of thousands of paper-thin slices of a male and female cadaver to create one of the most detailed datasets about the human body.
L’Hôpital’s Rule
L’Hôpital’s Rule is a technique for evaluating limits of functions involving quotients. It can be used when direct substitution yields an indeterminate form such as $[0/0]$ or…
[PREVIEW] IE
This got more ambitious than it was meant to be, once again, and now has to be split up so I can even get part of it out before I write the rest. So I guess I’ll just post the beginning now.…
Lanterns in the Void: Science and Discovery
One of the fascinating things about new technologies or scientific discoveries is how they expose the cracks in our understanding of the world. New distinctions present themselves as evidence emerges…
What the SpliceAI2 paper shows about predicting splice-altering variants
In its developers' comparisons, SpliceAI2 scored above SpliceAI, Pangolin and AlphaGenome on every benchmark printed, including cryptic splicing in Genomics England blood RNA-seq. Every value is…
comet hunting
tl;dr So yeah. I found a comet! The weekend before last I ran across the sungrazer project – a neat little NASA-funded citizen science project run by the Naval Research Laboratory, soliciting the…
T>T: Do Four-Body Perimetric Coordinates Exist?
Try the code yourself! Click the following button to launch an ipython notebook on Google Colab which implements every check in this post: All of the code lives in FourBodyPerimetricCode/:…
Reflections of the 2026 Nobel Prizes
Last week I enjoyed following the Nobel Prize announcements in Physiology or Medicine, Physics, and Chemistry. Reading the popular accounts behind the science is enjoyable, as they are well-written…
Disjointness between Sets (7)
To finish proving Lemma A.2 of Paper S6, we are to substitute (6.5) into (5.1) with (6.6) and (6.7). Links: index page, 10/5/26 (last post), 9/28/26, 9/21/26 Links for mobile devices
Stability Regions for Varah's Formulas
1. Consistency 2. Parasitic roots 3. Stability region 4. Comparison James Varah created six linear multistep methods with zero roots at infinity, i.e., $A_\infty^0[\alpha]$-stable methods. These…