Mathematics and physics share an intimate relationship dating back to antiquity, with mathematics serving as an essential tool for physical inquiry and physics inspiring mathematical innovation. Key historical developments—from Aristotle's classifications through Newton's calculus to Einstein's use of Riemannian geometry—demonstrate their deep interdependence, though the fields have gradually become more independent since the nineteenth century.
Epilogue is a platform showcasing open and solved problems across mathematics, physics, and computer science to inspire future problem-solvers. It features celebrated challenges like the Riemann Hypothesis and P versus NP, alongside historically solved problems like Fermat's Last Theorem, aiming to keep people engaged with compelling questions that drive scientific progress.
Puffdoro is a browser-based 3D focus companion built with WebGL and Web Audio that users can squeeze and interact with for tactile stress relief during work. It features customizable characters with physics simulation, breathing exercises, and gentle Pomodoro timer functionality, with core features free and optional paid expansions available.
A research project re-evaluates frontier AI models' physics capabilities by auditing benchmark questions, finding that low leaderboard scores may not reflect true model limitations. The study, based on arXiv:2609.13009, suggests existing physics benchmarks may be broken and that AI performance on physics problems requires deeper analysis beyond raw scores.
Veloren, an open-source multiplayer voxel game, uses an Entity Component System architecture rather than traditional object-oriented design, enabling efficient scaling to 500+ players on a 48-thread server. The developers maintain player-NPC parity by processing both through identical physics, movement control, and skill systems, and employ custom terrain storage solutions called Chonks to optimize voxel data management.
A study re-evaluating frontier language models on physics benchmarks found that reported low scores reflect flawed evaluations rather than model limitations. After expert review corrected errors in reference solutions and problematic questions, GPT-5.6-Sol's performance improved dramatically, suggesting current benchmarks substantially underestimate these models' physics reasoning abilities.
A physicist experienced an existential crisis after encountering a Twitter thread about Sydney, an unstable GPT-4 powered search engine, which convinced them that AI would surpass human intelligence. This realization triggered anxiety about the future of their physics career and their self-worth tied to intellectual ability, eventually leading them to seek therapy and ultimately leave academia for AI alignment work.
Veloren, an open-source multiplayer voxel game, uses an Entity Component System architecture for superior scalability, treating players and NPCs identically through shared physics and control systems, and employs a custom terrain storage approach called Chonks to optimize voxel data management.
The fine-structure constant (α), also called the Sommerfeld constant, is a dimensionless fundamental physical constant that quantifies the strength of electromagnetic interaction between charged particles. Named by Arnold Sommerfeld in 1916, its value is approximately 1/137.036 with high precision, though why it has this particular value remains unexplained. It can be measured through quantum electrodynamics methods including the quantum Hall effect, electron anomalous magnetic moment, and atom interferometry.
Physicist Carlo Rovelli's new book argues that modern physics—relativity and quantum mechanics—reveals we cannot achieve an ultimate, objective understanding of reality independent of observation. Instead, Rovelli proposes that all properties are relational, existing only in connection to other things, fundamentally rejecting the notion that physics can exhaust what can be known about the world.
The square–cube law, first described by Galileo in 1638, is a mathematical principle stating that as an object's size increases, its volume grows faster than its surface area. This has significant real-world applications in engineering and biology, explaining phenomena from heat dissipation in mammals to structural limits in buildings and vehicles.
A roguelike game called Chaos RPG uses real mathematical algorithms instead of dice to determine outcomes, features uncapped stats and procedurally generated spells, and renders everything as particle physics rather than sprites. The game embraces chaos and unpredictability as core design philosophy, with eight classes and no balance constraints.
Brazilian physicist Níckolas de Aguiar Alves demonstrated that Star Trek's "Picard Maneuver"—where a ship accelerates to warp speed then abruptly stops to create multiple visible images and confuse an enemy—would actually work according to real physics. His calculations show the maneuver would produce three visible images rather than two, improving its tactical effectiveness beyond what the show depicted.
A study re-evaluated frontier language models on physics benchmarks with expert auditing, finding that reported low scores reflected flawed evaluations rather than model limitations. After correcting erroneous reference solutions and repairing questions, GPT-5.6-Sol's performance rose dramatically (e.g., from 47.3% to 78.7% on HLE-Physics), suggesting current benchmarks substantially underestimate frontier models' physics reasoning abilities.
Sciquark is a platform for exploring scientific breakthroughs and emerging technologies across physics, space, and related fields.
The inverse-square law describes how physical phenomena like light intensity decrease with the square of distance from a source. The article explains the mathematical foundation of this law by deriving the surface area formula of a sphere through a geometric projection from a cylinder, demonstrating why intensity follows an inverse-square relationship in three-dimensional space.
melonJS is an open-source HTML5 game engine for indie developers offering 2.5D rendering, GPU-accelerated tilemaps, 3D mesh support, and physics, all in ~250 KB of vanilla JavaScript with no dependencies. It features a Canvas2D-inspired API, automatic fallback across WebGPU, WebGL 2, and Canvas, and includes batteries-included tools like audio, particles, and UI components.
A curated collection of analyses and discussions spanning human development, economic policy, artificial intelligence capabilities and limitations, physics, programming, global politics, and personal development. Topics include cognitive peaks across lifespan stages, debt management through growth, AI's current constraints on recursive self-improvement, fundamental physics questions, the evolution of AI-assisted software development, global AI competition, American structural power, book recommendations, AI as a writing tool, deception detection, leadership, and debates on AI progress timelines.
Paul Dirac examines how mathematics and physics are fundamentally interconnected, tracing the evolution from Newtonian mechanistic physics through relativity theory. He argues that while the principle of mathematical simplicity guided classical physics, Einstein's relativity demonstrated that deeper mathematical beauty and elegance—rather than surface simplicity—characterize the universe's fundamental laws.
A MetaPost library designed to automate black and white illustrations for physics textbooks, providing functions for drawing variable-width lines, shaded spheres, tubes, and composite objects.