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2,919 papers
A companion manuscript reported a correspondence between light-nuclear structure and closure conditions on regular triangular polytopes, stating the results without disclosing the derivation. This manuscript supplies the method. We give the operation converting a subdivided triad into a tetrahedron, and show it is edge...
【概要 / Abstract (English & Japanese)】 Hyper-scale artificial intelligence (AI) compute infrastructure and advanced semiconductor manufacturing (2nm, A16 nodes and beyond) face severe physical bottlenecks: the saturation of commercial power grids and the acute fragility of globally centralized supply chains situated...
We present a discrete theory of gravity whose microscopic primitive is a conserved ledger whose dynamical step is a single one-coordinate, one-bit posting, and we prove exactly where such a theory must import geometry and how much of general relativity it recovers once it does. Three unconditional theorems carry the ne...
Grow balls of squared radius t about the points of D_9^+ = D_9 ∪ ((1/2)^9 + D_9), with contact distance √2, and follow the uncovered part of the torus R^9/D_9 as t falls from the squared covering radius 17/16 to 0. Its persistent homology has 37 critical levels and 55 classes of bars. It is the same over the rationals...
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This record provides digital elevation models (DEMs) from post-event optical stereo satellite images following the 2026-08-26 ice-rock avalanche on the north flank of Langtang Lirung, Rasuwa District, Nepal. The DEMs were produced from Vantor WorldView-2, WorldView-3 and WorldView Legion 2/3 stereo images acquired 2026...
Isomorphic Collapse of the Primorial Modulus: Bypassing Arithmetic in Arbitrary-Precision Cryptanalysis: The 10-GHz Topological Routing Engine for Overcoming the Von Neumann Bottleneck in Large-Scale Integer Analysis Abstract Modern computational mathematics remains bounded by a fundamental material compromise: as the...
A resting cortical spectrum carries a narrow peak near 10 Hz, a weaker and equally narrow peak near 20 Hz, and a broad 1/f background running beneath and above them. Mechanistic accounts locate each rhythm in a relaxation time, so a second band requires a second circuit, the ratio of the two amplitudes is predicted by...
Grow balls of squared radius t about the points of D_9^+ = D_9 ∪ ((1/2)^9 + D_9), with contact distance √2, and follow the uncovered part of the torus R^9/D_9 as t falls from the squared covering radius 17/16 to 0. Its persistent homology has 37 critical levels and 55 classes of bars. It is the same over the rationals...
The 10-GHz Topological Routing Engine: Overcoming the Von Neumann Bottleneck in Large-Scale Integer Analysis Abstract Modern computational mathematics remains bounded by a fundamental material compromise: as the bit-width of an integer operation scales, the clock frequency of the underlying physical hardware decays exp...
Code and analysis outputs supporting the manuscript. Every quantity reported in the paper is drawn from the JSON files in analysis/, each produced by a script in scripts/. The study uses three kinds of data: the complete on-chain USDT histories of the 490 addresses named in Israeli counter-terrorism seizure orders and...
Modern autonomous agents predominantly manage state and memory through static vector embeddings and flat nearest-neighbor (k-NN) retrieval mechanisms. While effective for isolated semantic lookups, this mechanical paradigm suffers from severe cognitive pathologies in long-horizon reasoning tasks: lack of temporal recen...
Professor Paris Smaragdis develops computers with superhuman hearing for applications like speech recognition, music understanding, and environmental monitoring.
Education Innovation
For decades, a fundamental question about the difficulty of computing in high-dimensional spaces has resisted proof. New research resolves this question, removing a major theoretical obstacle to understanding the efficiency of randomized algorithms used across science and computing. The Kannan–Lovász–Simonovits (KLS) conjecture was proposed in 1995. It asks whether, for a broad class of high-dimensional […] The post Solving a 31-year-old grand challenge in mathematics – the KLS conjecture appear…
A new computational approach reveals how cells communicate to assemble into tissues. This could accelerate stem cell engineering, improve disease models, and inform therapies.
Zero-knowledge proofs can verify computing results without rerunning workloads or exposing sensitive data. Magnetar helps bring them into the mainstream with support for standard programming languages, major speed gains, and quantum-resistant security. The post Proof-based general-purpose computing with Magnetar appeared first on Microsoft Research.
By rethinking how large cloud computing systems operate, Associate Professor Christina Delimitrou seeks to make data centers more energy efficient.
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