Research works
The research papers we track — the newest first. Works with a plain-language summary link to it.
76240 work(s)
- AI & ComputingOpen access
This computational report presents three novel findings regarding the local spacing and invariant structure of the nontrivial zeros of the Riemann zeta function, derived from high-precision evaluations at heights $\gamma$ ranging from $1.2 \times 10^4$ to $10^8$. Working within t...
- AI & ComputingOpen access
FINDING: The E8 root system's 240 vertices and 6720 edges encode a modular form theta series whose Fourier coefficients count lattice points, linked to the Dedekind eta function's modular transformations. MATH: - E8 lattice theta series: \(\Theta_{E8}(\tau) = 1 + 240 \sum_{n=1}^\...
- AI & ComputingOpen access
Plimpton 322: The Old Babylonian Ratio-Based Trigonometric Tablet — E8 Intelligence Research
FINDING: Plimpton 322 is a 3800-year-old Old Babylonian cuneiform tablet containing 15 rows of Pythagorean triples, likely representing the earliest known trigonometric table based on ratios rather than angles. MATH: Each row corresponds to a normalized right triangle with short...
- AI & ComputingOpen access
METALLIC TRACES: THE GLOBAL SIGNATURE OF A TECHNOLOGY THAT NEVER WAS
If there was once a single coordinate system on the planet — was there, before us, a single engineering school? We began with the sky. Mathematics pointed to Kailash. Fifty-six of the greatest monuments fell onto rays and rings issuing from a single point. Not all of them, not pe...
- AI & ComputingOpen access
This paper studies the fixed-column sequences in Romik’s matrix that appear in Conjecture 47 of Krattenthaler and Müller. It proves Conjecture 47(2) and establishes a stronger conclusion: every fixed-column sequence is eventually zero modulo every prescribed integer. Equivalently...
- Materials & EnergyOpen access
FINDING: Quasicrystals are classified by intersecting lattices and spheres, linking aperiodic order to algebraic integers and number theory. MATH: Algebraic integers are roots of monic polynomials with integer coefficients; quasicrystals arise from projections of higher-dimension...
- AI & ComputingOpen access
Trust What You Prove: Proof Verification in the mrs Ecosystem
Automated theorem provers competing in CASC produce proof objects, but those objects are often checkedonly for syntax and graph structure. The standard approach, delegating proof checking to external toolslike GDV or per-step ATP calls, requires external ATP binaries, leaves some...
- AI & ComputingOpen access
FINDING: Quantum error correction (QEC) is advancing from theoretical stabilizer codes to practical fault-tolerance thresholds, with continuous-time formulations emerging as a key frontier. MATH: - **Stabilizer formalism**: Pauli group \( \mathcal{P}_n \) on \( n \) qubits; code...
- Society & EconomicsOpen access
📣 PROMO READY #199 [YouTube community/comments] — the broadband breakthrough free trial If you've ever watched a chart lag right at the exact moment you needed it most, you know the pain. We found something that fixes that — not by upgrading your hardware, but by re-routing how...
- Society & EconomicsOpen access
SCIENCE AND RELIGION: A UNIFIED VISION OF DR. S RADAKRISHNAN FOR THE FRAGMENTED WORLD
The present article is an analytical study of the speech Dr S Radhakrishsnan delivered at Madras University convocation ceremony. With the great concern for the fragmented world, he advised the young generation to be spiritual with scientific temper. Science and religion are inte...
- AI & ComputingOpen access
FINDING: The Sulba Sutras contain the earliest known Indian geometric constructions for altars, including explicit Pythagorean triples and a remarkably accurate approximation of √2, predating Greek formulations. | MATH: Baudhayana's Sulba Sutra (c. 800–600 BCE) states: *"The diag...
- Physics & SpaceOpen access
The Golden Ratio's Link to E8 and the 120-Cell: An Unverified Claim — E8 Intelligence Research
FINDING: The search results are a mix of popular expositions (Numberphile, PBS) and one obscure combinatorics paper; no direct source links φ to E8 vertex coordinates, the icosian ring, or the 120-cell symmetry group of order 14400. The core mathematical link is implied but not e...
- Health & MedicineOpen access
Unlock the Potential of Pichia in Coffee: Knowledge Transfer From Fermented Beverages
ABSTRACT Considerable research has focused on non‐ Saccharomyces yeasts to explore their biochemical potential and genetic diversity beyond the capabilities of the conventional starter culture, Saccharomyces cerevisiae . Among these, species of the genus Pichia have emerged as pr...
- AI & ComputingOpen access
A Primer on Frame-QL introduces Frame-QL as a query language for declaring governed analytical results rather than prescribing relational production procedures. Using examples such as average revenue at different source anchors, it explains why the requested result can be the que...
- Society & EconomicsOpen access
Microfinance institutions (MFIs) are major providers of financial inclusion tools in developing countries, serving small and medium-scale enterprises (SMEs) and low-income individuals and households. However, there are concerns about MFIs shifting from their social outreach goals...
- Materials & EnergyOpen access
FINDING: E8 lattice quaternion order parameter links 8D root system to 3D icosahedral quasicrystal solidification via McKay correspondence. MATH: E8 root system has 240 minimal vectors; quaternion orientational order parameter classifies isotropic liquid → icosahedral quasicrysta...
- AI & ComputingOpen access
Compilation Context as a Security Variable: A Cross-Language Classification Framework
The compilation context of a program — the flags, format settings, feature selections, and diagnostic instrumentation used at build time — is not necessarily represented by the source file itself. Changing these elements, without modifying a single line of source, can change what...
- Materials & EnergyOpen access
The Ein Stein: A Single Tile That Forces Aperiodic Tiling — E8 Intelligence Research
FINDING: Aperiodic monotile ("ein Stein") forces non-repeating tiling of the plane, resolving a 60-year search and linking to quasicrystals' forbidden 5-fold symmetry. | MATH: The monotile (arXiv:2203.12382) is a single, simply-connected polygon whose tiling admits no translation...
- Health & MedicineOpen access
PREPRINT, NOT PEER REVIEWED. Deposited to establish a dated public record of authorship while the manuscript is under journal review. Background and aims. Guideline statements sometimes name a treatment target without an operational definition. The 2026 American College of Cardio...
- Physics & SpaceOpen access
Prediction-Horizon Transport of Adam's Optimal Momentum State
Adam's future behavior depends not only on the model parameters but also on its hidden first-moment state. This work develops a prediction-horizon transport theory for Adam's finite-horizon optimal momentum state under frozen local quadratic dynamics in a prescribed correction su...