Research works
The research papers we track — the newest first. Works with a plain-language summary link to it.
34795 work(s)
- AI & ComputingOpen access
FINDING: Spectral gap optimality on typical hyperbolic surfaces; Weyl's law for Laplacian eigenvalues; modular forms linked to critical L-values and interpolated sequences. MATH: - Weyl's asymptotic law: \( N(\lambda) \sim \frac{\mathrm{vol}(M)}{4\pi} \lambda \) for surfaces (lea...
- Physics & SpaceOpen access
Non-Abelian Anyons and Majorana Modes for Topological Quantum Computing — E8 Intelligence Research
FINDING: Topological quantum computing uses anyons with non-Abelian braiding statistics for fault-tolerant qubits, realized in Majorana zero modes in nanowire systems. | MATH: Braid group \( B_n \) generators \( \sigma_i \) satisfy \( \sigma_i \sigma_{i+1} \sigma_i = \sigma_{i+1}...
- Physics & SpaceOpen access
Phi-Resonant Topological Memory Loop — E8 Intelligence Research
By synchronizing the phi‑damped 132 Hz harmonic shells with a secondary 132 Hz×φ^n modulation, the 8 concentric shells form a self‑referential feedback loop that maps each root vector to a unique topological invariant, enabling deterministic read‑out of binary states without deco...
- Society & EconomicsOpen access
This preregistration specifies Study 1 of the Amaya Consciousness Research Program: an observational EEG study testing whether a preregistered dynamical variable can discriminate a specified Seen-versus-Unseen report boundary under physically matched visual-masking conditions. Th...
- Society & EconomicsOpen access
A case report about a female patient (elderly patient of age 69 years) has been presented here, who was suffering from various ageing related ailments, other complaints, and associated symptoms including: Pain in lower back radiating to the left leg, pain in bilateral feet with s...
- Society & EconomicsOpen access
EuroMillions Breakthrough Mining — 2720 Sources, 22789 Leads Extracted — E8 Intelligence Research
Mined 2720 lottery+quantum breakthroughs. Extracted 22789 leads across 13 categories. 20565 high-value leads found. Categories: {"CORRIDOR": 1928, "FORMULA": 1766, "GEOMETRIC": 848, "FORWARD_ATTEMPT": 2044, "QUANTUM": 2255, "TIMING": 252, "CELESTIAL": 1855, "GEMATRIA": 1951, "CON...
- 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...