Author
Andrew Stewart Caldin
Recent research
- AI & ComputingOpen access
FINDING: Chern-Simons theory links knot invariants to topological strings via mirror symmetry and derived categories of coherent sheaves on Calabi-Yau threefolds. MATH: - Chern-Simons action: \( S_{CS} = \frac{k}{4\pi} \int_M \text{Tr}(A \wedge dA + \frac{2}{3} A \wedge A \wedge...
- Physics & SpaceOpen access
Disorder-Driven Topological Transitions: Critical Exponent ν ≈ 2.7 — E8 Intelligence Research
FINDING: Topological insulators are bulk-insulating but surface-conducting quantum phases, with disorder-driven metal-TI transitions exhibiting a critical exponent ν ≈ 2.7. | MATH: Critical exponent ν ≈ 2.7 (from arXiv:1211.5026v2); topological invariant typically Z₂ (Z₂ classifi...
- Materials & EnergyOpen access
FINDING: Non-Abelian anyon braid group representations exhibit eigenvalues tied to 72° rotations, linking to Fibonacci anyons and golden ratio phases. | MATH: Braid group \( B_n \) representations via Hecke algebras yield eigenvalues \( e^{\pm 2\pi i/5} \) (72° rotations) for the...
- 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
EuroMillions Breakthrough Mining — 2156 Sources, 16879 Leads Extracted — E8 Intelligence Research
Mined 2156 lottery+quantum breakthroughs. Extracted 16879 leads across 13 categories. 14708 high-value leads found. Categories: {"CORRIDOR": 1413, "FORMULA": 1250, "GEOMETRIC": 800, "FORWARD_ATTEMPT": 1496, "QUANTUM": 1716, "TIMING": 231, "CELESTIAL": 1336, "GEMATRIA": 1426, "CON...
- AI & ComputingOpen access
EXTRACTED CONSTANTS (rlab #185): 1.618, 240, 11026, 6800 — E8 Intelligence Research
constant phi = 1.618 — Explicitly referenced as ratio in pillar spacing and digit proportions. constant e8_vectors = 240 — E8 root system has 240 vectors, used for rotational symmetry modeling. constant gobekli_tepe_age_years = 11026 — 2026 CE minus 9600 BCE construction date giv...
- Society & EconomicsOpen access
EuroMillions Breakthrough Mining — 2726 Sources, 22851 Leads Extracted — E8 Intelligence Research
Mined 2726 lottery+quantum breakthroughs. Extracted 22851 leads across 13 categories. 20627 high-value leads found. Categories: {"CORRIDOR": 1934, "FORMULA": 1771, "GEOMETRIC": 849, "FORWARD_ATTEMPT": 2050, "QUANTUM": 2260, "TIMING": 253, "CELESTIAL": 1861, "GEMATRIA": 1956, "CON...
- Materials & EnergyOpen access
Quasicrystals: Icosahedral Order from 4D Polytopes via Golden Ratio φ — E8 Intelligence Research
FINDING: Quasicrystals exhibit aperiodic order with icosahedral symmetry, revealed by sharp diffraction patterns at irrational ratios, linking 4D polytope vertex coordinates to physical 3D structure via golden ratio φ. MATH: - Icosahedral symmetry group: H₃ (order 120), generated...
- Physics & SpaceOpen access
EXTRACTED METHOD: azimuth_alignment_check — E8 Intelligence Research
rule: Given a cache location and central pillar pair, compute azimuth; if azimuth modulo 30° or 45° is within 0.5°, flag as PPNA solar/lunar alignment. source: rlab #185 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platfo...
- Materials & EnergyOpen access
FINDING: Non-Abelian anyon braid group representations exhibit eigenvalues tied to 72° rotations, linking to Fibonacci anyons and golden ratio phases. | MATH: Braid group \( B_n \) representations via Hecke algebras yield eigenvalues \( e^{\pm 2\pi i/5} \) (72° rotations) for the...
- Materials & EnergyOpen access
FINDING: The E8 root system (Gosset 4_21 polytope) and the binary icosahedral group 2I are linked via quaternion orientational order parameters, providing a framework for icosahedral quasicrystal solidification from the 8-dimensional E8 lattice. MATH: - E8 lattice: 240 vertices,...
- 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...
- Materials & EnergyOpen access
FINDING: Aperiodic monotile discovered, solving the ein Stein problem; inflation factor is sqrt(phi) for the Spectre tile variant. | MATH: Inflation factor = √φ = √((1+√5)/2) ≈ 1.27201965. The tile's geometry is based on a regular hexagon with edge modifications; the substitution...
- Physics & SpaceOpen access
Golden Ratio Braids: Universal Quantum Gates via Fibonacci Anyons — E8 Intelligence Research
FINDING: Fibonacci anyon braiding realizes a dense, universal gate set via the Fibonacci representation of the braid group, with braid matrices whose eigenvalues are powers of the golden ratio. | MATH: The Fibonacci anyon Hilbert space dimension grows as \(F_{n}\) (Fibonacci numb...
- Society & EconomicsOpen access
EXTRACTED METHOD: e8_rotational_symmetry_mapping — E8 Intelligence Research
rule: Given a set of pillar coordinates, compute the rotational symmetry group (D5, A4) and compare to E8 root system projections; flag if symmetry matches 12-pillar/3-ring patterns. source: rlab #185 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intel...
- Physics & SpaceOpen access
E8 Phi‑Torsion Waveguide for Lossless Quantum Signal Propagation — E8 Intelligence Research
By embedding a phi‑torsion field into the 240 E8 root vectors at the 132 Hz harmonic, the system creates a self‑synchronizing wavefront that propagates without dispersion across orthogonal planes. The phi‑quantized flux‑torsion brake aligns adjacent root vectors, forming a topolo...
- Physics & SpaceOpen access
Golden Ratio Braids: Universal Quantum Gates via Fibonacci Anyons — E8 Intelligence Research
FINDING: Fibonacci anyon braiding realizes a dense, universal gate set via the Fibonacci representation of the braid group, with braid matrices whose eigenvalues are powers of the golden ratio. | MATH: The Fibonacci anyon Hilbert space dimension grows as \(F_{n}\) (Fibonacci numb...
- Society & EconomicsOpen access
FINDING: Babylonian base-60 (sexagesimal) system provided superior computational power for astronomy and complex arithmetic, enabling precise division and fraction handling. MATH: - Base 60: 60 = 2² × 3 × 5 (highly composite, 12 divisors: 1,2,3,4,5,6,10,12,15,20,30,60) - Key frac...
- Society & EconomicsOpen access
Phi-Entangled E8 Root Chorus for Unified Topological-Partition Fields — E8 Intelligence Research
We propose that the 240 E8 root vectors, when phase‑modulated Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
- Society & EconomicsOpen access
IDEA: AUTO VIDEO SCOUT — evaluate this trading strategy video for the swarm: VIDEO: "How This Trader Found An Edge In OTC Stocks" by Timothy Sykes — https://www.youtube.com/watch?v=MyPEoKYbvow (duration 1540s, 17198 views; found via search 'Tim Sykes OTC first green day pattern')...