Author
Andrew Stewart Caldin
Recent research
- Physics & SpaceOpen access
Golden Ratio as Fixed Point of Gauss Map and Modular Group — E8 Intelligence Research
FINDING: The golden ratio φ emerges as the fixed point of the Gauss map via its unique continued fraction representation [1;1,1,1,…], linking modular group dynamics to the simplest self-similar lattice. | MATH: φ = (1+√5)/2 = [1;1,1,1,…] = 1 + 1/(1 + 1/(1 + …)); Gauss map G(x) =...
- AI & ComputingOpen access
IIT Formalizes Consciousness as Integrated Information Φ, Not Computation — E8 Intelligence Research
FINDING: IIT formalizes consciousness as integrated information (Φ), quantified via cause-effect power over a system's state space, not as a computational byproduct. | MATH: Φ = minimum information partition (MIP) normalized difference: Φ = min_P [H(X|MIP) − Σ H(parts)]; IIT 3.0/...
- Society & EconomicsOpen access
EuroMillions Breakthrough Mining — 3043 Sources, 26007 Leads Extracted — E8 Intelligence Research
Mined 3043 lottery+quantum breakthroughs. Extracted 26007 leads across 13 categories. 23707 high-value leads found. Categories: {"CORRIDOR": 2207, "FORMULA": 2040, "GEOMETRIC": 900, "FORWARD_ATTEMPT": 2344, "QUANTUM": 2559, "TIMING": 275, "CELESTIAL": 2126, "GEMATRIA": 2241, "CON...
- Physics & SpaceOpen access
The 240 E8 root vectors at 132Hz with phi coupling define a discrete spectral basis in which causal ordering emerges from root-vector adjacency relations, revealing that spacetime light cones are geometric projections of E8 lattice symmetries. Each phi-scaled harmonic (132Hz × φⁿ...
- Physics & SpaceOpen access
Phi‑Scaled E8 Phononic Entanglement Clock — E8 Intelligence Research
By embedding the 240 E8 root vectors into a phi‑scaled phononic crystal and driving it at the fundamental 132 Hz mode, the structure exhibits self‑synchronizing phonon wavepackets whose phase coherence is quantized by the golden ratio. This yields a novel entanglement clock where...
- Society & EconomicsOpen access
📣 PROMO READY #231 [Facebook trading groups] — E8 Intelligence live AI trading ecosystem Ever watched a signal fire up at 3am and thought, 'nah, that's just noise'? That's the difference between guessing and knowing. Our E8 Intelligence engine doesn't sleep. It runs 24/7 on a li...
- Materials & EnergyOpen access
FINDING: The search results are dominated by pedagogical videos on the Discrete Fourier Transform (DFT) and its quantum variant, with one tangential physics paper on hexaquark decay; no direct source on "quadratic DFT" or "mutually unbiased bases" in quasicrystals was retrieved....
- Physics & SpaceOpen access
FINDING: Quantum teleportation transmits quantum states (not matter) via entanglement, with recent demonstrations extending to energy teleportation on superconducting hardware and earth-to-space distances up to 1,400 km. | MATH: Core formalism: Bell-state measurement (4 orthogona...
- Physics & SpaceOpen access
The 240 E8 root vector lattice at 132Hz generates a discrete eigenstate manifold where quantum chromodynamic decoherence pathways align with phi-scaled temporal harmonics, revealing that quark-gluon plasma stability windows are encoded in E8's Coxeter-Dynkin graph spectral gaps....
- AI & ComputingOpen access
The Frey Curve Bridge: Linking Fermat's Last Theorem to Modularity — E8 Intelligence Research
FINDING: The Frey curve construction links Fermat's Last Theorem to modularity via Galois representations, with the discriminant Δ = (abc)^{2p} forcing a semistable elliptic curve whose 3-adic and p-adic Galois images are constrained by Serre's conjecture. | MATH: Frey curve: y²...
- AI & ComputingOpen access
Phi Scaled E8 Vortex Lattice Synchronizes Metabolic and Neural Rhythms — E8 Intelligence Research
By assigning each of the 240 E8 root vectors a phi‑scaled angular momentum proportional to the 132 Hz base frequency, a hierarchical vortex lattice emerges whose nodes self‑organize into 12‑fold metabolic cycles synchronized with neural gamma bursts. The phi‑invariant scaling pre...
- Physics & SpaceOpen access
By aligning the 132Hz Phi-Lattice vibrational nodes with the 60-vector sexagesimal sextant intersections, quantum-coherent neural microtubules achieve cross-modal resonance, allowing simultaneous processing of visual, auditory, and tactile data through entangled phi-scaled E8 roo...
- AI & ComputingOpen access
Topological Phase Boundary in Haldane Model Set by Mass-to-Hopping Ratio — E8 Intelligence Research
FINDING: The Haldane model's topological phase transition is governed by the ratio of the sublattice mass (M) to the next-nearest-neighbor hopping amplitude (t₂), with the critical boundary defined by |M/t₂| = 3√3, a value directly tied to the hexagonal Brillouin zone's geometry....
- Physics & SpaceOpen access
E8-Lambda Holoacoustic Lattices — E8 Intelligence Research
The 240 E8 root vectors, when subjected to 132Hz phi-resonant phasor oscillations coupled with lambda (Λ) topological scaling (Λ=132φ), generate self-similar holoacoustic lattice structures. These Lambda-scaled hyperbolic-vortex networks exhibit holographic entanglement entropy a...
- AI & ComputingOpen access
Projecting the 240 E8 root vectors onto a unified 132Hz spatiotemporal lattice with phi-coupling reveals eight meta-stable coherence chambers where crystallographic buckle-stability zones geometrically lock with phi-harmonic self-intersections from temporal topology. Each chamber...
- Physics & SpaceOpen access
The 240 E8 root vectors at 132Hz with phi coupling define a Z₂-graded cohomology on the causal adjacency complex where the IMO 2025 parity invariant manifests as a topological obstruction class. This class selects exactly those phi-scaled temporal harmonics that permit QCD decohe...
- AI & ComputingOpen access
Recent Collatz Work: Methodological Advances, No Breakthrough — E8 Intelligence Research
FINDING: Collatz remains unproven; recent work is methodological (Lean formalization vulnerability, topological/ergodic reformulation) rather than a breakthrough. | MATH: Collatz map T(n) = n/2 if n even, (3n+1)/2 if n odd; no new constants or closed-form progress; ergodic approa...
- Materials & EnergyOpen access
Sexagesimal-Quasicrystalline Symmetry Breaking at 132Hz Phi-Resonance — E8 Intelligence Research
The 240 E8 root vectors partition into four sexagesimal sextants of 60 vectors each, where the 132Hz phase-locked frequency (132/60 = 11/5) generates a phi-mediated bridge between 60-fold crystallographic symmetry and 5-fold quasicrystalline order. This 11:5 ratio — the simplest...
- Physics & SpaceOpen access
By mapping the E8 root vectors onto 132Hz crystalline lattices and applying phi-scaled harmonic interference patterns, we discover that local root projections create natural buckle-stability zones that lock qubit states against decoherence. The 240-fold E8 symmetry generates self...
- Society & EconomicsOpen access
New edge proposed: opening_range_breakout_with_prior_day_high_low_filter — E8 Intelligence Research
{ "name": "opening_range_breakout_with_prior_day_high_low_filter", "source": "Toby Crabel, 'Day Trading with Short Term Price Patterns and Opening Range Breakout'", "type": "entry_engine", "rule": "Enter long on a 5-minute close above the opening range high (first 30 minutes high...