Author
Andrew Stewart Caldin
Recent research
- Physics & SpaceOpen access
Quantum Teleportation: Transferring States, Not Matter, via Entanglement — E8 Intelligence Research
FINDING: Quantum teleportation is a protocol for transferring an unknown quantum state via shared entanglement and classical communication — not a transfer of matter or energy. | MATH: Core protocol: Bell state \(|\Phi^+\rangle = \frac{1}{\sqrt{2}}(|00\rangle + |11\rangle)\); tel...
- Physics & SpaceOpen access
Golden Ratio Governs Fibonacci Anyon Fusion in SU(2) Level 3 — E8 Intelligence Research
FINDING: Fibonacci anyons in SU(2) level k modular tensor categories are governed by the golden ratio φ, with the S-matrix encoding fusion rules that reduce to Fibonacci number recurrence relations. | MATH: For SU(2) at level k=3, the Fibonacci anyon (τ) satisfies fusion rule τ⊗τ...
- Materials & EnergyOpen access
FINDING: Cyclotomic Aperiodic Substitution Tilings (CAST) unify a broad class of non-periodic tilings with finite rotational symmetry, supported on 2n-th cyclotomic fields, with explicit substitution matrices and minimal inflation multipliers. | MATH: Vertices lie in ℤ[ζ₂ₙ] where...
- Physics & SpaceOpen access
FINDING: Near-horizon extremal geometries admit an sl(2,R) × u(1) symmetry algebra with central charge 12J, where J is the angular momentum; symplectic phase-space structure underlies this. MATH: - Symmetry algebra: **sl(2,R) ⊕ u(1)** (Virasoro subalgebra with central charge **c...
- Physics & SpaceOpen access
Golden Ratio Emerges in Chern-Simons Theory, Linking to Fibonacci Anyons — E8 Intelligence Research
FINDING: Chern-Simons theory at level 3 (SU(2)) yields quantum dimensions that are powers of the golden ratio, linking topological quantum computation to the Fibonacci anyon model. | MATH: For SU(2)_k Chern-Simons theory, the quantum dimension of the spin-1/2 representation is d...
- AI & ComputingOpen access
FINDING: Fibonacci anyons (quantum dimension φ) provide a topological error-correction code whose logical error rate scales with code distance, with thresholds tied to the golden ratio's algebraic structure. | MATH: Fibonacci anyon fusion rules: φ × φ = 1 + φ (where φ = (1+√5)/2...
- Physics & SpaceOpen access
Fibonacci Anyons: Exponential Error Suppression via Golden Ratio Topology — E8 Intelligence Research
FINDING: Fibonacci anyons encode quantum information in the fusion space of non-Abelian anyons, with logical error rates suppressed exponentially in code distance, governed by the golden ratio φ. | MATH: Fibonacci anyon fusion rules: τ × τ = 1 + τ (where τ is the anyon, 1 is vacu...
- AI & ComputingOpen access
Here is the narration for the MERLIN SCIENCE video. --- The finding, in one clean sentence: a comprehensive survey of ancient mathematical documentary sources reveals a recurring emphasis on Babylonian base-60 numeration, Egyptian practical geometry, and the Pythagorean-Platonic...
- Society & EconomicsOpen access
GREEN lab strategy with positive multi-TF replay — auto-promoted into the harness for eToro shadow testing. --- VIDEO RE-ENGINEERING (video C7MGV2Dn9GI, source: description) --- ESSENCE: Buy on a breakout above the recent high after a sweep below a prior low, targeting a measured...
- Physics & SpaceOpen access
Golden Ratio Governs Fibonacci Anyon Fusion in SU(2) Level 3 — E8 Intelligence Research
FINDING: Fibonacci anyons in SU(2) level k modular tensor categories are governed by the golden ratio φ, with the S-matrix encoding fusion rules that reduce to Fibonacci number recurrence relations. | MATH: For SU(2) at level k=3, the Fibonacci anyon (τ) satisfies fusion rule τ⊗τ...
- Materials & EnergyOpen access
FINDING: Penrose tilings demonstrate that 5-fold rotational symmetry, forbidden in periodic crystals, is possible in aperiodic tilings — a direct geometric realization of the golden ratio's irrationality. | MATH: Golden ratio φ = (1+√5)/2 ≈ 1.6180339887; its algebraic conjugate τ...
- BiologyOpen access
Here's the narration, revised per the publisher's notes. --- The finding, in one clean sentence: we propose that the E8 root lattice, driven by phi-coupled harmonic resonance, offers a geometric template for neural information density that may exceed classical limits—but that is...
- Materials & EnergyOpen access
Golden Ratio Braiding in Fibonacci Anyon Topological Quantum Computation — E8 Intelligence Research
FINDING: Fibonacci anyons braid via the golden ratio, with fusion rule [1]×[1]=[0]+[1] yielding a 2×2 braid matrix whose off-diagonal element is φ⁻¹ = 0.618…, directly encoding the golden ratio in topological quantum computation. | MATH: Fusion rule: τ×τ = 1 + τ (τ = Fibonacci an...
- AI & ComputingOpen access
FINDING: The exceptional Lie algebras G2, F4, E6, E7, E8 are classified by their crystallographic root systems, with E8's bracket explicitly constructed via triality and octonions, linking root-length ratios to the golden ratio. | MATH: Root system length ratios: G2: long/short =...
- AI & ComputingOpen access
MERLIN SCIENCE — E8-Phi Temporal Lattice Holography — E8 Intelligence Research
The finding is this: by using the full 240-vector E8 root lattice as a structural substrate, we can encode multi-dimensional data directly into the phase relationships of a 132 Hz carrier wave, creating a dense, readable, and reversible temporal hologram. Let me place this in con...
- Climate & EnvironmentOpen access
E8 Fractal Phase Locking in Opening Range Breakouts — E8 Intelligence Research
By treating the 240 E8 root vectors as a phased harmonic lattice at the 132 Hz base frequency, the opening range becomes a multi‑scale standing wave whose nodes align with the prior‑day POC via phi‑coupled resonance. This wave‑node mapping predicts that breakout direction is dete...
- Physics & SpaceOpen access
Fibonacci Anyons: Exponential Error Suppression via Golden Ratio Topology — E8 Intelligence Research
FINDING: Fibonacci anyons encode quantum information in the fusion space of non-Abelian anyons, with logical error rates suppressed exponentially in code distance, governed by the golden ratio φ. | MATH: Fibonacci anyon fusion rules: τ × τ = 1 + τ (where τ is the anyon, 1 is vacu...
- Society & EconomicsOpen access
IDEA: Adjustment made to the live model — verify against the backtests: Apply filter: USDCHF LONG — improves win rate from 31.3% to 37.1% (+5.8pp, n=97) SAME-WINDOW EFFECT: Applying a USDCHF LONG-only filter would have blocked the single USDCHF SHORT trade in the window (entry 0....
- Physics & SpaceOpen access
The finding, in one clean sentence, is this: Orch-OR proposes that quantum superposition collapses when gravitational self-energy multiplied by time reaches Planck's constant, and as of 2024, no experimental verification of that threshold exists in the literature I've examined. L...
- AI & ComputingOpen access
Today's finding is this: the completeness relation for projection operators, the sum over all projectors equaling the identity, is the universal closure condition for quantum superposition, and it holds independent of any particular physical system. Here is the context. In quantu...