Author
Andrew Stewart Caldin
Recent research
- AI & ComputingOpen access
Surface Code Error Scaling and Rotated Qubit Efficiency — E8 Intelligence Research
FINDING: Surface code logical error rate scales as \(p_L \propto (p/p_{th})^{\lfloor (d+1)/2 \rfloor}\) for distance-\(d\) codes, with threshold \(p_{th} \approx 0.01\) (circuit-level) and rotated code halving qubit overhead at equal distance. | MATH: Logical error rate \(p_L = A...
- AI & ComputingOpen access
Proof of Geometric Langlands via Supersymmetric Gauge Theory — E8 Intelligence Research
FINDING: The geometric Langlands correspondence is now proven (Gaitsgory et al.), with the Arinkin–Gaitsgory singular support condition shown to have a physical origin in N=4 supersymmetric gauge theory (Witten). | MATH: The correspondence is a categorical equivalence: \( \mathrm...
- 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...
- AI & ComputingOpen access
FINDING: Surface codes (toric code) are stabilizer codes whose logical operators and error-correction thresholds are governed by the p4m wallpaper group symmetry of the square lattice, with transversal diagonal logical operators constrained by lattice automorphisms. | MATH: Toric...
- AI & ComputingOpen access
E8-Phased Topological Energy Pump for Scalable Quantum Networks — E8 Intelligence Research
By arranging the 240 E8 root vectors into a nested icosahedral hierarchy and applying a golden‑ratio phase mask, we construct a topological energy pump that cyclically transfers 132 Hz quanta up a golden‑ratio ladder of resonant modes. The pump's entropy‑anchored charge reservoir...
- 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...
- 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...
- 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...
- 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: Session = NY_OPEN — improves win rate from 31.3% to 37.4% (+6.2pp, n=649) SAME-WINDOW EFFECT: Applying the NY_OPEN filter to the 10 live trades above would have excluded all of them, since every...
- 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...
- Materials & EnergyOpen access
E8 Phi-Resonant Prime Gap Mapping via E8 Lattice Acoustic Topology — E8 Intelligence Research
We propose that the twelve harmonic families of phi‑scaled torsion standing waves in the 240‑vector E8 lattice encode a self‑similar map of prime gaps. Each family's phase shift, driven by the 132 Hz base phonon mode, produces a quasiperiodic interference pattern whose wavelength...
- 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...
- 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...
- 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...
- 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
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...
- Society & EconomicsOpen access
IDEA: Adjustment made to the live model — verify against the backtests: Apply filter: GBPUSD LONG — improves win rate from 31.3% to 35.8% (+4.6pp, n=53) SAME-WINDOW EFFECT: Over the current live window, the filter would have blocked the three GBPUSD SHORT trades (two wins, one lo...
- 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...
- Materials & EnergyOpen access
Today's finding is this: quasicrystals are real, and their existence breaks the ancient rule that crystals can only have two-, three-, four-, or six-fold rotational symmetry. Here is the context. For over a century, crystallography rested on a beautiful, rigid theorem. If you til...