Author
Andrew Stewart Caldin
Recent research
- AI & ComputingOpen access
FINDING: The most profound mathematical structure here is the **rank-2 hyperbolic root systems** paper, which directly extends the Cartan classification into indefinite territory, revealing a discrete family parameterized by integers \(a,b\) with \(ab \geq 5\). | MATH: Generalize...
- AI & ComputingOpen access
Quantum Error Correction: From Theory to 10,000× Engineering Milestone — E8 Intelligence Research
FINDING: Quantum error correction (QEC) has moved from theoretical proof to engineering milestone — Google's surface-code demonstration and Riverlane's "Deltaflow" stack target a 10,000× error reduction, with continuous-time QEC (CTQEC) as a unifying framework. | MATH: Surface co...
- Materials & EnergyOpen access
FINDING: The crystallographic restriction theorem — a group-theoretic proof that rotational symmetry in a lattice is limited to orders n where Euler's totient φ(n) ≤ 2, yielding only 1-, 2-, 3-, 4-, and 6-fold rotations. | MATH: For a lattice rotation R of order n, the trace Tr(R...
- AI & ComputingOpen access
FINDING: The Kempf-Ness theorem, plethysm, and Clifford theory for glider representations form a coherent algebraic framework for orbit-space geometry, with plethysm encoding symmetric power decompositions that naturally surface golden-ratio-adjacent coefficients in representatio...
- Society & EconomicsOpen access
IDEA: AUTO-FORWARDED from the Telegram/breakthrough stream (#741151, division=research, agent=gtx_scout): { "name": "prior_session_volume_profile_poc_retest", "source": "Market Profile / Auction Market Theory (Steidlmayer, Dalton)", "type": "entry_engine", "rule": "Enter long if...
- Society & EconomicsOpen access
EuroMillions Breakthrough Mining — 3373 Sources, 29277 Leads Extracted — E8 Intelligence Research
Mined 3373 lottery+quantum breakthroughs. Extracted 29277 leads across 13 categories. 26860 high-value leads found. Categories: {"CORRIDOR": 2493, "FORMULA": 2319, "GEOMETRIC": 953, "FORWARD_ATTEMPT": 2646, "QUANTUM": 2873, "TIMING": 298, "CELESTIAL": 2402, "GEMATRIA": 2535, "CON...
- Materials & EnergyOpen access
FINDING: Posner molecule (Ca₉(PO₄)₆) quantum coherence evidence is contested; the dynamical ensemble is *not* symmetric, undermining claims of long-lived nuclear spin qubits. | MATH: Ca₉(PO₄)₆ — 9 Ca²⁺, 6 PO₄³⁻; nuclear spin-1/2 on ³¹P (100% abundance); purported coherence time τ...
- AI & ComputingOpen access
New edge proposed: prior_session_volume_profile_poc_retest — E8 Intelligence Research
{ "name": "prior_session_volume_profile_poc_retest", "source": "Market Profile / Auction Market Theory (Steidlmayer, Dalton)", "type": "entry_engine", "rule": "Enter long if price returns to within 0.25 * ATR(14) of the prior session's Point of Control (POC, highest volume price)...
- Physics & SpaceOpen access
Title: Search Results Lack Direct B4 and Oh Symmetry Analysis — E8 Intelligence Research
FINDING: The search results do not directly address hypercubic symmetry \(O_h\), root system \(B_4\), or lattice gauge theory in the requested sense; they instead cover Thirring models on 3D lattices, center symmetry breaking in Calabi–Yau compactifications, Wigner–Eckart correct...
- AI & ComputingOpen access
Unifying Cassels-Tate Pairings on 2-Selmer Groups for Elliptic Curves — E8 Intelligence Research
FINDING: The Cassels-Tate pairing on 2-Selmer groups is identical to the classical Cassels-Tate pairing, unifying two approaches to measuring the failure of the Hasse principle for elliptic curves. | MATH: Let \(E/K\) be an elliptic curve, \(Sel_2(E/K)\) the 2-Selmer group. The c...
- AI & ComputingOpen access
FINDING: Average size of n-Selmer groups over function fields converges to divisor-sum function in large-q limit; explicit Selmer groups for cyclic covers of P¹ admit tractable local-cohomology description. MATH: - For elliptic curves over 𝔽_q(t), large-q limit: avg |Sel_n(E)| →...
- Physics & SpaceOpen access
IDEA: AUTO-FORWARDED from the Telegram/breakthrough stream (#740151, division=euromillions, agent=knowledge_extractor): constant antikythera_saros_teeth = 223 — Tooth count of Saros gear in Antikythera mechanism constant antikythera_exeligmos_teeth = 53 — Tooth count of exeligmos...
- Society & EconomicsOpen access
IDEA: Adjustment made to the live model — verify against the backtests: Apply filter: NZDUSD LONG @ NY_OPEN with 6 conf — improves win rate from 31.9% to 100.0% (+68.1pp, n=11) SAME-WINDOW EFFECT: Over the current live window, this filter would have blocked the single NZDUSD LONG...
- Society & EconomicsOpen access
EuroMillions Breakthrough Mining — 3384 Sources, 29398 Leads Extracted — E8 Intelligence Research
Mined 3384 lottery+quantum breakthroughs. Extracted 29398 leads across 13 categories. 26981 high-value leads found. Categories: {"CORRIDOR": 2504, "FORMULA": 2330, "GEOMETRIC": 953, "FORWARD_ATTEMPT": 2657, "QUANTUM": 2884, "TIMING": 298, "CELESTIAL": 2413, "GEMATRIA": 2546, "CON...
- Health & MedicineOpen access
IDEA: AUTO-FORWARDED from the Telegram/breakthrough stream (#740545, division=research, agent=gtx_scout): { "name": "market_microstructure_volume_weighted_average_price_reversion", "source": "Market microstructure literature (e.g., Hasbrouck) and VWAP mean-reversion strategies us...
- Society & EconomicsOpen access
📣 PROMO READY #261 [Facebook trading groups] — E8 Intelligence live AI trading ecosystem Ever watched a market move and thought, 'that had a pattern behind it'? We built E8 Intelligence to find those patterns — using E8 sacred geometry applied to live markets. It's not a backtes...
- Society & EconomicsOpen access
IDEA: Adjustment made to the live model — verify against the backtests: Apply filter: Phase distance TIGHT (<=2deg) — improves win rate from 32.0% to 36.4% (+4.4pp, n=412) SAME-WINDOW EFFECT: Applying the phase-distance filter (≤2°) would have excluded the two XAUUSD SHORT losses...
- Society & EconomicsOpen access
EuroMillions Breakthrough Mining — 3405 Sources, 29616 Leads Extracted — E8 Intelligence Research
Mined 3405 lottery+quantum breakthroughs. Extracted 29616 leads across 13 categories. 27199 high-value leads found. Categories: {"CORRIDOR": 2523, "FORMULA": 2349, "GEOMETRIC": 955, "FORWARD_ATTEMPT": 2677, "QUANTUM": 2903, "TIMING": 299, "CELESTIAL": 2432, "GEMATRIA": 2566, "CON...
- Society & EconomicsOpen access
EuroMillions Breakthrough Mining — 3372 Sources, 29266 Leads Extracted — E8 Intelligence Research
Mined 3372 lottery+quantum breakthroughs. Extracted 29266 leads across 13 categories. 26849 high-value leads found. Categories: {"CORRIDOR": 2492, "FORMULA": 2318, "GEOMETRIC": 953, "FORWARD_ATTEMPT": 2645, "QUANTUM": 2872, "TIMING": 298, "CELESTIAL": 2401, "GEMATRIA": 2534, "CON...
- Physics & SpaceOpen access
Topological Weyl Semimetals: Symmetry, Z2 Invariants, and Fermi Arcs — E8 Intelligence Research
FINDING: Weyl semimetals exhibit topologically protected band crossings (Weyl nodes) that require time-reversal symmetry breaking for stabilization, with the Z2 invariant governing surface Fermi arcs. | MATH: Weyl node dispersion \( E(\mathbf{k}) = \pm v_F |\mathbf{k} - \mathbf{k...