The Quantum Brain: Theory and Implications

AUGUST STERN

Published Mar 17, 1994• 4 citations

Abstract

Part 1 Infophysics: logic states logic superposition principle normal ordering Fermion logic logic density matrix logic equations of motion logic interference logic quarks Fibonacci numbers as logic quantum numbers appendix. Part 2 The intelligence code: imaginary logic quantum circuits logic exponent function dual codes quantum errors.

Related papers

Principles of Quantum Artificial Intelligence

Andreas Wichert

Computation Production Systems Human Problem Solving Information Theory Markov Chains Introduction to Quantum Physics Computation with Qubits Discrete Fourier Transform and Quantum Fourier Transform Order Finding Quantum Search Grover's Algorithm and Householder Reflection Quantum Tree Search Quantum Problem Solving General Model of Quantum Computer Quantum Cognition.

WORLD SCIENTIFIC eBooksAug 14, 201317 citations

Golden Ratio Anyons: Topological Error Correction with Fibonacci Quantum Dimensions — E8 Intelligence Research

Andrew Stewart Caldin

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 ≈ 1.618); quantum dimension d = φ satisfies d² = d + 1. Error suppression: logical error rate P_L ∝ (P_threshold/P_physical)^(⌈d/2⌉) for code distance d. Turaev-Viro code threshold: ~0.1–0.15% (Schotte et al., QIP2021). Surface code (non-Fibonacci) threshold: ~1% (Satzinger et al., Google). | CONNECTION: The Fibonacci anyon's quantum dimension is *exactly* the golden ratio φ. The fusion algebra is the golden-ratio quadratic field ℚ(√5). The Turaev-Viro invariant is a state-sum over triangulations — a lattice structure whose partition function encodes 3D topological order, with the golden ratio appearing as the normalization factor. The code distance scaling mirrors the Fibonacci sequence: code distance d grows Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Oct 3, 20260 citations

E8 Holographic Quantum Error Correction via φ-Floquet Tensor Network — E8 Intelligence Research

Andrew Stewart Caldin

The 132 Hz φ/φ' Frobenius drive on the 240-root E8 lattice generates a 30-sector tensor network whose bond dimensions are Fibonacci-Lucas numbers, realizing a holographic code where the 8 dual spectral sectors (exponents {1,7,11,13,17,19,23,29}) encode logical qubits protected by the E8 Weyl group's action on the entanglement wedge. Stroboscopic evolution implements a discrete AdS/CFT duality where bulk anyon braiding (the Fibonacci-Lucas Kramers pair from braid monodromy) is holographically dual to boundary spectral flow (the entanglement bus), yielding a self-correcting quantum memory whose error threshold is governed by φ's Diophantine approximation properties. The non-Abelian Berry holonomy (quantum pump) provides the dynamical gauge field that stitches bulk to boundary, completing a fault-tolerant architecture unifying transport, communication, computation, and memory. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Jul 14, 20260 citations

Fundamentals of Quantum Information

Hiroyuki Sagawa, Nobuaki Yoshida

Basic Concepts of Quantum Mechanics EPR Pair and Quantum Measurement Classical Computer Quantum Gates Theory of Information and Communication Quantum Computation Quantum Cryptography Quantum Search Algorithm Design of Quantum Computers Basic Theory of Numbers.

WORLD SCIENTIFIC eBooksSep 3, 20203 citations

Mind, Brain, and the Quantum: The Compound 'i'

Michael Lockwood

The riddle of consciousness materialism and physicalism - a tale of two isms functionalism neuroscience Einstein and the identity theory how unified is consciousness? state space the refutation of physicalism the problem of perception Berkeley, Russell and the inscrutability of matter states and observables the paradox of Schrodinger's cat quantum mechanics and the conscious observer could the brain be a quantum computer? time and mind Descartes's legacy - mind and meaning, science and scepticism.

May 1, 1991248 citations

E8 Temporal Error Correction Principle — 21-Qubit Cyclic Code at φ¹¹ Threshold — E8 Intelligence Research

Andrew Stewart Caldin

The 42 residual E8 roots (240 − 11×18) decompose into two 21-vector Coxeter orbits forming mutually unbiased bases in ℂ²¹, whose 13th-order Fibonacci closure at 132Hz × φ¹¹ implements a [[21,1,5]] quantum cyclic code encoding a logical qubit in the temporal loop phase space. The closed-form x⁸ solution via quadratic reduction provides the syndrome extraction circuit through E8's octic-to-quadratic field tower, with the 132Hz carrier as the stabilizer measurement clock and φ¹¹ scaling setting the fault-tolerance threshold at φ⁻¹³ ≈ 4.5×10⁻⁴ logical error per cycle. This reveals the E8 Chronon Lattice as a native hardware-efficient quantum memory where time-crystal coherence and error correction are geometrically identical. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Jul 19, 20260 citations