Neuro-Cognitive Coherence in Aerobic Locomotion and Dynamic Verbal Dual-Tasking: Prefrontal-Parietal Hemodynamics, Non-Markovian Biological Fluctuations, and Stress Attenuation Models

[Executive Abstract / 英文要旨] This treatise presents a unified mathematical and neuro-physiological model of neuro-cognitive coherence induced by the concurrent execution of rhythmic aerobic locomotion and dynamic verbal dialogue—a paradigm termed the Locomotion-Verbal Dual-Task (LVDT). In an increasingly automated computational civilization, sedentary desk-bound cognitive strain induces localized prefrontal hypo-perfusion, chronic sympathetic over-activation, and cognitive rigidity. Conventional neuro-ergonomics often views dual-tasking as cognitive-motor interference leading to performance degradation. Contrary to this assumption, we demonstrate that when aerobic exercise is maintained within sub-lactate threshold regimes (1.5–2.0 Hz gait cadence), mechanical and hemodynamic oscillations phase-lock with cortical electrophysiological rhythms (theta-gamma cross-frequency coupling), serving as an exogenous physical clock. This synchronization enhances prefrontal-parietal oxygenation via dynamic neurovascular coupling and upregulates neurotrophic signaling (BDNF). Furthermore, the interaction between verbal respiration and rhythmic gait drives non-Markovian long-range biological fluctuations across heart rate variability (HRV) and dynamic bio-impedance, actively purging stochastic cognitive noise and precipitating rapid parasympathetic reactivation (vagal tone elevation and cortisol attenuation). We formulate the governing differential equations, define the phase-entrainment operator, present wearable fNIRS/bio-sensing verification protocols, and elucidate the architectural implications for maintaining physical-layer Human-in-Command (HIC) and cognitive sovereignty against autonomous AI saturation. [Japanese Abstract / 和文要旨] 本論文は、リズミカルな有酸素的歩行・身体運動と動的な言語対話の同時遂行(Locomotion-Verbal Dual-Task: LVDT)が惹起する「神経認知コヒーレンス」の統合的数理・神経物理モデルを提示する。高度AI・計算文明において、身体性を剥奪された静止座位型の過剰な認知的負荷は、背外側前頭前野の虚血的疲労、慢性的な交感神経過緊張、および思考の硬直化をもたらす。従来の認知運動力学では、二重課題はリソース競合に伴う干渉・機能低下として捉えられがちであったが、本稿では乳酸閾値以下の有酸素運動領域(歩行ケイデンス1.5〜2.0 Hz)において、骨格筋および血流動態の物理的周期的振動が皮質電気生理学的リズム(シータ・ガンマ位相振幅結合)を強制引き込み(Phase Entrainment)する外因性クロックとして機能することを論証する。この引き込みは、機能的近赤外分光法(fNIRS)で観測される前頭前野・頭頂葉の酸素化ヘモグロビン(oxy-Hb)濃度動態を最適化し、脳由来神経栄養因子(BDNF)の発現を促す。さらに、発話呼吸と歩行律動のカップリングは、心拍変動(HRV)および生体インピーダンス過渡応答において非マルコフ的(長距離相関性)ゆらぎを賦活化させ、反芻思考や認知的雑音を排斥して迷走神経活動を急峻に回復させる。本論考は、その支配方程式、実験測定プロトコル、およびAI過剰浸透社会において人間が絶対的認知主権と人間指揮権(HIC)を維持するための身体的アーキテクチャを体系化する。 [Core Theoretical Highlights] 1. Phase Entrainment via Mechanical Exogenous Clock: Gait cadence (1.5–2.0 Hz) dynamically locks cortical theta-gamma oscillations, circumventing cognitive resource exhaustion. 2. Dynamic Neurovascular Coupling: Enhanced prefrontal and parietal hemodynamics measured via wearable multi-channel fNIRS, elevating oxygenated hemoglobin (oxy-Hb). 3. Non-Markovian Stress Attenuation: Long-range power-law autonomic fluctuations in heart rate variability (HRV) and respiratory sinus arrhythmia (RSA), drastically suppressing cortisol and sympathetic burnout. 4. Physical Foundation for Human-in-Command (HIC): Restoring sovereign cognitive resilience for mission-critical operators against automation bias and AI hallucinations.