Sub-Planckian Resonance and the Cognitive Field: AFoundational Framework for Thought Curvature andWaveform Feedback

This paper is a direct continuation of the Fractal Fluid Space-Time (FFST) model developed in https://doi.org/10.6084/m9.figshare.28466540.v27\cite{ffst2025}, where the structure of space-time was modeled as a recursive, scale-invariant fluid capable of supporting curvature, torsion, and dynamic wave interaction. In that framework, space-time was shown to behave as a fractal field whose local density and pressure structures influenced rotational dynamics, gravitational behavior, and quantum coupling. The present work extends that formulation into the neurophysical domain, proposing that cognition is itself a fluid-structured waveform interaction arising from sub-Planckian resonance within this field. All variables introduced herein, including $\rho_f(x,t)$, $\Gamma_c(t)$, and $\mathcal{R}_n$ feedback layers, derive from or are consistent with FFST's foundational terms.<br>

本研究是对前期已构建的分形流体时空（Fractal Fluid Space-Time, FFST）模型的直接延续，该模型的相关研究详见https://doi.org/10.6084/m9.figshare.28466540.v27cite{ffst2025}。在该模型中，时空结构被建模为一种递归、尺度不变的流体，能够承载曲率、挠率以及动态波相互作用。在该框架下，时空被表征为一种分形场，其局域密度与压强结构会对转动动力学、引力行为以及量子耦合产生影响。本研究将该理论框架拓展至神经物理领域，提出认知本身便是一种由该场域内亚普朗克尺度共振所产生的、具有流体结构的波形相互作用。本文引入的所有变量（包括$
ho_f(x,t)$、$Gamma_c(t)$以及$mathcal{R}_n$反馈层）均源自FFST的基础术语，或与其保持一致。