Fractal Neural Dynamics and Memory Encoding Through Scale Relativity.

ABSTRACT:

Background/objectives

Synaptic plasticity is fundamental to learning and memory, yet classical models such as Hebbian learning and spike-timing-dependent plasticity often overlook the distributed and wave-like nature of neural activity. We present a computational framework grounded in Scale Relativity Theory (SRT), which describes neural propagation along fractal geodesics in a non-differentiable space-time. The objective is to link nonlinear wave dynamics with the emergence of structured memory representations in a biologically plausible manner.

Methods

Neural activity was modeled using nonlinear Schrödinger-type equations derived from SRT, yielding complex wave solutions. Synaptic plasticity was coupled through a reaction-diffusion rule driven by local activity intensity.

SUBMITTER: Buzea CG 

PROVIDER: S-EPMC12563330 | biostudies-literature | 2025 Sep

REPOSITORIES: biostudies-literature