轨道误差动力学：自组织临界性、瞬态参数共振与零存储神经合成中的非线性生物本体论
Orbital Error Dynamics: Self-Organized Criticality, Ephemeral Parameter Resonance, and Non-Linear Biological Ontologies in Zero-Storage Neural Synthesis
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中文总结 AI 辅助
提出轨道误差动力学框架，将权重视为瞬态共振（O(1)）以消除存储瓶颈，并通过仿生跳跃与双脑架构提升鲁棒性，在双月基准上以24字节种子达到77.67%准确率。
中文摘要 AI 辅助
现代深度神经网络将参数视为存储在物理内存中的静态浮点矩阵，由此引发冯·诺依曼内存瓶颈和表征坍缩。我们提出了轨道误差动力学（OED），这是一个分析框架，其中突触权重并非存储的质量（O(W)），而是由复二次多项式映射 z_{n+1} = z_n^2 + c 程序化推导出的瞬态拓扑共振（O(1)）。我们引入了弯曲正弦波假说，证明当谐波通过环境阻力向心形尖点（c = 1/4）向内卷曲时，非平衡生命系统得以涌现。我们在参数空间中定义了观测者视界几何，识别出位于不动点盆地与真实边界 c = 0.25 ± 0.50i 之间的内部共振肩部轨迹 X_upper = (0.25, +0.18) 和 X_lower = (0.25, -0.18)。为了在不进行损失置零的情况下逃离非凸停滞，我们引入了一种受哺乳动物受精锌火花启发的重尾仿生扰动跳跃算子（Omega_tunneling）。我们进一步耦合了由自适应 CD4+ 调节性免疫门控（M_CD4）屏蔽的肠-颅双脑架构，并将 4 核苷酸遗传基础（A、T、C、G）投影到复平面 C 的象限中。在双月流形上的多种子实证验证（5 个种子，80/20 训练/测试分割，32x32 网格，零测试时更新，零标签泄漏）表明，从 24 字节坐标种子进行程序化参数化可实现 77.67% ± 5.35% 的干净测试准确率（与无约束梯度基线 85.67% ± 5.35% 的配对差异在 8.00 个百分点内，95% 置信区间：[-1.07%, 17.07%]），在分布偏移（N(1.2, 0.4)）下准确率为 71.33% ± 3.80%，同时与模拟光学协处理器具有概念等价性。
英文摘要
Modern deep neural networks treat parameters as static floating-point matrices stored in physical memory, incurring Von Neumann memory bottlenecks and representation collapse. We formulate Orbital Error Dynamics (OED), an analytical framework wherein synaptic weights are not stored masses (O(W)), but transient topological resonances (O(1)) derived procedurally from the complex quadratic polynomial map z_{n+1} = z_n^2 + c. We introduce the Bent Sine Wave Hypothesis, demonstrating that non-equilibrium living systems emerge when harmonic waves curl inward through environmental drag toward the cardioid cusp (c = 1/4). We define the Observer Horizon Geometry in parameter space, identifying interior resonance shoulder loci X_upper = (0.25, +0.18) and X_lower = (0.25, -0.18) between the fixed-point basin and the true boundary at c = 0.25 +/- 0.50i. To escape non-convex stagnation without loss zeroing, we introduce a heavy-tailed Biomimetic Perturbed Jump Operator (Omega_tunneling) inspired by mammalian fertilization zinc sparks. We further couple an enteric-cranial Dual-Brain architecture shielded by adaptive CD4+ regulatory immune gating (M_CD4), and project the 4-nucleotide genetic basis (A, T, C, G) across quadrants in C. Multi-seed empirical validation on the Two-Moons manifold (5 seeds, 80/20 train/test split, 32x32 grid, zero test-time updates, zero label leakage) demonstrates that procedural parameterization from a 24-byte coordinate seed achieves 77.67% +/- 5.35% clean test accuracy (within an 8.00-point paired difference of an unconstrained gradient baseline at 85.67% +/- 5.35%, 95% CI: [-1.07%, 17.07%]) and 71.33% +/- 3.80% under distribution shift (N(1.2, 0.4)), alongside conceptual equivalence with an analog optical co-processor.
发表机构
- Anadolu University（阿纳多卢大学）
- ITouch Systems（ITouch系统公司）
- Mersin University（梅尔辛大学）
- Toros Science College（托罗斯科学学院）
机构由 AI 辅助整理，请以论文原文为准。
