This paper presents empirical results from a production-grade C++ implementation of a deterministic semantic state substrate derived from prior formal work on Bounded Local Generator Classes (Martin, 2026). The system was mathematically specified prior to implementation and realized as a CPU-resident graph engine operating under bounded local state evolution. Contemporary inference-driven AI architectures reconstruct semantic state through probabilistic recomposition, producing compute cost that scales with token volume and context horizon. In contrast, the substrate described here represents semantic continuity as a persistent, addressable memory graph evolved under a time-modulated local operator g(t). Work is bounded by local semantic change Delta s, independent of total memory cardinality M. Empirical measurements on Apple M2-class silicon demonstrate invariant traversal latency (approximately 0.25 to 0.32 ms), stable CPU utilization (approximately 17.2 percent baseline with Delta CPU approximately 0 to 0.2 percent), and no scale-correlated thermal signature across 1M to 25M node regimes under sustained operation. Measured per-node density ranges from approximately 1.3 KB (Float64 baseline) to approximately 687 bytes (compressed Float32 accounting). Under binary memory accounting, this yields a 1.6 billion node capacity projection within a 1 TiB envelope. These results indicate an empirically invariant thermodynamic regime in which scaling is governed by memory capacity rather than inference-bound recomposition. The Compute ICE-AGE is defined as the Invariant Compute Envelope under Addressable Graph Evolution, and the empirical evidence presented demonstrates this regime up to 25M nodes.
翻译:本文基于先前关于有界局部生成器类(Martin, 2026)的形式化工作,从一个生产级C++实现的确定性语义状态基板中得出实证结果。该系统在实现前经过数学化规范,并实现为一个在有限局部状态演化下运行的CPU驻留图引擎。当代基于推理的AI架构通过概率性重组来重构语义状态,导致计算成本随令牌数量和上下文范围而扩展。相比之下,本文描述的基板将语义连续性表示为一个持久的、可寻址的记忆图,该图在时间调制的局部算子g(t)下演化。计算工作量受限于局部语义变化Δs,而与总记忆基数M无关。在Apple M2级芯片上的实证测量表明,遍历延迟保持恒定(约0.25至0.32毫秒),CPU利用率稳定(基线约17.2%,ΔCPU约0至0.2%),并且在持续运行下,从100万到2500万节点规模范围内未观察到与规模相关的热特征。测得的每节点密度范围约为1.3 KB(Float64基线)至约687字节(压缩Float32核算)。在二进制内存核算下,这可在1 TiB的内存包络内实现约16亿节点的容量预估。这些结果表明了一个经验上不变的热力学状态,其中扩展由内存容量而非推理受限的重组所主导。计算ICE-AGE被定义为可寻址图演化下的不变计算包络,本文提供的实证证据展示了该状态在高达2500万节点规模下的表现。