Theoretical analysis evaluates readability conditions in pure locking inference networks, indicating minimal readable units may exceed the fundamental Planck area.
This document analyzes candidate assumption A3 within the Pure Locking Inference framework. A3 states that the minimal readable unit of the locking network is a Planck-area element, A_min = l_p². The document separates A3 into three parts: a geometric part, a physical input part, and a readability part. The geometric part depends on A1, a semantic constraint of two-way readability, a geometric constraint of two dimensionality, and a square-shape assumption. The physical input part depends on ħ, G, c. The readability part asks whether γ > Γ holds on the scale l_p². This is currently undetermined. The most honest statement of A3 is: the minimal geometric unit of the locking network is l_p², while the minimal readable unit is the minimal structure satisfying γ > Γ, whose area may be larger than l_p². A tension between geometric N_eff and the phenomenological FΛCDM is also noted. All assumptions and open problems are explicitly marked. A3 remains in the candidate layer, not the core layer. 本文在纯锁定推理框架内分析候选假设 A3。A3 表述为:锁定网络的最小可读单元是普朗克面积面元,A_min = l_p²。 文档将 A3 拆成三部分:几何部分、物理输入部分、可读性部分。几何部分依赖 A1、双向可读性的语义约束、二维性的几何约束、正方形假设。物理输入部分依赖 ħ、G、c。可读性部分问的是:在 l_p² 尺度上,γ > Γ 是否成立。目前无法判断。 A3 最诚实的表述是:锁定网络的最小几何单元是 l_p²,最小可读单元是满足 γ > Γ 的最小结构,其面积可能大于 l_p²。文档还指出了几何 N_eff 与唯象 FΛCDM 之间的张力。所有假设和开放问题均明确标注。A3 仍属候选层,不是核心层。
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Meng Chen (2026) studied this question.
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