Title Spacetime Substantivalism XXII: The Premise Error of the Hole Argument — From the Perspective of CSSD's Substantial Spacetime Abstract The Hole Argument has stood for decades as a primary philosophical challenge to spacetime substantivalism, asserting that if spacetime is a substance, General Relativity leads to indeterminism. This paper conducts a fundamental audit of the Hole Argument through the framework of Cui's Substantial Spacetime Dynamics (CSSD) and demonstrates that its persuasive force depends on an unacknowledged "ontological smuggling": the illicit substitution of the mathematical point (an R-level placeholder) for the substantial spacetime point (an E-level entity supported by the photonic material L). We trace this error to Einstein's historical oversight, where he inadvertently borrowed "substantial appearance" from regions with matter and "mathematical emptiness" from the "hole" to generate a paradoxical conclusion. We show that this follows a consistent pattern of oversight, including the substitution of particle speed C for the constitutive response limit Cs (the true property of the spacetime substrate). The CSSD framework corrects this by establishing the Principle of Uniqueness of Instantiation (∃!X: X=L(τ)), proving that while mathematical coordinates (R) can be dragged, the unique logical track of instantiation is physically undraggable. We invoke gravitational wave observations (GW170817) as the empirical court to confirm that spacetime is a substantive substrate capable of carrying momentum and energy. Finally, we introduce the Principle of Logical Saturation to explain that mathematical indeterminacy marks the resolution limit of the tool, not the boundary of physical existence. The Hole Argument is hereby dismissed as a logical error based on category confusion. Keywords Hole Argument; Spacetime Substantivalism; Ontological Smuggling; E-R Distinction; Principle of Uniqueness of Instantiation; Logical Matrix (TAO); CSSD; Gravitational Wave Audit; Constitutive Response Limit (Cs); Logical Saturation 标题 时空实体论 XXII:孔洞论证的前提错误 —— 来自 CSSD 实质时空视角的审计 摘要 数十年来,“孔洞论证”(Hole Argument)一直是时空实体论面临的主要哲学挑战,该论证断言,如果时空是一种实体,广义相对论将导致非决定论。本文通过“崔氏实质时空动力学”(CSSD)框架对孔洞论证进行了根本性的逻辑审计,揭示了其说服力源于一种不被察觉的“本体走私”:即非法地用数学点(R 层级的占位符)替代了由光子材料 L 支撑的实质时空点(E 层级的实体)。 我们通过审计发现,这一错误根源于爱因斯坦历史性的“疏忽”,即他非法地借用了有物质区域的“实质表象”和孔洞区域的“数学空虚”,从而产生了一个悖论性的结论。我们证明这种错误模式具有连贯性,同样出现在将粒子速度 C 替代为本征响应极限 Cs(时空基底的真实属性)的过程中。 CSSD 框架通过确立“实例化唯一性原理”(∃!X: X=L(τ))修正了这一错误:证明了虽然数学坐标(R 层级)可以被拖拽,但由逻辑矩阵锁定的实例化路径在物理上是不可拖拽的。我们援引引力波观测(GW170817)作为实验法庭,证实了时空是能够携带动量和能量的实质基底。最后,我们引入了“逻辑饱和原理”,解释了数学上的不确定性仅标志着工具的分辨率极限,而非物理存在的边界。据此,孔洞论证因其前提不自洽和范畴混淆而被正式驳回。 主题词 孔洞论证;时空实体论;本体走私;E-R 区分;
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Hugang Cui (Wed,) studied this question.
www.synapsesocial.com/papers/69fd7f86bfa21ec5bbf0804b — DOI: https://doi.org/10.5281/zenodo.20054894
Hugang Cui
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