从统一因果尺码到物质过程阈值——绝对速度 J 轴、J₀ 测量与 A5 物质实例化 - From a Unified Causal Scale to Material-Process Thresholds—The Absolute-Velocity J Axis, J₀ Measurement, and A5 Material Instantiation

Abstract

中文摘要 A5 桥接公理以真空光速 c 规定共同因果尺码,但具体物质如何获得局部读数,仍需物理接口。本文提出绝对速度轴 J,作为物质状态进入 A5 的中介坐标。 为恢复其物理起点,本文将“分子飞机”思想实验落实为二维等径硬球模型:洛伦兹长度收缩提供纵向自由空间减少;在 K_core ≫ K_inter 且 |Δσ/σ| ≪ |Δd/d| 的尺度分离条件下,有效排除直径 σ 近似保持;Maxwell 速度分布造成局部接触的先后性;硬核排斥与结构弛豫则推动集体重排。 数值模拟在 U = 0.970c 时得到局部有序增强而整体取向仍弱的液体式短程有序;在 U = 0.982c 时得到局部有序和整体有序均较高的晶体式长程结构。由此形成“无序气体—局部接触—短程有序—长程有序”的可计算链条。 据此,本文将绝对速度 J 定义为与物体相对于观察者实际呈现的“速度—微观结构”统一状态相对应,并保留速度量纲及洛伦兹变换结构的物理量。物体宏观静止时具有由其结构决定的 J₀;引入运动后,满足: J = (J₀ + u)/(1 + J₀u/c²)。 本文进一步提出通过电磁、几何、结构动力学和可逆热力学通道反演 J₀ 的方法,并使用 (J₀/c, J/c) 构造局部 A5 单元及过程进度。模拟中的短程有序为 N* 过渡区提供结构对应,长程有序则构成 A5 满点或翻点之前稳定结构核的物理原型。具体阈值仍须通过过程映射和实验标定加以确定。 English Abstract The A5 bridging axiom uses the vacuum speed of light c to specify a common causal scale, but a physical interface is still required to explain how a particular material obtains a local reading. This paper proposes the absolute-velocity axis J as an intermediate coordinate through which material states enter A5. To recover its physical starting point, the “molecular airplane” thought experiment is implemented as a two-dimensional model of equal-diameter hard particles. Lorentz length contraction reduces the longitudinal free space. The effective excluded diameter σ remains approximately fixed under the scale-separation conditions K_core ≫ K_inter and |Δσ/σ| ≪ |Δd/d|. The Maxwell velocity distribution produces a temporal ordering of local contacts, while hard-core repulsion and structural relaxation drive collective rearrangement. At U = 0.970c, the numerical simulation yields liquid-like short-range order, characterized by enhanced local order but weak global orientation. At U = 0.982c, it yields a crystal-like long-range structure with both high local and high global order. The calculation therefore supplies a computable chain from disordered gas, through local contact and short-range order, to long-range order. On this basis, absolute velocity J is defined as a physical quantity corresponding to the unified velocity–microstructure state actually presented by an object relative to an observer, while retaining the dimensions of velocity and the structure of Lorentz transformations. When an object is macroscopically at rest, it has a structure-determined value J₀. After motion is introduced, it satisfies: J = (J₀ + u)/(1 + J₀u/c²). The paper further proposes methods for inferring J₀ through electromagnetic, geometric, structural-dynamic, and reversible-thermodynamic channels, and uses (J₀/c, J/c) to construct a local A5 unit and represent process progress. Short-range order in the simulation provides a structural counterpart of the N* transition zone, whereas long-range order provides a physical prototype of the stable structural core preceding an A5 completion point or flip point. Specific thresholds must still be determined through process mapping and experimental calibration.