属性压强的本质:从质量密度到体积密度——环境属性理论中的统一密度表述

Abstract

The Environmental Attribute Theory (EAT, 环境属性理论) re-anchors the fundamental concepts of physics in real medium particles (介质粒子) and their distributions. Based on the EAT framework, this paper systematically discusses the physical essence of attribute pressure (属性压强) and its unified expression across different material levels. Attribute pressure $P = c^2 \rho$ is defined as the force per unit area exerted by the medium on an immersed object due to its intrinsic wave speed (本征波速) $c$ and mass density (质量密度) $\rho$. This definition is derived from first principles (第一性原理) through the silent wave model (静默波模型) and does not depend on molecular thermal motion or external force fields. For the fundamental medium system composed of Dianxon (电性子) and Zhongxon (中性子), the volume of its constituent particles does not change with temperature, and the attribute pressure is directly determined by the mass density. For macroscopic matter composed of atoms/molecules, due to the modulation effect of temperature on electron orbits (电子轨道), the effective atomic volume (原子有效体积) obeys $V_T = V_0 + \beta T$. In this case, a dimensionless quantity—volume density (体积密度) $\eta = N\beta T/(V - N V_0)$ (for dilute gases, 稀薄气体, $\eta \approx n\beta T$)—must be introduced, and the attribute pressure is expressed as $P = P_0 \eta$, where $P_0$ is the intrinsic pressure constant (本征压强常数). From two independent paths—the volume density expression and the mass density expression—the ideal gas equation of state (理想气体状态方程) $PV = n_{\text{mol}} R T$ is rigorously derived, verifying the internal self-consistency of the EAT framework and revealing the medium-dynamics origin (介质动力学本源) of the universal gas constant (普适气体常数) $R = P_0 \beta N_A$ and the Boltzmann constant (玻尔兹曼常数) $k_B = P_0 \beta$. Dimensional analysis (量纲分析) ensures the strict self-consistency of all formulas. This paper shows that the essence of attribute pressure is the manifestation of material density—for fundamental particles, it is mass density; for macroscopic matter, it is volume density; the two achieve a profound unification within the EAT framework through the modulation effect of temperature on atomic structure (原子结构).

Keywords: Environmental Attribute Theory (环境属性理论); attribute pressure (属性压强); volume density (体积密度); silent wave (静默波); ideal gas equation of state (理想气体状态方程); Boltzmann constant (玻尔兹曼常数)