BU41 Dark Matter and Dark Energy under B_U Structural Residual Interfaces, Background Settlement Pressure, and Symmetric Closure

Abstract Dark Matter and Dark Energy under B_U: Structural Residual Interfaces, Background Settlement Pressure, and Thermodynamic Recovery reclassifies dark matter and dark energy as two structural residual interfaces within the total-reality settlement network. The paper does not treat them as mere unknown substances or mysterious forces, nor does it deny their observational standing. Dark matter is defined as a slow structural residual that has strong gravitational-interface standing while remaining unclosed at the current object-layer particle interface. Dark energy is defined as a background settlement-pressure term that manifests through cosmic expansion while remaining unclosed as a local entity. Under B_U, the “dark” status of both terms means that the current projection stratum reads their effects without yet completing their object-layer formulation. The paper further proposes a structural coupling chain in which microscopic zeroing load is translated through residual gating, large-scale boundary stability, and background settlement pressure into the macroscopic expansion-rate readout H(t). It also rewrites the second law of thermodynamics as the directional counter-effect of expanding microscopic entropy-gradient clearing cost: microscopic bias is zeroed, while the macroscopic world reads out the entropy arrow. The final claim is a symmetric closure: evolution unfolds higher-order retained structures, while thermodynamic recovery clears disqualified residual shadows through entropy increase and heat-death tendency.