Common State and Unified Field: The PCS Observational Calibration Framework Additional title/可共同狀態與統一場:PCS 觀測校正框架

Description / Abstract Common State and Unified Field: The PCS Observational Calibration Framework develops a common-state approach to the unified-field problem by distinguishing physical reality, observation, and reconstructed state. The framework begins from a methodological requirement: heterogeneous observations should not be used to infer a common physical structure until their propagation delays, reference frames, measurement conditions, uncertainties, and reconstruction dependencies have been explicitly aligned to a declared common reference state. The central reconstruction is expressed as O → K_T → Û(T) → E_U → R_U(T), where O denotes the observational set, K_T the PCS calibration/reconstruction operator, Û(T) the reconstructed common state, E_U a candidate physical closure operator, and R_U(T) the resulting closure residual. This version extends the framework across physical scale. In addition to astronomical and cosmological observations, it considers the correspondence between microscopic/quantum, atomic and molecular, statistical-mechanical, thermodynamic, macroscopic, planetary, and cosmological descriptions. Cross-scale agreement is treated as a test rather than an assumption. PCS therefore does not claim a completed unified-field equation. Its unresolved core is narrower: after common-state reconstruction, known-physics closure, and explicit cross-scale correspondence, does a reproducible physical residual remain? The framework preserves the established domains of Newtonian mechanics, general relativity, electromagnetism, quantum physics, statistical mechanics, and thermodynamics while introducing an explicit observational-reconstruction layer for testing whether apparently different physical descriptions can be compared within a mutually consistent state. Project websites:PCS Research: alvin-lin-pcs.uranusastudio.chatgpt.sitePCS Observatory: planetarycommonstate.org/PCS_OBSERVATORY/