[MST-EUT Theory Series #20] Self-Consistent Solution for Fine-Structure Constant - MST-EUT精細結構常數的自洽解 (v1.1-zh)

This paper constitutes the third and final part of the MST-EUT Trilogy and completes the self-consistent determination of the fine-structure constant within the entropic-field framework established in the preceding works. Building upon the vacuum structure and fixed-point mechanisms developed in the first and second parts of the Trilogy, the fine-structure constant is derived as a structural fixed-point projection rather than as an externally supplied experimental parameter. No additional free parameters are introduced in this process; instead, the observed value emerges from the internal consistency conditions of the theory. Within this framework, the fine-structure constant is interpreted as a consequence of impedance matching and geometric dilution associated with the selected vacuum configuration. The resulting value is shown to be uniquely fixed by the underlying entropic-field structure and its response behavior near the critical regime. This work closes the MST-EUT Trilogy by demonstrating that a fundamental physical constant can be obtained as a necessary and self-consistent outcome of the theory’s ontological and structural foundations, thereby completing the logical chain from phase structure, vacuum selection, to observable constants. 本文為 MST-EUT 三部曲之第三篇,承接前兩篇所建立之熵場相變結構與真空選態機制,完成精細結構常數的第一性原理自洽決定。 在本篇中,精細結構常數不再被視為外加的實驗輸入參數,而被重新界定為熵場結構在既定真空態下,經由固定點機制所顯影的結構性投影結果。整個推導過程中不引入任何新的自由參數,其數值完全由理論內部的一致性條件所決定。 在此架構下,精細結構常數被理解為真空結構所對應之阻抗匹配與幾何稀釋效應的必然結果,其數值由熵場在臨界區域附近的回應行為唯一固定。該結果顯示,精細結構常數並非偶然選定,而是源自 MST-EUT 架構之內在結構必然性。 本研究完成了 MST-EUT 三部曲的理論閉合,清楚展示自然常數可作為熵場本體結構之自洽結果而被導出,從而建立一條由相變結構、真空選態到可觀測常數的完整理論鏈。