012 不平衡三进制因果生长系统:局域光速不变的内生推导与全局谱系超光速退行的代数表达/012 Unbalanced Ternary Causal Growth System: Endogenous Derivation of Local Light-Speed Invariance and Algebraic Expression of Global Superluminal Recession

摘要**:本文在 012 不平衡三进制因果生长系统(C001–C003 公理框架)内给出两组显式方程:A 组从认领节流与因果邻接公理内生导出局域信号速率上限 $c_0$(内生轮速),证明光速不变不是独立假设而是不等式比值封闭的必然结果,并以发光体运动思想实验给出经典速度叠加失效的代数根源;B 组给出全局谱系生长的退行速度方程,证明其可超过$c_0$ 而不与 A 组冲突。两组方程的数学来源被显式分离:前者是因果步长与生拍节拍的商,后者是图顶点增生率与读出长度的积。**中文关键词**:012 不平衡三进制;因果生长系统;认领节流;内生轮速;超光速退行;离散 Regge 几何AbstractWithin the 012 Unbalanced Ternary Causal Growth System (axiomatic frameworkC001–C003), this paper presents two explicit equation sets. Set A endogenouslyderives the local signal-speed bound c0 c_0 (the intrinsic round-speed) from theclaim-adjacency and claim-throttling axioms, showing that light-speed invariance isnot an independent postulate but the closure of an inequality ratio; the failure ofclassical velocity addition is exhibited algebraically through the moving-emitterthought experiment. Set B derives the recession-velocity equation of global lineagegrowth and shows that it may exceed c0 c_0 without contradiction with Set A. Themathematical origins of the two effects are explicitly separated: a quotient of causalstep and generation beat, versus a product of graph-vertex production rate andreadout length.Keywords: 012 unbalanced ternary; causal growth system; claim throttling; intrinsicround-speed; superluminal recession; discrete Regge geometry