The 012 Unbalanced Ternary Causal Growth System: Endogenous Derivation of Local Light-Speed Invariance and Algebraic Expression of Superluminal Cosmological Lineage Recession/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宇宙谱系超光速 退行的代数表达

AbstractWithin the C001, C002, and C003 axiomatic basis of the 012 unbalanced ternarycausal growth system, and using the intrinsic selection rules S1–S8 and convergenceprescriptions A1–A8, this paper derives local light-speed invariance in the stationaryrelativistic continuum branch and formulates the algebra of superluminal recessiongenerated by global lineage growth. Claim throttling permits at most one causalclaim per lineage per round. The ratio between the causal-adjacency step and thegeneration-phase tick defines, under coarse-graining, an endogenous round speed\(c_0\). Claim throttling alone does not determine a finite light speed; the finite localrate and its transformation law additionally require the Lorentzian quadratic formselected by S7 and the response-scale consistency imposed by A7–A8. In this branch,local signals propagate along null directions of the quadratic form, and signalsemitted by moving and stationary sources have the same local proper speed.Galilean velocity addition is excluded because its transport law does not preservethat quadratic form.Global lineage growth is defined through the net increase of readout length anddoes not require a causal signal to traverse the corresponding distance in one round.If the separation of comoving lineages satisfies \(L_{AB}=a\chi_{AB}\), then\(\dot{L}_{AB}=H L_{AB}\), which exceeds c for \(L_{AB}>c/H\) without producingsuperluminal local signal propagation. Local light-speed invariance and superluminalrecession are therefore two distinct lineage responses: the former concerns localcausal-adjacency transfer, whereas the latter concerns the coordinate readout ofglobal lineage growth.Two branch-testable predictions are formulated. Multiband light curves ofhigh-redshift transients may acquire an additional coherent delay proportional to thepath integral of saturation load. The outskirts of nearby low-mass galaxies mayexhibit a residual spectral shift controlled by port activity and the square root oflineage drift. Both predictions include explicit observables, parameter regimes, anddetectability conditions, and both reduce to their standard general-relativistic limitswhen the additional lineage response vanishes. They apply only to stationary lineagebranches satisfying A1–A8 and fail in nonstationary and saturation-transitionregimes.Keywords: 012 unbalanced ternary system; causal growth; endogenous light speed;lineage drift; cosmological recession; testable predictions 摘要本文在 012 不平衡三进制因果生长系统的 C001、C002、C003 公理基底上,沿用 S1—S8 内禀选择定则与 A1—A8 收敛规约,推导相对论稳态连续分支下的局域光速不变,并建立全局谱系增生引发超光速退行的代数表达。离散认领节流规定:每一谱系每轮至多发生一次因果认领;生拍节拍与因果邻接步长在粗粒极限下的比值,定义内生轮速 \(c_0\)。认领节流本身不能单独确定有限光速,局域有限速率以及速度变换规律,还需要由 S7 的洛伦兹二次型、A7—A8 的响应尺度一致性共同约束。在该分支框架内,局域信号沿二次型零方向传播,运动光源与静止光源发出的信号,局域固有速率完全相同;伽利略速度叠加因无法保持该二次型不变,不属于合法谱系运输变换。全局谱系增生由读出长度的净增长定义,不要求在单一轮次内完成对应空间跨度的因果传递。若共生谱系间距满足 \(L_{AB}=a\chi_{AB}\),则退行速度满足 \(\dotL_{AB}=HL_{AB}\);当 \(L_{AB}>c/H\) 时,退行速度可以超过局域光速,但不会产生局域信号超光速传播。光速不变、超光速退行是两套性质不同的谱系响应:前者刻画局域因果邻接传递,后者刻画全局谱系增生带来的坐标读出效应。本文进一步给出两个稳态分支下可检验的物理预言:高红移暂现源的多波段光变曲线,存在与路径饱和负荷积分成正比的附加相干时延;近邻低质量星系外围,存在由口岸活性、谱系漂移平方根共同调制的剩余谱线频移。两个预言均给出清晰观测量、有效参数区间与可分辨判据,在附加谱系响应消失时,自动退化为标准广义相对论结果。预言仅适用于满足 A1—A8 收敛规约的稳态谱系分支,在非稳态、饱和突变区域失效。关键词:012 不平衡三进制;因果生长;内生光速;谱系漂移;宇宙退行;可观测预言