Conservation of Causal Information

Formalizing a Law of Conservation of Causal Information within the scalar-tensor framework of Macro-Supersymmetry (MSS). We demonstrate that the apparent loss of de- grees of freedom during geometric rank collapse (s → 0) is a transduction of information from kinetic causal states (classical history) into latent geometric potential. By defining a filtering coefficient χ = sk, we show that the total information density Itotal is a curvature- invariant conserved quantity. This provides a purely geometric resolution to the black hole information paradox and establishes the thermodynamic arrow of time as a consequence of information transduction.在宏观超对称（Macro-Supersymmetry, MSS）的标量-张量框架下形式化因果信息守恒律。本文证明，几何秩坍缩（s → 0）过程中出现的表观自由度损失，实则为信息从动力学因果态（经典历史）向隐几何势的转导过程。通过定义滤波系数χ = sᵏ，我们证实总信息密度I_total为曲率不变守恒量。该研究为黑洞信息佯谬提供了纯几何层面的解决方案，并将热力学时间箭头确立为信息转导的必然结果。