AI 中文总结
该研究提出了热力学事实电荷的源损失定律，推导了兰道尔-达尔文界等相关结论，明确了量子达尔文主义中冗余记录在受限控制下产生的热力学资源。
AI 中文摘要
量子达尔文主义中的客观事实是指被环境中多个可独立访问的片段冗余记录的值。冗余不会产生额外的逻辑信息，因此其热力学意义一直不明确。我们证明，冗余会在具有不同访问架构的控制器之间产生精确的功不对称性。对于记录云F和无法联合控制的块划分P，相对于全局控制器的可逆等温擦除代价为玻尔兹曼常数k_B乘以温度T，再乘以划分的总关联度。若源事件X作为催化经典侧信息提供，减去相应代价后得到源损失定律F_P^T = k_B T [Σ_{B∈P} I(X:F_B) - I(X:F)]，我们将其称为热力学事实电荷。该电荷的取值范围从完美秘密共享时的 -k_B T H(X)，到完美广播客观性时的 (|P|-1)k_B T H(X)。其归一化形式定义了一个介于0和|P|之间的热力学记录数。我们推导了兰道尔-达尔文界、端点刚性证书、精确增长与划分细化定律、频谱广播饱和，以及噪声经典和量子碰撞模型的闭式公式。该理论并未修改量子力学，也未假设客观坍缩，它确定了受限控制下冗余记录产生的热力学资源。
英文摘要
Objective facts in quantum Darwinism are values recorded redundantly in many independently accessible fragments of the environment. Redundancy does not create additional logical information, so its thermodynamic meaning has remained unclear. We show that it creates an exact work asymmetry between controllers with different access architectures. For a record cloud $F$ and a partition $\mathcal{P}$ into blocks that cannot be jointly controlled, the reversible isothermal erasure penalty relative to a global controller is $k_{\mathrm{B}}T$ times the partition total correlation. If the source event $X$ is supplied as catalytic classical side information, subtracting the corresponding penalty gives the source-loss law $\mathcal{F}_{\mathcal{P}}^{T}=k_{\mathrm{B}}T\left[\sum_{B\in\mathcal{P}}I(X{:}F_B)-I(X{:}F)\right]$. We call this the thermodynamic factuality charge. It ranges from $-k_{\mathrm{B}}T H(X)$ for perfect secret sharing to $(|\mathcal{P}|-1)k_{\mathrm{B}}T H(X)$ for perfect broadcast objectivity. Its normalized form defines a thermodynamic record number between $0$ and $|\mathcal{P}|$. We derive Landauer--Darwin bounds, endpoint-rigidity certificates, exact growth and partition-refinement laws, spectrum-broadcast saturation, and closed formulas for noisy classical and quantum collision models. The theory does not modify quantum mechanics or posit objective collapse; it identifies the thermodynamic resource generated by redundant records under restricted control.
Comments12 pages, 6 figures, 42 cited references; source and reproducibility archive included
