Xiangbin Zhao

This paper derives a minimal canonical model for the Non-Social Terminal State (NST) within a sedimentation field dynamics framework. Prior work in this framework has established that social fields are cross-field shared-core structures formed through long-term coupling of individual fields, and that social dependency originates from individual capacity gaps. This paper further asks: what sustains social dependency, whether that sustaining structure can hold permanently, and if not, how NST is structurally extracted from the general formula. Defining social dependency through the functional capacity gap CapacityGap_j := max(0, GroupSupport_j − IndividualCapacity_j) as a necessary and sufficient condition, the paper extracts three minimal sufficient conditions through an eight-step interrogation chain. First, a finite need bound (NeedBound_j < ∞): individual functional needs are finite, implying a finite upper bound on group support. Second, a sufficient external extension path (PathSufficient_j): an extension path exists that is not capped by a single field’s internal capacity, and whose ability ceiling exceeds the need bound. Third, a non-permanently-zeroed toolization integral (T_j := ∫₀^∞ ToolizationRate_j dt = ∞): group functions are continuously toolized and absorbed into individual effective capacity, and cannot be permanently blocked on an infinite time horizon. When all three conditions hold jointly, the paper formally proves: lim(t→∞) CapacityGap_j(f,t) = 0 (∀j) ⟹ lim(t→∞) SocialDependency(f,t) = 0 ⟹ NST(f). The paper also proves the minimal sufficiency of the three conditions — NST fails if any one is absent — and provides three counterexamples and two domain boundary cases to complete the penetration argument. Five supplementary formulas are provided. Appendix 1 gives the complete formal definitions of the non-social expression set, including capacity gap, social dependency, non-social condition, and effective capacity decomposition. Appendix 2 gives the non-social limit formula, including time domain setup, limit sufficiency conditions, and limit rate bounds. Appendix 3 gives the non-social dissolution formula, including the three dissolution operators, dissolution dynamics equation, dissolution sufficiency conditions, and dissolution irreversibility conditions. Appendix 4 gives the non-social phase diagram, constructing a four-quadrant phase space with functional dependency (FD) and psychological dependency (PD) as axes, tracing the evolutionary trajectory from full social state (S1) through toolized social state (S2) and functional non-social state (S3) to full non-social state (S4). Appendix 5 gives the boundary absorption formula, defining the absorption-type non-social terminal state (NST_A) in which the individual field is absorbed into a total field and the capacity gap becomes undefined, and argues that the coloring circuit remains fully operative under NST_A — emotional experience remains complete, with only the external-source dependency of coloring imagery dissolved. The paper concludes by defining the complete set of non-social terminal states: NonSocialUltimate(f) ⟺ NST(f) ∨ NST_A(f), with the two pathways independent in structure and mechanism, both sufficient to reach non-social terminal states.

本文在沉积场动力学框架下给出非社终态（NST）的最小范式模型。已有工作证明社会场由多个个体场长期耦合后形成的跨场共核结构构成，社群依赖来源于个体功能缺口；本文进一步追问：社群依赖靠什么维持，这个维持结构是否能永久成立，若不能，非社终态如何从一般式中被逼出。 以功能缺口CapacityGap_j := max(0, GroupSupport_j − IndividualCapacity_j)为社群依赖的充要条件，通过八步追问链逐步逼出三个最小充分条件：其一，有限需求上界（NeedBound_j < ∞）——个体实际功能需求有限，蕴含群体支持存在有限上界；其二，外接能力路径存在且充分（PathSufficient_j）——存在不受单一场容积封顶的外接扩展路径，且路径能力上界超过需求上界；其三，工具化进程长期累积有效量不归零（T_j := ∫₀^∞ ToolizationRate_j dt = ∞）——群体功能持续被工具化并归入个体有效能力，在无限时间尺度上不被永久阻断。三条件联立给出正式证明：lim(t→∞) CapacityGap_j(f,t) = 0（∀j）⟹ lim(t→∞) SocialDependency(f,t) = 0 ⟹ NST(f)。本文同时证明三条件的极小充分性——缺少任意一条则NST不成立——并给出三组反例与两个定义域边界，完成击穿论证。 本文附件覆盖五个方向：附件一给出非社表达式的完整形式定义，包括功能缺口、社群依赖、非社条件与有效能力分解式；附件二给出非社极限式，包括时间域设定、极限成立条件与极限速率界；附件三给出非社消解式，包括消解路径三算子、消解动力方程、消解充分条件与消解不可逆条件；附件四给出非社相图式，以功能依赖度（FD）与情感依赖度（PD）为两轴建立四象限相图，描述从完全社会态（S1）经工具化社会态（S2）、功能非社态（S3）至完全非社态（S4）的演化轨迹；附件五给出边界吸收式，定义当个体场被总场吸收、功能缺口定义失效时的吸收型非社终态（NST_A），并论证着色回路在NST_A下仍完整运作，情感体验完备，消解的仅是着色意象的外部来源依赖。最终定义非社终态完备集：NonSocialUltimate(f) ⟺ NST(f) ∨ NST_A(f)，两条路径独立，结构机制不同，均可达非社终态。

Group dependence does not dissolve because individuals “choose” to leave society — it is systematically eroded by four structural mechanisms: Capacity Expansion (the upper bound of individual effective capacity is not sealed by single field volume), Coupling Cost Escalation (the cost of maintaining social coupling grows superlinearly with scale), Specialization Cage Reversal (the emergence of extended capacity systematically dissolves the necessity of division of labor), and Group Function Toolization (every major function provided by groups tends, over sufficiently long time, to be toolized and absorbed into individual capacity). This chapter proves within a sedimentation field dynamics framework that the four mechanisms in combination cause functional gaps to tend to zero across all key dimensions, driving group dependence toward its limiting value of zero — the Non-Social Terminal State is not a possible state but the dynamic endpoint of the Self-Manifesting Being’s evolutionary path. The “necessity” here is a long-run dynamic tendency, not logical necessity: extreme circumstances can block this trend within finite time, but under sustainable upgrade conditions they do not constitute structural counter-arguments. Three results follow. First, the four laws are mutually independent — even if one law is counteracted in a particular historical period, the remaining three maintain the overall tendency, providing strong robustness. Second, the driving force is not that individual capacity growth rate exceeds group capacity, but that the functional gap tends to zero — a far weaker and harder-to-refute condition. Third, the Non-Social Terminal State does not equal the zeroing of social relationships; functional dependence tending to zero and emotional coupling are independent variables.

Social groups are not the essential destination of intelligent beings, but a compensatory structure for the stage of insufficient capacity. This claim is not a value judgment but a dynamic criterion: group dependence loses its motivating force if and only if the individual’s effective capacity in all key functional dimensions exceeds the functional gains groups can provide, and social groups degrade from prerequisites to options. This chapter provides a complete formalization of non-social conditions within a sedimentation field dynamics framework. Group dependence is fundamentally a compensatory structure for the gap between individual functional capacity and required functions. When this gap trends to zero across all key dimensions, group dependence can no longer be dynamically sustained. Non-social conditions must simultaneously hold across six key functional dimensions — sensory extension, action execution, construction and manufacturing, communication and information acquisition, cognition and computation, and survival and repair — and satisfy four criteria: full-dimensional transcendence, robustness of extended capacity, demand finiteness, and the functional criterion (functional non-sociality does not equal emotional non-sociality). Three results follow. First, the group dependence origin theorem: gaps sustain dependence; gap dissolution eliminates dependence. Second, effective capacity openization: the upper bound of individual capacity is not constrained by single field volume, but tends toward openness through mechanisms of Lodging-Vessel substitution, external tool connection, sensory extension, and cognitive parallelism. Third, the non-social stable state theorem: once established under maintained effective capacity, non-social conditions are conditionally stable and do not spontaneously reverse, though structural decline in effective capacity can break this stability.

History is neither a random walk nor a linear progression, but exhibits structured trajectories: certain civilizations cycle repeatedly between the same institutional forms, certain societies consistently return to similar states after external shocks, and the characteristics of dead civilizations persistently resurface in their successors. What is the common source of these regularities? This chapter provides a unified dynamic equation for social evolution within a sedimentation field dynamics framework: dCore_S/dt = f(current dynamic pressure) + historical residual bias × bias strength + disturbance term. History is not random because the historical residual bias term is nonzero; history is not deterministic because the disturbance term and current dynamics coexist. From this, four laws of social evolution are derived: the Path Dependence Law (historical starting points determine long-run trajectories), the Evolutionary Inertia Law (why core structures resist complete replacement after revolutions), the Evolutionary Convergence Law (why industrialization, bureaucratization, and marketization emerge across civilizations), and the Evolutionary Bifurcation Law (why societies split into multiple trajectories under critical pressure). Three results follow. First, the four laws correspond to four distinct observable historical patterns and are mutually consistent. Second, the laws of social evolution are the social-layer realization of field evolution laws, inheriting the dynamic framework of field theory rather than introducing independent assumptions. Third, evolutionary trajectories carry no directional purpose — the dynamic equation describes only direction and speed, not the value of the destination.

Every generation dies; civilizations can persist for millennia. What mechanism sustains continuity across the death of any single generation? Many apparently “sudden” civilizational collapses are in fact the cumulative result of intergenerational transmission breakdown: not a single external shock that directly destroys civilization, but the transmission efficiency falling below threshold across successive generations until one generation cannot find enough inheritors, and civilization enters irreversible collapse. This chapter provides a complete mechanism for civilizational intergenerational transmission within a sedimentation field dynamics framework. The intergenerational continuity of a civilization’s cross-generational co-nucleus is maintained through the co-nucleus overlap between adjacent generations (GenOverlap) — jointly determined by three factors: transmission integrity, participation rate, and institutional continuity. As long as GenOverlap between adjacent generations remains above the intergenerational survival threshold, civilization retains the capacity to continue across the death of any single generation; when GenOverlap falls below the intergenerational fracture threshold, transmission enters irreversible breakdown, triggering the intergenerational collapse pathway. Three results follow. First, civilizational continuity depends on the collective transmission behavior of the generational cohort — ritual participation, language use, educational institution maintenance — not on the memory of any single individual. Second, the decline of GenOverlap is not linearly lethal; two distinct threshold regions exist: a fragile transmission zone and an irreversible fracture zone. Third, intergenerational fracture is the micro-level realization mechanism of civilizational compression death; external shocks (forced assimilation, religious purges, large-scale displacement) destroy civilizations precisely by driving GenOverlap below the fracture threshold.

每一代人都会死亡，而文明可以延续数千年——这个跨越单代人生命周期的连续性，是通过什么机制实现的？历史上许多”突然”的文明死亡，实际上都是代际传递断裂的累积：不是某次外部冲击直接摧毁文明，而是连续数代的传承效率低于阈值，直到某一代找不到足够多的传承者，文明进入不可逆崩溃。 本文在沉积场动力学框架下给出文明代际传递的完整机制：CivilCore 的代际连续性通过相邻世代之间的共核重合度（GenOverlap）维持——GenOverlap 由传递完整性、参与率和制度连续性三项因子共同决定。只要相邻世代之间的 GenOverlap 持续高于代际存续阈值，文明就具备跨越单代人死亡而延续的条件；当 GenOverlap 跌破代际断裂阈值时，传递进入不可逆断裂，触发文明的代际崩溃通道。 由此推出三个结论：其一，文明存续依赖世代群体的集体传承行为（仪式参与、语言使用、教育制度），而非任何单个个体的记忆；其二，GenOverlap 的下降不是线性致死的，存在两个不同的阈值区间——脆弱传递区与不可逆断裂区；其三，代际断裂是文明压缩死亡的微观实现机制，外部冲击（强制同化、宗教清洗、大规模迁移）之所以能摧毁文明，正是因为它将 GenOverlap 击穿至断裂阈值以下。

Why do post-revolutionary societies always end up resembling the societies they overthrew? Why can civilizations dead for centuries be “rediscovered” and re-enter cultural accumulation? Why can archaeology reconstruct the structure of dead civilizations from residual traces? These phenomena point to a single mechanism: the sedimentation residue left by dead civilizations is not a passive relic but an active bias force. This chapter argues within a sedimentation field dynamics framework that the cross-generational co-nucleus residue of dead civilizations (δ_res^Civ) persistently biases the accumulation trajectory of successor social fields through its structural overlap with new co-nuclei. New social fields preferentially continue along the familiar pathways left by old civilizations because these directions carry lower cognitive friction — this is the structural reason why history cannot be truly zeroed out, not cultural conservatism or a metaphor for path dependence, but a necessary consequence of sedimentation dynamics. Three results follow. First, residual bias explains why post-revolutionary societies resemble their predecessors without being identical to them — residue provides initial directional bias, while other forces determine the final form. Second, residue has its own lifecycle, decaying differentially across cultural layers: ritual residue is the most persistent, value residue the most transient. Third, historical residue truly exits the dynamic system only when its structural overlap with every active social field approaches zero — an event that is historically extremely rare.

Why do rituals survive long after the value systems that originally justified them have been replaced? Why does language persist after ethnic ideologies collapse? Why are explicit value systems always the first casualties of revolution while rituals are the hardest to eradicate? These phenomena point to a single structural fact: different components of a civilization have different transmission costs, and therefore different sedimentation depths and decay rates. This chapter formalizes the cross-generational co-nucleus of a civilization as a four-layer composite sedimentation structure within a sedimentation field dynamics framework: Ritual Layer, Language Layer, Narrative Layer, and Value Layer. Cultural layers with lower transmission costs sediment more deeply and decay more slowly — rituals require only repetition without explanation and therefore reach the deepest sedimentation; value systems require explicit endorsement and explanation and therefore remain the shallowest. Each layer sediments and decays independently; civilizational death is not a simultaneous dissolution but a sequential stripping ordered by decay rate. Three results follow. First, the “importance” of a cultural element is structurally independent of its sedimentation depth — structures that can be continued at low cost systematically tend toward deeper sedimentation. Second, civilizational intrusion by external forces typically displaces the value layer first, then erodes the narrative layer, while the language and ritual layers offer the most persistent resistance. Third, the residual structures left after civilizational death (language fragments, ritual vestiges) do not constitute civilizational continuity, but constrain the growth trajectory of successor civilizations through historical residual bias.

Civilizations do not die by fracture — they die by compression. Historians typically search for a moment of civilizational collapse: a decisive war, a conquest, a revolution. But the actual death process usually begins far earlier. A decline in transmission integrity triggers an endogenous positive feedback loop that accelerates the loss of continuation capacity until the core structure of the old civilization no longer serves as a continuation pathway basis for any active social field. This chapter identifies the compression loop of civilizational death within a sedimentation field dynamics framework: declining transmission integrity (Ω) reduces transmission rate, which reduces sedimentation depth, which reduces the replacement threshold, which further reduces Ω — once this loop initiates, decay is not linear but accelerating. The criterion for civilizational death is not the disappearance of a State, population, or territory, but the convergence toward zero of the overlap between the old civilization’s core structure and active social fields. Three results follow. First, external shocks (wars, conquests) are typically accelerators or terminal triggers of the compression process, not its root cause. Second, civilizational residue (preserved language, transmitted texts, architectural remains) does not equal civilizational continuity — continuity holds only when the old civilization’s core structure still serves as an active continuation pathway for living social fields. Third, civilizational death takes three structurally distinct paths: external replacement, internal erosion, and acute collapse — each driven by a different mechanism.

States die; civilizations persist. China’s dynasties collapsed and were replaced countless times, yet the written language, Confucian ethics, and the identity “China” never disappeared. This phenomenon cannot be explained by theories of the State — State stability rests on the depth of rule-structure sedimentation, but civilizational stability clearly depends on a deeper structure. This chapter provides a core equation for civilizational stability within a sedimentation field dynamics framework. Civilizational continuity depends on whether the product of the sedimentation depth and continuation capacity of the cross-generational co-nucleus (CivilCore) remains above the civilizational survival threshold. While this product holds above the threshold, State death does not entail civilizational death; when it trends below the threshold, civilization enters a terminal pathway — regardless of whether the State at that moment persists. Three results follow. First, civilizational stability and political stability are independent variables that can move in the same or opposite directions. Second, some civilizations rebuild rapidly after repeated revolutions precisely because the CivilCore’s sedimentation provides an initial bias for new rule structures to grow. Third, civilizational death is historically rare but typically irreversible once it occurs — requiring the simultaneous collapse of language, core narrative transmission, and the intergenerational continuity chain.

Why does consensus sometimes collapse and the State destabilize without revolution following? Why do some “revolutions” turn out to be mere coups? Why do the traces of the old order persist long after revolutionary success? This chapter provides a complete formal criterion for revolutionary onset within a sedimentation field dynamics framework. Revolution is not resistance to a person but the replacement of one continuation slot allocation rule-structure by another — a process requiring four dynamic conditions to simultaneously hold: the collapse of social consensus, the breakdown of the State’s rule-structure load-bearing capacity, the formation of an independent continuation capacity by a competing rule structure, and an above-threshold external disturbance. The absence of any single condition produces not revolution but one of four alternative outcomes: social disorder, coup, failed state, or absorbed reform. Three results follow. First, revolution is extremely rare because the simultaneous satisfaction of all four conditions is probabilistically unlikely. Second, revolution cannot zero out history: the residual sedimentation of old rule structures (historical residual bias) systematically constrains the initial conditions of any new rule structure. Third, post-revolutionary stabilization speed depends on the sedimentation rate of the new rule structure, which is tightly coupled to the residual depth of the old structure and the degree of resonance between the new structure and the existing social field. This chapter forms a strict mirror image with Social Chapter 11: PowerCore succession does not equal State replacement; but Rule_SlotAllocation replacement necessarily entails State replacement.

The State and the power field are two distinct structures. History offers many examples of highly concentrated power without a State — warlord regimes, tribal chieftaincies, criminal organizations. What they lack is not power, but a second-order structure above the power field: the institutional sedimentation of the continuation slot allocation rule itself, whereby the question “how is governance conducted” becomes regularized and solidified into a stable, independently transmissible structure. This chapter provides a formal criterion for State formation within a sedimentation field dynamics framework: a State emerges only when the power field deepens beyond an institutionalization threshold and the continuation slot allocation rule itself also undergoes sedimentation — a structural transition, not a quantitative change. Three results follow. First, PowerCore succession (elections, coups, dynastic replacement) does not equal State replacement; the continuity of a State is determined by the depth of its rule structure, not the strength of its current ruler. Second, historical disputes over whether a given polity constitutes “the same State” reduce to the question of which parts of the rule structure remained continuous and which were replaced. Third, State destabilization occurs when the Legitimation Core and the Enforcement Core undergo structural separation — a necessary precondition for revolution, not a sufficient one.

Drawing on sedimentation field dynamics, this paper dissolves power from “the capacity to control resources” or “the will to dominate others” back into its dynamic substrate: structural positional advantage in continuation slot competition — when multiple candidate continuations compete for finite continuation slots simultaneously, the field with higher PowerPos is systematically more likely to occupy subsequent continuation. Power is not something anyone possesses, but the structural position a field occupies in continuation slot competition. The core equation is PowerPos(f_i, F_S) ∝ Cpl · FamOverlap · K_{f_i} / (K_{F_S} + ε), where the denominator K_{F_S} represents the relative compression advantage threshold rather than a suppression term — high K_{F_S} raises the structural threshold for entering the Power Core, explaining why highly solidified societies (Qin, Rome, modern great powers) simultaneously exhibit highly concentrated power. The paper derives the power field deepening equation, identifies three forms of power (consensus-integrated, coercive-suppression, multi-core competitive), and proves three theorems: (1) Power Formation Tendency Theorem — when slots are finite, candidate continuations are differential, and no sustained equilibrating mechanism offsets PowerPos differentials, power structure systematically tends to form; (2) Power Deepening Theorem — once a power field forms, it systematically tends toward self-deepening and T_replace(Power) systematically rises; (3) Power-Co-Nucleus Co-Evolution Theorem — δ(Power) and δ(Core_S) form bidirectional positive feedback through PowerCoreCpl. The paper also introduces the differentiation of the Legitimation Core and Enforcement Core as a structural foreshadowing for revolutionary dynamics.

本文从沉积场动力学出发，将权力从”控制资源的能力”或”支配他人的意志”还原为续行位竞争中的结构性占位优势——当多个候选续行同时竞争有限续行位时，PowerPos 高的场系统性地更容易占据后续续行。权力不是某人拥有的东西，而是某个场在续行位竞争中的结构性位置。核心方程：PowerPos(f_i, F_S) ∝ Cpl · FamOverlap · K_{f_i} / (K_{F_S} + ε)，其中分母 K_{F_S} 表示相对压缩优势门槛，不是抑制项——高 K_{F_S} 提高进入权力核心的结构性门槛，解释了为什么高度固化社会（秦、罗马、现代大国）同时拥有高度集中的权力。本文给出权力场积深方程，识别三种权力形态（共识整合型、力场压制型、多核竞争型），并证明三条定理：（一）权力生成趋向定理——续行位有限且存在差异候选续行、无持续均衡机制抵消时，权力结构系统性趋向生成；（二）权力积深定理——权力场一旦形成系统性趋向自我深化，T_replace(Power) 系统性升高；（三）权力-共核共生定理——δ(Power) 与 δ(Core_S) 通过 PowerCoreCpl 形成双向正反馈。本文还引入权力合法性核（Legitimation Core）与权力执行核（Enforcement Core）的分化伏笔，为革命动力学预留接口。

This chapter is the mirror of Social Chapter 8 (Consensus Formation), addressing the dynamics of Dominant Core disintegration and death. The central claim is that the direct dynamic condition for consensus collapse is not the influx of heterogeneous information but the sustained rise of the social field’s internal fragmentation (Frag) causing the Co-Nucleus decay rate to exceed the deepening rate: Decay(Core_S) > CrossCpl_mean · FamOverlap_mean · φ_{F_S}. The paper strictly distinguishes two paths of dominance failure: Death(Core_S) (δ < θ_dominance, absolute depth decay) and DominanceLoss(Core_S) (∃ Core_k: K_k ≥ K_S, relative competitive failure), both of which can drive the social field into a multi-core fractured state through different mechanisms. The paper derives the fragmentation dynamic equation dFrag/dt ∝ CoreParity · [1 − FamOverlap_mean(Core_i, Core_j)] · SubSuppress_mean, identifies three paths of consensus collapse (external shock, internal erosion, multi-core competition positive feedback) and three outcomes of Sub-Core competition, and proves three theorems: (1) Consensus Collapse Tendency Theorem; (2) Sub-Core Fracture Stability Theorem; (3) Old Nucleus Residual Constraint Theorem (δ_res^C means no consensus replacement begins from a structural zero point). The chapter closes by pointing toward power field dynamics: after consensus collapse, the social field does not immediately disintegrate, but enters a competitive state of multiple Sub-Cores contesting continuation flow dominance — a state that under certain conditions acts upon the power field and ultimately triggers revolution.

本文为社篇第八（共识形成）的镜像篇，处理主导共核（Dominant Core）的失统与死亡动力。核心命题：共识崩溃的直接动力条件不是异质信息的涌入，而是社会场内部裂解度（Frag）持续上升使共核衰减速率超过积深速率——Decay(Core_S) > CrossCpl_mean · FamOverlap_mean · φ_{F_S}。本文严格区分两种失统路径：Death(Core_S)（δ < θ_dominance，深度绝对衰减）与 DominanceLoss(Core_S)（∃ Core_k: K_k ≥ K_S，相对竞争失败），两者均可使社会场进入多核分裂态但机制不同。本文给出裂解度动力方程 dFrag/dt ∝ CoreParity · [1 − FamOverlap_mean(Core_i, Core_j)] · SubSuppress_mean，识别共识崩溃的三种路径（外部冲击、内部侵蚀、多核竞争正反馈）和 Sub-Core 竞争的三种结局，并证明三条定理：（一）共识崩溃趋向定理；（二）Sub-Core 分裂稳定性定理；（三）旧核残留约束定理（δ_res^C 使完全清零的共识替换不存在）。末尾引向权力场动力学：共识崩溃之后，社会场不会立刻崩散，而是进入多 Sub-Core 争夺续行主导权的竞争态，在某些条件下作用于权力场并触发革命。

Drawing on sedimentation field dynamics, this paper redefines consensus from the aggregation of majority opinions to the manifestation of the Social Co-Nucleus (Core_S) within the social field: Consensus(F_S) = Manifestation(Core_S). The central claim is that consensus and opinion are independent variables — OpinionFlow(T) ↑ does not equal δ(Core_S) ↑; the stability of consensus derives from the historical sedimentation depth δ(Core_S) of the Co-Nucleus, not from the current distribution of opinions; and consensus does not equal the truth-status of content. The paper derives the Co-Nucleus deepening equation dδ(Core_S)/dt ∝ CrossCpl_mean · FamOverlap_mean · φ_{F_S} − Decay(Core_S), establishes that CrossCpl is the driver variable and FamOverlap the state variable (CrossCpl → FamOverlap → δ, forming no circular definition), identifies three structural forms of consensus (explicit strong consensus, implicit strong consensus, explicit weak consensus), and proves three theorems: (1) Consensus Deepening Tendency Theorem — under conditions where CrossCpl persists, FamOverlap does not decline, and decay does not dominate, δ(Core_S) systematically tends to rise; (2) Consensus Does Not Equal Truth-Status Theorem — high δ(Core_S) does not entail content correctness; consensus stability comes from structural depth; (3) Consensus Replacement Threshold Theorem — any information input below T_replace(Core_S) is absorbed by the Co-Nucleus; after consensus fracture, δ_res^C constrains the direction of new consensus formation. The chapter also introduces the concept of Dominant Core layering, providing a structural interface for Social Chapter 9’s consensus collapse.

本文从沉积场动力学出发，将共识从”多数意见的汇聚”重新定义为社会共核（Core_S）在社会场中的显现——Consensus(F_S) = Manifestation(Core_S)。核心命题：共识与舆论是独立变量，OpinionFlow(T) ↑ 不等于 δ(Core_S) ↑；共识的稳定性来自共核的历史沉积深度 δ(Core_S)，不来自意见的当前分布；共识不等于内容的真实性（truth-status）。本文给出共核积深方程 dδ(Core_S)/dt ∝ CrossCpl_mean · FamOverlap_mean · φ_{F_S} − Decay(Core_S)，明确 CrossCpl 为驱动量、FamOverlap 为状态量（CrossCpl → FamOverlap → δ，无循环定义），识别三种共识结构形态（显性强共识、隐性强共识、显性弱共识），并证明三条定理：（一）共识积深趋向定理——在 CrossCpl 持续、FamOverlap 不下降、衰减不过高的条件下，δ(Core_S) 系统性趋向升高；（二）共识不等于真值定理——δ(Core_S) 高不蕴含内容正确，共识稳定性来自结构深度；（三）共识替换阈值定理——低于 T_replace(Core_S) 的任何信息输入都被共核吸收，共识裂解后 δ_res^C 约束新共识方向。本篇还引入”主导共核（Dominant Core）“的层级概念，为社篇第九共识崩溃提供结构接口。

Drawing on sedimentation field dynamics, this paper dissolves the concept of “economy” back into its dynamic substrate, redefining it as the material-path manifestation of the social field’s biased flow structure. The central claim is that economic flow bias (EconFlow) is the systematic bias of social field continuation flows on material paths generated by ΔFamiliarity — wherever a finite social field contains material paths with Familiarity differentials, biased flow systematically tends to appear, regardless of institutional form. The paper derives the complete dynamic equations for economic flow bias (including critical threshold θ_econ ∝ φ_{F_S}/K_{F_S}, stratum linkage equation, and economic suppression effect), identifies three forms of biased flow (path monopoly, geographic concentration, intergenerational solidification), and establishes three theorems: (1) Economic Flow Bias Formation Tendency Theorem — under conditions of Familiarity asymmetry, the system systematically tends toward biased flow concentration; (2) Redistribution Backflow Theorem — redistributive interventions that neither change the Familiarity structure of material paths nor sustain Shock above T_replace systematically tend toward backflow, potentially strengthening the old biased flow when FlowReturn > 0; (3) Technological Path Replacement Theorem — technological ruptures exceeding the replacement threshold can fracture old biased flow structures, but new structures are constrained by old nucleus residuals and systematically tend to re-form. The fundamental path to changing economic flow bias is not redistributing resources but changing the Familiarity structure of material paths. This chapter forms a strict mirror with Social Chapter 6 (Opinion Flow Concentration): OpinionFlow ↔ EconFlow, topic paths ↔ material paths — the same dynamic mechanism unfolding across two different substrates.

本文从沉积场动力学出发，将经济从”资源系统”还原为社会场偏流结构在物质路径上的显现。核心命题：经济偏流（EconFlow）是社会场续行流在物质路径上因 ΔFamiliarity 产生的系统性偏置——只要有限社会场中存在物质路径 Familiarity 差，偏流就系统性趋向于出现，与制度形态无关。本文给出经济偏流的完整动力方程（含临界阈值 θ_econ ∝ φ_{F_S}/K_{F_S}、阶层熟径联动方程、经济压制效应），识别三种偏流形态（路径垄断型、地理集中型、代际固化型），并证明三条定理：（一）经济偏流形成趋向定理——Familiarity 不对称条件下系统性趋向形成偏流集中；（二）再分配回流定理——不改变物质路径 Familiarity 结构且低于替换阈值的再分配干预系统性趋向回流，并在 FlowReturn > 0 的条件下可能强化旧偏流；（三）技术路径替换定理——超过替换阈值的技术断层可裂解旧偏流结构，但新偏流结构受旧核残留约束，系统性趋向重新形成。改变经济偏流的根本路径不是再分配资源数量，而是改变物质路径的 Familiarity 结构。本篇与社篇第六（舆论聚流）形成严格镜像：OpinionFlow ↔ EconFlow，话题路径 ↔ 物质路径，统一动力机制在两个介质上的展开。