Negentropic Value Currency: A Research Program for Re-Anchoring Monetary Value in Net Order Creation

1. Introduction

Where does monetary value come from? Metallism appeals to the scarcity of precious metals; credit theory to sovereign guarantee; the quantity theory to the medium-of-exchange function; cryptocurrencies to algorithmic scarcity. Beneath these different answers lies a common premise, namely that monetary value must rest on some form of scarcity. Scarcity, however, is a negative concept. It creates no order; it merely restricts possession. This paper pursues one question: can the monetary value anchor migrate from scarcity to net order creation? Put differently, can monetary value be grounded in the accounting of objective order increments, and does such a migration survive at the three levels of theoretical coherence, microeconomic incentives, and empirical evidence?

Two developments give the question its urgency. The first is cosmological. The second law of thermodynamics implies that civilization, a dissipative structure, must continuously draw low-entropy resources from its environment in order to persist (Prigogine 1967; Schrödinger 1944); value creation is, at bottom, the ordering process that counteracts entropy. A terminological clarification is in order. Strictly speaking, statistical physics knows no entity called “negentropy,” only entropy-reducing processes and net entropy flows. Throughout this paper the term is used as an abbreviation, after Brillouin (1956), whose precise meaning is “the net increment of systemic order.” The second development is economic. The technology cluster of strong artificial intelligence, controlled nuclear fusion, and atomic manufacturing is pushing the marginal cost of basic material provision toward zero, while value creation migrates into non-material domains: knowledge, ecology, trust, meaning. As the civilizational task shifts from allocating scarcity to creating order, the mismatch of scarcity-anchored money becomes harder to ignore. Global financial assets exceed 400% of GDP, of which less than 10% directly serve the real economy (BIS 2021), and the Bitcoin network consumes more electricity each year than Argentina while producing no order (Cambridge Centre for Alternative Finance 2023).

Our starting point is the value equation W = √(E×T) proposed by Cheng and Cheng (2025), and the framework builds on their Value Consensus Currency (VCC) construction (Cheng 2026). The paper is written in a conditional register from the outset. We distinguish model posits from physical facts, and we go one step further by distinguishing physical quantities from physically inspired accounting conventions. The Eτ and Tτ factors are operationalized through engineering and psychophysical constructs (exergy, ecological entropy debt, flow-state composites) that any party can recompute from public conventions, though the conventions themselves are not belief-free. The Iτ factor depends on a reference distribution that embodies scholarly consensus. The proposed anchor is therefore a two-layer structure in which the lower layer is not free of convention but free of unilateral discretion: independently recomputable under stated conventions, with the residual convention-dependence democratized and audited at the calibration layer (the α-coefficients). Section 15.1 collects the limitations that follow from this design choice.

2. Literature Positioning

2.1. From the Economics of Entropy: Cost Theory and Value Theory

The closest precursor of the negentropic theory of value is the bioeconomics of Georgescu-Roegen (1971), which introduced the second law of thermodynamics into economic analysis and portrayed the economic process as the irreversible dissipation of low-entropy resources. Daly’s (1973) steady-state economy and the exergy accounting of Ayres and Nair (1984) pushed resource measurement toward physical rigor. This paper differs from that tradition in one specific respect. Where the economics of entropy treats entropy production as a cost constraint, a physical limit on growth, we elevate the net increment of order to the ontology of value. The move from “entropy as cost” to “negentropy as value” is the paper’s core conceptual contribution, and it should be read as a conceptual and normative step rather than a consequence of thermodynamics. Thermodynamics constrains which accounting schemes are physically meaningful; it does not select which of them defines value. The valuation strand of ecological economics supplies the closest empirical cousins of the accounting proposed here: the contingent and participatory valuation of ecosystem services (Costanza et al. 2014) already monetizes order stocks that scarcity-based accounts treat as zero, and the present program can be read as an attempt to generalize that precedent from ecosystems to the whole sphere of value creation.

2.2. Promissory Anchors and Their Alternatives

Hayek (1976) and the free-banking school (Selgin and White 1994) anchor value in issuer reputation and redemption promises; Modern Money Theory (Kelton 2020; Wray 2015) identifies the tax-driven mechanics of sovereign money; central bank digital currency research (BIS 2020) retains the sovereign credit anchor. These are promissory anchors: value depends on the stability of subjects’ beliefs, and beliefs can form and dissolve. The collapse of the gold standard, sovereign defaults, and episodes of preference drift all testify to this. The two-layer anchor proposed here differs in structure rather than in kind. Its measurement layer, recomputable order increments under public conventions, depends on no promise; its calibration layer, the α-coefficients, is set through democratic procedure. The stability requirement on belief is thereby reduced from the whole anchor to the calibration layer of the anchor. This is an improvement in robustness, not the disappearance of convention, and we state the point precisely so that the claim cannot be over-read.

2.3. The Scarcity Paradigm and Its Blind Spots

Metallism, the labor theory of value, marginal utility theory, and MMT differ in form yet share one structural feature: the value anchor depends on the stability of collective belief or on discretionary issuance. The macroeconomic costs of scarcity-based money are extensively documented, from credit idling and asset bubbles to ecological overdraft (global ecological footprint at 1.75 times carrying capacity; WWF 2022). Order increments differ in one specific respect. Their measurement layer is publicly recomputable under stated conventions and does not fluctuate with the mood of belief. Recompute-ability, rather than any alleged freedom from convention, is the source of the robustness claimed here.

3. The Negentropic Theory of Value

3.1. Concept

Definition 1 (net order increment). Value is the net increment of systemic order achieved by an open system, through the exchange of energy, matter, and information, within a specific time window: the integral measure of local entropy reduction. The corresponding physical process is one in which the joint entropy production of system and environment is negative (dSjoint = dSsystem + dSenvironment < 0), which is to say that the system net-extracts low entropy from its environment, feeding on negentropy in Schrödinger’s sense.

Definition 2 (negentropic value currency). A currency whose value ontology is the net increment of systemic order, whose unit of value is calibrated by the negentropic action, and whose issuance is anchored to audited negentropic-creation events.

Terminological discipline: “negentropy” means net order increment; “negentropic creation” means human activity producing net entropy reduction; “negentropic value” means the monetized measure of that increment.

3.2. Stratified Connotation

The connotation of negentropic value has three layers. The first is physical maintenance: life care, ecological stewardship, infrastructure operation, the work of holding a system in a living state far from equilibrium and preventing its slide toward thermodynamic equilibrium. The value of care and watchkeeping labor (Folbre 2001) belongs to this baseline layer. The second is productive generation: manufacturing, construction, agriculture, the transformation of disorderly raw materials into functional ordered structures, the value layer of traditional industry. The third is cognitive ascent: scientific discoveries, technological paradigms, knowledge systems. Cognitive creation does not merely produce ordered structures; it produces templates for creating order. Knowledge is the only form of negentropy that can reproduce itself, accumulate across generations, and amplify nonlinearly, and once a theory is established its value lies in the permanent compression of humanity’s cognitive uncertainty about the universe rather than in the exergy it consumed. This third layer, the pivot of civilization utility theory (Section 5), guides the productive layer, which in turn supports the maintenance layer; the three are cumulative rather than substitutive.

3.3. What the Theory Claims, and What It Does Not

To keep the propositions defensible, the boundaries must be drawn first. The theory claims, first, that value creation has observable physical correlates: any act of value creation consumes usable energy, occupies time, and produces information structure. Second, the monetary value anchor can be built on the accounting of net order increments under public, recomputable conventions, and thereby escape dependence on unilateral discretion and open-ended promises. Third, beyond serving as a medium of exchange, a monetary system can perform a civilizational navigation function.

The theory does not claim that value is a purely physical quantity. The value posited here is an ontological assumption, not a physical theorem, and the commensuration of energy, time, and information derives from the logical constraints of axioms and screening criteria, not from conservation laws. Nor does it claim that the measurement layer is convention-free. Exergy efficiency, ecological entropy debt, the flow-state composite, and the reference distribution of Iτ all embed finite conventions; what the architecture eliminates is unilateral discretion over issuance, not convention as such. The two-layer structure is therefore one of democratized convention rather than physics without interpretation. Finally, the theory does not deny the importance of subjective preference. Preferences are fully respected at the market-exchange layer (Section 10.6); the negentropic theory of value constrains the navigation layer of monetary incentives, not the expression layer of preferences.

3.4. Normative Foundations

The sharpest challenge arrives at once: on what grounds should civilization’s meta-objective be order-maximization? Are freedom, happiness, and equality not equally legitimate goals? Our answer rests on a lexicographic hierarchy of goals.

Proposition 1 (priority of survival). Freedom, happiness, and equality are questions of value distribution within a system, and their logical prerequisite is the existence of the system. A civilization that ceases to maintain its own order disintegrates thermodynamically, and all second-order goals lose their bearer at the same moment. Writing P(N) for the survival probability of civilization as a function of its order stock N, survival requires the net negentropy flow to remain above a critical value; below it, P(N) → 0. The expected realization of any second-order goal equals P(N) multiplied by its level, so any rational civilizational planning must treat N ≥ Ncritical as a hard constraint. This ordering does not belittle second-order goals. It installs them at the correct logical location: they operate at the policy layer (α-weights, UBI design, tax design), while the order objective operates at the constitutional layer. The two stand in the relation of constraint and optimization, not of competition.

Proposition 2 (self-support). The nihilist challenge (“why survive at all?”) dissolves in reflective equilibrium: any value judgment presupposes the existence of a judging subject, and judging subjects presuppose ordered structures. “Maintain and expand order” is thus the minimal postulate that does not beg the question, since rejecting it dissolves the very possibility of asking. Its epistemic status should be stated with care. This is a transcendental-pragmatic consistency argument, not an empirical hypothesis, and we make no Popperian falsifiability claim for it. The associated historical conjecture, that civilizations adopting net-negentropy-depleting paths tend to perish, is a probabilistic claim to be weighed against history, not a testable prediction in the strict sense.

Proposition 3 (incompleteness of alternatives). Competing meta-objectives are incomplete when pursued on their own. Freedom-maximization without the survival constraint dissolves the material basis of social cooperation; happiness-maximization without order-accumulation degenerates into fleeting consumption; equality-maximization without a growth engine reduces to the equalization of poverty. Each must be embedded within the hard constraint of survival-order in order to be achievable. Order-maximization is not one good among many but the physical precondition of all other goods, dominant at the meta-level rather than competitive at the same level.

3.5. Replies to Five Counter-Positions

Reply 1 (subjective value theory). Subjective utility explains exchange ratios within a given institutional framework, but it struggles to anchor the unit of account itself: in the post-marginal-revolution framework utility is ordinal, and an ordinal system provides no natural cardinal accounting anchor. Mises’ regression theorem supplies an auxiliary historical-evolutionary perspective here; we cite it as supporting argument, not as decisive proof, since modern institutions can of course create accounting units by design. Our claim is comparative, namely that a recomputable order anchor is more robust to discretionary drift than the available alternatives. Subjective preference and negentropic value operate at different levels: the former answers what people want, the latter what deserves to be rewarded by the monetary incentive layer if civilization is to persist.

Reply 2 (labor theory of value). The core insight of the labor theory, that value derives from the process of creation rather than from things, is retained. Its fatal defect, the incommensurability of heterogeneous labor, is addressed by the net order scale, on which physical, cognitive, emotional, and care labor become comparable and aggregable, with the comparability resting on public measurement conventions rather than on a physical theorem.

Reply 3 (state credit theory). Sovereign credit is endogenous to the production and energy base; a sovereign whose fiscal capacity is exhausted, as the history of hyperinflations shows, is an anchor that fails. The order anchor grounds monetary value in publicly recomputable physical accounting rather than in political promises.

Reply 4 (algorithmic scarcity). Algorithmic scarcity is manufactured scarcity. Proof-of-work consumes enormous energy while producing no order (Iτ ≈ 0, χ ≈ 0, hence Wτ ≈ 0), so crypto-mining automatically loses monetary-issuance qualification under the proposed system.

Reply 5 (nihilism). See Proposition 2. Taken together, the five replies show that the negentropic theory of value excludes no other value dimension; it supplies the precondition of survival and a common measuring scale. Its posited status is declared openly, and its empirical consequences are open to testing. This is the maximum rigor available to it.

4. Derivation of the Negentropic Value Equation

4.1. Axioms and Screening Criteria

The Cheng equation W = √(E×T), developed from the connotative-value formulation of Cheng and Cheng (2020), rests on two axioms. Axiom 1 (cost necessity): any value creation consumes energy and occupies time. Axiom 2 (orderliness): the core attribute of value is the net elevation of systemic order. Axioms alone do not determine a functional form, and four screening criteria are added: the necessity chain (value approaches zero as any factor approaches zero); dimensional compatibility (which excludes arithmetic and harmonic means); scale-invariance, f(λE, λT, I) = λf(E, T, I); and diminishing marginal returns. The most general family satisfying all four criteria is the power-function form

Wτ = k·Eτa·Tτb·Iτc, 0 < a, b, c < 1

with the equal-exponent case a = b = c = 1/2 as benchmark. The benchmark gives symmetric exponents to the two dimensional core factors, comparable elasticity contributions at typical scales of the normalized Iτ ∈ [0,1], and a square-root law that preserves recognition of stepwise increases in Iτ such as paradigm transitions. Strict uniqueness is unattainable, and the exponents are best understood as degrees of calibration freedom to be estimated from CRN historical data.

4.2. Operationalization of the Three Factors

Eτ (net negentropy flow input):

Eτ = ηex·Ephysical − T0·ΔSeco, 0 < ηex ≤ 1

Exergy is the carrier of ordering potential, and a positive net Eτ is the condition of accounting entry. Two clarifications matter for physical consistency. First, ηex is a second-law (exergy) efficiency, bounded above by unity in all cases without exception. The advantage of renewable sources enters not through an efficiency above one, which would violate the second law and undercut the very physical foundation the paper claims, but through a near-zero ecological entropy debt T0·ΔSeco, the cumulative climate and ecosystem damage of the source expressed in entropy units. Second, the debt term itself must be estimated under public conventions. It is convention-dependent, publicly recomputable, and auditable, and we classify it as such rather than as a raw physical quantity. Clean and polluting sources are thereby priced differently at the source of value: by physical law for the efficiency component, by audited convention for the debt component.

Tτ (non-equilibrium maintenance time):

Tτ = ∫ (||∇S||/||∇S||max)·χ·dt

Here χ is a flow-state composite index built from EEG α/β/γ power ratios, heart-rate variability, eye-tracking concentration, and behavioral logs (Csikszentmihalyi 1990; Nakamura and Csikszentmihalyi 2014). The maintenance-order contribution of care labor becomes measurable in principle on this construction. High-frequency trading has χ ≈ 0 and ||∇S|| ≈ 0, hence Tτ ≈ 0. This is an operationalized empirical proposition resting on psychophysical measurement conventions, and we present it as such rather than as a purely physical measurement.

Iτ (structural information gain):

Iτ = [DKL(pinitial||pref) − DKL(pfinal||pref)] / Href

Iτ measures, in the Shannon (1948) sense of information content, the reduction in KL divergence (Kullback and Leibler 1951) relative to the empirical distribution of the field’s accepted knowledge base, the negative of Bayesian surprise (Itti and Baldi 2009). Residual dependence on the reference distribution is examined through cross-corpus sensitivity analysis, and cross-civilizational application requires reference-distribution calibration. The implication for the anchor claim should be faced squarely: Iτ is convention-dependent through pref, so the physical layer of the two-layer anchor is genuinely physical only for the Eτ component and partially for Tτ. The information component is an intersubjectively stabilized convention. The robustness claim of the architecture is accordingly the modest one stated in Section 2.2: elimination of unilateral discretion, with democratized convention, not elimination of convention itself.

4.3. Notation and Dimensional Remarks

Define the negentropic action Vτ ≡ Wτ² = Eτ·Tτ·Iτ, in loose terms the total “ordering work” embodied in an activity, combining its energy input, its duration of directed intervention, and its informational gain. Its dimension is J·s, the dimension of action in physics, and Wτ = √Vτ is the concave-transform value scale that yields diminishing returns. The dimensional coincidence serves as a consistency check on the algebra, nothing more: dimensional homogeneity is a necessary condition for physical grounding, not a sufficient one, and the equation is grounded axiomatically and normatively (Section 3) with empirical content to be tested (Section 5, Section 12 and Section 14), never by dimension alone. Algorithmic information (Kolmogorov 1965) offers an alternative operationalization of the informational factor that we do not adopt here, since the KL-reduction form connects directly to the reference-distribution architecture of Section 11.

Table 1. Notation of the negentropic value equation.

Symbol	Name	Thermodynamic/informational meaning	Economic meaning
Ephysical	Physical energy	Total energy input	Production energy consumption
ηex	Exergy efficiency	Orderly share of energy (0 < ηex ≤ 1)	Energy grade (bounded)
T0·ΔSeco	Ecological entropy debt	Cumulative climate/ecosystem damage	Externality internalization
Ecognitive·ηneural	Cognitive energy	Neural exergy conversion efficiency	Effective mental labor energy
||∇S||	Non-equilibrium gradient	Degree of deviation from equilibrium	Ordering potential
χ	Flow index	Directed intensity of intervention	Effective labor intensity
Iτ	Structural information gain	Entropy reduction relative to reference	Creativity and knowledge contribution
Vτ	Negentropic action	Eτ·Tτ·Iτ (J·s)	Aggregate value base
Wτ	Negentropic value	√Vτ	Monetary value scale

Table 1. Notation of the negentropic value equation.

Symbol	Name	Thermodynamic/informational meaning	Economic meaning
Ephysical	Physical energy	Total energy input	Production energy consumption
ηex	Exergy efficiency	Orderly share of energy (0 < ηex ≤ 1)	Energy grade (bounded)
T0·ΔSeco	Ecological entropy debt	Cumulative climate/ecosystem damage	Externality internalization
Ecognitive·ηneural	Cognitive energy	Neural exergy conversion efficiency	Effective mental labor energy
||∇S||	Non-equilibrium gradient	Degree of deviation from equilibrium	Ordering potential
χ	Flow index	Directed intensity of intervention	Effective labor intensity
Iτ	Structural information gain	Entropy reduction relative to reference	Creativity and knowledge contribution
Vτ	Negentropic action	Eτ·Tτ·Iτ (J·s)	Aggregate value base
Wτ	Negentropic value	√Vτ	Monetary value scale

5. Civilization Utility Theory

5.1. The Civilization Utility Equation

ΔCUτ = λτ·ln(1 + Wτ/W0), CU = Σ_{τ=t}T βτ−t·ΔCUτ, β = 1/(1+ρ)

The logarithmic form delivers monotonicity with diminishing marginal returns, in line with the utility-equation approach of Cheng and Cheng (2023), it also corrects the reciprocal form of earlier versions, which conflated utility level with marginal utility. The discount factor follows the Ramsey rule. With β = 0.95, a century-ahead generation would receive a weight of 0.006, contradicting the intergenerational-equity postulate, so the benchmark adopts the Stern value ρ ≈ 0.1% (β ≈ 0.999), and any policy simulation must report sensitivity over ρ ∈ [0.1%, 2%]. The choice between Stern (2006) and Nordhaus (2007) discounting is itself normatively loaded, a point that returns in Proposition 4.

5.2. Truth Mastery as Directional Goal

Definition 3 (truth mastery, heuristic construct). Θ(t) denotes the cumulative reduction of DKL(pbelief,t || pnature), the KL divergence between humanity’s belief distribution and the true structure of nature, understood as the gradual convergence of human knowledge toward the actual workings of the universe. Since pnature is not directly observable and scientific models are only its successive approximations, Θ(t) is a directional conceptual model rather than a measurable economic variable, and it must not be conflated with Eτ, Tτ, or Iτ. Its role is to anchor the cognitive dimension of civilization utility conceptually, not to serve as an accounting variable.

Proposition 4 (asymptotic dominance of the cognitive term, conditional). Suppose knowledge growth follows a geometric law, Θ(t) ~ egt with g > 0, a stage-wise regularity of the history of science rather than a historical necessity; and suppose g > ρ, so that the discounted sum of the truth term grows without bound while the material term, entering through the logarithm, remains bounded. Then there exists a horizon T* beyond which the cognitive term dominates increments of CU, and civilization negentropy maximization becomes asymptotically equivalent to the fastest feasible path of truth mastery. The proposition is doubly conditional. It fails if science enters a stagnation era, and it fails under discount rates ρ ≥ g, a real tension with the descriptive discounting literature (Nordhaus 2007). We therefore present it as a directional argument under an explicitly normative low-discounting premise, not as a law of necessity.

Corollary (cognitivization of the monetary function). Under the same conditions, the meta-mission of the monetary system is to maximize the rate of knowledge production. This is the utility-theoretic ground for assigning basic research its highest α in CPPA: its current-period Wτ is small, but the discounted sum of its truth contribution dominates the asymptotic expansion. Together with Proposition 8 (risk compensation) it forms the dual foundation of high α for basic research.

5.3. Assessing Individual Truths

Because Θ(t) as a whole is not directly measurable, we propose a per-truth accounting path. For each cosmic truth mastered, its transmitted contribution to humanity’s negentropy acquisition is assessed by the counterfactual-worlds method: construct a parallel world without that theory and compare order stocks, ΔNj = ∫ [Wactual(t) − Wcounterfactual(t)] dt, transmitted through the chain truth → technology → efficiency, output, and survival gains.

Example A (relativity). Relativity → satellite clock correction (GPS clocks drift ≈ 38 μs/day, which if uncorrected would produce navigation errors of ≈ 10 km/day) → precision agriculture with variable-rate seeding and autonomous machinery, global logistics optimization, and timed financial networks. Counterfactual estimates place relativity’s direct economic contribution in the tens of billions of dollars annually, with precision dividends still compounding.

Example B (quantum mechanics). Quantum theory → transistors, semiconductors, lasers, MRI, atomic clocks. Estimates attribute 25–35% of advanced-economy GDP to semiconductor and laser-related industries; without quantum mechanics the order stock of the information civilization would shrink by roughly one third.

Example C (germ theory). The Pasteur–Koch theory → vaccines and antibiotics → human life expectancy rising from 40 to 73 years. Each additional year of global working life adds an effective Tτ stock of roughly 5×10⁹ people × 2,000 hours per year, a truth-level amplifier of the T dimension.

Methodological status: the per-truth ΔNj are approximate estimates, since the counterfactual world cannot be truly constructed and the method relies on inference from technology and economic history. Every link, however, carries an auditable transmission-evidence chain, which makes the path a bridge from a non-measurable Θ(t) to one that is approachable truth by truth.

5.4. Falsifiable Propositions

H4 (accountability of truth contributions). The counterfactually estimated negentropy contributions ΔNj of front-rank scientific theories correlate significantly with their subsequent patent clusters, industrial value added, and life-expectancy gains. Counterfactual thought experiments cannot be observed directly, so H4 functions as a case-assessment tool for major theories rather than a large-sample statistical test; its evidential form is deep case chains, not regression coefficients. Falsification condition: if the ΔNj estimates of most front-rank theories decouple severely from their actual technological derivatives, the per-truth accounting path fails. Test path: systematic counterfactual accounting of the ten great physical theories of the twentieth century, cross-validated against cliometric data.

Case-quality checklist. Evidence for H4 must satisfy five criteria: (1) auditable transmission chain, with independent historical or engineering evidence at every link; (2) counterfactual conservatism, crediting no contribution to substitute technologies that would plausibly have emerged anyway, with all assumptions listed and reverse-scenario-tested; (3) triangulation across at least two independent data types; (4) interval reporting, with interval width reflecting counterfactual uncertainty; (5) double-background peer review, one reviewer in the history of science and one in economics. Cases failing criteria (1)–(3) do not enter the H4 test.

A minimal illustration may fix ideas. Consider the polymerase chain reaction (PCR). Link 1 (transmission): the theoretical chain from DNA structure discovery to thermostable-polymerase engineering is documented in the Nobel citation and the laboratory record, satisfying criterion (1). Link 2 (counterfactual conservatism): had PCR not emerged, thermally cycled cloning would have remained slower and costlier, but substitute amplification methods existed by the late 1980s; the counterfactual therefore credits PCR only with the cost differential and the time advantage, an explicitly conservative treatment. Link 3 (triangulation): the value interval is cross-checked against (a) the size of the molecular-diagnostics and forensic-testing industries and (b) citations and diffusion data in clinical guidelines. Reporting takes the form of an interval, say ΔNPCR ∈ [a, b], whose width reflects the uncertainty over substitute technologies. The case then proceeds to double-background review. Larger cases (relativity, quantum mechanics) follow the same protocol with longer chains.

H5 (dynamic cognitive-weight proposition). In CPPA simulations, as material scarcity relaxes, the α-weight on basic research under civilization-utility maximization should rise continuously. Falsification condition: if the optimal basic-research α fails to rise under continuously relaxing scarcity, the dynamic version of the dominance proposition is weakened. Test path: long-horizon ABM embedding Proposition 4.

5.5. Co-Evolution of Civilization and Individuals

At the individual level, the accumulation of five-dimensional life capital (physiological, cognitive, emotional-relational, ethical-meaning, civilizational-action), forms of capital whose economic payoff is documented in the social-capital literature (Knack and Keefer 1997), is the order increment of the individual system, and the VCC system guides individuals toward high-return domains of that capital through the α-coefficients, a transformation from possessive economic man toward creative civilizational man. At the civilization level, four transitions unfold: competitive civilization (stock games), creative civilization (incremental cooperation), flourishing civilization (post-scarcity abundance), and truth civilization (systematic expansion of the cognitive frontier). Individual upgrading and civilizational transition are cause and effect of each other, a bidirectional positive feedback forming the twin engines of civilizational ascension. The CPPA loop closes the system: CRN measures Wτ and ΔΘ (where value comes from); the civilization utility equation sets the CU objective (where value goes, asymptotically toward truth mastery); CPPA couples monetary issuance through Pτ = ατ×Wτ (how to incentivize).

6. Static Microfoundations and the Conditional Decentralization Result

The economy is a continuum of agents of measure one. Agent heterogeneity is captured by creative capacity θi and time endowment L̄. There is a set of activities j = 1,…,J; agent i’s effort lji in activity j produces Wji = θi·gj(lji) with gj′ > 0 and gj″ < 0. The consensus coefficient of activity j is αj, income is yi = Σj αjWji, and the effort cost c(Σj lji) satisfies c′ > 0, c″ > 0.

The agent solves max Ui = u(yi) − c(Σj lji), while the social planner chooses a configuration to maximize weighted social utility. One assumption, left implicit in earlier versions, must now be made explicit:

Assumption A6 (quasi-linearity over the relevant range). The utility u is linear in income (u′ ≡ 1 after normalization) for all agents, so that income effects on effort allocation are absent. The assumption is strong, and the cost of relaxing it is known. With strictly concave u and heterogeneous incomes, the marginal utility of income u′(yi) differs across agents, and no single αj can align every agent’s first-order condition with the planner’s at once; alignment then requires agent-specific transfers or the nonlinear correction α̃ij = αj/u′(yi). We leave this extension to future work and flag it again in Section 15.1.

Proposition 6a (existence). Under continuity–concavity of u, strict convexity of c, continuity–concavity of gj, and a nonempty compact feasible set, both problems have solutions. The feasible set is weakly compact and convex in a finite-dimensional Banach space, the objective is upper semicontinuous in the weak topology, and a maximum exists by the Weierstrass extreme-value theorem; individual existence follows from the Berge maximum theorem.

Proposition 6b (uniqueness). If u is strictly concave, or c strictly convex, the optimal configuration is unique almost everywhere. Suppose otherwise that two distinct optima exist; their strict convex combination yields strictly higher expected utility, a contradiction.

[Conditional reminder] The results in this section rest on two premises throughout: the lexicographic normative premise of Section 3 is accepted, and CRN measurement bias sits at its endogenous-efficiency-equilibrium level (Section 10.1). Failure of either premise weakens the conclusions accordingly.

Proposition 6c (conditional decentralization of the planner’s optimum). Let αj* be the shadow price of activity j’s output in the planner’s problem. Under Assumption A6, if αj = αj* for all j, the decentralized equilibrium configuration coincides with the social optimum. Proof: under A6 the planner’s first-order condition reads αj*·θi·gj′(lji*) = c′, and the agent’s reads αj·θi·gj′·u′(yi) = αj·θi·gj′ = c′. Setting αj = αj* makes the two systems identical, and by Proposition 6b the solutions coincide. Q.E.D.

The scope of this proposition deserves a candid statement. It is neither a spontaneous-order theorem nor an analogue of the First Welfare Theorem. Structurally, it restates the standard result that Pigouvian shadow prices, once implemented as income coefficients, decentralize the planner’s optimum (Arrow and Debreu 1954; Debreu 1959). Whatever is novel in this paper lies upstream of that result: the CRN measurement layer (Section 11) supplies observable shadow-price signals for activities that market prices leave unmeasured, among them basic research, care work, open source production, and ecosystem restoration. The proposition formalizes the VCC claim that micro-incentives can be unified with the macro-mission; the measurability program, rather than the decentralization logic, is the contribution.

Proposition 6d (welfare-loss bound). Suppose CU(α) is C³ and strictly concave in a neighborhood of an interior optimum α*, so that ∇CU(α*) = 0. A second-order Taylor expansion gives, for the calibration error ε ≡ α − α*,

CU(α* + ε) − CU(α*) = ½·Σj εj²·(∂²CU/∂αj²)|α* + O(||ε||³)

Defining Λj ≡ −(∂²CU/∂αj²)|α* ≥ 0 by concavity, the welfare loss satisfies ΔCUloss ≤ ½·Σj εj²·Λj + O(||ε||³). Calibration error is therefore locally a quadratic form: small deviations are cheap, which licenses gradual pilots; large deviations become rapidly costly, which gives the α-protection mechanism its urgency; and activities with high Λj demand the greatest calibration precision. This yields CPPA’s operational objective, namely to minimize Σj εj²Λj each period. The bound is local by construction, and its global use requires the stated smoothness and interiority conditions; in practice Λj can be estimated from the ABM simulator’s response surface.

Two reference points locate the argument. Relative to the First Welfare Theorem, the α here is not a market-clearing price but an algorithmically calibrated consensus coefficient, and negentropic creation carries intertemporal spillovers, so FWT does not apply directly. Relative to Greenwald and Stiglitz (1986), the paper is a structural repair of precisely the failure they identified: CRN converts unobservable value creation into verifiable data flows and thereby compresses the information asymmetry that makes market allocations constrained-inefficient. Once measurement is repaired, α-calibration moves the economy toward the efficiency frontier. The framing suggests a third category beside market failure and government failure, namely measurement-infrastructure failure, on the hypothesis that both classical failures share a common root in the non-measurability of large classes of value creation. We offer this as a research hypothesis rather than an established doctrine.

7. Life-Cycle Dynamics: Learning Effects and Uncertainty

θi,middle = θi,youth·(1 + δe·le,i), δe > 0

The demographic structure is a three-period OLG model in the tradition of Diamond (1965): youth (education), middle age (negentropic creation), and old age (consumption). Proposition 7: g ≈ δe·(le/L̄)·(output share of high-α activities). Higher educational investment raises capacity accumulation and growth, and a high α on knowledge-intensive activities generates intergenerational growth dividends through θ-accumulation. The learning parameter δe is at present a theoretical magnitude; its micro-estimation belongs to the future agenda.

αj·E[Wj] ≥ αsafe·Wsafe + (γ/2)·αj²·Var(Wj)

Proposition 8 (risk-compensating α). Risky activities command a risk premium πj = (γ/2)·αj·Var(Wj)/E[Wj]. The CPPA range α = 3.0–4.0 for basic research, where the success probability is roughly p ≈ 0.05–0.3, is an endogenous requirement of risk compensation rather than a political preference.

Proposition 9 (dynamic negentropy proposition). When αj,t equals shadow prices and θ-accumulation is endogenous, the decentralized equilibrium path attains the planner’s optimum. The argument applies Proposition 6c to each static sub-problem and adjoins the accumulation law, value-function concavity, and a transversality condition. It supplies the intergenerational-efficiency foundation of the Civilization Time Bank.

8. General Equilibrium: Endogenizing α

The full system is a fixed-point problem α = Φ(α): individual reaction functions aggregate into the labor-allocation map, quadratic voting aggregates preference distributions into Θ(t), and CPPA maps Θ(t) into α.

Proposition 10 (existence). Under continuity of the constituent maps and a compact convex range, an equilibrium α* exists. Φ is an upper-hemicontinuous, convex-valued correspondence on a compact convex set, and the Kakutani fixed-point theorem applies.

Proposition 11 (uniqueness and stability). If labor-supply responses to α are strictly monotone, which strict convexity of c guarantees, and if QV aggregation satisfies the monotone likelihood-ratio property, then α* is unique. Under the error-correction rule Θ(t+1) = Θ(t) + η·(shadow-price estimate − α(t)), the system is locally asymptotically stable: the Lyapunov function V = Σj(αj − αj*)²Λj decreases along the adjustment path, which follows from the quadratic structure of Proposition 6d. The Lyapunov function coincides with CPPA’s optimization objective, so the calibration rule is at once optimal and stable. Both uniqueness and stability rest on strong assumptions, and the next paragraphs trace what happens when they fail.

Scenario 1 (QV monotone likelihood ratio fails). Multimodal preference clustering turns the aggregation map Γ set-valued, and the fixed-point system may admit multiple equilibria sustained by coalition expectations. The welfare-loss bound survives, being a local property, but global optimality is no longer guaranteed. The institutional remedy is the mechanical randomness of sortition citizens’ assemblies, which breaks preference clusters by construction.

Scenario 2 (non-monotone labor supply). If learning effects bend an activity’s labor-supply curve backward, the reaction map φ ceases to be monotone and stable manifolds may split into periodic orbits, so α-adjustment oscillates. Proposition 11’s asymptotic stability degrades to bounded oscillation, the oscillation amplitude becomes an additional variance source for εj, and the quadratic welfare-loss structure makes the cost grow with the square of the amplitude. Conservative adjustment steps η are the quantitative response.

Scenario 3 (capture parameter-domain violation). If lobbying costs collapse or supervision fails, the capture equilibrium re-emerges and εj becomes systematic bias rather than zero-mean noise. Losses then accumulate as Σ εj²Λj, and persistent divergence between λτ and α serves as the early-warning signal for AEAC emergency review.

Across the three scenarios, assumption failure degrades the system into a diagnosable, warnable, and intervenable condition rather than destroying it, which is the practical meaning of the scenario analysis.

9. Application Examples: The Value-Discriminating Function of the Equation

Let the benchmark per-capita annual negentropy output be W0 = 5×10⁷ √(J·s). All examples are computed from the benchmark equation Wτ = √(Eτ·Tτ·Iτ) with the parameters stated in each example, so that every figure can be reproduced from the stated inputs. [Conditional reminder] The discriminating structures below are corollaries of the lexicographic premise: a “value vacuum” (Wτ → 0) means that the monetary incentive system offers no reward, not that the activity should be prohibited.

Example 1: fundamental theoretical breakthrough. Eτ = 4.3×10⁹ J, Tτ = 1.2×10⁷ s, Iτ = 0.95. Then Wτ = √(4.3×10⁹ × 1.2×10⁷ × 0.95) ≈ 2.2×10⁸ √(J·s) ≈ 4.4W0. The extraordinary value is carried by Iτ; creative value is a direct manifestation of the informational dimension, and its discounted truth contribution exceeds the current-period Wτ by Proposition 4.

Example 2: care labor. Eτ = 5×10⁷ J, Tτ = 4×10⁶ s (χ ≈ 0.5 with ||∇S|| persistently significant), Iτ = 0.25. Then Wτ ≈ 7.1×10⁶ √(J·s) ≈ 0.14W0. Labor that market GDP renders invisible receives a definite accounting measure, and the implied care-to-physicist value ratio, roughly 1:31, follows from the stated physical quantities rather than from any political assignment.

Example 3: open-source database core module. Eτ = 4×10⁸ J, Tτ = 2×10⁶ s, Iτ = 0.80, giving Wτ ≈ 2.5×10⁷ √(J·s) ≈ 0.51W0. The free-rider dilemma of knowledge public goods is structurally mitigated once the informational dimension enters the accounting.

Example 4: solar versus coal generation (10⁹ J each). Under Section 4.2 both sources obey 0 < ηex ≤ 1, and the discrimination enters through the ecological entropy debt. Solar: ηex = 0.30, the second-law efficiency of photovoltaics, with T0ΔSeco ≈ 0, so Eτ = 0.30×10⁹ J. Coal: ηex = 0.55, a high conversion efficiency, but with a cumulative ecological entropy debt T0ΔSeco = 0.35×10⁹ J, so Eτ = 0.20×10⁹ J. With Tτ and Iτ equal across the two, Wτ is proportional to √Eτ, and Wτ,solar/Wτ,coal = √(0.30/0.20) ≈ 1.22; equivalently, coal’s value output runs about 33% below solar’s at equal generation. Carbon costs are internalized ex ante through the audited entropy debt, complementing rather than replacing carbon taxation.

Example 5: high-frequency trading. Eτ = 8×10⁸ J, but χ ≈ 0, ||∇S|| ≈ 0, and Iτ ≈ 0, so Wτ → 0. The criterion discriminates rather than negates: financial activities that supply price-discovery information structures or risk management earn nonzero Iτ and remain in the accounting.

Example 6: wetland ecological restoration. Eτ = 3.3×10⁸ J, Tτ = 5×10⁶ s, Iτ = 0.85 (diversity index rising from 0.3 to 0.75), giving Wτ ≈ 3.7×10⁷ √(J·s) ≈ 0.75W0. Ecosystem services become measurable as structural entropy reduction.

Example 7: machine-tool manufacturing. Eτ = 5.6×10⁸ J, Tτ = 1×10⁶ s, Iτ = 0.45, giving Wτ ≈ 1.6×10⁷ √(J·s) ≈ 0.32W0. Manufacturing value is contributed by all three factors in balance, though at the stated scales it sits below the per-capita benchmark. The result illustrates the equation’s discrimination among production modes rather than any privilege of manufacturing by default.

Three features of Table 2 deserve notice. Value sources are highly differentiated, which answers the classical problem of heterogeneous-labor commensuration on the basis of public measurement conventions. The blind spots of traditional metrics (care, open source, ecology) come into view, and together they exceed manufacturing in aggregate. Value vacua are identified by the accounting rule rather than politically decreed. Cross-example ratios depend on the stated parameter settings; the claim concerns the discriminating structure, not any specific ratio.

10. Mechanism Design: Incentive Compatibility, Measurement Cost, and Defense

10.1. Endogenizing Measurement Cost

Cm′(K*) = |∂CU/∂σ²|·|dσ²/dK|

Optimal audit intensity equates the marginal audit cost to the marginal welfare benefit of reduced measurement error. Measurement is not free, and the theorem’s validity condition must be restated accordingly: what is required is CRN bias at the endogenous-efficiency-equilibrium level, not the stronger and unrealistic requirement of zero bias. The same condition prices CRN’s budget.

10.2. The CPPA Iterative Algorithm

αj(t+1) = αj(t) − η(t)·[αj(t) − α̂j*(t)], Ση(t)=∞, Ση²(t)<∞

Under the Robbins–Monro (1951) conditions the algorithm converges to a neighborhood of α* with probability one in the presence of measurement noise. In implementation the ABM simulator generates shadow-price estimates α̂* each period, while real-time λτ and Wτ data trigger calibration quarterly; decoupling adjustment frequency from data-update frequency guards against noise-driven overreaction.

10.3. Manipulation Cost

An attacker inflating Wτ at manipulation intensity q faces a success probability P(q,K) that decreases convexly in audit intensity K and a cost C(q) increasing convexly. Expected profit is E[π] = P(q,K)·q·W·α − C(q) − r·(1−P(q,K))·M. When the stake M ≥ W·α/r, deterrence covers the gains even at high P(0,K). In the CRN baseline parameter domain (three-level audit pass-rate product ≤ 10-³, 100% staking, r = 1), expected manipulation profit is strictly negative.

10.4. Elite-Capture Game

s* = argmax [ρ(d)·R(s) − s], d* = argmax [(1−ρ(s))·ΔW − d]

Multiple independent checks (staggered AEAC terms, random mutual audit, citizen petition, and QV) raise capture costs and flatten ∂ρ/∂s until the optimal lobbying effort s* approaches zero, making capture uneconomic within a declared parameter domain. Out-of-domain risks are listed in Section 15.1.

10.5. Wealth Influence in Quadratic Voting

The standard criticism of quadratic voting (Lalley and Weyl 2018; Weyl 2017) is that quadratic costs admit wealth into voting power. The mitigation distributes voting credits equally per capita, makes them non-transferable, and grants a free base allowance, with quadratic pricing applying only to purchases beyond the base and a public fund subsidizing expression allowances for low-income citizens. The mechanism reverts to one base credit per person plus voluntary top-ups, confining wealth influence to the marginal purchase layer.

10.6. Expression Layer and Navigation Layer

A familiar objection runs as follows: humanity treasures many things that add little systemic order (entertainment, symbolic luxury, pure pastime), and the willingness to pay for them is real. The two-layer structure is designed to absorb this objection. Subjective preferences are fully respected at the expression layer: willingness to pay for entertainment enters through λτ, and CPPA’s consensus generation includes the public’s weighting of diverse ways of life, so the entertainment industry’s α need not be zero and is set democratically. Preferences are calibrated, not overruled, at the navigation layer: the monetary system’s meta-mission of civilizational survival and truth mastery (Section 3 and Section 5) depends on net order increments, and this is a response to the collective-action problem rather than a denial of individual preference, since the aggregate of individually rational choices can be civilizational-scale irrationality (the fallacy of composition). Precedent exists: subjective value theory never held that whatever people want should receive equivalent monetary-issuance rewards, and both central-bank asset-bubble suppression and tobacco taxation respect preferences while declining to reward them through the monetary system. The proposal codifies this intuition by separating the channel of preference expression (the market) from the channel of civilizational navigation (α): the former free, the latter calibrated.

11. The CRN Blueprint: From Research Program to Engineering Design

CRN is a forward-looking research program for technological infrastructure. Its measurement layer (large-scale flow-state sensing, cognitive-exergy metering, cross-domain knowledge graphs) depends on sensing and AI technologies that are not yet mature, and we make no claim of present-day deployability. What we claim is that the architecture is engineering-deducible and that every measurement convention it requires is publicly documentable and auditable in principle.

11.1. Four-Layer Closed Loop

L1 (perception): Eτ through the device–compute–energy IoT metering model plus information-complexity energy-equivalence; Tτ through multimodal biosensing with behavioral-log cross-validation and zero-knowledge proofs (raw data remain local and only existence proofs are uploaded, data usable but not visible); Iτ through domain-specific indicator systems with Cronbach α ≥ 0.8 internal consistency and historical-benchmark external cross-validation, where a 15% deviation triggers review; and post-quantification synergy validation (T–I correlation ≥ 0.7) against single-factor manipulation. L2 (audit): rule-based first-pass, cross-source validation, and interpretive-community review by peers, stakeholders, and ethicists, reinforced by stake-and-penalty game mechanics. L3 (α computation): a five-module algorithm (attribute extraction, dimension mapping, weight fusion, dynamic calibration, verification and audit), confirmed by at least five independent node clusters under Byzantine fault tolerance and written to the chain. L4 (incentive): smart contracts execute VCC = W×α; the macro-smoothing coefficient ks (0.95–0.98) buffers issuance; and feedback drives periodic parameter optimization, making the system a learning system.

11.2. End-to-End Demonstration: The Global Brain Science Program

In the demonstration, L1 collects green-power server energy and itemized metering of fMRI, EEG, and optogenetics rigs, computes flow-time via trusted-execution-environment privacy computing, and quantifies Iτ for theoretical models. L2 cross-validates energy reports against laboratory logs, with interpretive-community review of narrative consistency for high-controversy results such as theories of consciousness. L3 maps attributes to S = 0.95, E+ = 0.97, C = 0.90, U = 0.85 and reaches a consensus α = 0.95; basic research enters the above-0.9 regime because its output flows across regions and generations and creates sustained civilizational-scale ordering effects whose consensus base transcends market-interest bargaining. L4 disburses VCC = W×α to institutions, researchers, and infrastructure providers by weight (theoretical breakthroughs by Iτ, technical solutions by Tτ, hardware by Eτ), closing a negentropy creation–value return–re-creation cycle. The illustrative values of S, E+, C, and U are calibration placeholders pending the estimation procedure of Section 10.2 rather than empirically established magnitudes.

12. Empirical Evidence

12.1. Cross-Country Regression (Component-Level Evidence)

The data are the World Development Indicators for 40 major economies over 2010–2019. The variables are R&D expenditure as a share of GDP (a proxy for the I-dimension input; Coe and Helpman 1995), GDP per capita, resident patent applications, and population; ten-year country means form the cross-section, and the dependent variable is log patent density (patents per million people; Griliches 1979). t-statistics are heteroskedasticity-robust, so for single-regressor models R² need not equal t²/(t² + df) exactly; the table should be read with this reconciliation note. Whatever the results, this evidence alone can neither confirm nor falsify the value posits, and interpretation is confined to the component-correlation level.

Table 3. Cross-country regressions (dependent variable: log patent density).

Model	Regressors	R²	Key coefficients (t, p)
M1	ln GDP per capita	0.699	1.527 (10.7, 2e-12)
M2	NE composite score	0.223	0.650 (3.3, 0.002)
M3	NE + ln GDP per capita	0.724	NE: 0.270 (1.6, 0.12); GDP: 1.216 (5.2, 6e-6)
M4	ln R&D intensity	0.790	2.135 (13.4, 3e-15)
M5	ln R&D intensity + ln GDP per capita	0.810	R&D: 1.969 (9.9, 1e-11); GDP: 0.169 (0.7, 0.51)

Table 3. Cross-country regressions (dependent variable: log patent density).

Model	Regressors	R²	Key coefficients (t, p)
M1	ln GDP per capita	0.699	1.527 (10.7, 2e-12)
M2	NE composite score	0.223	0.650 (3.3, 0.002)
M3	NE + ln GDP per capita	0.724	NE: 0.270 (1.6, 0.12); GDP: 1.216 (5.2, 6e-6)
M4	ln R&D intensity	0.790	2.135 (13.4, 3e-15)
M5	ln R&D intensity + ln GDP per capita	0.810	R&D: 1.969 (9.9, 1e-11); GDP: 0.169 (0.7, 0.51)

Three findings stand out. The I-dimension proxy alone explains more variance (R² = 0.790) than GDP per capita (0.699). In the joint model M5, R&D intensity remains highly significant (t = 9.9, p ≈ 10-¹¹) while GDP per capita turns insignificant (p = 0.51): once the knowledge input to value creation is measured directly, the explanatory power of the traditional income variable is absorbed. Robustness checks exclude the patent-density outlier (Israel), whereupon the R&D coefficient is 1.849 (p = 1.1×10-⁷), and the NE composite shows a significant quartile gradient with a top-to-bottom median ratio of about 19.

Two caveats limit the exercise. The test is component-validity evidence for the I-dimension input–innovation-output relation, not a test of the Wτ equation as a whole; causal identification must address R&D endogeneity through instrumental variables; and proxy measurement error is the largest empirical obstacle. These items define the agenda of the companion empirical paper, which will also report the executed H2 experiment.

12.2. Calibration of Accounting Blind Spots

Taken together, the three items are of the same order of magnitude as global GDP (≈US$105 trillion): scarcity-exchange accounting omits real value creation of market-comparable scale, which is directional evidence for the discrimination hypothesis.

Table 4. Independent scale estimates of accounting blind spots.

Activity	Value in market accounting	Independent scale estimate	Source
Unpaid care work	Zero in SNA	≈US$11 trillion/yr (≈9% of global GDP)	UN Women (2020)
Open-source software	Price ≈ 0	≈US$8.8 trillion (demand-side)	Hoffmann et al. (2022)
Ecosystem services	Zero	≈US$125–145 trillion/yr	Costanza et al. (2014)

Table 4. Independent scale estimates of accounting blind spots.

Activity	Value in market accounting	Independent scale estimate	Source
Unpaid care work	Zero in SNA	≈US$11 trillion/yr (≈9% of global GDP)	UN Women (2020)
Open-source software	Price ≈ 0	≈US$8.8 trillion (demand-side)	Hoffmann et al. (2022)
Ecosystem services	Zero	≈US$125–145 trillion/yr	Costanza et al. (2014)

12.3. Test Designs for H2 and H3

H2 (incentive effect) is a 2×2 between-subjects online experiment (α subsidy 1.0 versus 2.5 crossed with a basic-research task versus an applied task), with power analysis d = 0.5, power = 0.8, n ≈ 64 per cell, and pre-registration on OSF. H3 (anchor stability) uses the JST Macrohistory Database (1870–2020, 18 countries; Jordà et al. 2017) with three-anchor-regime Bai–Perron (2003) break tests, war and crisis dummies, and a synthetic-control alternative. Execution of H2 is inexpensive and is a precondition for any revision claiming empirical support for the incentive layer; we commit to reporting it in the companion paper.

13. Macrostability: The Central Open Problem

A sketch of the stabilization mechanics illustrates the intended logic. Under an issuance anchor, ΔM is proportional to ΣWτ and the price level anchors to the ratio of order increments to money supply, with inflation redefined as the system entropy-increase rate (false negentropy exceeding true negentropy) to be treated by CRN audit and consensus repair. Under exchange-rate dissolution, a unified value scale removes the basis for exchange rates and cross-border settlement becomes clearing. Countercyclical buffers combine the endogenous metabolism rate δ, countercyclical GPF investment, and Time-Bank savings smoothing, with ks buffering technology-jump shocks. Crisis response contracts the T-horizon under extreme shocks, triggering emergency α-recalibration with an AEAC emergency brake and ex-post GVP ratification.

Earlier versions of this program relegated these mechanisms to a closing sketch. The present version refuses that comfort, because this is the point at which a scarcity-free anchor confronts the hardest evidence of monetary history: anchor drift, speculative attacks on pegs, and the stabilization failures of non-scarcity monies. Whether an issuance rule proportional to audited order increments can deliver a stable unit of account, and under what feedback and fiscal-backing conditions, is the decisive question on which the entire program stands or falls. The dynamic formalization, stability proofs, and historical calibration of this section are the first priority of future research, and we refrain from claiming that this paper has solved monetary stability.

14. Simulation and Transition Political Economy

Following the agent-based computational economics tradition (Tesfatsion 2006; Farmer and Foley 2009), the ABM (NetLogo; 100 periods ≈ one century; 1,000 heterogeneous households; 50 firms; the TMS arm includes QE and macroprudential rules) reports means ± SD, 95% confidence intervals, effect sizes, and Sobol (2001) global sensitivity, with code in an online appendix. Because every parameter is author-set rather than empirically calibrated, the simulation answers only a conditional question: if the mechanism holds, what follows macroscopically? It cannot establish that the mechanism holds in reality, and we position it as mechanism illustration rather than evidence. The full results appear in Appendix A; here we report only that, under the stated parameterization, the NVC arm dominates the TMS arm on all four metrics by large effect sizes (Cohen’s d from 2.8 to 4.6), with the Sobol indices identifying the α-calibration rule as the dominant sensitivity parameter. The magnitude of these effects is a property of the parameterization, not a finding about the world.

ρ > ρ* ≡ Br / (Br + ΔCUtransition)

In the transition game, the blocking coalition’s expected return E[block] = (1−ρ)·Br − ρ·ΔCUtransition turns negative once the pilot success probability ρ exceeds the critical threshold ρ*. Political feasibility thereby reduces to a calibration-speed problem, which inherits the convergence logic of Proposition 11.

15. Limitations and Conclusions

15.1. Limitations

The value equation is an ontological posit awaiting empirical adjudication, not a physical theorem. The normative foundation is a philosophical argument, and readers who reject the survival-first premise cannot be persuaded within the framework. The measurement layer embeds conventions: exergy efficiency, ecological entropy debt, the flow-state composite, and the reference distribution of Iτ are publicly recomputable but convention-dependent, and what is eliminated is unilateral discretion rather than interpretation.

Several technical qualifications deserve separate mention. Proposition 6c requires quasi-linear utility (Assumption A6); with income effects, no single αj aligns all agents simultaneously, and agent-specific corrections or transfers are needed, a genuine gap rather than a footnote. The welfare-loss bound of Proposition 6d is local and presumes interiority and C³ smoothness. General-equilibrium uniqueness and stability rely on strong assumptions (the QV monotone likelihood-ratio property), and the conclusion that capture is uneconomic holds only within a declared parameter domain. The consensus layer is ineliminable: reference distributions and α-generation contain finite consensus and require recalibration across civilizations. Cross-corpus sensitivity analysis bounds but does not eliminate the partition dependence of Iτ. Measurement cost places validity at an endogenous-efficiency equilibrium constrained by K*. GitHub and bibliometric proxies for Iτ are noisy, and empirical identification remains the hardest open problem. The parameters δe, Var(W), Br, and the exponents a, b, c are theoretical settings awaiting estimation. Truth mastery Θ(t) depends on the unobservable pnature and remains a heuristic construct.

The thirteenth limitation is the largest, and we place it last for emphasis rather than for modesty: the macrostability of a scarcity-free anchor is unsolved. Section 13 identifies it as the decisive open problem, and strictly speaking no claim of this paper survives its failure.

15.2. Conclusions

Granted the premise that civilizational survival is a lexicographically prior meta-constraint, this paper has constructed a two-step theoretical program. The first step is the negentropic theory of value: value as the net increment of systemic order, with its concept terminologically disciplined, its connotation stratified into three layers, its boundary explicitly drawn, and its normative foundation defended through a lexicographic hierarchy and systematic replies to five counter-positions. The second step is civilization utility theory: civilization combats entropy through continuous negentropic creation, with cosmic-truth mastery as the ultimate directional goal, supported by the conditional asymptotic-dominance proposition (Proposition 4) and the per-truth counterfactual accounting path worked through relativity, quantum mechanics, germ theory, and, at the level of protocol, PCR. Civilization and individuals co-upgrade through the five-dimensional-capital mechanism.

The methodological stance behind the whole construction can be stated in one sentence: we do not claim to have found the truth, but to have built the apparatus that leads toward it under explicit premises. The value posits are derivable, the propositions provable under stated assumptions, the calibration targets computable, the algorithms runnable, the blueprint deducible, and the tests executable, each annotated with its premises and failure boundaries. Where earlier versions of this program overclaimed, whether about physical freedom from convention, about theorem status, or about efficiencies above unity, the present version withdraws the claim and keeps the apparatus. If the premises are accepted and the tests support the theory, monetary thought may remember this migration from the reification of social relations toward the socialization of physical order. If the premises are rejected or the tests fail, the apparatus remains as a criticizable and improvable benchmark for the theory of monetary value.