04_Praxeophysics_Canonical_Glossary_EN

Praxeophysics Canonical Glossary & Terminology Standard

Version: 4.1.0 (English Canonical Reference)
Author: Koki Sato / Praxeophysics Institute
License: CC BY 4.0 International

• Protocol Specification: 03_Praxeophysics_Protocol_Specification_EN
• Japanese Bilingual Edition: 05_Praxeophysics_Protocol_and_Glossary_JA
• Master Index: 00_Praxeophysics_Master_MOC

---

1. Design Principles of the Canonical Glossary

The Praxeophysics Canonical Glossary establishes a strictly domain-neutral terminology standard across Theoretical Physics / Active Inference (Free Energy Principle), Mathematical Economics (Praxeology, Catallactics, Synallactics, and Mechanism Design), Epistemology (Buddhist Pramāṇa-Madhyamaka, Apoha, Tacit Knowledge, and Mathematical Logic), and Cryptography (Verifiable Credentials & Differential Privacy)

To preserve universal applicability across physical environments, multi-agent systems, and institutional governance, this canonical reference excludes all industry-specific or commercial application jargon. Each concept is defined by:

1. Canonical Academic & Specification Term: The formal term used in scholarly publications and standard specifications
2. Protocol & Schema Identifier: The immutable key used in JSON-LD schemas (ontologyRef) and TypeScript reference implementations
3. Formal System & Mathematical Definition: The exact functional definition within the Praxeophysics framework

---

2. Internal Generative State Parameters: Dynamic Boundary Generative Model

Under the Laplace approximation, an agent’s internal continuous state across $D$ orthogonal dimensions is parameterized by the Internal Generative State ($\mathbf{\mu },\mathbf{\Pi },L(t)$), from which the allowable tolerance radius ($r(t)$) is derived

Symbol	Canonical Term	Protocol Identifier	Formal Mathematical & System Definition
$\mathbf{\mu }$	Prior Mean Vector	mu_prior	The $D$-dimensional baseline expectation vector ($\mathbf{\mu }\in {\mathbb{R}}^D$) representing the state values where prediction error is zero
$\mathbf{\Pi }$	Precision Weighting Vector	pi_precision	The $D$-dimensional inverse variance vector (${\Pi }_d={\sigma }_d^{-2}\in {\mathbb{R}}_{+}^D$) representing sensitivity to prediction error ${\epsilon }_d=s_d-{\mu }_d$, subject to finite attentional conservation $\sum {\Pi }_d={\Pi }_{\text{budget}}<\infty$
$L(t)$	Normalized Allostatic Load	allostatic_load	The dynamic scalar $L(t)\in [0,1)$ representing cumulative unresolved variational free energy over time, reducing remaining homeostatic capacity $C(t)=1-L(t)$
$r(t)$	Allowable Tolerance Radius	allowable_radius	The derived protective boundary radius $r_d(t)=\sqrt{2(1-L(t))/{\Pi }_d}$ such that the binary guardrail predicate $x_d(t)=1$ holds if and only if $

---

3. Complete Canonical Glossary (T01–T54 across 5 Domains)

Domain 1: Ontology — Bounded Individuated Systems & Self-Organization (T01–T07)

ID	Canonical Term	Protocol Identifier	Formal Definition
T01	Adaptation	adaptation	The dynamic process wherein a bounded system preserves its statistical boundary while minimizing variational free energy through internal model updating and active environmental intervention
T02	Markov Blanket	markov_blanket	The statistical boundary partitioning internal states ($\mu$) from external states ($\eta$) into conditional independence via sensory states ($s$) and active states ($a$)
T03	Nonequilibrium Steady State (NESS)	ness_homeostasis	A dynamical regime in which a self-organizing system resists thermodynamic dissipation by maintaining its state distribution within viable bounds
T04	Selective Permeability	selective_permeability	The property of a Markov blanket that protects internal states from direct external interference while selectively transmitting signals across sensory and active interfaces
T05	Law of Requisite Variety	requisite_variety	Ashby’s cybernetic theorem proving that a controller’s variety must be at least as great as the variety of the system being regulated, precluding uniform regulation of high-variety agents
T06	Dependent Origination (Relationality)	relational_dependence	The structural condition whereby internal and external states possess no isolated intrinsic nature, co-arising strictly through boundary-mediated coupling
T07	Concrete Particular (Svalaksana)	concrete_particular	A unique, momentary physical state possessing specific causal efficacy prior to conceptual abstraction or scalar aggregation

Domain 2: Epistemology — Information Compression, Guardrails & Regularization (T08–T20)

ID	Canonical Term	Protocol Identifier	Formal Definition
T08	Variational Free Energy (VFE)	variational_free_energy	The upper bound on sensory surprise defined as model complexity minus predictive accuracy; the objective function minimized during adaptation
T09	Prediction Error	prediction_error	The discrepancy ($\epsilon =s-\mu$) between actual sensory input and the internal generative prior at the boundary interface
T10	Generative Model	generative_model	The internal probabilistic model ($\mathbf{\mu },\mathbf{\Pi },L(t)$) parameterizing beliefs about external hidden causes, prior preferences, and remaining capacity
T11	Threshold Demarcation (Apoha)	threshold_demarcation	The concept-forming operation that defines a functional decision boundary by excluding states that violate a specific causal efficacy threshold
T12	Causal Efficacy (Arthakriya)	causal_efficacy	The concrete capacity of a state or parameter to produce an intended functional outcome or resolve variational friction
T13	Continuous-Discrete Two-Tier Separation	two_tier_separation	The epistemological distinction between continuous tacit dynamics (first tier / paramārtha) and discrete symbolic guardrail predicates (second tier / saṃvṛti)
T14	Symbolic Construct (Universal)	symbolic_construct	A discrete conceptual category constructed via threshold demarcation for low-complexity communication and verification
T15	Tacit Knowledge (Non-Symbolic Margin)	tacit_margin	The unformalizable kernel of embodied and contextual dynamics ($\ker \Phi$) preserved inside the symbolic guardrails (Polanyi)
T16	Intrinsic Reification (Svabhava)	intrinsic_reification	The epistemological error of treating a context-dependent symbolic construct or classification as an immutable, context-independent essence
T17	Conceptual Overfitting (Prapanca)	conceptual_overfitting	The pathological state in which hyper-precision (${\Pi }_{\text{prior}}\to \infty$) is assigned to a fixed rule or category, halting Bayesian updating from sensory evidence
T18	Higher-Order Precision Regularization (Sunyata)	precision_regularization	The meta-level regularization principle that de-reifies rigid constructs and relaxes hyper-precision back to finite, context-sensitive bounds
T19	Incompleteness & Open Schema Extension	open_schema_extension	The requirement, grounded in Gödel’s Incompleteness Theorem, that formal rule sets remain open to external ontology and dimension extensions
T20	[[Term_Attribute_Rule_Separation	Attribute-Rule Structural Separation]]	attribute_rule_separation

Domain 3: Micro-Teleology — Subjective Value, Exploration & Precision Conservation (T21–T30)

ID	Canonical Term	Protocol Identifier	Formal Definition
T21	Axiom of Purposeful Action	action_axiom	The foundational praxeological axiom that an agent employs scarce means to transition from a less satisfactory (higher friction) state to a more satisfactory state
T22	Expected Free Energy (EFE)	expected_free_energy	The path-integral objective function minimized during policy selection, decomposing into pragmatic value (exploitation) and epistemic value (exploration)
T23	Subjective Value (Preference Prior)	preference_prior	The principle that value is not intrinsic to external objects, but is defined by the log-probability preference distribution internal to an acting agent ($\ln P(o\mid C)$)
T24	Demonstrated Preference	demonstrated_preference	Rothbard’s principle that externally verifiable preferences are deduced strictly from an agent’s actual boundary choices and cryptographic signatures
T25	Opportunity Cost	opportunity_cost	The subjective value of the next-best foregone policy alternative sacrificed when executing a specific action in irreversible time
T26	Time Preference	time_preference	The universal teleological preference for earlier rather than later resolution of variational friction, grounding the value of automated low-latency verification
T27	Pragmatic Value (Exploitation)	pragmatic_value	The first component of Expected Free Energy, representing the fulfillment of known prior preferences and protective boundaries
T28	Epistemic Value (Exploration)	epistemic_value	The second component of Expected Free Energy, representing expected information gain ($D_{\mathrm{KL}}$) achieved when exploring novel contexts within safe guardrails
T29	Precision Weighting & Resource Conservation	precision_conservation	The conservation law ($\sum {\Pi }_d={\Pi }_{\text{budget}}$) dictating that high attentional precision in specific dimensions necessitates lower precision or narrower tolerance in others
T30	[[Term_Allostatic_Load	Allostatic Load & Homeostatic Capacity]]	allostatic_load

Domain 4: Macro-Teleology — Self-Ownership, Synallactics & Polycentric Order (T31–T40)

ID	Canonical Term	Protocol Identifier	Formal Definition
T31	Informational Self-Ownership	self_ownership	The exclusive control right of an agent over its own Markov blanket and internal state repository
T32	Argumentation Ethics	argumentation_ethics	The formal demonstration that any non-violent propositional agreement presupposes the mutual recognition of informational and bodily self-ownership
T33	Performative Contradiction	performative_contradiction	A self-refuting proposition whose semantic content denies the pragmatic boundary conditions required to assert it
T34	Incentive Compatibility	incentive_compatibility	The mechanism design property whereby truthful retention and verification of an agent’s true internal priors is the dominant strategy
T35	Strategy-Proofness (Myerson-Satterthwaite)	strategy_proofness	A settlement design using independent reference points ($p_{\text{ref}}$) so that bilateral agents have zero incentive to misreport reservation thresholds
T36	Reservation Threshold (Reservation Price)	reservation_threshold	The internal boundary limit in bilateral exchange or coupling beyond which interaction yields net variational loss
T37	Pareto Improvement	pareto_improvement	A coupling transition that reduces variational friction for at least one agent without breaching the protective boundaries of any other agent
T38	Frictionless Sorting & Exit (UNSAT Resolution)	frictionless_sorting	Hirschman-inspired non-penalized separation of agents into distinct niches when their required guardrails are logically unsatisfiable (${\mathcal{U}}_A\cap {\mathcal{U}}_B=\varnothing$)
T39	Catallactics & Synallactics	catallactics_synallactics	The complementarity between Catallactics (monetary price-signal exchange of alienable goods) and Synallactics (non-price multi-dimensional predicate reconciliation of inalienable boundary conditions)
T40	Asymmetric Lock-in & Polycentric Order	polycentric_order	The institutional transition from Olson’s Stationary Bandit (monopolistic rent extraction under high exit costs) to Ostrom’s Polycentric Governance Order (autonomous, interoperable rule-forming contexts)

Domain 5: Protocol Implementation — 4 Pipelines, Inverse Precision & Privacy (T41–T54)

ID	Canonical Term	Protocol Identifier	Formal Definition
T41	Atomic Predicate	atomic_predicate	An orthogonal, non-scalar condition unit evaluated at verification time as a binary truth value $x_d\in \{0,1\}$
T42	Ingestion Pipeline	ingestion_pipeline	The first protocol stage (Importer, Mapper, Extractor) that normalizes external data into the Internal Generative State ($\mathbf{\mu },\mathbf{\Pi },L(t)$) and typed atomic predicates
T43	Inverse Precision Inference	inverse_precision_inference	The algorithm deriving protective tolerance radii ($r_d=\sqrt{2(1-L)/{\Pi }_d}$) directly from positive commitment weights (${\Pi }_d$), mitigating self-reporting bias
T44	Dynamic Boundary Learning	dynamic_boundary_learning	Bayesian updating of protective boundaries across epochs using initial Inverse Precision Inference and empirical friction feedback ($L(t)$)
T45	Storage & Holder Pipeline	storage_holder_vault	The second protocol stage maintaining signed claims in a Personal Data Store under self-sovereign control, strictly separated from contextual rules
T46	Epoch Re-configuration & Revocation	epoch_revocation	The lifecycle mechanism that updates internal state vectors at epoch $t_{k+1}$ while cryptographically revoking outdated credentials from epoch $t_k$
T47	Verification Pipeline	verification_pipeline	The third protocol stage (Prover, Verifier) evaluating binary guardrail predicates $R_c(\mathbf{x})\in \{0,1\}$ via Selective Disclosure or Zero-Knowledge Proofs
T48	Selective Disclosure	selective_disclosure	Lightweight verification in symmetric cooperative contexts that discloses only the minimal subset of predicates required by the contextual rule
T49	Zero-Knowledge Proof (ZKP)	zero_knowledge_proof	Cryptographic verification in asymmetric contexts proving $R_c(\mathbf{x})=1$ without revealing the underlying state vectors ($\mathbf{\mu },\mathbf{\Pi }$) or reservation thresholds
T50	Plausible Deniability (Differential Privacy)	plausible_deniability	Dwork-inspired output pooling ($z=x_{\text{sens}}\vee x_{\text{pref}}$) designed to mitigate Bayesian reverse-inference of sensitive internal constraints from observable outputs
T51	Personal Fiduciary Agent & 4-Step A2A	personal_agent_a2a	The local agent operating inside the user’s Markov blanket that executes automated 4-step Agent-to-Agent handshakes (Schema, Policy, Proof, Settlement)
T52	[[Term_Reconciliation_Adapter	Reconciliation & Alignment Adapter]]	reconciliation_adapter
T53	Environmental Alignment	environmental_alignment	Single-agent parameter optimization ($N=1$) matching external physical or informational niche settings to the agent’s internal prior
T54	Complementary Reconciliation	complementary_reconciliation	Multi-agent parameter optimization ($N\ge 2$) deriving mutually viable interaction rules (COMPLEMENTARY_PRECISION_SYNC or INTERFACE_SCHEMA_MEDIATION)