stable_id	term_or_definition_family	field_domain	canonical_formulation_plain_english	equation_or_formal_object_if_applicable	native_object_measured	source_names_and_dates	source_ids	source_path_or_url_if_available	record_side_status	relation_to_other_term	related_stable_ids	infotropy_fit_class	claim_layer_touched	reason_for_fit_class	what_infotropy_would_predict	candidate_test_or_observation	failure_condition	confidence_low_medium_high	do_not_claim_warning	cross_ref_predictions
ENT-001	Clausius thermodynamic entropy	thermodynamics	State function whose change equals reversible heat divided by temperature.	dS=delta_Q_rev/T	macroscopic heat flow / state-function difference at equilibrium	Clausius 1865	SRC-003	na	absent	independent	ENT-002;ENT-003	compatible	C1	Macroscopic state function defined without reference to records; the canonical dispersion side that the Infotropy public framing names as one face of the irreversible process.	The Clausius S is consistent with Infotropy: no record-side observable is invoked nor excluded; record formation lives on the dual side and does not alter the Clausius bookkeeping.	No specific Infotropy-distinctive test at this layer; consistency check only.	A reproducible counterexample to dS=delta_Q_rev/T would refute classical thermodynamics first; Infotropy does not predict any such deviation.	high	DNC-NO-NEW-EQUATION;DNC-NO-DISCOVERY-OF-IDENTITY	na
ENT-002	Boltzmann entropy	statistical mechanics	Microstate-count log: entropy is proportional to the log of the number of microstates compatible with a macrostate.	S=k_B ln Omega	microstate multiplicity given a macrostate	Boltzmann 1877	SRC-004	na	implicit	formal_analogy	ENT-003;REL-001	compatible	C1	The macrostate is itself a choice of coarse-grained record. The formula does not reference records explicitly but presupposes a macrostate observer; Infotropy reads this as one position relative to record formation.	Fluctuation-theorem decomposition into memoryless and record-coupled terms with sign asymmetry tied to write versus erase operations on the coarse-grained record (PRED-011).	Bit-erasure protocols (Berut 2012; Jun-Gavrilov-Bechhoefer 2014) with explicit write/hold/erase sub-cycles; look for record-coupled deviation in entropy production statistics.	No detectable record-coupled deviation from memoryless baseline under controlled write/hold/erase cycles.	high	DNC-NO-NEW-EQUATION;DNC-NO-DISCOVERY-OF-IDENTITY;DNC-LINEAGE-REQUIRED	PRED-011
ENT-003	Gibbs entropy	statistical mechanics	Probability-weighted log over microstates: entropy is the expected log of microstate probability times Boltzmann constant.	S=-k_B sum_i p_i ln p_i	probability distribution over microstates	Gibbs 1902	SRC-005	na	implicit	identity	ENT-002;INFO-002;REL-001	compatible	C1	Formal identity with Shannon entropy at the algebraic level. This identity is C1 inherited; reading it as one process from different positions is C2 interpretive, not new evidence here.	Same prediction surface as ENT-002.	Same test surface as ENT-002.	Same failure surface as ENT-002.	high	DNC-NO-DISCOVERY-OF-IDENTITY;DNC-NO-ENTROPY-UNIFICATION	PRED-011
ENT-004	Ensemble entropies (microcanonical / canonical / grand-canonical)	statistical mechanics	Entropy of equilibrium ensembles under fixed energy, fixed temperature, or fixed chemical potential constraints.	S_mc=k_B ln Omega(E,V,N); S_c=-k_B sum p_i ln p_i; etc.	ensemble probability distribution	Gibbs 1902; Penrose 1970	SRC-005;SRC-089	na	absent	independent	ENT-002;ENT-003	compatible	C1	Equilibrium ensembles wash out record-side signal by construction; consistent with Infotropy but provide no record-side discriminator.	Infotropy expects record-side signal to vanish in equilibrium and re-emerge in metastable / nonequilibrium regimes.	Compare ensemble inequivalence regimes with explicit metastable-substructure tracking.	Ensemble inequivalence shows record-coupled signal in equilibrium ensembles.	medium	DNC-FALSE-FRIEND;DNC-NO-NEW-EQUATION	na
ENT-005	Coarse-grained entropy	statistical mechanics	Entropy computed after macrostate partitioning of phase space; depends on the chosen coarse-graining.	S_cg=-k_B sum_M P(M) ln P(M)	probability over macrostate cells under chosen partition	Jaynes 1957; Penrose 1970	SRC-006;SRC-089	na	explicit	formal_analogy	ENT-002;ENT-003;ENT-021	substrate_fit	C2	The partition IS a record-side specification; without it the entropy is undefined. Infotropy reads the partition as the constraint/record position dual to the dispersion side.	Privileged coarse-grainings selected by min-write-energy at fixed reconstruction fidelity should converge across substrates (PRED-003).	Cross-substrate min-write-energy partition comparison (PCM, flash, MRAM, DNA storage, synaptic write); test whether converged partitions are substrate-independent.	Min-energy partitions diverge arbitrarily across substrates.	medium	DNC-LINEAGE-REQUIRED;DNC-C4-NOT-C3A	PRED-003
ENT-006	Entropy production	stochastic and nonequilibrium thermodynamics	Total irreversible entropy generated per unit time in a process, always nonnegative.	sigma=dS_tot/dt >= 0; sum d_iS	dissipation rate associated with irreversible trajectory	Seifert 2012; Dewar-Kleidon	SRC-080;SRC-086	na	implicit	physical_coupling	ENT-007;ENT-002	substrate_fit	C2	Every nonzero sigma marks an irreversible process that can permit record formation; sigma is the cost-side coordinate to Infotropy's record-formation reading.	Entropy production should split into a memoryless component and a record-coupled component whose relative weights vary with downstream readout capacity (PRED-011 / PRED-017).	Single-molecule biophysics and active-matter fluctuation statistics under controlled readout/record presence vs absence.	No decomposition of sigma traces with readout capacity.	medium	DNC-FALSE-FRIEND;DNC-NO-NEW-EQUATION	PRED-011
ENT-007	Stochastic-thermodynamic entropy production (Crooks / Jarzynski)	stochastic thermodynamics	Fluctuation theorems relating forward / reverse trajectory probabilities to entropy production and free-energy differences.	P(+sigma)/P(-sigma)=exp(sigma/k_B); <exp(-W/k_B T)>=exp(-DeltaF/k_B T)	trajectory-level work / entropy distributions	Crooks 1999; Jarzynski 1997; Seifert 2012	SRC-069;SRC-070;SRC-080	na	implicit	physical_coupling	ENT-006;REL-007	substrate_fit	C2	Trajectory-level asymmetry is the microscopic structure of record formation. Sagawa-Ueda generalized second law explicitly bookkeeps mutual information with a memory tape.	Sagawa-Ueda mutual-information term should track Infotropic record-grade across feedback-controlled systems (PRED-006).	Direct measurement of feedback Maxwell-demon systems (engineered single-electron, trapped-ion, DNA-tape) with varying memory persistence.	Sagawa-Ueda term and Infotropic R-grade orthogonal under controlled memory variation.	medium	DNC-LINEAGE-REQUIRED;DNC-COMPRESSION-METAPHOR	PRED-006
ENT-008	Onsager linear-response / near-equilibrium entropy	nonequilibrium thermodynamics	Reciprocal relations connecting conjugate flows and forces near equilibrium.	J_i=sum_j L_ij X_j; L_ij=L_ji	near-equilibrium fluxes and forces	Onsager 1931	SRC-071	na	absent	independent	ENT-006;ENT-007	compatible	C2	Near-equilibrium regime where record formation is largely suppressed; baseline / null lane for Infotropic predictions.	Infotropy predicts negligible record-coupled signal in strictly linear regime; signal appears in nonlinear / far-from-equilibrium extensions.	Compare linear-regime Onsager coefficients to far-from-equilibrium analogues with explicit record-formation events.	Onsager regime already shows the predicted record-coupled deviation.	medium	DNC-NO-NEW-EQUATION	na
ENT-009	Configurational / mixing / residual entropy	condensed-matter / chemistry	Entropy associated with the number of distinguishable arrangements of components at a given composition; residual entropy persists at T->0.	S_conf=k_B ln W_conf	frozen configurational multiplicity	Penrose 1970; standard CMT texts	SRC-089	na	explicit	formal_analogy	ENT-002;ENT-010	substrate_fit	C2	Frozen configurations ARE literal durable records (residual S at T->0 measures unrelaxed records); fits the Infotropy reading without inflating C3a.	Residual entropy of glassy / disordered materials should correlate with downstream reconstructive capacity (e.g., trapped-defect functional readout in solid-state memories).	Memory materials calorimetry vs reconstructive-capacity benchmarks.	No correlation between residual S and reconstructive capacity.	medium	DNC-LINEAGE-REQUIRED	na
ENT-010	Glassy / frustrated-system entropy	condensed-matter / spin glasses	Configurational entropy of systems with many metastable basins; quench history dictates accessible state set.	S_glass tied to free-energy landscape topology (Edwards-Anderson / Parisi)	metastable basin distribution; quench-history record	standard spin-glass texts	SRC-089	na	explicit	physical_coupling	ENT-009	substrate_fit	C2	Quench history records are dominant; entropy is not a state function in the equilibrium sense — record-side coordinate is load-bearing.	Glass-system entropy under varied quench protocols should show protocol-dependent residue tracking Infotropic R-grade.	Programmable spin-glass simulators (D-Wave; optical spin glasses) with controlled quench schedules.	Quench protocol dependence vanishes in well-controlled regimes.	medium	DNC-NO-NEW-EQUATION	na
ENT-011	Bekenstein-Hawking entropy	general relativity / black-hole thermodynamics	Entropy of a black hole proportional to event-horizon area in Planck units.	S_BH=k_B A/(4 l_P^2)	event-horizon area; semiclassical state count	Bekenstein 1973; Hawking 1975	SRC-023;SRC-024	na	explicit	disputed	REL-009;REL-010	neutral	C2	Highly contested interpretive territory; horizon-area entropy could be read as records on a horizon, but supporting any such reading inside Infotropy would inflate well beyond what the framework currently licenses. Mark neutral with strong warning.	Speculative: a record-side resolution to the information paradox might leave a measurable late-time Page-curve correction distinguishable from non-record resolutions (PRED-012).	Analogue black-hole experiments (BEC Hawking radiation; SYK quantum simulators) under sufficiently controlled regimes.	Page-curve correction shape matches non-record resolutions.	low	DNC-NO-THEOREM-C3A;DNC-NO-ENTROPY-UNIFICATION;DNC-FALSE-FRIEND	PRED-012
ENT-012	Schroedinger negentropy / Helmholtz free energy	thermodynamics / biophysics	The "negative entropy" living systems extract from environment; equivalently free-energy currents.	F=U-TS; "negentropy" colloquial	thermodynamic potential / dissipation budget	Schroedinger 1944	SRC-026	na	implicit	independent	ENT-006;INFO-026	false_friend	C2	The phrase "Infotropy is negentropy" is the public framing's most attractive trap and is explicitly refused: Infotropy is NOT entropy reversed and NOT a free-energy substitute. Lineage anchor (Schroedinger) must be cited; conflation must be blocked.	Living-system "negentropy" budget should separate calorimetrically into metabolic-dissipation and record-formation components, with record-formation share substrate-tunable (PRED-020).	Direct calorimetry on engineered cellular memory circuits under matched metabolic load.	Record-write cost does not separate from metabolism.	medium	DNC-NO-ENTROPY-REVERSED;DNC-FALSE-FRIEND;DNC-LINEAGE-REQUIRED	PRED-020
ENT-013	Differential entropy	probability theory / information theory	Continuous analogue of Shannon entropy: minus the expectation of the log of a probability density.	h(X)=-integral f(x) ln f(x) dx	probability density on a continuous space	Shannon 1948; standard texts	SRC-001	na	actively_excluded	formal_analogy	INFO-002;REL-002	pressure	C2	Coordinate-dependent: changes under reparameterization by a Jacobian log. Infotropy's substrate-independence reading must commit to a privileged reference measure (or KL-to-reference) supplied by downstream record-coupling; this is a genuine pressure point, not a contradiction.	A privileged coarse-graining derived from record-formation cost should converge across substrates and resolve the differential-entropy ambiguity (PRED-003).	Cross-substrate min-energy-partition convergence test.	Min-energy partitions diverge arbitrarily.	medium	DNC-LOG-FORM;DNC-FALSE-FRIEND	PRED-003
ENT-014	von Neumann entropy	quantum mechanics / quantum information	Entropy of a density operator: minus trace of rho times log of rho.	S(rho)=-Tr(rho ln rho)	quantum density operator	von Neumann 1932; Nielsen-Chuang 2010	SRC-017;SRC-018	na	implicit	identity	ENT-015;ENT-016;INFO-041	compatible	C1	Quantum formal extension of Gibbs/Shannon; identity is C1 inherited. von Neumann S by itself is not a record-formation theorem.	No Infotropy-distinctive test at this layer beyond the quantum Darwinism prediction surface (REL-005).	Consistency with Nielsen-Chuang treatment.	Operational anomaly that refuses Hilbert-space-quantum bookkeeping would refute quantum mechanics first.	high	DNC-NO-DISCOVERY-OF-IDENTITY;DNC-LOG-FORM	na
ENT-015	Quantum relative entropy	quantum information	Quantum analogue of Kullback-Leibler divergence between two density operators.	S(rho||sigma)=Tr(rho ln rho) - Tr(rho ln sigma)	pair of quantum states	Umegaki 1962; Lindblad 1973	SRC-085	na	implicit	formal_analogy	ENT-014;REL-002	compatible	C2	Distinguishability functional; record-side enters via Stein lemma (asymptotic hypothesis-testing record statistics) but the bare formula is operator-algebraic.	No distinct Infotropic prediction beyond ENT-014 surface.	Consistency check.	Same as ENT-014.	high	DNC-LOG-FORM	na
ENT-016	Entanglement entropy	quantum information / many-body physics	von Neumann entropy of the reduced density operator of one part of a bipartite system.	S_A=-Tr(rho_A ln rho_A) for rho_A=Tr_B(rho_AB)	bipartite quantum state via partial trace	Nielsen-Chuang 2010	SRC-018	na	implicit	formal_analogy	ENT-014;REL-005	substrate_fit	C2	Partial trace is the formal record-formation analog (the discarded subsystem is the cost-side bath that licenses the kept subsystem to behave as a record); S(rho_A)=S(rho_B) realizes "one process, two positions" cleanly.	Entanglement entropy across record-formation cuts should pattern with quantum Darwinism plateau signatures (REL-005); cuts that ARE record-formation cuts behave differently from generic Hilbert-space cuts.	Many-body simulations and tabletop experiments with controlled environment-discard structure.	No qualitative distinction between record-formation cuts and arbitrary cuts.	medium	DNC-LOG-FORM;DNC-LINEAGE-REQUIRED	na
ENT-017	Quantum conditional entropy	quantum information	Quantum version of conditional entropy; can be negative for entangled states.	S(A|B)=S(AB)-S(B); can be < 0	bipartite quantum state	Nielsen-Chuang 2010	SRC-018	na	implicit	disputed	ENT-014;ENT-016	pressure	C2	Negative values pressure a naive C2 reading. Resolved by sharpening C2 to "the relevant cut is a record-formation cut, not an arbitrary Hilbert-space cut" — compatible after sharpening, not false friend.	C2 reframe: only record-formation-cut partitions should be the "positions" in "one process, different positions"; arbitrary cuts can give negative S(A|B) without that being a meaningful Infotropic statement.	Theoretical sharpening note; experimental support via cuts engineered through environment-discard channels.	After sharpening, no consistent record-formation cut admits negative conditional entropy in cases relevant to Infotropy.	medium	DNC-NO-ENTROPY-UNIFICATION;DNC-LINEAGE-REQUIRED	na
ENT-018	Quantum Renyi entropies	quantum information	Parametric family of entropies on a quantum state.	S_alpha(rho)=(1-alpha)^-1 ln Tr(rho^alpha)	quantum state with parameter alpha	Renyi 1961 (classical); Nielsen-Chuang 2010	SRC-033;SRC-018	na	implicit	formal_analogy	ENT-014;ENT-023;ENT-019	compatible	C2	Parameter family converging to ENT-014 at alpha=1; alpha-Renyi free energies (Brandao et al 2015) provide one-shot bounds with operational record-side meaning at extremes.	One-shot single-instance second-law bounds tighten differently for work-extracting records vs non-record information (PRED-006).	Resource-theoretic thermodynamics experiments (single-electron, trapped-ion) with engineered memory persistence.	F_alpha collapses to F_1 once mutual information is matched.	medium	DNC-LOG-FORM;DNC-LINEAGE-REQUIRED	PRED-006
ENT-019	Smooth min / max-entropy	quantum information / one-shot QIT	Single-shot operational entropy measures: max-entropy = compression ceiling; min-entropy = random-extraction floor.	H_max^eps; H_min^eps; smooth Renyi family	finite-realization records and extractors	Renner 2005	SRC-016	na	explicit	formal_analogy	ENT-018;ENT-014	substrate_fit	C2	One-shot operational meaning is record-extraction native (QKD security, randomness extraction). Substrate fit to Infotropy's record-formation reading at single-instance scale.	Single-shot extraction bounds in record-rich vs record-poor settings should differ by an amount tied to write-cost asymmetry.	QKD and DI-randomness experiments with controlled record-substrate variation.	No write-cost asymmetry effect on smooth-entropy bounds.	medium	DNC-LINEAGE-REQUIRED	na
ENT-020	Topological entropy	dynamical systems / ergodic theory	Exponential growth rate of distinguishable orbits under a continuous map (no measure required).	h_top=lim_n (1/n) ln N(n,epsilon)	orbit-counting under continuous map	Adler-Konheim-McAndrew 1965; Bowen 1971; Walters 1982	SRC-029;SRC-031;SRC-032	na	actively_excluded	independent	ENT-021	false_friend	none	The word "entropy" carries the work; the native object is orbit complexity with no measure, no record, no irreversibility. Including this as Infotropy support would be the canonical false friend.	If a record-fidelity score is computed via the variational principle bridge (sup_mu h_mu), it differentiates substrates with matched h_top (PRED-002); but h_top alone is uninformative.	Pairs of dynamical systems with matched h_top and differing record-fidelity scores; check downstream prediction quality.	No difference once Lyapunov spectrum and information dimension are controlled.	high	DNC-WORD-ENTROPY;DNC-FALSE-FRIEND	PRED-002
ENT-021	Kolmogorov-Sinai (metric) entropy	ergodic theory	Measure-theoretic entropy of a measure-preserving transformation; partition-based.	h_mu=sup_alpha lim_n (1/n) H_mu(alpha_n)	measure-preserving dynamical system	Sinai 1959; Walters 1982	SRC-030;SRC-032	na	implicit	formal_analogy	ENT-020;ENT-022	substrate_fit	C2	Partition entropy IS a coarse-graining specification; record-side coarse-graining is the right reading. KS entropy bridges to thermo entropy via Boltzmann-like cell counts.	Match KS to a record-grade scoring across substrates; cases where KS and record-grade diverge identify pressure on the substrate-fit reading.	Empirical estimation of KS via SampEn / permutation entropy proxies vs reconstruction quality on time-series across substrates.	KS and record-grade orthogonal in well-controlled substrates.	medium	DNC-LINEAGE-REQUIRED	na
ENT-022	Partition entropy (measure-theoretic)	ergodic theory	Shannon entropy of a measurable partition under a measure.	H_mu(alpha)=-sum_A mu(A) ln mu(A)	measurable partition	Walters 1982	SRC-032	na	implicit	formal_analogy	ENT-021;ENT-005	substrate_fit	C2	Equiprobable cells reduce to Boltzmann; this is the formal bridge ergodic-theoretic entropy has with statistical mechanics.	Same surface as ENT-005 / ENT-021.	Same surface as ENT-005 / ENT-021.	Same surface as ENT-005 / ENT-021.	medium	DNC-LINEAGE-REQUIRED	na
ENT-023	Renyi entropy family	probability / information theory	Parametric one-parameter family of entropies; Shannon at alpha->1, Hartley at alpha->0, min-entropy at alpha->infinity.	H_alpha=(1-alpha)^-1 ln sum p_i^alpha	probability distribution with parameter alpha	Renyi 1961	SRC-033	na	implicit	formal_analogy	ENT-018;INFO-001;INFO-002	compatible	C2	Only alpha=1 anchors C1 identity; off-Shannon members are generalizations that are not themselves Infotropic without further argument.	No specific Infotropy-distinctive prediction; alpha=2 (collision) and alpha=infinity (min-entropy) have crypto / extractor uses (ENT-019; ENT-034).	Cross-domain fits at alpha!=1 should be checked for circularity (Tsallis case) before being claimed as Infotropic.	An Infotropy-claimed fit only works at alpha!=1.	medium	DNC-LOG-FORM;DNC-LINEAGE-REQUIRED	na
ENT-024	Tsallis q-entropy	non-extensive statistical mechanics	Non-additive parametric entropy generalization; q=1 limit recovers Boltzmann-Gibbs.	S_q=(1-sum p_i^q)/(q-1) (with k_B convention)	probability distribution with parameter q	Tsallis 1988	SRC-034	na	implicit	disputed	ENT-023;ENT-002	false_friend	none	Cross-domain fits at q!=1 either rest on non-additive composition rules (anti-C1) or collapse circularly back to Boltzmann at q=1. Easy to misread as Infotropic; not.	None licensed.	Adversarial reinterpretation: any Tsallis fit must show that q!=1 is forced by physics, not by curve-fitting.	A q!=1 fit demonstrably forced by independent physical constraint.	medium	DNC-WORD-ENTROPY;DNC-FALSE-FRIEND;DNC-NO-ENTROPY-UNIFICATION	na
ENT-025	(reserved — see INFO-001 Hartley)	na	na	na	na	na	na	na	na	na	na	na	na	Merged into INFO-001; Hartley entropy is treated as the Renyi-alpha=0 boundary of INFO-001 in the information family.	na	na	na	na	DNC-FALSE-FRIEND	na
ENT-026	Logical entropy (Ellerman)	partition logic / mathematics	Probability that two independent draws fall in distinct cells of a partition.	h=1-sum p_i^2	partition and its block probabilities	Ellerman 2009	SRC-035	na	explicit	formal_analogy	ENT-022;INFO-015	substrate_fit	C2	Distinction-count under partitioning is a clean record-side native object; aligns with Bateson "difference" reading at a formal level.	Logical-entropy-based record-grade should correlate with Infotropic R-grade across distinction-counting substrates.	Comparative tests on partition-defined classification systems.	No correlation between logical entropy and Infotropic R-grade.	medium	DNC-LINEAGE-REQUIRED	na
ENT-027	Algebraic entropy (group / ring / topological-group endomorphism)	algebra / topological dynamics	Growth rate of an algebraic invariant under iterated endomorphism.	h_alg(varphi)=lim_n (1/n) log dim(<X+varphi X+...+varphi^n X>)	algebraic invariant under endomorphism	Bowen 1971; standard texts	SRC-031	na	actively_excluded	independent	ENT-020	false_friend	none	Pure word match; no measure, no record, no irreversibility, no Infotropic content.	None licensed.	None.	No test.	high	DNC-WORD-ENTROPY;DNC-FALSE-FRIEND	na
ENT-028	Sofic / amenable group entropy	geometric group theory / dynamics	Generalization of KS entropy to actions of sofic / amenable groups.	dynamical entropy generalizing ENT-021	measure-preserving group action	survey literature	SRC-031;SRC-032	na	implicit	formal_analogy	ENT-021	substrate_fit	C2	Inherits ENT-021's status as a coarse-graining-driven entropy in broader algebraic settings.	Same surface as ENT-021.	Same surface as ENT-021.	Same surface as ENT-021.	low	DNC-WORD-ENTROPY	na
ENT-029	Permutation entropy (Bandt-Pompe)	time-series analysis	Shannon entropy of the distribution of ordinal patterns in a time series.	H_p=-sum p(pi) ln p(pi) over ordinal patterns pi	ordinal patterns in a finite time series	Bandt-Pompe 2002	SRC-036	na	implicit	formal_analogy	ENT-021	compatible	C2;C4	Empirical KS proxy via ordinal-pattern partitioning; useful diagnostic tool (C4).	C4-grade diagnostic for record-rich vs record-poor time series.	Comparative permutation-entropy analysis of bacterial-genome lineages vs randomized controls.	Permutation entropy fails to track record-grade in well-controlled comparisons.	medium	DNC-FALSE-FRIEND	na
ENT-030	Sample / approximate / multiscale entropy	biosignal time-series analysis	Empirical irregularity / unpredictability measures over physiological time series.	ApEn(m,r,N); SampEn(m,r,N); MSE across scales	finite sample with tolerance r and embedding m	Pincus 1991; Richman-Moorman 2000; Costa-Goldberger-Peng 2002	SRC-037;SRC-038;SRC-039	na	implicit	formal_analogy	ENT-029;ENT-021	compatible	C4	Empirical entropy-rate proxies; widely used and frequently misinterpreted (false-friend risk in biology / medicine). Diagnostic value; not Infotropic by themselves.	C4 diagnostic; no direct Infotropy distinctive prediction.	Calibration vs reconstruction-fidelity benchmarks.	No diagnostic value beyond standard signal-processing baselines.	medium	DNC-WORD-ENTROPY;DNC-FALSE-FRIEND	na
ENT-031	Entropy rate of a stationary process	information theory / ergodic theory	Per-symbol Shannon entropy of an infinite stationary process; equals KS entropy via symbolic dynamics.	h=lim_n (1/n) H(X_1,...,X_n)	stationary stochastic process	Shannon 1948; Walters 1982	SRC-001;SRC-032	na	explicit	identity	ENT-021;INFO-002	substrate_fit	C2	Per-symbol record-production rate; central operational meaning of Shannon entropy. Direct substrate hit for Infotropic record-rate reading.	Predictive-information sub-extensive scaling (INFO-028) should track the record-formation slope at boundaries of entropy rate.	Per-symbol entropy estimates on bacterial-genome lineages vs randomization controls.	No predictive sub-extensive scaling correlates with record-formation.	medium	DNC-LINEAGE-REQUIRED	na
ENT-032	Computational / HILL / pseudorandom entropy	cryptography / complexity theory	Computational analogue of Shannon entropy: a distribution that is computationally indistinguishable from one of high min-entropy.	H_HILL(X)=k iff X is comp.-indist. from Y with H_min(Y)>=k	probability distribution under bounded computation	Hastad-Impagliazzo-Levin-Luby; standard crypto texts	SRC-013	na	absent	independent	ENT-033;INFO-033	pressure	C2	Pseudorandom outputs have full HILL entropy but zero physical record-formation cost. Productive falsifier: forces Infotropy to commit publicly to "physical-irreversibility specification of compression" rather than mere indistinguishability.	Infotropy must NOT count PRG outputs as records; this is a clean prediction (PRG outputs fail Infotropic R-grade despite full HILL entropy).	Compare PRG outputs vs physical-noise sources for Infotropic record-grade scoring.	PRG outputs score as Infotropic records.	medium	DNC-COMPRESSION-METAPHOR;DNC-FALSE-FRIEND	na
ENT-033	Cryptographic min-entropy	cryptography	Minimum surprisal across the support of a distribution; the relevant entropy for randomness extraction.	H_min(X)=-log max_x P(X=x)	worst-case probability over support	standard crypto texts; Renner 2005	SRC-016;SRC-013	na	absent	formal_analogy	ENT-019;ENT-032	neutral	none	Distribution-side only; included for completeness. No Infotropic stake unless paired with a physical-realization scheme.	None licensed at this layer.	None.	None.	medium	DNC-COMPRESSION-METAPHOR	na
ENT-034	Renyi collision entropy (alpha=2)	cryptography	Probability that two independent draws collide.	H_2(X)=-log sum p_i^2	independent-draw collisions	Renyi 1961	SRC-033	na	absent	formal_analogy	ENT-023;ENT-026	neutral	none	Same status as ENT-033 at alpha=2.	None.	None.	None.	medium	DNC-COMPRESSION-METAPHOR	na
ENT-035	Ecological Shannon-Wiener diversity (H')	ecology / biostatistics	Shannon entropy of species abundance distribution.	H'=-sum p_i ln p_i	species abundance distribution at one site / time	Hill 1973; Jost 2006	SRC-042;SRC-043	na	absent	formal_analogy	ENT-036;INFO-002	false_friend	none	Formula reuse with the record axis stripped; high false-friend potential in biology / ecology. Marks the packet's canonical pattern: same formula, different field, no Infotropy content unless record formation is reintroduced.	If reintroduced with explicit record formation (e.g., persistence-tagged species coexistence), recovers C4 diagnostic status.	Comparison with Hill numbers (ENT-036) and explicit record-tagging.	No additional Infotropic content beyond ecological diversity measurement.	high	DNC-LOG-FORM;DNC-WORD-ENTROPY;DNC-FALSE-FRIEND	na
ENT-036	Hill numbers / effective number of species	ecology	Parametric diversity family that interprets Renyi entropy as an "effective number" of equally-abundant species.	D_q=(sum p_i^q)^(1/(1-q))	species abundances with order q	Hill 1973; Jost 2006	SRC-042;SRC-043	na	absent	formal_analogy	ENT-035;ENT-023	neutral	C4	Sharper tool; same record-blindness as ENT-035. Useful diagnostic; no Infotropic claim.	None.	None.	None.	medium	DNC-FALSE-FRIEND;DNC-WORD-ENTROPY	na
ENT-037	Integrated information Phi (IIT)	cognitive neuroscience / philosophy of mind	A measure of the irreducibility of a system's cause-effect structure, proposed as a correlate of consciousness.	Phi_max (system); related complex of mechanisms	cause-effect repertoire over substrate	Tononi 2004; Oizumi-Albantakis-Tononi 2014	SRC-050	na	explicit	disputed	REL-005;ENT-038	neutral	none	Structural overlap with Infotropy reads is real (records inside the system), but invoking IIT as Infotropy support would route directly into the solved-consciousness nonclaim. Hard DNC.	Infotropy does not predict that Phi tracks consciousness; that question is out of scope. Substrate-level structural overlap (information integration over irreducible partitions) noted, no further claim.	None at the Infotropy claim layer.	None at the Infotropy claim layer.	low	DNC-NO-MORAL-IMPORT;DNC-PHIL-NON-EMPIRICAL;DNC-PROJECT-NOT-THEORY	na
ENT-038	Variational free energy / surprisal (active inference / FEP)	computational neuroscience / Bayesian brain	Surprisal of sensory data under generative model; minimization underlies active inference.	F=E_q[ln q(s) - ln p(s,o)]; surprisal -ln p(o)	agent-environment generative model and its variational bound	Friston 2010	SRC-051	na	implicit	disputed	ENT-006;INFO-002	pressure	C2;C4	Variational-Bayes layer is formal Shannon (substrate_fit at C2); ontological layer (FEP as universal explanation of brain function) makes implicit claims competing with C3a and should be marked as pressure, not direct_support.	Durable-external-record agents should outperform record-less agents on long-horizon non-stationary adaptation with power-law scaling in record-persistence time (PRED-008).	DNC-variants and replay-vs-no-replay in non-stationary task distributions.	Scaling exponent collapses to zero when internal-state capacity is matched.	medium	DNC-COMPRESSION-METAPHOR;DNC-PROJECT-NOT-THEORY;DNC-FALSE-FRIEND	PRED-008
