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The Ontology of Quantum Mechanics: Coherent Free-State Propagation and Constraint Formation

Hongpu Yang

Published Apr 23, 2026• 0 citations
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Abstract

What is quantum mechanics, constitutionally? This document provides the answer within the Energy-Efficiency Theory framework: quantum mechanics is not an independent set of physical laws, nor a "theory of particles," nor a "theory of measurement." Quantum mechanics is the dynamics of non-matter—the coherent propagation of free-state energy (E_f, E_c = 0) along Type II edges of the constraint network at the optimal cooperative capacity point η ≈ 1. Constraint Dynamics (CND v4.0) describes the dynamics of matter (Being, E_c > 0). Measurement is the constitutional interface between them: a Cut → Encapsulate event at the Type I/Type II boundary that terminates non-matter propagation and creates a persistent matter record. The QM ↔ Measurement Constitutional Duality is the constitutional expression of the Non-Matter/Matter distinction in dynamics. Version 3.1 is a comprehensive constitutional upgrade that preserves all v3.0 content while introducing five core refinements. (i) The Matter/Non-Matter constitutional framework (Particle v3.3) is implanted throughout: QM governs non-matter; measurement is the non-matter → matter constitutional transition; the wavefunction ψ = |ψ| e^{iS/A_EET} is the complex amplitude of non-matter propagation—physically real (ontic), not epistemic, not many-worlds. (ii) Barrier Asymmetry is conditionalized: E_b^melt ≫ E_b^form emerges from Γ(η) decay at η ≠ 1; at η = 1, E_b^form = E_b^melt = A_EET · ω (Inertia v3.4, CLOSED). Quantum coherence is protected by the three-engine architecture. (iii) The decoherence rate is corrected from a contradictory single-factor model to a two-channel additive model distinguishing encapsulation-driven decoherence (∝ f_enc(L)) from efficiency-imbalance-driven decoherence (∝ 1−Γ(η)). (iv) The quantum-to-classical transition is refined from a binary "L ≥ 3" threshold to a three-regime crossover governance (L ≤ 2 quantum, L = 3–4 crossover, L ≥ 5 effective classical), with the L_branch concept distinguishing whole-object coherence (excluded) from collective-coordinate coherence (experimentally observed). (v) The Schrödinger's cat paradox receives its constitutional resolution: the radioactive atom is non-matter (transient constraint events); the cat is matter (E ∈ {0,1} binary). The paradox arises from conflating these two constitutional domains. Ten core constitutional deepenings distinguish v3.1 from its predecessor. DEEPENING-1: The wavefunction's ontic status is systematically situated against all six major QM interpretations (Copenhagen, Many-Worlds, de Broglie–Bohm, QBism, GRW, EET), establishing EET's distinct constitutional position. DEEPENING-2: The five-channel complete constraint Second Law (CND v4.0, CLOSED) is integrated into the quantum measurement framework, unifying passive decoherence, environmental decoherence, and measurement-induced decoherence as three variants of meltdown channel activation. DEEPENING-3: The dual-channel decoherence model unifies elastic decoherence (reversible, ∝ 1−Γ(η)) and plastic decoherence (irreversible, ∝ C(t), measurement collapse) within a single constitutional framework, resolving the measurement problem. DEEPENING-4: The non-matter → matter constitutional transition is established as the three-step measurement dynamics (Difference Detection → Template Matching → Persistent Record Formation), constitutionally anchored in the constraint formation competition framework. DEEPENING-5: The line graph duality (Field v3.1 R4, Particle v3.3 Part VI) is registered as the graph-theoretic foundation of wave-particle duality—not a quantum mystery, but a universal graph-theoretic theorem. DEEPENING-6: QM and GR co-originate from the energy bifurcation at η = 1: QM is the dynamics of non-matter; GR is the geometry of matter. No "quantization of gravity" is required. DEEPENING-7: Emergent Minkowski spacetime (Space v3.3 §5, Time v3.2 §3.4) is constitutionally registered as QM's constitutional stage—not the background in which QM operates, but the symmetry that emerges at the optimal cooperative capacity point. DEEPENING-8: The quantum-to-classical crossover is governed by three independent constitutional mechanisms (decoherence via meltdown channel, force attenuation via encapsulation depth, and jamming via constraint density), of which decoherence and force attenuation are fully developed in v3.1. DEEPENING-9: Quantum information is constitutionally distinguished as transient information (non-matter, no constraint boundary, no maintenance power, no inertial mass), to be contrasted with constraint-grounded information (matter, persistent, E = mc² > 0). DEEPENING-10: The constitutional responses to twenty-six major problems in quantum mechanics are systematically registered, spanning CLOSED-in-EET (QM-GR co-origination, wave-particle duality, QM ↔ Measurement duality), STANDARD (measurement problem constitutionally located, two-channel decoherence, emergent Minkowski spacetime), WORKING HYPOTHESIS (mass as coarse coherence proxy, quantum Darwinism reformulated as blind pump), and CONJECTURE (AdS/CFT correspondence, CDT/MERA emergence). The document is organized as follows. Part I establishes the constitutional foundations, including the Matter/Non-Matter constitutional chain, Barrier Asymmetry conditionalized, and the QFT vs. EET ontological incommensurability. Part II defines QM as non-matter dynamics, establishes the wavefunction as the complex amplitude of non-matter propagation (with systematic comparison to all major QM interpretations), and delineates the constitutional domain boundaries. Part III provides the complete companion ontology interface system, synchronized through June 2026. Part IV-A presents the mathematical foundations, including the Schrödinger equation dual-path derivation and the constraint network path integral. Part IV-B develops quantum states and dynamics, with entanglement re-expressed as shared constraint boundary topology. Part IV-C provides the measurement framework—the non-matter → matter constitutional transition, five-channel measurement, and responses to Frauchiger-Renner, Leggett-Garg, and indefinite causal order. Part IV-D presents the unified two-channel decoherence model and the quantum-to-classical crossover governance with the L_branch concept. Part IV-E treats the vacuum as the N=0 ground state. Part V covers cross-scale instantiation. Part VI provides nine falsifiable predictions. Part VII lists eleven constitutional open problems. Part VIII systematically registers EET constitutional responses to twenty-six major problems in quantum mechanics. Part IX registers the academic priority of forty-eight constitutional claims. Quantum mechanics is the dynamics of the non-material substrate at its optimal operating point. Measurement is the constitutional transition from non-matter to matter. The Schrödinger equation is the deterministic law of non-matter propagation. The Born rule is the statistical law of the non-matter/matter interface. Together, they constitute the complete constitutional framework of quantum mechanics in EET. Keywords: Non-matter dynamics; matter/non-matter distinction; constraint network; coherent free-state propagation; measurement as constitutional transition; two-channel decoherence; quantum-to-classical crossover; encapsulation-depth refinement; Born rule as interface statistics; η-generalized Lindblad equation; emergent Minkowski spacetime; line graph duality; constitutional ontology of quantum mechanics; Energy-Efficiency Theory.

DOI
10.5281/zenodo.19702941

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What is quantum mechanics, constitutionally? This document provides the answer within the Energy-Efficiency Theory framework: quantum mechanics is not an independent set of physical laws, nor a "theory of particles," nor a "theory of measurement." Quantum mechanics is the dynamics of non-matter—the coherent propagation of free-state energy (E_f, E_c = 0) along Type II edges of the constraint network at the optimal cooperative capacity point η ≈ 1. Constraint Dynamics (CND v4.0) describes the dynamics of matter (Being, E_c > 0). Measurement is the constitutional interface between them: a Cut → Encapsulate event at the Type I/Type II boundary that terminates non-matter propagation and creates a persistent matter record. The QM ↔ Measurement Constitutional Duality is the constitutional expression of the Non-Matter/Matter distinction in dynamics. Version 3.1 is a comprehensive constitutional upgrade that preserves all v3.0 content while introducing five core refinements. (i) The Matter/Non-Matter constitutional framework (Particle v3.3) is implanted throughout: QM governs non-matter; measurement is the non-matter → matter constitutional transition; the wavefunction ψ = |ψ| e^{iS/A_EET} is the complex amplitude of non-matter propagation—physically real (ontic), not epistemic, not many-worlds. (ii) Barrier Asymmetry is conditionalized: E_b^melt ≫ E_b^form emerges from Γ(η) decay at η ≠ 1; at η = 1, E_b^form = E_b^melt = A_EET · ω (Inertia v3.4, CLOSED). Quantum coherence is protected by the three-engine architecture. (iii) The decoherence rate is corrected from a contradictory single-factor model to a two-channel additive model distinguishing encapsulation-driven decoherence (∝ f_enc(L)) from efficiency-imbalance-driven decoherence (∝ 1−Γ(η)). (iv) The quantum-to-classical transition is refined from a binary "L ≥ 3" threshold to a three-regime crossover governance (L ≤ 2 quantum, L = 3–4 crossover, L ≥ 5 effective classical), with the L_branch concept distinguishing whole-object coherence (excluded) from collective-coordinate coherence (experimentally observed). (v) The Schrödinger's cat paradox receives its constitutional resolution: the radioactive atom is non-matter (transient constraint events); the cat is matter (E ∈ {0,1} binary). The paradox arises from conflating these two constitutional domains. Ten core constitutional deepenings distinguish v3.1 from its predecessor. DEEPENING-1: The wavefunction's ontic status is systematically situated against all six major QM interpretations (Copenhagen, Many-Worlds, de Broglie–Bohm, QBism, GRW, EET), establishing EET's distinct constitutional position. DEEPENING-2: The five-channel complete constraint Second Law (CND v4.0, CLOSED) is integrated into the quantum measurement framework, unifying passive decoherence, environmental decoherence, and measurement-induced decoherence as three variants of meltdown channel activation. DEEPENING-3: The dual-channel decoherence model unifies elastic decoherence (reversible, ∝ 1−Γ(η)) and plastic decoherence (irreversible, ∝ C(t), measurement collapse) within a single constitutional framework, resolving the measurement problem. DEEPENING-4: The non-matter → matter constitutional transition is established as the three-step measurement dynamics (Difference Detection → Template Matching → Persistent Record Formation), constitutionally anchored in the constraint formation competition framework. DEEPENING-5: The line graph duality (Field v3.1 R4, Particle v3.3 Part VI) is registered as the graph-theoretic foundation of wave-particle duality—not a quantum mystery, but a universal graph-theoretic theorem. DEEPENING-6: QM and GR co-originate from the energy bifurcation at η = 1: QM is the dynamics of non-matter; GR is the geometry of matter. No "quantization of gravity" is required. DEEPENING-7: Emergent Minkowski spacetime (Space v3.3 §5, Time v3.2 §3.4) is constitutionally registered as QM's constitutional stage—not the background in which QM operates, but the symmetry that emerges at the optimal cooperative capacity point. DEEPENING-8: The quantum-to-classical crossover is governed by three independent constitutional mechanisms (decoherence via meltdown channel, force attenuation via encapsulation depth, and jamming via constraint density), of which decoherence and force attenuation are fully developed in v3.1. DEEPENING-9: Quantum information is constitutionally distinguished as transient information (non-matter, no constraint boundary, no maintenance power, no inertial mass), to be contrasted with constraint-grounded information (matter, persistent, E = mc² > 0). DEEPENING-10: The constitutional responses to twenty-six major problems in quantum mechanics are systematically registered, spanning CLOSED-in-EET (QM-GR co-origination, wave-particle duality, QM ↔ Measurement duality), STANDARD (measurement problem constitutionally located, two-channel decoherence, emergent Minkowski spacetime), WORKING HYPOTHESIS (mass as coarse coherence proxy, quantum Darwinism reformulated as blind pump), and CONJECTURE (AdS/CFT correspondence, CDT/MERA emergence). The document is organized as follows. Part I establishes the constitutional foundations, including the Matter/Non-Matter constitutional chain, Barrier Asymmetry conditionalized, and the QFT vs. EET ontological incommensurability. Part II defines QM as non-matter dynamics, establishes the wavefunction as the complex amplitude of non-matter propagation (with systematic comparison to all major QM interpretations), and delineates the constitutional domain boundaries. Part III provides the complete companion ontology interface system, synchronized through June 2026. Part IV-A presents the mathematical foundations, including the Schrödinger equation dual-path derivation and the constraint network path integral. Part IV-B develops quantum states and dynamics, with entanglement re-expressed as shared constraint boundary topology. Part IV-C provides the measurement framework—the non-matter → matter constitutional transition, five-channel measurement, and responses to Frauchiger-Renner, Leggett-Garg, and indefinite causal order. Part IV-D presents the unified two-channel decoherence model and the quantum-to-classical crossover governance with the L_branch concept. Part IV-E treats the vacuum as the N=0 ground state. Part V covers cross-scale instantiation. Part VI provides nine falsifiable predictions. Part VII lists eleven constitutional open problems. Part VIII systematically registers EET constitutional responses to twenty-six major problems in quantum mechanics. Part IX registers the academic priority of forty-eight constitutional claims. Quantum mechanics is the dynamics of the non-material substrate at its optimal operating point. Measurement is the constitutional transition from non-matter to matter. The Schrödinger equation is the deterministic law of non-matter propagation. The Born rule is the statistical law of the non-matter/matter interface. Together, they constitute the complete constitutional framework of quantum mechanics in EET. Keywords: Non-matter dynamics; matter/non-matter distinction; constraint network; coherent free-state propagation; measurement as constitutional transition; two-channel decoherence; quantum-to-classical crossover; encapsulation-depth refinement; Born rule as interface statistics; η-generalized Lindblad equation; emergent Minkowski spacetime; line graph duality; constitutional ontology of quantum mechanics; Energy-Efficiency Theory.
How does measurement work, quantitatively, under finite energy? The Ontology of the Observer v2.3 (Part IV) establishes the constitutional structure of measurement --- that measurement is constraint formation, that it is governed by a tripartite η\etaη-coupling, and that its precision is bounded by the product of three cooperative capacities Γ(ηT)⋅Γ(ηP)⋅Γ(ηO)\Gamma(\eta_T) \cdot \Gamma(\eta_P) \cdot \Gamma(\eta_O)Γ(ηT​)⋅Γ(ηP​)⋅Γ(ηO​). Energy-Efficient Modelology v2.8 establishes the methodological position of measurement --- Fidelity Testing (Stage III), the stage where a model's predictions are tested against real-space energy exchange. But neither document provides the quantitative operational model: the physical expression of SNR0\mathrm{SNR}_0SNR0​, the definition of ηmeas\eta_{\mathrm{meas}}ηmeas​, the per-factor variance decomposition, the dimensional structure of the trilemma, or the complete energy accounting of a single measurement event. This document provides that operational expansion. Version 2.0 is a complete constitutional reconstruction, upgrading the Measurement Ontology from v1.1 (Core Rules v5.3 alignment) to v6.0 alignment as a dual-anchored operational deepening satellite. \textbf{Dual Anchoring.} The Measurement Ontology is uniquely positioned at the intersection of the Physical Constitution (as SAT of Observer v2.3 Part IV) and the Cognitive Constitution (as physical executor of Modelology v2.8 Stage III). It is neither a constitutional mother text nor a single-domain satellite --- it is the operational bridge between the physics of constraint formation and the methodology of model validation. \textbf{Mathematical Core Rebuilt.} The erroneous Γ(η)=121−((η−1)/(η+1))2\Gamma(\eta) = \frac{1}{2}\sqrt{1-((\eta-1)/(\eta+1))^2}Γ(η)=21​1−((η−1)/(η+1))2​ is replaced by the v6.0 authoritative form Γ(η)=1−x2\Gamma(\eta) = 1 - x^2Γ(η)=1−x2 with Γ(1)=1\Gamma(1) = 1Γ(1)=1. SNR0\mathrm{SNR}_0SNR0​ is given its physical expression: SNR0=Ebform/AEET=2Ebform/ℏ\mathrm{SNR}_0 = E_b^{\mathrm{form}}/\mathcal{A}_{\mathrm{EET}} = 2E_b^{\mathrm{form}}/\hbarSNR0​=Ebform​/AEET​=2Ebform​/ℏ. ηmeas\eta_{\mathrm{meas}}ηmeas​ is defined as the geometric mean of the tripartite η\etaη-ratios, with derivation from the multiplicative structure of the SNR bound. The trilemma formula is corrected to dimensionless form with the cost rate C˙\dot{C}C˙ defined as the observer's total operational power P∗OP_*^OP∗O​. All dependent derivations are recalculated. \textbf{Uncertainty Principle --- First-Principles EET Derivation.} The Heisenberg uncertainty principle is derived directly from the L-1 Constitutional Presuppositions --- Finite Distinguishability (state space is discrete, minimum distinguishable difference dmin⁡d_{\min}dmin​ exists) and Finite Actionability (minimum action quantum AEET=ℏ/2\mathcal{A}_{\mathrm{EET}} = \hbar/2AEET​=ℏ/2) --- without borrowing wave-particle duality, de Broglie relations, or any external quantum postulate. The η\etaη-generalized form follows naturally from the cooperative capacity modulation of both resolution and action cost. \textbf{QM↔\leftrightarrow↔Measurement Duality Completed.} QM v3.0 (Part I \S6) registered the QM side of this CLOSED constitutional duality. This document registers the measurement side: QM describes Divide-dominant coherent propagation; Measurement describes Cut→\rightarrow→Encapsulate coherent termination. The duality is now bidirectionally registered. \textbf{Modelology Integration.} The P-E-F-U cycle is identified as the atomic unit of the Modelology micro-cycle (Stage II ↔\leftrightarrow↔ Stage III). Each measurement event is one P-E-F-U cycle; the micro-cycle aggregates multiple cycles before Adjudicate makes a structural-level decision. This nesting relation explains why single measurements rarely trigger paradigm shifts: A(v,t)A(v,t)A(v,t) must accumulate over many cycles before crossing Ebmelt(v)E_b^{\mathrm{melt}}(v)Ebmelt​(v). \textbf{22 Companion Bridges.} The measurement ontology now bridges to 22 companion documents, including 14 new bridges to Causality v1.8 (Causal Arbitrage Theorem, Kmax⁡K_{\max}Kmax​ causal compression), Contradiction v1.6 (Gap→\to→Tension→A(t)→\to A(t)\to→A(t)→Divide generation chain, seven-state classification, Ω(v)\Omega(v)Ω(v) synergistic meltdown index), Ben-Se v3.3 (Four Universal Laws measurement instantiation, Degeneration Corridor, Adjudicate Power Failure, constraint circle), Xu-Shi v3.3 (Self-Measurement Paradox, Pseudo-Shi, Operational Feasibility Table, Four Virtues), QM v3.0 (no-cloning from Cut asymmetry), Phase Transition v3.0, Statistical Mechanics v2.0, and Hierarchical Depth v3.1. Resources Constitution bridges are classified as OPERATIONAL USAGE --- measurement deploys all four resource dynamics without belonging to them. \textbf{New Operational Content.} Version 2.0 adds the complete energy accounting of a single measurement event (six-stage energy flow from probe injection through permanent maintenance), the Sacred Triangle measurement expression (ΔSprod⋅Irecord≈kB⋅Ebform\Delta S_{\mathrm{prod}} \cdot I_{\mathrm{record}} \approx k_B \cdot E_b^{\mathrm{form}}ΔSprod​⋅Irecord​≈kB​⋅Ebform​), the S˙inv\dot{S}_{\mathrm{inv}}S˙inv​--SNR quantitative coupling, multi-probe generalization of the tripartite framework, continuous weak measurement in EET, the preferred basis as a consequence of constraint network locality, Πsink\Pi_{\mathrm{sink}}Πsink​ as cascaded consolidation, the measurement record lifecycle, non-destructive vs.\ destructive measurement classification, constitutional limits of measurability, and measurement as causal arbitrage. \textbf{Constitutional Status}: This document does \textbf{not} claim CLOSED-in-EET status. All theorems carry \textbf{STANDARD} (operational expansion of CLOSED structural forms) or \textbf{WORKING HYPOTHESIS} (empirically calibrated models) status. {Keywords}: Measurement; uncertainty; tripartite η\etaη-coupling; SNR bound; variance quadripartition; race-to-threshold; measurement trilemma; Zeno/Anti-Zeno; POVM; Cross-Constitutional Nexus; QM↔\leftrightarrow↔Measurement duality; Fidelity Testing; Modelology; Energy-Efficiency Theory
From this chapter we start our exposition of quantum mechanics. First, we lay down the typical setting of a quantum mechanical problem. The fundamental feature of quantum indeterminism and the probabilistic nature of quantum mechanics is emphasized. We proceed by constructing, from the single notion of measurement, all the essential conceptual ingredients of quantum mechanics (i.e., the concepts of observable, state and system). Then we formulate the target questions that quantum mechanics aims to solve. Next, we proceed to state the specific laws that constitute the logical premise of the subject. Finally, we demonstrate how the laws, most dominantly, the superposition principle (the fact that quantum probabilities interfere) provides an improved recipe for obtaining the answers to the target questions of quantum mechanics. This also leads to a more refined definition of the quantum state. In order to be able to quickly introduce the basic framework of quantum mechanics, we restrict the discussion to a simple scenario of “instantaneously subsequent measurements” (where there is no time evolution), and where states can be prepared by a single measurement (in the standard jargon, this would be called, “quantum mechanics without degeneracy”; these are descriptions involving CSCOs comprising just one observable).
What is an observer? Quantum mechanics requires one for measurement but has never defined one. Statistical mechanics invokes one for entropy but has never specified what it is. Cosmology depends on one but cannot say where it stands. For a century, physics has treated the observer as a primitive — a black box whose internal structure is irrelevant to fundamental theory, whose defining features are left to philosophy, and whose necessary connection to the physical world remains unarticulated. This document provides the constitutional answer within the Energy-Efficiency Theory framework. An Observer is a constraint network subsystem that executes the detection → registration operation chain. Detection: basal differences in the environment (L2, free and inexhaustible) produce physical imprints on the Observer's detection interface through energy exchange — these imprints are Transient Events (CND v4.0: S₃ → S₂ → S₀), short-lived constraint excitations that dissipate if not registered. Registration: a physical imprint, upon satisfying five conditions (A(t) ≥ E_b^form, Γ(η) > 0, maintenance coupling probability P_maint > 0, template matching, and τ_reg < Δt), is bound by a constraint boundary and sustained by maintenance energy — becoming constraint-anchored information (L3, Information Ontology v3.4) = Being = Matter (Two Forms of Energy v3.4, P0.5). Each registration event costs at minimum A_EET = ħ/2 (Bifurcation Duality Theorem, CLOSED-in-EET). This definition is universal. It applies to a Geiger counter (detection = ionization → electron avalanche; registration = pulse counting into a register), to a thermometer (detection = thermal expansion → liquid column displacement; registration = scale marking), to a human scientist (detection = sensory transduction; registration = neural encoding), and to an AI inference engine (detection = sensor input; registration = memory storage). The Observer does not require an internal model. Internal modeling is the defining feature of the CCN subclass (Cognitive Constraint Networks v1.0: Observer + Internal Model). This single revision resolves the century-old impasse: instruments are Observers, measurement does not require consciousness, and the Heisenberg Cut is the Type I / Type II interface of the constraint network — not an arbitrary division between "quantum system" and "classical observer." Version 2.4 is a comprehensive constitutional upgrade. The core definition is re-anchored in Information Ontology v3.4 (constraint-anchored information = Being = Matter), Difference Ontology v3.3 (basal difference → constraint-anchored difference), and CND v4.0 (Transient Event → Formation). All physical operations are described using CND v4.0 five-operation grammar. The Π triple decomposition is physically re-anchored. A_EET = ħ/2 is registered as a CLOSED constitutional constant. The Five-Channel Complete Constraint Second Law provides the thermodynamic framework for Observer noise decomposition and degradation dynamics. Barrier Asymmetry is conditionalized: E_b^melt ≫ E_b^form emerges from Γ(η) decay at η ≠ 1; at η = 1, the Formation/Meltdown Energy Symmetry holds. Full companion ontology version synchronization through June 2026. All v2.3 constitutional content preserved. The document establishes the Observer as a general physical concept — as fundamental to the architecture of constraint networks as particles and fields are to the architecture of matter. Detection → registration is the irreducible atomic unit of observation. Every physical record in the universe, from the first ionization track in a cloud chamber to the last entry in a laboratory notebook, is a product of this operation chain. The Observer is not an external witness to physical reality. The Observer is a physical subsystem within it — a constraint network that selects, binds, and sustains specific patterns of the substrate as persistent Being. Keywords: observer; detection → registration; constraint-anchored information; constraint network; epistemic agent; measurement; thermodynamic necessity; Π triple decomposition; tripartite η-coupling; instrument observer; CCN; Energy-Efficiency Theory
Quantum mechanics is not fundamental. It is the coherence field K(t,x) projected into Hilbert space — a degenerate representation that has lost the coherence metric. Unitarity (U†U = I) is not a law of nature — it is the local expression of 1=1 in Hilbert space, valid when K > K_crit. When K approaches K_crit, unitarity breaks — this is measurement. The quantum jump is RCR (Recursive Constraint Regulation) at quantum scale: the system’s evaluation function is replaced because the old state is no longer coherent. Falsifiable prediction: a precursor signal — measurable coherence decrease — should precede every quantum jump, testable with Ramsey interferometry and quantum optics. The quantum-classical boundary is K_crit, not a fixed scale. Part of the Spektre research corpus.
Wave Physics REAL v1.0 is the L4 structural realization document that instantiates the complete phenomenology of wave propagation — electromagnetic, mechanical, and matter waves — within the constitutional framework of the EET constraint network theory. Building on eighteen mother texts and five completed REALs, this document establishes a unified constitutional foundation for all wave phenomena through six constitutional propositions (P1–P5 plus P-WAVE-0) and a general wave dynamics framework spanning thirty-three sections in Part II, covering the constraint network wave equation, dual-channel damping, resonance and the degeneration corridor, the graph path integral and interference, the U(1) graph connection and polarization, the Capture channel and lasers, wave thermodynamics, solitons, shock waves, Anderson localization, wave turbulence, non-Hermitian wave physics, and transformation optics. The document is distinguished by three features. First, constitutional honesty: the refractive index is explicitly identified as a constitutional open problem inherited from EM v2.0's internal self-consistency crisis. Three candidate forms are juxtaposed, their respective constitutional support levels are documented, and a PM-9 compliant experimental discrimination protocol (P-WAVE-1) is provided. All WORKING HYPOTHESIS entities are explicitly labeled. The wave impedance η₀ = 377 Ω being η-invariant (CLOSED structural form) is registered as the sole constitutionally closed fact constraining the refractive index. Second, nine body-grade controversy resolutions: wave-particle duality is reduced to line graph duality — a theorem of graph theory requiring no supplementary interpretation; quantum measurement is resolved as the Detection → Registration operational chain (Observer v2.4, CLOSED), with the Heisenberg Cut physically located at the Type I/Type II constraint boundary; the wave time arrow is derived from Barrier Asymmetry (Causality v2.0, CLOSED); the spin-statistics theorem is reduced to Type I vertex exclusivity; the Hartman tunneling time controversy is resolved by recognizing tunneling as a Transient Event; neutrino oscillation is identified as a Laplacian quantum beat; gravitational wave memory is identified as the gravitational-domain manifestation of the plastic damping channel; the non-Hermiticity of wave physics is shown to be constitutionally inevitable rather than engineered; and the Wheeler delayed-choice experiment is resolved by recognizing that the photon, as non-matter, has no persistent history. Third, seven academic priority registrations (Appendix X) stake original EET claims on the Abraham-Minkowski momentum controversy (dual-channel decomposition), the Dicke superradiant phase transition no-go theorem (five-channel open-system bypass), non-Hermitian topology classification (natural non-Hermitian graph Laplacian framework), single-bubble sonoluminescence (extreme constraint network Formation cascade), the Unruh effect (causal truncation of N=0 transient constraint events), Quantum Darwinism (Physical Selection Theorem as the general framework), and weak measurement (Truncate + Capture operational chain). The entire content is zero-blocking: all upstream constitutional sources are complete. Five falsifiable predictions (P-WAVE-1 through P-WAVE-5) with full PM-9 compliant statistical specifications are provided. Forty bridge declarations link the document to its twenty-eight mother texts, five companion REALs, and the simultaneously drafted Electronics/Circuit Theory REAL v1.0 through four cross-domain bridges. Keywords: constraint network wave equation, dual-channel damping, graph path integral, U(1) graph connection, Capture channel, degeneration corridor, wave-particle duality, line graph duality, quantum measurement, non-Hermitian wave physics, PT symmetry, exceptional points, Anderson localization, solitons, shock waves, wave turbulence, transformation optics, refractive index constitutional open problem, five-channel complete constraint second law, ringing test, Energy-Efficiency Theory