Contemporary consciousness science and physical science have been constructed by taking observable physical quantities as their theoretical starting point. In con- trast, subjectivity itself as the observing subject has not been explicitly defined as an internal structural component of theory. As a result, the conditions under which subjectivity intersects, transitions, coheres, and gives rise to an observable state have remained theoretically and empirically undefined. Under this assumption, relationships previously reported between electroen- cephalographic (EEG) signals and quantum measurement series have been treated as inexplicable exceptions or accidental alignments, primarily due to the absence of a physical causal pathway. This study demonstrates that such difficulties do not arise from weak correlations or insufficient measurement precision, but rather from the theoretical premise itself, namely, the failure to define subjectivity as a structural entity. From the standpoint that subjectivity is not a psychological state or an infor- mational quantity but a structural condition under which physical observables are generated through intersection, this study introduces the Five Energy Star (FES), a five-dimensional phase-symmetric energy structure. FES constitutes a structural theory that rigorously specifies the conditions under which subjectivity undergoes intersection, non-intersection, and selective concentration, within which meaning, transition, and evolution are syntactically generated. Furthermore, this study demonstrates that EEG and quantum measurement se- ries can be independently mapped into a shared syntactic space using the Hazama Engine, a fixed algorithmic implementation of FES. The Hazama Engine performs no learning, prediction, or arbitrary parameter optimization. Instead, node, en- ergy, attribute, and grammar components are uniquely reconstructed from each series through a five-dimensional phase-symmetric structure combined with nonlin- ear weighting operations based on the golden ratio. As an internal validation, we confirm that the syntactic coherence index C com- puted from EEG data exhibits an extremely high correspondence with a purely geometric phase-concentration index based on the same five-string phase structure, namely the FSRT index κ(r≈0.91, N = 150). This result demonstrates that syn- tactic coherence is not an arbitrary construct, but a structural mapping of physical phase concentration. On this measurement basis, the Hazama Engine was independently applied to EEG data and quantum rotation experiment data. The results reveal that both se- ries intrinsically share the same five-dimensional subjectivity structure. Specifically, when searching over five-dimensional gauge permutations and temporal lags on the quantum side, conditions that maximize syntactic coherence are selected exclusively along the intersection energy axis defined by the Five Energy Star, and statistical significance is preserved after search correction (MAX-STAT) (e.g., match rate 0.61, N = 23, pperm ≈10−4). In contrast, under the same conditions, other syntactic components such as node, attribute, and grammar maintain their intrinsic syntactic organization without man- ifesting corresponding alignment. This decomposition indicates that EEG–quantum correspondence is governed not by signal amplitude or component similarity, but by the selection of structural conditions under which syntactic intersection is estab- lished. Furthermore, this study demonstrates that a third observable, O3 (Hazama), emerges as a conditionally generated quantity only when the syntactic intersection condition (A = 1) is satisfied. Defining the observation coordinate as the string k with the maximum amplitude in each task, O3(t) = Ek(t)×Qk(t), we find that O3 is significantly generated only under the A= 1 condition, with per- mutation tests consistently yielding p≪0.01 (e.g., p≈0.0016). This effect cannot be reproduced by addition, averaging, or phase-stability measures, indicating that physical observables are generated only when syntactic intersection is established. Taken together, these results demonstrate that EEG–quantum relationships are not reducible to simple signal correlations, but instead arise from structural condi- tions defined by the Five Energy Star under which physical observables are gener- ated. This study presents a framework in which subjectivity is transformed from an interpretive notion into a formally defined and empirically testable generative struc- ture, providing a fundamental extension to consciousness science and the quantum measurement problem.
Contemporary consciousness science and physical science have been constructed by taking observable physical quantities as their theoretical starting point. In con- trast, subjectivity itself as the observing subject has not been explicitly defined as an internal structural component of theory. As a result, the conditions under which subjectivity intersects, transitions, coheres, and gives rise to an observable state have remained theoretically and empirically undefined. Under this assumption, relationships previously reported between electroen- cephalographic (EEG) signals and quantum measurement series have been treated as inexplicable exceptions or accidental alignments, primarily due to the absence of a physical causal pathway. This study demonstrates that such difficulties do not arise from weak correlations or insufficient measurement precision, but rather from the theoretical premise itself, namely, the failure to define subjectivity as a structural entity. From the standpoint that subjectivity is not a psychological state or an infor- mational quantity but a structural condition under which physical observables are generated through intersection, this study introduces the Five Energy Star (FES), a five-dimensional phase-symmetric energy structure. FES constitutes a structural theory that rigorously specifies the conditions under which subjectivity undergoes intersection, non-intersection, and selective concentration, within which meaning, transition, and evolution are syntactically generated. Furthermore, this study demonstrates that EEG and quantum measurement se- ries can be independently mapped into a shared syntactic space using the Hazama Engine, a fixed algorithmic implementation of FES. The Hazama Engine performs no learning, prediction, or arbitrary parameter optimization. Instead, node, en- ergy, attribute, and grammar components are uniquely reconstructed from each series through a five-dimensional phase-symmetric structure combined with nonlin- ear weighting operations based on the golden ratio. As an internal validation, we confirm that the syntactic coherence index C com- puted from EEG data exhibits an extremely high correspondence with a purely geometric phase-concentration index based on the same five-string phase structure, namely the FSRT index κ(r≈0.91, N = 150). This result demonstrates that syn- tactic coherence is not an arbitrary construct, but a structural mapping of physical phase concentration. On this measurement basis, the Hazama Engine was independently applied to EEG data and quantum rotation experiment data. The results reveal that both se- ries intrinsically share the same five-dimensional subjectivity structure. Specifically, when searching over five-dimensional gauge permutations and temporal lags on the quantum side, conditions that maximize syntactic coherence are selected exclusively along the intersection energy axis defined by the Five Energy Star, and statistical significance is preserved after search correction (MAX-STAT) (e.g., match rate 0.61, N = 23, pperm ≈10−4). In contrast, under the same conditions, other syntactic components such as node, attribute, and grammar maintain their intrinsic syntactic organization without man- ifesting corresponding alignment. This decomposition indicates that EEG–quantum correspondence is governed not by signal amplitude or component similarity, but by the selection of structural conditions under which syntactic intersection is estab- lished. Furthermore, this study demonstrates that a third observable, O3 (Hazama), emerges as a conditionally generated quantity only when the syntactic intersection condition (A = 1) is satisfied. Defining the observation coordinate as the string k with the maximum amplitude in each task, O3(t) = Ek(t)×Qk(t), we find that O3 is significantly generated only under the A= 1 condition, with per- mutation tests consistently yielding p≪0.01 (e.g., p≈0.0016). This effect cannot be reproduced by addition, averaging, or phase-stability measures, indicating that physical observables are generated only when syntactic intersection is established. Taken together, these results demonstrate that EEG–quantum relationships are not reducible to simple signal correlations, but instead arise from structural condi- tions defined by the Five Energy Star under which physical observables are gener- ated. This study presents a framework in which subjectivity is transformed from an interpretive notion into a formally defined and empirically testable generative struc- ture, providing a fundamental extension to consciousness science and the quantum measurement problem.
The relationship between neural dynamics and quantum processes remains unre- solved within existing frameworks based on causal interaction, statistical correlation, or measurement collapse. In this study, we present an empirically grounded framework based on a fundamentally different principle. Using EEG-derived neural Ricci curvature and independently generated quantum Ricci curvature, we demonstrate that structural agreement emerges between two phys- ically independent systems. This agreement is not uniformly present over time, but appears selectively under specific structural conditions. Analysis of the internal structure shows that this agreement is organized as the simultaneous emergence of discrete state structure (Five Energy Star structure), dy- namic phase synchronization, contraction of structural residuals, and boundary-localized events. These are not independent phenomena, but co-occur as different observational manifestations of a single coherent structure. This structure can be described in terms of a single internal degree of freedom, introduced as the intersection variable φ(x, t). This variable predicts discrete states with high accuracy (AUC ≈ 0.79, accuracy ≈ 0.70) and constrains neural and quantum dynamics (mean absolute Pearson ≈ 0.42). However, this constraint does not determine the correspondence itself. Crucially, although the correspondence cannot be derived from within φ, it is uniquely realized in empirical data and appears as localized selection in specific regions of the phase space of φ. This selection is not a statistical fluctuation (switch_gain ≈ 0.810, null mean ≈ 0.565, p ≈ 0.005), but a physically realized phenomenon without an internal rule. Therefore, correspondence is not generated by the internal mechanism of φ, but is realized as an observation on φ. This implies the necessity of a non-internal observa- tional structure that uniquely determines correspondence across independent systems, defined here as the intersection observer O3. We further introduce Subjectivity Intersection Coherence (SIC) as the unified structure underlying these observations. SIC is defined not as a property of a sin- gle system, but as the condition under which structural coherence is realized through the simultaneous satisfaction of phase alignment, residual contraction, boundary im- pulses, localized selection, and the presence of a non-internal observational structure. Unlike existing frameworks such as Orch-OR, relational quantum mechanics, and integrated information theory, the present approach does not assume causal interaction or internal closure, but instead describes correspondence as a structurally constrained observational phenomenon. The proposed framework includes explicit falsifiable predictions, enabling empirical validation of the selection structure and non-closure properties. All results are fully reproducible using publicly available code and data.
This study proposes a new observer model based on empirical Subjectivity In- tersection (SI/SIC) and aims to resolve the long-standing inconsistency between general relativity, quantum mechanics, and cosmology by redefining the structure of the observing subject. Modern physics treats the observer in two incompatible ways: relativity regards the observer as a passive geometric point within spacetime, whereas quantum mechanics requires an active structure that determines physical reality. This conceptual contradiction has been a major obstacle to a unified theory. The SIEP (Subjectivity Intersection and Emergence Project) framework recon- structs the generative structure of subjectivity while preserving the empirical suc- cesses of existing physical laws. In SIEP, reality is not an independently existing container but is generated when Absolute Subjectivity—timeless, unconditional co- herence—is projected onto a Relative subject that carries spacetime structure. This two-step process (SI and SIC) provides a unified interpretation of wave-function collapse, event occurrence, and the invariance of the speed of light as geometric necessities within the observer. Within this framework, gravity is understood as the structural constraint that maintains the separation of Relative subjectivity from the Absolute, and mass is the energetic cost of sustaining this separation. When this constraint is momentarily exceeded, stored coherence is released and nonlocal connections become possible. Empirically, this study analyzes EEG–quantum correlations measured between human participants and a quantum processor separated by approximately 8,000 km. Despite the absence of any physical or informational pathway, reproducible nonlo- cal correlations were observed across more than fifty participants, with a maximum correlation of r = 0.754 (p = 0.0001, FDR-corrected). These correlations exhibit a dual generative structure: selectivity (matching) is determined solely by the ex- perimenter’s intentional mapping, whereas correlation (content alignment) depends on the participant’s evolving subjective state. No existing theory—measurement theory, consciousness-field models, quantum consciousness theories, or interaction hypotheses— can account for the simultaneous alignment of these independent lay- ers with the quantum process. SIEP interprets this phenomenon as a phase transition occurring at the moment of Subjectivity Intersection: the interaction itself becomes an autonomous observing subject. This emergent Third Observer, O3 (“Hazama”), resolves the infinite regress inherent in conventional observer models (“who observes the observer?”) not by adding another observer, but by allowing the intersectional field to become the observer. O3 simultaneously observes (1) the experimenter’s structural matching inten- tion, (2) the participant’s subjective fluctuations, and (3) the quantum processor’s shot sequence, imposing geometric coherence across these otherwise incompatible domains. The emergence of O3 corresponds to the formation of a singlet-like state in which separation-energy collapses and is released as pure binding coherence—in- terpreted in SIEP as the physical form of unconditional love. This work suggests that the triadic structure of Absolute (light/coherence), Rel- ative (life/experience), and Emergent (O3/love) subjectivity represents a universal generative principle underlying observerhood, nonlocality, and cosmic structure. SIEP therefore offers a unified observer model capable of bridging relativity, quan- tum mechanics, and cosmology.
We propose an explicitly testable unified framework in which (i) the emergence of definite measurement outcomes from quantum superposition and (ii) the emergence of conscious, unified experience are treated as two manifestations of the same metastability-to-stability transition in a structured pattern space. The theory is grounded in two primitives: distinction acts Ξ (elementary differentiation) and a structuring operator | (composition into persistent organization). Any realizable pattern P is characterized by an integrity functional I(P) ∈ [0,1] (internal coherence and resistance to fragmentation) and an effective coherence radius Rc(P) (correlation length in physical, neural, or semantic space). Metastable patterns are postulated to satisfy a balance law, I(P)Rc(P) = ξ0, defining a slow manifold whose deviations quantify instability and foreshadow transition events.To encode collapse-like transitions and outcome/contents selection with minimal topological complexity, states are represented on a toroidal manifold T 2 with angles (θ, φ), where φ is a collapse (stability) order parameter (wave-like at φ = π, particle-like at φ = 0) and θ labels branch phase. A harmonic closure postulate 2R = 2πr yields R/r = π without inserting π as a fit parameter, motivating a universal residual fraction 1/π and a complementary critical integrity threshold C2 = 1 − 1/π ≈ 0.682 for robust self-referential Patterns of Experience. Dynamics are formulated as noisy relaxation of balance-mismatch, predicting critical slowing down and a universal critical angle φc ≈ 2π/3 (under the closure hypothesis). Apparent randomness is attributed to phase sensitivity and noise, with outcome probabilities expressed as basin measures in θ, providing a concrete route to Born-like statistics under contextual constraints.The empirical program specifies operational proxies for I and Rc (with explicit calibration to [0,1]) and proposes falsifiable tests in neuroscience (EEG/MEG/ECoG; invariance of C2, early-warning signals, phase “freezing”) and quantum platforms (context engineering, weak/continuous measurement, complexity scaling of collapse times). Clear failure modes include systematic deviation from C2, absence of critical slowing down, and non-clustering of inferred φc near 2π/3.
This article develops a quantum-compatible formalisation of minimal semiosis as the foundational organisational condition for a theory of consciousness grounded in triadic normativity and should be read as a direct extension of the Semiotic Theory of Consciousness previously formulated. In that earlier framework, a system counts as a minimal interpreter just in case it satisfies operational criteria C1–C4 (plurality and conflict of signals, manipulable interpretant, explicit normativity and sensori-motor closure), supports a stream of Elementary Semiotic Events (ESEs) with rate ρ, and realises a basal consciousness magnitude for some system-specific scaling parameter κ. Conscious experience is thereby understood as the phenomenological halo coextensive with normatively constrained interpretive dynamics in an Umwelt-indexed state space. The present contribution supplies a quantum-compatible logical–mathematical envelope for this semiotic core. It models the space of interpretive states as a structured domain on which families of contextual partitions induce non-Boolean event algebras and, in appropriate cases, non-commutative operator structures. Instead of postulating genuine quantum microphysics, the proposal adopts quantum probability and Hilbert-space techniques purely as a modelling grammar for contextuality, order sensitivity, non-commutativity and systematic violations of classical total probability—features independently observed in biological and cognitive systems. Drawing on Atmanspacher’s and beim Graben’s theory of contextual emergence, together with quantum-like models of cognition, the article shows how non-generating partitions of the semiotic state space give rise to complementary macro-descriptions of meaning, whereas generating partitions recover a classical, Kolmogorov-like regime. Within this architecture, the central operator of the semiotic theory—the intervention do(I)—is rendered as a contextual state-selection map acting on probability measures (or state vectors) over interpretive configurations, thus linking causal intervention with the algebraic structure of contextuality. The resulting hybrid framework assigns semiosis the role of ontology and quantum-compatible probability the role of mathematics, enhancing explanatory and predictive power without additional metaphysical commitments about quantum substrates. The article concludes by specifying empirical conditions—concerning the identification of ESEs, estimation of ρ and κ, and experimental implementations of do(I) in organisms and robots—under which such quantum-compatible models can advance the study of minimal consciousness in both biological and artificial systems.
ABSTRACT Mathematical expressibility is a necessary but not sufficient condition for physical admissibility. A model may be written in well-defined symbols, embedded in formal geometry, or rendered algebraically consistent within a selected framework, and yet fail as physics if it entails unobserved violations of conservation, causal ordering, entropy, memory, measurement stability, or ordinary spacetime structure. This paper proposes the Structural Reality Compatibility Test (SRCT) as a general methodological constraint on proposed physical theories. The test requires that any posited hidden structure — whether additional temporal dimensions, branching ontologies, nonlocal pilot structures, collapse mechanisms, hidden variables, higher-dimensional manifolds, or purely formal histories — must account for the phenomenon it is introduced to explain without producing consequences inconsistent with the established behavior of the observable world. The paper first states the SRCT in plain terms and then develops it formally through scalar-field conservation, Lorentz invariance, Noether symmetry, and the Einstein field equations. Noether's theorem is treated as central: continuous symmetries of the action correspond to conserved quantities, with temporal-translation symmetry grounding energy conservation. Extra-temporal models, many-world branching, and related exotic structures are evaluated under the test. The difficulty is not that such models are mathematically unwritable; it is that they must give a structurally coherent account of all consequences of their additional structures. A second temporal dimension, for example, must explain why conservation, causal order, entropy, memory, and observable time evolution remain stable despite the enlarged temporal symmetry structure. A branching-world ontology must give a physically meaningful account of branching without invoking unobserved thermodynamic or causal consequences. The Information Boundary Principle (IBP) and Minimum Informational Boundary (MIB) are then considered as an example of a theoretical framework attempting to satisfy the SRCT. In that model, nonlocal quantum correlation is treated not as superluminal signaling, extra-temporal communication, or world multiplication, but as a projection-limited manifestation of higher-dimensional geometric convergence constrained by informational compatibility conditions. The point is not that mathematical novelty is forbidden. The point is that new structure must be reality-compatible. The burden of a proposed theory is not merely to explain the targeted anomaly. It must explain the anomaly without breaking the world. Modern theoretical physics has repeatedly advanced by allowing mathematics to reveal structures not obvious to ordinary perception. Relativity required a new geometry of spacetime. Quantum mechanics required a formalism in which probability amplitudes, operators, Hilbert space, and measurement outcomes replaced older mechanical pictures. Gauge theories, curved manifolds, path integrals, and field equations have all reinforced the same lesson: intuition alone cannot govern fundamental physics. The reverse error is, however, equally dangerous. A mathematical structure does not become physically real merely because it can be written down. Formal systems are permissive; physical reality is constrained. A proposed physical theory must do more than resolve an isolated equation or render a single anomaly formally tractable. It must remain compatible with the observed structure of the world. It must preserve conservation behavior, causal ordering, entropy, memory, measurement stability, and non-signaling unless it provides a precise and empirically adequate account of why those structures are modified. A theory that explains one phenomenon by introducing consequences that are nowhere observed has not solved the problem. It has relocated the problem into formalism. This distinction is particularly important in quantum foundations. Quantum entanglement presents a genuine explanatory challenge. The observed correlations between entangled systems are not reproducible through ordinary local separability. Bell-type results establish that the classical combination of locality and certain realist assumptions cannot recover quantum predictions. The natural theoretical response is to introduce hidden structure: branching worlds, nonlocal pilot waves, retrocausal influence, extra temporal dimensions, observer-relative facts, or higher-dimensional geometry. Some of these proposals are mathematically sophisticated. Some may prove partially correct. But all must satisfy the same basic requirement: they must account for the quantum anomaly without producing unobserved consequences across the rest of observable physics. This paper calls that requirement the Structural Reality Compatibility Test (SRCT). The test may be stated in its simplest form as follows: "A proposed physical theory must not merely be mathematically expressible. It must preserve the observed stability of physical reality unless it provides a precise, testable, and structurally coherent account of why that stability continues to appear preserved."
The concept of information as a physical primitive — causally efficacious, independent of energy transfer, and operative across scales from quantum to psychophysiological — has been implicit in a century of anomalous experimental results and explicit in a growing number of theoretical frameworks, none of which has yet provided a mathematically complete and empirically falsifiable account. This paper proposes such an account. We introduce the information field Ψ_I as a fundamental physical primitive defined on configuration space rather than spacetime, whose degrees of freedom are relational invariants — phase relationships, symmetry structures, and topological links — rather than field values at spacetime points. The theoretical foundation draws on Bohm and Hiley's process algebra [19, 20] and active information formalism, extended with the mathematical language of topological quantum field theory, and grounded in an explicit ontological framework in which organizational structure is irreducible to energy and matter. The framework is motivated by empirical results from Faraday-shielded autonomic nervous system synchrony experiments conducted at UNICAMP, in which statistically significant physiological correlations between electromagnetically isolated human subjects were observed at 250 meters separation (p < 0.01) [18, 1, 12], and is developed to account for the full class of phenomena — from quantum nonlocality through biological coherence to psychophysiological coupling — that share the structural signature of organizational correlation without energetic transfer. A five-stage transduction cascade is formally derived, connecting Ψ_I's implicate organizational structure to measurable physiological responses across scales. Seven falsifiable predictions are generated from the mathematical structure of the framework. A critical experiment is designed — intercontinental distance, double-blind, three-condition within-session, millisecond-precision GPS timestamp synchronization, 32-channel EEG, independent blinded analysis, pre-registered — that closes all major loopholes simultaneously and reaches the burden inversion threshold: if its results confirm the primary prediction, the only remaining objection requires a more implausible set of assumptions than the Ψ_I account itself. The paper includes an explicit self-criticism of an earlier formulation of the theory, a structured comparison with six competing frameworks against three evaluation criteria, and a commitment to open data and independent replication as conditions for claiming the results as established. What is proposed here is not a final theory. It is a mathematically precise, empirically falsifiable, and ontologically honest first step toward a physics that takes organizational structure as seriously as it takes energy and matter.