This paper reformulates the Generator Formula as a purely structural statement about symmetry and invariants, independent of interpretation, semantics, or psychology. We prove that reality generation depends exclusively on three minimal invariant structures under admissible transformations:(1) Information asymmetry, which must take the form of a divergence functional;(2) Resonance, which must be defined as a spectral invariant of a coupling operator;and (3) Intent, which must be formulated as a constraint or gauge selection rather than a forcing term. Each component is shown to be minimal through elimination of weaker alternatives. Pointwise differences, moment-based summaries, and forcing-type intent formulations are rigorously excluded due to violation of invariance, completeness, or falsifiability requirements. The resulting Generator Formula is established as a classification theorem, not a worldview: any structure contributing to reality generation must contain these invariant elements, regardless of interpretation or application domain. This work completes the transition of the RFC framework from interpretive formulations to a symmetry-based, mathematically rigorous foundation, and provides a direct pathway to quantum and cosmological extensions.
This paper reformulates the Generator Formula as a purely structural statement about symmetry and invariants, independent of interpretation, semantics, or psychology. We prove that reality generation depends exclusively on three minimal invariant structures under admissible transformations:(1) Information asymmetry, which must take the form of a divergence functional;(2) Resonance, which must be defined as a spectral invariant of a coupling operator;and (3) Intent, which must be formulated as a constraint or gauge selection rather than a forcing term. Each component is shown to be minimal through elimination of weaker alternatives. Pointwise differences, moment-based summaries, and forcing-type intent formulations are rigorously excluded due to violation of invariance, completeness, or falsifiability requirements. The resulting Generator Formula is established as a classification theorem, not a worldview: any structure contributing to reality generation must contain these invariant elements, regardless of interpretation or application domain. This work completes the transition of the RFC framework from interpretive formulations to a symmetry-based, mathematically rigorous foundation, and provides a direct pathway to quantum and cosmological extensions.
This paper gives a Hilbert-space realization of the Generator Formula using only standard quantum structures and invariants. Information asymmetry is defined canonically as quantum relative entropy ΔIQ:=S(ρ∥σ)\Delta I_Q := S(\rho\|\sigma)ΔIQ:=S(ρ∥σ), with unitary invariance and monotonicity under CPTP maps (data-processing). Resonance is formulated as a basis-independent spectral or response invariant, using either spectral functionals of the Hamiltonian or experimentally accessible linear-response susceptibilities (Kubo formalism). Intent is defined minimally as selection, not forcing: either a POVM choice (measurement design) or an admissible control constraint set in quantum control. The resulting quantum generator is expressed as GQ:=RQ⋅ΔIQ⋅IQ,G_Q := R_Q \cdot \Delta I_Q \cdot I_Q,GQ:=RQ⋅ΔIQ⋅IQ, with exact invariance under unitary transformations and non-increase under general CPTP dynamics. Within this framework, “collapse” is treated as trajectory/outcome selection induced by measurement constraints, rather than an additional ontological postulate; decoherence appears as generator decay via entropic monotones. The paper maintains explicit philosophical neutrality and instead emphasizes invariants, operator structure, and testable consequences. Worked examples (two-level systems and the harmonic oscillator) and a technical appendix are included, connecting the framework to quantum information theory, linear response, and quantum control/optimization.
This article develops a structural interpretation of “archetype” within a framework where observer equivalence—understood as invariance under admissible perspective change—serves as the criterion of objectivity. Drawing on relativity theory, gauge structure, and quantum measurement theory, archetypes are reconstructed not as psychological images but as form-generating invariants that enable translatability and re-identifiability across perspectives. The paper argues that actuality should be understood as the outcome of selection and symmetry breaking rather than as the manifestation of pre-given substance. Within this framework, consciousness is interpreted structurally as perspective-bound actualization: the functional locus at which a possibility structure becomes bound to determinate outcomes, without invoking a homunculus and without endorsing “consciousness causes collapse” interpretations. The aim is to clarify the ontological implications of modern physics under a perspectival but non-subjectivist conception of physical law. The text is intentionally compact and programmatic, serving as a position note within a broader research agenda on observer equivalence and structural ontology.
Resonant Relativity (RRT) proposes a unifying perspective on the long-standing tension between General Relativity (GR) and Quantum Mechanics (QM)—namely, the conflict between a geometry that requires no observer and a probabilistic world that cannot exist without one. This work starts from a single organizing principle: Reality=Intent×Information×Resonance.\text{Reality} = \text{Intent} \times \text{Information} \times \text{Resonance}.Reality=Intent×Information×Resonance. The three components—Intent (I), Information (S), and Resonance (R)—are elevated to independent dynamical fields. Together with spacetime geometry gμνg_{\mu\nu}gμν, matter fields ψ\psiψ, information density SSS, intent field III, and resonance field RRR, they form a single variational action from which both GR and QM appear as opposite limiting regimes. Key Contributions GR emerges naturally in the regime where information dominates and intent is suppressed. QM arises in the regime of dominant intent and low-information density, producing probabilistic structure. Both the Schrödinger equation and Einstein field equations arise as boundary cases of the same higher action. The resonance field RRR provides a mechanism for coherence across microscopic and macroscopic scales. Concepts such as “measurement,” “choice,” and “observer effect” are redefined not as philosophical add-ons but as physical variables inherent to the theory. Position Within the Broader Research Program This paper serves as the entry point to the unified field component of the RFC/ERA/RUFT/Resonant Ontology project.It integrates insights from over a hundred theoretical papers and extensive computational experiments, offering the first consolidated physical formulation of the “breathing–resonance ontology” developed across the series. Full Research Corpus All conceptual, numerical, and theoretical foundations referenced here are part of the Resonant Ontology collection (100+ papers), available at: 🔗 https://zenodo.org/communities/resonant-ontology
The Theory of Gravito–Informational Unification (TGIU, from the Romanian Teoria Gravito–Informațională Universală — “Universal Gravitational Informational Theory”) introduces a real-valued reformulation of fundamental physics by eliminating the mathematical necessity of the imaginary unit i. In this framework, all physical phenomena — quantum, relativistic, and thermodynamic — emerge from the dynamic coupling between two real conjugate fields: the Informational Potential Φ and the Entropic Field S. Their interaction generates informational curvature, quantified by the TGIU Equilibrium Force (TEF), which replaces i as the real 90° curvature operator in the Φ–S plane. The complex wavefunction of conventional quantum mechanics is redefined as a real two-component vector Ψ_TGIU = (Φ,S)^T, from which both the Schrödinger and Dirac equations can be derived in purely real form. At macroscopic scales, the same Φ–S curvature produces Einstein’s field equations, revealing gravitation as an emergent informational process. Thus, quantum mechanics, relativity, and thermodynamics are unified within a single geometric framework based on real informational curvature. A central feature of this formulation is asymmetry — the origin of time, entropy, and existence. Perfect symmetry (Φ = S) corresponds to a timeless, nonphysical state, while asymmetry (Φ ≠ S) generates temporal flow and material structure. The asymmetry coefficient α = 1 – η (where η is the entropy cost of informational collapse) regulates the irreversible drift of Φ and S, producing the arrow of time and the finite persistence of reality between the bounds 0 < Existence < infinite. By identifying the imaginary component of quantum theory with real curvature in informational space, the TGIU framework transforms the mathematical abstraction of complex numbers into a measurable geometric property of reality. It offers a coherent explanation for the emergence of time, matter–antimatter imbalance, dark energy, and cosmic evolution, demonstrating that existence itself arises from an intentional asymmetry maintained by the TGIU Equilibrium Force.
Observer Equivariance (OE) is proposed as an interpretation of quantum theory based on a single structural principle: objectivity is invariance under changes of observer perspective. The framework is formulated using a projection p:\mathcal O \to \mathcal S, where \mathcal O is a groupoid of observer perspectives (descriptions) and \mathcal Srepresents structural content intended to be objective. Within this setting, the paper links three familiar pillars of quantum theory as consequences of one invariance requirement: Symmetry. Physical symmetries are characterized as automorphisms of \mathcal S that are liftable to \mathcal O in a way compatible with the relevant gauge freedom. This recovers Wigner/Uhlhorn-type constraints from a general “liftability” viewpoint. Born weights. Event weights are constrained by invariance under a minimal internal “mixing” operation (unitary change of basis within a fixed structural event), together with coarse graining and phase invariance. A proof sketch shows how this yields a functional equation that forces quadratic (Born-type) weights. Uncertainty. Translational perspective changes motivate a Fourier/Pontryagin-duality analysis in which Plancherel/Parseval norm preservation selects an L^2 structure and yields standard Fourier uncertainty relations as representation-theoretic constraints. The article positions OE relative to QBism and Relational Quantum Mechanics: it shares the view that “facts” and state assignments are perspective-indexed, while differing in that symmetry constraints and the probability calculus are treated as structural necessities derived from invariance, rather than as purely epistemic or decision-theoretic postulates. DOI (this version): 10.5281/zenodo.18221625 Concept DOI (all versions): 10.5281/zenodo.18221624 AI use: AI systems (ChatGPT, Gemini, Grok, and Claude) were used for drafting assistance, language editing, and mathematical polishing. The author reviewed the manuscript and takes full responsibility for all claims and any errors.
Abstract This paper attempts to bridge the gap between fundamental physics and the psychology of meaning-making. We explore the proposition that the most persistent impasse in physics— the incompatibility of quantum mechanics and general relativity—is not a purely mathematical issue, but a structural consequence of both frameworks beginning after Enactment: the universal boundary where information and matter emerge from superposition. We define Meaning as a 2D Gauge Field possessing global symmetry. Enactment is identified as the discrete phase transition—a local gauge transformation—from a state of Meaning Superposition to a specific Meaning Configuration. This substrate-independent mechanism is formalized through the EOCME cycle, which we propose as the operational dynamics of an SU(7) gauge symmetry. Each of the seven stages in the cycle represents a transformation within the 7-dimensional fundamental representation of the SU(7) group. This process of Symmetry Breaking is treated as a universal constant: the cognitive mechanism allowing a child to perceive a ‘bear’ in a shadow (psychological enactment) is shown to be mathematically isomorphic to the processes generating physical constants and mass in the early universe. Four consequences follow: 1. Axioms are Enactments that fix the gauge, freezing global symmetry into local geometry. 2. The incompatibility between Einstein and Schrödinger is a property of their respective axiomatic Enactments, not of reality itself. 3. Wave function collapse is relative to the enactor. 4. Time is emergent from Enactment rather than fundamental. This work is grounded in forty years of clinical observation, N=1,211 psychological datasets, and a deterministic analysis of the Planck 2018 CMB map identifying 2,703 meaning traces. Ultimately, this work offers a unifying framework that treats meaning as a conserved field quantity, linking human cognition directly to cosmological structure. Keywords: Cosmic Microwave Background · Conservation laws · Enactment · Gauge symmetry · Higgs metastability · Meaning field · Quantum measurement problem · Symmetry breaking