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TGIU: A Real-Valued Resolution to the Measurement Problem

Sebastian Virtosu

Published Apr 18, 2026• 0 citations
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Abstract

\begin{abstract} The \textbf{Universal Gravito-Informational Theory (TGIU)} resolves the quantum measurement problem by replacing the imaginary unit $i$ with the \textbf{Curvature-State Transform (CST)} operator $\mathcal{J}_{\mathrm{CST}}$, a real $90^\circ$ rotation in the $(\Phi,S)$ informational plane. This paper presents: \begin{itemize} \item The \textbf{7+1 CST-equations} (real-valued, without $i$). \item A \textbf{response to Tim Maudlin’s critique} of quantum foundations, showing how TGIU provides an \textbf{objective, dynamical collapse mechanism} via the \textbf{Collapse Informational Directional (CID)} and \textbf{TEF Force}. \item \textbf{Ontological mappings} of collapse angles ($\Theta_C$) to particle regimes (photons, matter, dark matter), with testable predictions for CMS/LIGO data. \end{itemize} \emph{Keywords:} TGIU, Measurement Problem, CST Operator, TEF Force, Collapse Angle, Dark Matter, UIRE v9.3. \end{abstract}

DOI
10.5281/zenodo.19639433

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\begin{abstract} The \textbf{Universal Gravito-Informational Theory (TGIU)} resolves the quantum measurement problem by replacing the imaginary unit iii with the \textbf{Curvature-State Transform (CST)} operator JCST\mathcal{J}_{\mathrm{CST}}JCST​, a real 90∘90^\circ90∘ rotation in the (Φ,S)(\Phi,S)(Φ,S) informational plane. This paper presents: \begin{itemize} \item The \textbf{7+1 CST-equations} (real-valued, without iii). \item A \textbf{response to Tim Maudlin’s critique} of quantum foundations, showing how TGIU provides an \textbf{objective, dynamical collapse mechanism} via the \textbf{Collapse Informational Directional (CID)} and \textbf{TEF Force}. \item \textbf{Ontological mappings} of collapse angles (ΘC\Theta_CΘC​) to particle regimes (photons, matter, dark matter), with testable predictions for CMS/LIGO data. \end{itemize} \emph{Keywords:} TGIU, Measurement Problem, CST Operator, TEF Force, Collapse Angle, Dark Matter, UIRE v9.3. \end{abstract}
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.
In contemporary physics, fundamental structures such as space, time, matter, spin, and measurement are typically introduced as independent primitives or axiomatic ingredients. While quantum mechanics and relativistic field theories describe these structures with extraordinary precision, they do not explain why such structures exist, why they are discrete or stable, nor why reality manifests in exactly three spatial dimensions with an irreversible arrow of time. This work presents a unified informational–geometric framework—the Universal Gravito–Informational Theory (TGIU)—in which physical reality emerges from a pre-geometric informational substrate governed by two complementary gradients: informational coherence (Φ) and informational entropy (S). Their interaction is regulated by a real-valued dynamical mechanism composed of the Curvature–State Transform (CST) and the TGIU Equilibrium Force (TEF). Together, these operators generate bounded, orthogonal informational rotations whose stabilized projections give rise to geometry, matter, and observable physical laws. Within this framework, electron orbitals are reinterpreted as CST limit cycles, spin emerges as the topological orientation of these cycles, and the Pauli exclusion principle arises from phase–space saturation rather than postulated antisymmetry. Atomic stability, the absence of radiative decay in stationary states, fine structure, and the Lamb shift are shown to follow from TEF anisotropy and vacuum curvature granularity, while remaining fully consistent with quantum electrodynamics in its predictive domain. Measurement and wavefunction collapse are described as local TEF locking events, providing a deterministic but non-restorative mechanism for outcome selection without invoking fundamental randomness. Time itself is shown to emerge as monotonic CST phase accumulation, explaining both its one-dimensional nature and its irreversibility as geometric consequences of bounded informational curvature. The existence of exactly three spatial dimensions follows from a CST dimensional closure condition, identifying three dimensions as the only geometry capable of sustaining stable, non-divergent informational rotation. Importantly, TGIU does not replace quantum mechanics, general relativity, or field theory. Instead, it supplies a deeper explanatory layer that clarifies why these frameworks work, why their structures are constrained as observed, and why no physical process can reach absolute annihilation or infinite divergence. Extremes are not restored but redirected: identity is not conserved, yet nature persists through renewed coherence. This work positions TGIU as an empirically motivated, geometrically grounded extension of modern physics—one that unifies matter, time, measurement, and dimensionality under a single informational principle, while remaining compatible with established theories in their respective limits.
We show that three central features of modern physics---measurement, irreversibility, and the Yang--Mills mass gap---admit a unified interpretation within the Universal Gravito--Informational Theory (TGIU). The key object is the TGIU Equilibrium Force (TEF), defined as the time-rotation of the informational collapse angle ΘC\Theta_CΘC​. We demonstrate that TEF naturally acts as: (i) the generator of measurement outcomes, (ii) the source of measurement irreversibility (time asymmetry), and (iii) the mechanism enforcing a nonzero mass gap in non-Abelian gauge theories. No fundamental particle ontology is required.
Within the Universal Gravito–Informational Theory (TGIU), \emph{identity} is defined not as a static configuration of matter, energy, or information, but as the continuous trajectory of informational rotation in the (Φ,S)(\Phi,S)(Φ,S) plane under the action of the CST–TEF dynamics. \medskip \noindent \textbf{Principle (Non-Restoration of Identity).} \begin{quote} If an informational trajectory undergoes a complete collapse (Φ→0\Phi \rightarrow 0Φ→0) such that its rotational history ΘC(t)\Theta_C(t)ΘC​(t) is interrupted, then any subsequent recoherence driven by the operator TEF⋅JCST\mathrm{TEF}\cdot\mathcal{J}_{\mathrm{CST}}TEF⋅JCST​ cannot restore the original identity. Recoherence restores \emph{nature}, not \emph{identity}. \end{quote} Thus, identity conservation requires uninterrupted continuity of the informational rotation, not merely the reappearance of equivalent structural or dynamical patterns.
In the Universal Gravito--Informational framework (TGIU), physical reality is not built from fundamental particles but from stable informational nodes regulated by the TGIU Equilibrium Force (TEF). This paper formalizes the \emph{Informational Node Theorem}, which states that quantum correlations (commonly referred to as entanglement) do not manifest as particle-like carriers nor as mere statistical relations, but as higher-order relational informational nodes. The theorem provides a natural ontological explanation for imaging and weak measurement experiments, where the observable imprint of correlation appears as a localized geometric structure rather than a particle trajectory. \end{abstract}
Recent quantum experiments---such as delayed--choice eraser and entanglement--swapping protocols---suggest that events in the present may influence outcomes seemingly located in the past. Within the Universal Gravito--Informational Theory (TGIU), such ``retrocausality'' is not a paradox but a manifestation of informational--curvature symmetry. Time is not a primitive linear parameter but an emergent rotation between the informational potential (Φ)(\Phi)(Φ) and the entropic field (S)(S)(S), regulated by the TGIU Equilibrium Force (TEF). The apparent reversal of cause and effect corresponds to local folding of the Φ\PhiΦ--SSS--Ψ\PsiΨ manifold, producing \emph{Chronal Curvature Loops} (CCL). This paper unifies empirical quantum results, informational geometry, and a curvature--based model of consciousness, presenting retrocausality as a natural consequence of TGIU dynamics rather than a violation of causality.