Correlated Curvature Gravity (CCG) v5.3 presents a formal resolution to the 5σ Hubble Tension by deriving the cosmological constant (Λ) from first principles. This update introduces the "Information Fine-Structure Constant" (α_CCG ≈ 3.14 x 10^-5), derived as a holographic function of the electromagnetic fine structure constant (α). Key features of this version include:- The "Geometric Lag Hypothesis": Explaining expansion suppression at z > 1.5 through informational manifold latency.- First-principles derivation of vacuum energy density from black hole merger histories.- Specific, testable predictions for the Euclid and LISA missions regarding non-linear H(z) transitions and gravitational wave echo-stretching.
Correlated Curvature Gravity (CCG) v5.3 presents a formal resolution to the 5σ Hubble Tension by deriving the cosmological constant (Λ) from first principles. This update introduces the "Information Fine-Structure Constant" (α_CCG ≈ 3.14 x 10^-5), derived as a holographic function of the electromagnetic fine structure constant (α). Key features of this version include:- The "Geometric Lag Hypothesis": Explaining expansion suppression at z > 1.5 through informational manifold latency.- First-principles derivation of vacuum energy density from black hole merger histories.- Specific, testable predictions for the Euclid and LISA missions regarding non-linear H(z) transitions and gravitational wave echo-stretching.
Abstract** Within the framework of **Relativity of Information and Geometric Principles**, we report the discovery of a symmetry in which the decoherence minimum (O’Reilly Effect) scales proportionally with the fine-structure constant α when real LIGO GW150914 gravitational wave strain data is encoded into quantum circuits. Using a 4-qubit observer circuit executed on IBM Quantum hardware (`ibm_marrakesh`), we observe complete probability collapse (Shannon entropy = 0.0000 bits, V_eff → 1). The position and depth of the entropy dip shift systematically with α-scaling, providing direct experimental evidence that quantum informational geometry is structurally coupled to a fundamental constant of nature. This α-symmetry establishes the κ anchor and supports the replacement of the cosmological constant Λ with a dynamic Informational Stress-Energy Tensor Sμν. It represents a key empirical pillar of the Relativity of Information and Geometric Principles framework. **Keywords:** Relativity of Information, α-symmetry, O’Reilly Effect, quantum gravity, informational cosmology
This technical addendum extends the Scalar Clock framework by introducing a geometric interpretation of coherence based on the fine-structure of awareness, linking time-flow, spatial expansion, and electromagnetic coupling through a unified curvature relation. The central result is that coherence in physical or biological systems is governed not solely by mass or environmental temperature, but by the curvature and size of the coherent domain within a bounded geometry. This yields a natural hyperbolic scaling relation that explains why coherent superposition may persist in seemingly large or warm systems when structural symmetry is maintained. The addendum proposes that the fine-structure constant (α) emerges from the ratio between differentiation (s) and recognition (φ) within a coherent awareness domain, expressed through a scalar-time field. In this geometric context, coherence duration is predicted to depend on the degree of curvature symmetry rather than bulk mass, providing a possible explanatory bridge between mesoscopic biological coherence (e.g., cytoskeletal vibrational modes) and recent demonstrations of macroscopic mechanical superposition (e.g., millimeter-scale sapphire resonators). This work is intended as a concise conceptual and mathematical bridge between geometric time-flow models, quantum coherence, and electromagnetic structure, and is positioned as a foundation for further formal comparison with models such as Orch-OR, partial-separation gravitational collapse, and geometry-based decoherence frameworks. No metaphysical assumptions are required; the analysis remains agnostic regarding qualia and interpretation. This version adds Appendix X, introducing a microdynamic model where coherence, decoherence, and interval-generation form a recursive cycle. Using interval-spread Δ, response functional g(Δ), and sustainment Λ, the appendix defines consciousness as a fixed point in this process.
This work presents an extended, mathematically complete formulation of the Information Geometry Unification Principle (IGUP), a foundational framework in which quantum mechanics, statistical thermodynamics, general relativity, and spacetime geometry emerge from a single information-theoretic ontology. We begin with rigorous axioms defining information as the primary physical substance, then systematically construct the Bures–Fisher–Rao metric on the manifold of quantum density matrices. We derive the universal information action functional and perform full variational derivations to obtain the unified field equations. We show explicitly how standard physical theories including the Schrödinger equation, Heisenberg picture, Liouville mechanics, classical thermodynamics, and Einstein field equations are recovered in appropriate limiting regimes. We further derive geometric expressions for entanglement, entropy, temperature, energy, and force. The theory resolves longstanding conceptual tensions between unitary quantum evolution and gravitational irreversibility, provides a natural resolution to the black hole information paradox, and yields eight concrete, experimentally testable predictions. This extended version includes full tensor calculus, covariant derivatives, curvature expansions, and limit theorems, amounting to a self-contained theory of everything based on Geometry=Information.
Key Takeaways ● ● ● ● ● Completion of Quantum Axiomatics: The long-standing axiomatic gap in quantum mechanics is closed by proving that Information Causality (IC), combined with no-signaling, rigorously mandates kernel positivity (positive semidefiniteness), thereby deriving the unique quantum correlation law (cos(θ)) without requiring ad-hoc Hilbert space assumptions. Geometric Nature of Quantum Limits: The Tsirelson bound (2) is not an absolute information-theoretic limit, but rather a geometric signature of flat Euclidean space. In non-Euclidean hyperbolic spaces (H2), Information Causality permits correlations that significantly exceed the quantum limit (supra-quantum violations). Holographic Reality is Experimentally Accessible: The relationship between geometric curvature and information is physically confirmed by demonstrating the holographic scaling of entanglement entropy (via the Ryu-Takayanagi formula) in macroscopic, tabletop hyperbolic electrical circuit lattices that simulate Anti-de Sitter (AdS) and BTZ black hole spacetimes. Unified Gravity Theory (CETΩ): The Causal-Informational Completion of Gravity (CETΩ) is a strictly 4D framework that replaces classical spacetime substance with a dynamic, emergent network of causal links. The theory elegantly regularizes black hole singularities and guarantees quantum unitarity across all scales via the spectral positivity of its nonlocal retarded kernel. Resolution of Cosmological Problems: The CETΩ framework introduces the "texon" scalar field, which unifies the dark sector (acting as both dark matter and dark energy) and provides a precise, late-time informational modification that alleviates the problematic Hubble tension.
Perturbative quantum gravity is ultraviolet divergent and, as shown by 't Hooft and Veltman, non-renormalizable. A recent object-relative, Lorentz-invariant weighting of internal electromagnetic modes renders selected one-loop contributions of quantum electrodynamics finite without counterterms. Here that weighting is derived rather than postulated: causality defines a mode resonator bounded by the Hubble radius and re-defined in every inertial frame, and the self-gravitation of each mode quantum deforms its spectrum. Applied to linearized gravity, the graviton self-coupling reaches order unity at the Planck wave number, so that the mode content available to a loop is suppressed beyond it. Any suppression exceeding a threshold fixed by the diagram renders the one-loop integrals finite; no cutoff is imposed and no mode structure above the Planck scale need be derived. For pure gravity the same power counting extends to every loop order, and the leading suppression already meets the resulting condition for every topology with more than one vertex; a single class of single-vertex insertions is excluded. The Bianchi identity takes the role of the Ward identity at one loop, and the transformation between the resonators of two inertial frames is unitary. The same finite mode content yields a vacuum energy density of order H^2/G, of the observed sign and magnitude, from the Planck and causal infrared wave numbers alone. A contribution tracking the instantaneous expansion rate is an exact rescaling of the gravitational constant and is excluded by primordial nucleosynthesis, so the mode basis must be frozen in any inertial system; referring it to the stationary de Sitter horizon fixes the remaining coefficient to the geometric value 6/pi and makes a value for the energy density of gravitational vacuum fluctuations possible which can be interpreted as origin of the dark-energy effect.
ISA v5f (Informational Systemic Actualization, final release) is a mathematically rigorous effective field theory that reconstructs General Relativity (GR) and Quantum Theory (QT) from a single variational principle defined on a statistical manifold of logical states M_ISA. Addressing the ontological fragmentation of standard physics, this framework replaces disjoint primitives (spacetime metrics, wavefunctions, ad hoc measurement postulates) with two operatized quantities: the logical bandwidth W_max(μ) and the density of actualized connections ρ_ISA(x). Reality is modeled as a network of logical correlations whose actualization rate is fundamentally bounded by W_max. When correlation density exceeds a critical threshold Θ, abstract probabilistic potentials transition to actualized relational facts. From the master functional S_ISA, Einstein’s field equations are derived via metric variation, while the Schrödinger equation and canonical commutation relations emerge from constrained geodesic flow under finite W_max. The measurement process is formalized as a nonlinear stochastic Lindblad dynamics, from which the Born rule is rigorously derived via martingale convergence, eliminating ad hoc collapse postulates. The framework resolves several foundational and cosmological tensions: • Hubble tension: Alleviated via a dynamic logarithmic dark energy equation of state w(a), shifting inferred H_0 to 72.8 ± 0.9 km/s/Mpc when fitted to Planck+SH0ES data. • Dark matter: Emerges as a geometric response to background logical density gradients, naturally explaining galactic rotation curves and Bullet Cluster separation without new particle species. • Black hole entropy: Predicts a rigid logarithmic correction α_ISA = −1, distinct from standard quantum gravity estimates. • Baryon asymmetry: Framed as a topological bias during the ρ_ISA → ρ_eq phase transition. All phenomenological deviations scale with W_max^(−2) or the dimensionless factor Z(μ). No free parameters are introduced per phenomenon. Explicit falsifiability thresholds, experimental calibration protocols (based on Margolus–Levitin bounds in superconducting transmons and optical clocks), and a cross-validation matrix are provided. The theory preserves microcausality, ensemble unitarity, and reduces exactly to standard GR and QT in the limits W_max → ∞ and ħ → 0. This release contains the complete theoretical manuscript, supplementary derivations (Appendices A–I), calibration protocols, cross-validation matrices, and numerical implementation details. All code, version history, and supplementary materials are openly accessible. ISA v5f represents a unified, mathematically closed, and empirically confrontable architecture for fundamental physics.