A Theory on the Interdependent Origination and Entanglement of Chronogeometric Gravity, Matter and the Cosmos

Abstract

Relational Physics: Chronogeometry from Quantum Correlators This work presents a novel Relational Physics framework that unifies quantum mechanics and general relativity by inverting the conventional foundational ontology. It begins not with an assumed spacetime background, but with a fibred continuum ($\mathcal C_d$) of primordial quantum singularities ($\mathfrak B_{\vec r}$), animated by a global, holosymmetric quantum state, $|\overset{\circ}{\mathbf{\Psi}}\rangle$. Relational Geometry and the Fourfold Algebra Reality is structurally defined by a relational phase-geometry bundle ($\pi:\mathfrak F\to\mathcal X_q$), where distance and time are not primitive but emergent properties read from the fibres ($\mathfrak F_x$). Separation and duration are derived from three fundamental operational measures: correlational, spectral, and vacuum-response measures (and their temporal counterparts). At the algebraic foundation stands the Fourfold Algebra of Symmetry ($\mathbf{\overset{\circ}{\Lambda}}$)—Symmetry, Antisymmetry, Parasymmetry, and Holosymmetry—treated as a generative grammar for the full algebra of observables, prior to any geometric assumptions. The global state, $\omega^{\overset{\circ}{\mathbf\Psi}}$, converts these abstract algebraic valuations into concrete operational expectation values via the Gelfand–Naimark–Segal (GNS) construction. This process dynamically forges the inner products that knit local fibres together, yielding an emergent physical Hilbert arena ($\mathcal H_{\mathrm{phys}}$) and its relational geometry. This forging relies on the fourfold inter-modal correlator ($\hat{G}_\Lambda$), which supplies the state-conditioned structure required for parallel transport and comparison across the continuum: $\langle \psi_1 | \psi_2 \rangle_{\mathcal{H}_{\mathrm{mod}}^{(\mathfrak{B}_x)}} := \lim_{x' \to x} \langle \overset{\circ}{\mathbf{\Psi}} | \hat{G}_\Lambda(\mathfrak{B}_x, \mathfrak{B}_{x'})[\psi_1^*, \psi_2] | \overset{\circ}{\mathbf{\Psi}} \rangle$ Emergent Fields and Dynamics Two novel fundamental fields are proposed to inhabit this emergent structure: 1. Gaiamiti ($\hat{\mathbf{\Phi}}_x$): Shapes chronogeometry and carries the radiative content associated with the graviton. 2. Tantrakyma ($\hat{\mathbf{\Theta}}_x$): Organises excitations and internal symmetries, seeding particle spectra and interactions. Their interaction correlators, varied as a single operational action, yield the Chronogeometric Einstein Equations.

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