The Geometric Unified Field Theory: Complete 6D Framework from Inertia to Quantum Potential

This paper presents a comprehensive synthesis and development of ideas introduced in the author's earlier works [viXra:2510.0036, 2511.0005, 2511.0016, 2511.0042], as well as related manuscripts not accepted on viXra but available at academia edu profile MartinHristov37. It provides a unified exposition of the entire conceptual arc from standard general relativity through geometrodynamic unification to a 6D temporal-spatial framework intended to accommodate quantum phenomena. Readers unfamiliar with the preceding papers can find the complete paradigm up to unification in this single, self-contained treatment. This paper synthesizes and extends the author’s previous work on inertia, ge- ometrodynamics, and extra-temporal structure by developing a continuous line of ideas from standard general relativity to a 6-dimensional temporal–spatial frame- work intended as a geometric unification scheme. We begin by revisiting classical gravity and the equivalence between inertial and gravitational mass, and we present a heuristic view of inertia as the work required to displace an object’s own gravitational field. A field-theoretic version of this picture is then formulated in the weak-field limit, where inertial response arises from the self-interaction of the Newtonian potential. The result is interpreted as a gravito- inertial scalar potential that encodes both gravitational attraction and resistance to acceleration. Building on this, we adopt a geometrodynamic perspective in which matter is modeled as a stable topological configuration of spacetime. Gravity, inertia, and momentum are described as different aspects of the dynamics of such self-gravitating structures in a curved background, with large-scale spacetime gradients providing an effective explanation of galactic rotation curves without introducing dark matter particles. Motivated by conceptual tensions between classical spacetime and quantum su- perposition, we then introduce a 6-dimensional manifold with three spatial coor- dinates and three distinct temporal coordinates (t1, t2, t3). The historical axis t1 records actualized events, the variability axis t2 organizes distinct possible con- figurations, and the potential axis t3 measures the relative weight or “readiness” of these configurations to become part of the t1 history. Within this extended temporal picture, quantum superposition corresponds to situations in which sev- eral t2-labelled configurations carry significant potential weight along t3 during the same t1 interval, while effective collapse corresponds to the emergence of a single dominant branch in the (t2, t3) distribution. The central technical result is a Kaluza–Klein-type 6D metric ansatz with a Lorentzian (3 + 1) sector and a positive-definite two-dimensional temporal sector for (t2, t3). The internal temporal metric is parameterized by three scalar fields (Φ, ψ, θ), controlling temporal density, anisotropy, and the mixing between variabil- ity and potential, respectively. A conserved current Jµ θ arises from the phase-like field θ and is interpreted as a potential current describing how weighted possibilities project into the historical record. We provide the full line element, discuss signa- ture and dimensional analysis, construct the current and its stress–energy tensor, and illustrate the framework with a simple flat-spacetime example. The paper concludes with a brief outlook on how a full 6D Einstein–Hilbert action and dimensional reduction could lead to a predictive theory in which classical general relativity and quantum actualization processes are seen as different regimes of a single underlying temporal–spatial geometry.