General Quantum Occupancy Theory (GQOT): Part I: Theoretical Core and Indicative Results

General Quantum Occupancy Theory (GQOT) – Part I: Theoretical Core and Indicative Results OverviewThis manuscript introduces Part I of General Quantum Occupancy Theory (GQOT), a novel theoretical framework advancing the conceptual unification of Quantum Mechanics and General Relativity through rigorous informational topology. Building upon the foundational kinematics of Special Quantum Occupancy Theory (SQOT), GQOT abandons the assumption of a continuous, pre-existing spacetime. Instead, physical reality is modeled as a relational manifest screen generated by the bipartite informational overlap between an Observer (O) and a System (S). Because an observer possesses finite states to represent both itself and the observed system, an inherent informational constriction—observational stenosis—emerges. GQOT demonstrates that historical paradoxes such as wave-particle duality, wavefunction collapse, and the invariant speed of light (c) are not fundamental mysteries, but rather the strict topological bandwidth limits of serializing a multidimensional entanglement space through a discrete 4D aperture. Key Conceptual Breakthroughs: The 25-Generator Registry: Physical reality is processed through a finite hardware limit comprising 15 Unitary generators (SU (4) and 10 Metric generators (Poincaré). The D+4 Epistemological Firewall (Semiochoros): Demonstrates that the manifest metric is permanently blind to internal latent geometries. The "Landscape Problem" of String Theory is neutralized, as the 4D screen registers only the orthogonal intersections (synapses) of the latent state as a topological load (Depth, x). The Monistic Informational Unit (π_λ): Proves that mass, space, and time are not fundamentally distinct substances. They are the allocated (mass), unallocated (space/eleftherochoros), and chronoentropically sorted (time) phases of the exact same registry bandwidth. Conservation of Informational Volume (Π_λ): Replaces classical continuous conservation laws with a discrete thermodynamic mandate, deriving the Arrow of Time as the relational exhaust required to maintain observer coherence. Indicative Empirical Results (Zero Free Parameters): By utilizing a Macroscopic Translation Matrix (Λ), the framework anchors purely topological Informational Units to empirical SI units using only the speed of light (c) and the proton charge radius (rp≈0. 841fm) as calibration anchors. From this, GQOT successfully derives the following without the use of arbitrary free parameters or chiral symmetry breaking: The Pion Radius (r_π) ): Derived via the L2 norm expectation of a planar projection into R4, yielding the absolute topological invariant r_π=rₚ (π/4) ≈0. 660fm. The Electron Mass (mₑ): Derived from the geometric ratio of a 5D latent phase-state projecting across 6 metric planes (6π⁵). The Cosmological Density Matrix: Derives the exact ΛCDM ratios of Dark Energy (68. 4%), Dark Matter (26. 7%), and Baryonic Matter (4. 9%) purely from the volumetric and generator-bandwidth allocation of the dm=4 manifold. Informational Gravity (GGQOT): Derives the fundamental gravitational coupling scale (G≈10−27) as the absolute metric resolution limit (the Metric Resolution Angle, ΘM) distributed across the 10 Poincaré generators. This paper remains an advanced draft, subject to further clarifications and validations. Updates: v5 corrects minor naming inconsitencies v6 added section about theoretical strategy (what we are trying to do) and a credibility increasing section about thanh behaviour of the unitary dimensional drops that reproduce the strong to em force ratio.