The Q-Object Framework: From Discrete Exceptional Pocket Geometry to Emergent Matrix Superfluids

The Q-Object Framework proposes a unified theoretical framework in which the Standard Model, gravity, and dark-sector phenomena emerge from the collective behavior of a relativistic matrix-valued superfluid whose microscopic structure is based on the exceptional Jordan algebra J₃(𝕆) and an E₈ discrete pocket network. The framework develops a common mathematical structure connecting gauge symmetry, spacetime geometry, and topological excitations. It presents derivations of several key results, including: Emergent SU(5) → SU(3)×SU(2)×U(1) gauge structure. A topological origin for the existence of three fermion generations. An emergent-gravity construction based on thermodynamic and superfluid principles. A microscopic derivation of a Higgs–vacuum portal coupling from exceptional-algebraic structure. A perturbative and partially constructive non-perturbative quantization program. Phenomenological implications for dark matter, dark energy, proton decay, and nanohertz gravitational waves. The manuscript explicitly distinguishes between postulates, experimental inputs, derived results, fitted parameters, and estimates through a complete epistemic audit, allowing readers to identify which claims are theoretical consequences and which rely on observational boundary conditions. This work is intended as an independent research contribution in theoretical high-energy physics and quantum gravity. It is presented as a falsifiable framework rather than an established theory, with several predictions that may be tested by future experiments, including Hyper-Kamiokande, pulsar timing arrays, and next-generation collider programs. Keywords: quantum gravity, grand unified theory, emergent gravity, Standard Model, exceptional Jordan algebra, octonions, E₈, SU(5), quantum field theory, superfluid vacuum, theoretical physics, dark matter, dark energy, topology, mathematical physics. Keywords: quantum gravity, Standard Model, emergent gauge theory, exceptional Jordan algebra, octonions, superfluid vacuum, dark matter, dark energy, proton decay, grand unification Zenodo DOI: 10.5281/zenodo.20926991