Information-Kinetic Theory: Unification of Gravity and the Standard Model on Discrete Quantum Walk Graphs

This paper proposes the Information-Kinetic Theory (IKT) – a background-independent graph-topological paradigm in which metric spacetime, fields, and particles are regarded as infrared interfaces of stochastic complex-phase routing on a dynamic graph. The fundamental microdynamics is formulated in terms of the local quantum-walk operator U_m acting on the oriented edges of the graph. Under prethermal coherent and statistically isotropic vacuum conditions, the effective Floquet dynamics yields the Weyl/wave envelope. The electromagnetic, strong, weak, and gravitational sectors are described as different macroscopic interfaces of a single graph microdynamics: the U(1)-link phase, SU(3)_route color routing, the chiral weak gateway, and phase refraction χ_G. The Topological Transition Calculus (TTC) reformulates continuum UV integrations as finite sums over admissible graph transitions, while running and polarization corrections are treated as graph-computational matching and inference problems. Elementary particles are modeled as stable topological cycles of the graph, and rest mass is represented by the monodromic phase gap or by the integral algorithmic cost of maintaining a closed route. Within this framework, channel-topological anchors are formulated for a number of phenomenological quantities, including α{\rm top}^{-1}=4π³+π²+π, the parameter-rank interpretation of the minimal electronic skeleton ne(0)=10, the reduction of G to the effective configuration volume of the electron route, the leading proton confinement anchor m_p/m_e≃6π⁵, and the logarithmic anchor for the neutron isospin splitting △m≃m_eln(4π). On cosmological scales, IKT formulates the dark-energy component as the two-component interface $\Lambda_{{\rm DE},time}^{\rm IKT} = \Lambda_{{\rm par},time} + \Lambda_{{\rm noise},time}^{\rm valve}$. The dynamic parent-throughput background is proposed to drive the late acceleration, while the finite throughput of the parent valve limits the early insertion noise and leaves a small valve-limited t⁻² tail in the late epoch. This dark-energy component is separated from the total expansion scalar 3H², which also contains matter, radiation, neutrinos, the vortex/dark-matter sector, curvature, and coarse-graining corrections. Dark matter is modeled as a vortex topological sector, testable via CMB/LSS observables, BTFR, lensing, and cluster collisions. The theory also introduces TTC as a discrete calculus of topological transitions and formulates a set of falsifiable tests: DSR corrections to the propagation of high-energy massless packets, including photons; objective macroscopic decoherence; a cosmological birth-imprint scale for neutrino masses; constraints on stable fermion generations; and a statistical upper cutoff in the supermassive-black-hole mass function. IKT thus sets up a unified computational framework for reducing physical structures to the topology, spectrum, and routing of a dynamic graph. The material is organized in a three-level format: the introductory level gives a compact map of IKT and its main predictions; the technical corpus develops the mechanisms and derivations; and the audit and supplementary sections collect parameter classes, status labels, notation, and navigation aids.