Holographic Information Tension Dynamics: Non-Perturbative Unification of the Kagome Vacuum Lattice, Fractal Topology, and Relativistic Emergence

The ontological rift between the smooth manifolds of General Relativity and the discrete excitations of Quantum Field Theory suggests an underlying geometric substructure at the Planck scale. This study introduces the "Holographic Information Tension" (HIT) framework, which reconstructs the vacuum as a sub-Planckian Information Tension Fluid (SPITF). The microscopic architecture of this medium is defined by a Kagome lattice characterized by geometric frustration. Via the mechanism of flat-band localization intrinsic to the lattice, high-energy vacuum fluctuations are confined within microscopic closed loops. This confinement resolves the ultraviolet divergence and the vacuum catastrophe associated with traditional renormalization theories. Within this medium, elementary particles are identified as topological solitons (Hopfions). Their mass spectrum follows a fractal scaling law (E ∝ Q3/4) derived from space-filling networks, physically representing an information blockage effect against the medium's refresh rate. Consequently, the speed of light is reduced from an a priori kinematic constant to the propagation limit of transverse elastic phonons within the tension network. Furthermore, interaction dynamics are reformulated as a "Resonant Impedance Matching" mechanism based on the Wheeler-Feynman absorber theory. Energy transfer is shown to require bidirectional impedance matching between retarded and advanced waves along spacetime paths, thereby excluding the non-physicality of unidirectional ballistic propagation. Finally, gravity is derived as the result of competition between information entropy and the elastic modulus of the medium (Broadband Casimir Screening). The Hubble tension in cosmological observations is reinterpreted as rheological energy dissipation of photons within a viscous vacuum, reconstructing the kinematic features of accelerated expansion without invoking additional dark energy fields.