chi-Space and the phi→chi Boundary Black Holes, Metric Anisotropy, and Lorentz Invariance Violation within the Framework of FKGP 4.0
Year: 2026
Type: preprint
Abstract: Attention: This version is preliminary and contains errors that will be corrected in subsequent publications. Within the Fractal Quantum Holographic Paradigm (FKGP 4.0) reality is structured into two projection channels: the phi-channel (observable spacetime, limiting speed c) and the chi-channel (informational substrate, effective speed Veff >> c). This paper extends the framework by identifying and analysing the phi→chi boundary — the physical surface at which the phi-channel collapses and the chi-substrate becomes the sole operative domain. We show that the Terrell-Penrose relativistic rotation effect is a measurable precursor of phi-channel degradation at v→c; that the Schwarzschild event horizon constitutes a stationary phi→chi boundary; and that in both cases physical constants, ordinarily isotropic as properties of the chi-substrate, acquire apparent directional dependence because the phi-channel projection is metrically anisotropic. The interior of a black hole is identified as chi-space — a fully independent manifold, not merely a transmission channel. A five-dimensional topological defect projected into 3+1 spacetime yields a visible fractal signature of dimension 1.05 (derived from the FKGP barrier dimension D1 = 2.05). Lorentz invariance violation (LIV) is proposed as the dynamical mechanism enabling smooth phi→chi transition without divergence. Hawking radiation is reinterpreted as a weak chi→phi leakage mediated by quantum entanglement on the horizon. Eight falsifiable observational predictions are stated.
Author: Trojan, Pavel Y
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7164911256
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