Od wizji 6D (3+3) do minimalnej 5D: Struktura przejścia fazowego z obrotem parabolicznym i emergentna czasoprzestrzeń z sieci solitonów.

From 6D (3+3) Vision to a Minimal 5D Framework: Phase Transition with Parabolic Rotation and the Emergence of Spacetime from a Soliton Network This paper presents a unifying geometric-topological model for the origin of our observable 4D spacetime (A) and its matter content from a phase transition within a higher-dimensional "mother" space (B). While building upon profound insights from String Theory (ST), Orbifold Theory (OT), Holographic principles, Brane-World scenarios, and the Dragan-Ekert parabolic rotation formalism, it identifies a common oversight: these frameworks often treat our spacetime as a fundamental or isolated given. In contrast, this work rigorously proposes that our universe (A) is intrinsically and dynamically linked to the very space (B) from which it was generated via a critical, energy-preserving phase transition. The core innovation lies in replacing the problematic concept of "tachyonic crossing" of the light-speed barrier with a mathematically consistent "reflection" mechanism, formalized as a parabolic rotation. This forces a dimensional reorganization: a pre-transition 5D B-space (with signature -++++), where one geometric dimension loops, undergoes an energetic instability. The ensuing parabolic rotation "reflects" the system, swapping the roles of a time-like and a geometric dimension, and leads to the birth of our 4D spacetime A (3+1) with one compactified extra dimension. The frozen remnant of this transition in B is a network of topological solitons (4-branes), whose vibrational modes project into A as the fundamental particles. This explains: Three Fermion Generations from Kaluza-Klein modes on the compact dimension. Photon as the massless gauge mode on the brane. Quark Confinement as a direct result of the solitons' extended nature in B. Emergent Gravity and the absence of a fundamental graviton. Time Dilation as the dynamical unraveling of the compact dimension at high energies. Crucially, the model demonstrates that the more complex visions of 6D (3+3), 12D, or even the 11D of M-theory can be effectively encapsulated within this minimal 5D→(4D+compact) transition scheme. It reconciles these diverse approaches by providing the missing link of genesis: our universe is not just a brane floating in a bulk; it is a daughter structure, forever imprinted with and governed by the topological defects and symmetries of its parent space B. The model preserves key prior results, notably that an effective common dimensionality around D∼6.5 successfully yields the observed gravitational constant G. This work does not dismiss previous theories but aims to integrate their strengths into a causal, genealogical narrative of spacetime, offering a new pathway for quantum gravity unification. Keywords: Parabolic Rotation, Phase Transition, Emergent Spacetime, Soliton Network, Topological Defects, Brane Cosmology, Extra Dimensions, Dragan-Ekert, Geometric Unification