Geometrogenesis: Emergent Spacetime from Parabolic Transformation of a 4D Parent Space.
Abstract
The Spacetime Crystallization Model: A Parabolic Transformation Theory of Emergent Reality Core Concept Imagine our entire reality – time, space, matter, light – as a hologram projected from a higher-dimensional space. This parent space (call it B) has 4 geometric dimensions, all "flat" and orthogonal. The Trigger Event: Dimensional Compactification At a critical moment in space B, one dimension (G₄) loops back on itself – instead of extending infinitely, it closes into a gigantic circle. This compactification acts like flipping a cosmic switch. The mathematical system of B must resolve this and executes a forced parabolic rotation – a special transformation that: Creates time from the compactified dimension Mixes the remaining three geometric dimensions Generates our familiar reality A How Our Universe Emerges After transformation, we get: Time T – originates from compactified G₄ Common dimension P – originates from G₃, but with a minus sign (like a mirror reflection) 2D Sphere – originates from G₁ and G₂, but curved by the transformation The Key Geometric Discovery The most geometrically consistent interpretation is: Time T is the radius of a growing sphere, and we live on its surface. Each "now" moment is the entire surface of this sphere "Past" is spheres with smaller radius "Future" is spheres with larger radius (which don't exist yet) Where Do Matter and Phenomena Come From? In space B, during this transformation, crystallization occurs – like water freezing. During crystallization, defects form in the lattice (like cracks in ice). These defects from B are projected into our reality A as: Material particles (electrons, quarks) Light (which doesn't actually "travel" – it's sequentially activated defects creating the illusion of motion) Physical fields (electromagnetic, gravitational) What This Explains Cosmic expansion – not galaxies flying apart, but the radius of the "now" sphere growing Redshift – not Doppler effect, but a record of how the properties of the B-lattice changed during its crystallization Observation horizon – we see only part of the sphere (like Earth's horizon) because information propagates at finite speed Black holes – places where defect concentration is so high it locally reverses the process – creating a "bubble" of new reality The 3D illusion – we live on a 2D spherical surface, but our brain reconstructs depth from memory and parallax Why This Is Revolutionary Time exists before the Big Bang – the Big Bang is the beginning of content, not spacetime Light doesn't travel – it's sequential defect activation Space is fundamentally 2D – 3D is an illusion All physical constants originate from properties of the B-lattice How to Test This The model predicts: Parallax anomalies in stars (different from 3D geometry predictions) Sagnac effect dependence on orientation (different for "vertical" vs "horizontal") Patterns in cosmic microwave background – concentric spherical structures One-Sentence Summary Our reality is a dynamic hologram – a projection of a crystallizing 4-dimensional space where time is the radius of a growing sphere, and matter is "cracking" in its structure. The model offers a complete, geometric explanation of cosmology without assumptions about traveling photons, pre-existing space, or a "beginning of time." Spacetime isn't the arena where events happen – it IS what's happening.
Fields of Study & Subjects
Relativity and Gravitational Theory
Noncommutative and Quantum Gravity Theories
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 9 February 2026
- Document type
- Thesis