BECU-OLON V7: Geometric Analysis of the 1d-Axis and Structural Field Asymmetries. The BECU-OLON V7 framework explores a geometric interpretation of cosmological observations, suggesting that gravitational anomalies can be understood through structural density gradients. This update formalizes the concept of the 1d-Axis as a primary structural element of cosmic evolution. Key Features of the V7 Update: Resultant Field Analysis: Identification of a 20% field effect asymmetry, positioned at the 0. 75 (3/4) coordinate of the structural axis with a lateral left-offset. This mechanism is proposed as a potential explanation for observed large-scale flows. Asymmetric Flow Dynamics: A mathematical approach to non-isotropic trajectories, offering new insights into the Hubble and \ (S₈\) tensions. Cosmic Memory Integration: The inclusion of a hysteresis term (\ (₌₄₌\) ) that accounts for geometric information from preceding evolutionary phases. Observational Correlation: Numerical results indicate a 10. 2% suppression of the ISW/Lensing ratio at \ (k=1. 0\), providing a consistent fit with current structural growth datasets. By employing the fundamental eigenvalue of \ (3\), BECU-OLON V7 provides a unified geometric perspective that accounts for the dynamics typically attributed to the dark sector, without the necessity for additional non-baryonic components. Independent Research by Georgios Vardiampasis (May 2026). Numerical simulations and data analysis conducted through open-source computational environments and assisted by modern analytical methodologies.
George Vardiampasis (Sat,) studied this question.