Mizan Seven Level Scale: An Exploratory Geometric Construction Between the Planck and Huble Scales (Part 1)

This exploratory note introduces the Mizan Seven-Level Scale, a geometric construction connecting the Planck and Hubble scales through seven logarithmically spaced levels. Mizan: a defined term denoting a balancing principle across levels. It is not translated as “equilibrium,” which refers to a state rather than the dynamic relation considered here. The construction is defined by: L_n = lP x (R_H / lP)^(n/7), for n = 0, 1, ..., 7. Here, lP is the Planck length and R_H = c / H_0 is the Hubble length under the stated baseline Hubble parameter. The note documents the resulting seven-level sequence and examines the fifth level as an exploratory geometric scale. Using the stated baseline values, the fifth level is approximately: L_5 = 5.218 x 10^8 m A corresponding mass scale and an effective elastic scale are also calculated as exploratory quantities. The note is intended as a documented geometric construction and does not claim that the seven-level relation constitutes an established physical law. The numerical correspondences reported here are exploratory and require independent physical derivation and further testing.