THE INFINITE SCALE HYPOTHESIS

The Infinite Scale Hypothesis proposes that systems across radically different physical scales may exhibit recurring structural or mathematical relationships. The hypothesis introduces the Shiv Scale Factor (Sₙ), defined as the ratio between characteristic length scales of adjacent hierarchical systems, and the Shiv Scale Recurrence Ratio (Rᵢ,ⱼ), which compares scale transitions across different levels. The paper tests the proposed recurrence using selected characteristic length scales ranging from the proton/nucleus to the observable universe. Under the characteristic length scales selected for this initial test, no consistent recurrence is found. The results therefore do not support a common multiplicative scale pattern across the tested systems, while leaving open the possibility of future investigation using alternative, principled definitions of characteristic scale.