What question did this study set out to answer?

The aim is to explore how p-adic numbers can improve database storage efficiency.

April 7, 2026Open Access

p-adic Valuation based Depth Transformation for Memory Efficient Trees

Key Points

The aim is to explore how p-adic numbers can improve database storage efficiency.
Applied p-adic valuation to transform the structure of data storage.
Analyzed geometric properties of p-adic numbers for enhanced localized storage.
Measured cache hit rate improvements before and after the transformation.
Significant increase in cache hit rate observed after applying the depth transformation.
Demonstrated improved localized storage efficiency, leading to better database performance.

Abstract

This paper discusses the application of the geometric properties of p-adic numbers as a mathematical transform that improves the localised storage mechanism of databases, thereby leading to considerable improvements in the Cache Hit Rate metric.

p-adic Valuation based Depth Transformation for Memory Efficient Trees

Key Points

Abstract

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