Revolutionizing File Systems: Achieving Infinite Capacity with Dynamic Width 🚀

🚀 Can file systems truly operate in constant time, regardless of size?
In this video, we explore a breakthrough concept: a unified proof that demonstrates how certain file management operations can be performed in O(1) time, effectively breaking the log n barrier traditionally seen in data structures like trees and hash maps.

📁 We cover:

The problem: why file access, indexing, and updates typically scale with log n

The innovation: a unified method achieving constant time complexity

Underlying data structures and memory model assumptions

Real-world implications for operating systems, cloud storage, and databases

💡 Whether you're into algorithms, systems design, or theoretical computer science, this talk bridges abstract complexity theory and practical performance engineering.

🔥 This isn't just optimization—it's a paradigm shift.

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#Algorithms #DataStructures #ConstantTime #ComputerScience #FileManagement #SystemsDesign #lognBarrier #BigONotation #CSBreakthrough

https://github.com/AaronCattell/Breaking-the-log-n-Barrier