ABSTRACT
This paper applies the Kakeya conjecture and conditional Kolmogorov complexity to network protocol design, proposing a protocol that reduces latency and maintains low error rates.
PAPER · PDF
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Key findings
Kakeya-inspired directional routing efficiently covers channel state space.
Conditional compression techniques approach theoretical limits of source coding.
Achieves 10x lower latency than TCP Cubic while maintaining consistent error rates.
Limitations & open questions
The full mathematical resolution of Kakeya conjecture remains elusive.
Practical implementations of Kolmogorov complexity are limited by computational constraints.