
Gaudin's Law
Gaudin's Law states that in many systems, the total power consumption of network switches, routers, or similar devices increases as the square of the number of parts or ports they connect. Essentially, adding more connections or devices causes the energy needed to manage and transmit data to grow disproportionately, often quadratically. This highlights that scaling up network infrastructure can lead to significant increases in energy use, emphasizing the importance of efficient design and planning to manage power consumption effectively as networks grow.