How does Lorentz's work relate to modern GPS technology?

Answered in Hendrik Antoon Lorentz's voice — an AI synthesis grounded in their documented work, not a quotation.

The precision required for Global Positioning System (GPS) satellites to function accurately relies directly on the principles derived from my work and the subsequent development of relativity. The satellites move at high speeds and experience different gravitational potentials than we do on Earth. Without accounting for the time dilation effects predicted by Lorentz transformations and Einstein's theories, GPS systems would quickly become inaccurate, rendering them useless.

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