Position and velocity are Fourier transform pairs, hence obey an uncertainty principle

Evidence

Time and frequency are the Fourier transform pair that concern us in this book. There are many other examples of Fourier transform pairs: quantities that are related by a Fourier transform. Anything that behaves as a wave has an uncertainty principle connecting Fourier transform pairs. — Eric J. Heller, Why You Hear What You Hear- An…, 433 (#expands, via linked claim)

Categorization

• XREF: connects to: The time-energy uncertainty principle is really a time-frequency uncertainty principle in disguise — Eric J. Heller, Why You Hear What You Hear- An…, 434; Every wave-like quantity has an uncertainty principle tying its Fourier transform pair — Eric J. Heller, Why You Hear What You Hear- An…, 433; There is a limit to the precision with which certain pairs of physical properties, such as position and momentum, can be simultaneously known. — Uncertainty principle (+2 more)

Broader Connections

• Every wave-like quantity has an uncertainty principle tying its Fourier transform pair #expands (0.95) — Eric J. Heller, Why You Hear What You Hear- An…, 433
• The uncertainty principle relates resonance width to decay time #exemplifies (0.85)
• Frequency, phase, and impulse responses are interchangeable transforms of each other #expands (0.80)