Every level of the physical universe is vibrational or wavelike
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)
Resonance for an oscillator corresponds to alignment (in-phase condition) of force and velocity. But force causes acceleration, which increases the velocity, so resonance corresponds to constructive addition of velocity to preexisting velocity. This applies universally, to a single oscillator, a complex structure such as a string, a membrane, a plate, a solid, and even to air. — Eric J. Heller, Why You Hear What You Hear- An…, 1012 (
#expands, via linked claim)
Categorization
- XREF: connects to: Resonance is one universal phenomenon across all wave types involving structure, drive, and phase; Every wave-like quantity has an uncertainty principle tying its Fourier transform pair — Eric J. Heller, Why You Hear What You Hear- An…, 433; Resonance is universal constructive addition of force-driven velocity — Eric J. Heller, Why You Hear What You Hear- An…, 1012
Related
- Resonance is one universal phenomenon across all wave types involving structure, drive, and phase (similarity 0.88)
- Every wave-like quantity has an uncertainty principle tying its Fourier transform pair (similarity 0.85)
- Position and velocity are Fourier transform pairs, hence obey an uncertainty principle (similarity 0.85)
- Resonance is universal constructive addition of force-driven velocity (similarity 0.82)
- Force and acceleration are in phase yet work requires force and velocity in phase (similarity 0.82)
- The uncertainty principle relates resonance width to decay time (similarity 0.81)
- All resonance reduces to structure, drive, and in-phase response (similarity 0.80)
- Every aspect of the physical universe is vibratory at some level (similarity 0.80)
- The time-energy uncertainty principle is really a time-frequency uncertainty principle in disguise (similarity 0.80)
- Resonance occurs where impedance vanishes, yielding huge response (similarity 0.80)
- Velocity response is the convenient quantity for impulse power (similarity 0.79)
- Vortex shedding causes violent oscillation through cooperative lockin resonance (similarity 0.79)
- Resonance requires confined old amplitude returning in phase with fresh drive amplitude (similarity 0.78)
- Resonance lowers impedance dramatically at an oscillator’s natural frequency (similarity 0.78)
- Every wave mode is simultaneously an oscillator depending on viewpoint (similarity 0.78)
Broader Connections
- Every wave-like quantity has an uncertainty principle tying its Fourier transform pair
#expands(0.80) — Eric J. Heller, Why You Hear What You Hear- An…, 433 - Resonance is universal constructive addition of force-driven velocity
#expands(0.75) — Eric J. Heller, Why You Hear What You Hear- An…, 1012