Dynamic Synchronization and Resonance as the Origin of 1/f Fluctuations—Amplitude Modulation Across Music and Nature
Akika Nakamichi, Izumi Uesaka, Masahiro Morikawa · 2025
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Description
Akika Nakamichi and co-authors propose a physical recipe for 1/f noise, the flicker pattern found in music, rivers, and living systems alike. Why loudness in music wanders with that exact spectral slope has teased physicists for decades. Their 2025 paper locates the pattern not in the raw wave but in its amplitude envelope, the slow outline of the sound.
Two routes make the needed modulation. Oscillators that lock and unlock in endless cycles do it one way. Resonant spaces that pile up selected tones do it another. Simulations show each route, and both together, yields clean 1/f spectra after demodulation, with no critical point required. The claim reaches beyond music to nature at large. Complexity scientists get a mechanism, not just a curve.
Catalog record
| CREATOR | Akika Nakamichi, Izumi Uesaka, Masahiro Morikawa |
|---|---|
| YEAR | 2025 |
| COLLECTION | PAPERS |
| FORMAT | TXT |
| FILE SIZE | 51 KB |
| VERSION | 1.0 |
| LICENSE | CC BY 4.0 |
| RIGHTS | CC BY |
| SOURCE | Europe PMC |