Rocky Has Sonar
Passive echolocation and Fourier transform
Grace discovers Rocky doesn't see with light but with sound: passive echolocation. Aluminum is "transparent" to Rocky. Using Fourier analysis, Grace begins decoding the Eridians' musical language.
Sonar instead of vision: how Rocky "sees"
Rocky can't distinguish ink marks but can "see" through an aluminum plate. Grace deduces he uses passive sonar.
The science behind it
Humans perceive the environment with photons (light). Rocky uses sound waves. On his planet, with 29 atm of ammonia and possibly no surface light, optical vision never evolved.
Unlike bats and dolphins (active sonar: emit pulses and listen for echoes), Rocky uses passive sonar: his brain processes ambient sound bouncing off objects.
A thin aluminum sheet blocks nearly all light but transmits sound perfectly. To Rocky, the Hail Mary's metal hull is as transparent as a glass window to us.
Ink marks on a measuring tape produce no relief, so sonar can't detect them. Only physical relief is "visible" to sonar. That's why the Eridian clock has raised numbers (3 mm high).
Key terms
Fourier transform: decoding the language
Grace installs Fourier analysis on his laptop. When Rocky speaks, the software shows each chord's frequencies.
The science behind it
The Fourier transform is an algorithm that decomposes any complex signal into its component frequencies. Record a piano chord, and the algorithm tells you exactly which notes compose it.
Human speech is chaotic: constantly changing formants, noisy consonants, blending vowels. It's hard to cleanly decompose.
Eridian chords have discrete, stable frequencies: each "phoneme" is a precise combination of notes. The Fourier algorithm identifies them unambiguously.
5 simultaneous notes in a chord implies 5 independent "vocal cords." Grace can transcribe each word as a list of numerical frequencies and build a dictionary.
Key terms
Try it yourself
Fourier Visualizer: Eridian Language
Select notes to create an Eridian "chord." The Fourier transform decomposes sound into frequencies.