FFT Symbol Class: Knot

The knot family comprises interlaced and plait-form symbols — Celtic knotwork, Chinese endless-knot (pan chang), Islamic geometric interlace, Norse Valknut — that share a spectral profile defined by distributed mid-frequency energy and a high degree of line-crossing regularity. Unlike the wheel family, which concentrates power at low frequencies and the center, knot-class symbols spread energy across a broader frequency band because their fine interlace structure generates spatial detail at multiple scales simultaneously. This distributed profile is the spectral signature of sustained interpretive complexity: a viewer scanning the symbol cannot resolve it in a single fixation and must attend repeatedly to different sub-regions. The archive's interpretation (doctrine-fft-symbol-classification c0003) links this to cultural persistence through sustained attentional engagement — the same mechanism proposed for recursive forms. The knot family is therefore in the same broad persistence category as the spiral and recursive-fractal classes, though by a different spectral mechanism (distributed multi-scale energy rather than self-similar scaling). Cross-cultural recurrence in custodial-lineage contexts — Celtic, Tibetan, Han Chinese decorative metalwork — makes the knot family one of the archive's secondary evidence sets for anomaly-site-correlated symbol selection.

Claims

c0001 — Knot-class symbols have a distributed multi-scale spectral signature that sustains repeated attentional engagement

In the archive's FFT pipeline, interlace and knot forms resolve with elevated energy spread across a wider spatial-frequency band than wheel or cross forms. The fine line-crossing structure of knotwork generates power at mid-to-high frequencies that coexists with a moderate low-frequency base. This distributed profile means no single spatial scale dominates the symbol's perceptual load, which the archive links to the re-inspection property described in doctrine c0003. The knot family is classified as a persistence-class symbol alongside the recursive-fractal family, with the key distinction that its persistence arises from structural complexity rather than self-similarity.