{
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  "id": "p2_06_depth_is_frequency",
  "title": "The published depth is the frequency of the ground's motion",
  "date": "2026-09-28",
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  }
 },
 "profile_max_difference": 8.881784197001252e-16,
 "site_tones_m": {
  "giza_ground": {
   "label": "Giza ground resonance (ELGabry et al. 2026)",
   "f_hz": 0.6,
   "depth_m": 4.057363
  },
  "khufu": {
   "label": "Khufu's own resonance (ELGabry et al. 2026)",
   "f_hz": 2.3,
   "depth_m": 11.554935
  },
  "microseism": {
   "label": "microseism peak",
   "f_hz": 0.2,
   "depth_m": 1.352454
  }
 },
 "finding": "The published depth is the frequency of the ground's motion, relabelled. On the real Giza geometry, with the 2022 paper's bank and its lambda_s of 0.48 m, the steering grows by 0.929 rad/m every second of slow time, so the focusing is a Fourier transform over slow time and puts motion at 6.76 m of depth per hertz (lambda_s R sin theta / 2 V_s = 6.76 m). Given the exact motion at every pair, it draws a 0.2 Hz microseism at 1.32 m over a chamber 15 m down, over one 30 m down and over open ground alike (profiles identical to 9e-16); only the brightness changes. Its pairs sample slow time at 4.0 Hz, so its whole depth axis, 0 to 13.6 m, is the band 0 to 2.0 Hz and anything faster folds back: Giza's own 0.6 Hz resonance would be drawn at 4.1 m and Khufu's 2.3 Hz at 11.6 m."
}