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CHRONOHUMAN · Human Harmonic Oscillator Model · Version 42

Type A
Optional · you may calculate now
Optional · you may calculate now
F
M GENDER · Biological sex of the individual.
Determines the hormonal modulation frequency
integrated into the chronological wave model.
Input language independent —
works in any script: English, 中文,
العربية, Русский, 한국어 and more.
Type B
Optional · you may calculate now
Optional · you may calculate now
F
M GENDER · Biological sex of the individual.
Determines the hormonal modulation frequency
integrated into the chronological wave model.
Input language independent —
works in any script: English, 中文,
العربية, Русский, 한국어 and more.
Time of birth (A)Birth time (HH:MM) used to compute phase φ.
Defines the initial oscillator state for Type A.
Phase φ rad (A)Initial phase in radians (0 – 2π).
Fraction of daily cycle at moment of birth × 2π.
Phase φ deg (A)Same phase expressed in degrees (0° – 360°).
Easier to compare angular positions between A and B.
Cycle pos (A)Position within the daily cycle at birth (%).
0% = midnight · 50% = noon · 100% = next midnight.
Nodal pts (A)Total nodal points found over 112 years for Type A.
Dates when birth day-of-week repeats — harmonic resonances.
Time of birth (B)Birth time (HH:MM) used to compute phase φ.
Defines the initial oscillator state for Type B.
Phase φ rad (B)Initial phase in radians (0 – 2π).
Fraction of daily cycle at moment of birth × 2π.
Phase φ deg (B)Same phase expressed in degrees (0° – 360°).
Easier to compare angular positions between A and B.
Cycle pos (B)Position within the daily cycle at birth (%).
0% = midnight · 50% = noon · 100% = next midnight.
Nodal pts (B)Total nodal points found over 112 years for Type B.
Dates when birth day-of-week repeats — harmonic resonances.
Wave period112 yearsFull span of the harmonic model: 112 years.
LCM of all harmonic periods in the superposition.
X-axis scaleyearsCurrent time resolution of the X-axis.
Auto-adjusts with zoom: ms → sec → min → h → days → years.
Zoom scale0XCurrent zoom level (logarithmic scale 0–1000X).
Use +/− buttons or hold to navigate at selected speed.
Personal workspace · Calendar management,
notes & annotations, messages and events.
Your private data linked to Type A & B profiles.
Opens the Phase Portrait (Lissajous Attractor) for Type A & B.
⚠ Requires both Type A and Type B to be calculated first.
Displays the phase-space trajectory of A↔B oscillators,
coupling strength, lock state and Δφ over 112-year span.
+
ZOOM
SEC
60
Step: 60 seconds per click.
Hold +/− for slow continuous scroll.
Best for millisecond / second zoom level.
600
Step: 10 minutes per click.
Hold +/− for minute-level navigation.
Best for hour / day zoom level.
6K
Step: ~1.7 hours per click.
Hold +/− for fast scroll across days.
Best for week / month zoom level.
60K
Step: ~17 hours per click.
Hold +/− to sweep across years rapidly.
Best for year / decade zoom level.
+

NODAL POINTS — SIGNATURE MATCHES

Type A
Type B
#DateAge (yrs)AmplitudePhase

Verification Module · 3 Bio-Astronomical Markers

M1 · Period 24h
Detects the dominant biological period in actigraphy data.
Tests whether the rhythm matches the 24h geophysical cycle.
Goal: confirm or reject circadian synchronisation.
M2 · Drift / Isolation
Compares rhythm period before and during isolation.
A stable period in isolation = hidden geophysical correlator.
Goal: distinguish entrained vs free-running oscillator.
M3 · Mutual Information
Measures statistical dependency between activity and solar altitude.
Permutation test (n surrogates) estimates significance.
Goal: detect non-linear bio-astronomical correlation.
Actigraphy data · .FIT, .TCX (Garmin/Strava/Polar), Apple Health export.xml, or .CSV
Required CSV columns: timestamp, activity_counts
Example: 2024-01-01 00:00:00, 12
?
How to export your data

Garmin Connect: open an activity → ⋯ menu → Export to TCX, or Connect Web → Account → Export Your Data.

Apple Health: Health app → tap your profile photo → Export All Health Data → Export → save the export.zip and unzip to get export.xml.

Fitbit: Fitbit.com → Account Settings → Data Export, or an individual activity page → Export to TCX.

ONLY Generates CSV from Type A wave (30 days, 1 min/point).
Feeds model prediction directly into M1.
M1 measures model period → compare with real Δ.
⚠ Overwrites the field — does NOT combine with MODEL-B.
OR Same for Type B wave.
⚠ Overwrites the field — does NOT combine with MODEL-A.
Lomb-Scargle: spectral power estimator for unevenly sampled data.
Detects dominant frequency without requiring uniform time steps.
Best for real-world actigraphy recordings.
Lower bound of the search window (hours).
Default 20h — typical minimum for human circadian rhythm.
Reduce if testing ultradian periods.
Upper bound of the search window (hours).
Default 28h — covers circadian drift range 24±4h.
Increase if testing longer biological cycles.
Awaiting data…
Actigraphy data · .FIT, .TCX (Garmin/Strava/Polar), Apple Health export.xml, or .CSV
Required columns: timestamp, activity_counts
Baseline + isolation segments in one file
?
How to export your data

Garmin Connect: open an activity → ⋯ menu → Export to TCX, or Connect Web → Account → Export Your Data.

Apple Health: Health app → tap your profile photo → Export All Health Data → Export → save the export.zip and unzip to get export.xml.

Fitbit: Fitbit.com → Account Settings → Data Export, or an individual activity page → Export to TCX.

ONLY 60 days of Type A wave → M2 analyses model drift.
Isolation start = midpoint of range (day 30).
Model drift Δ vs reality = endogenous oscillator validation.
⚠ Overwrites the field — does NOT combine with MODEL-B.
OR Same for Type B wave.
⚠ Overwrites the field — does NOT combine with MODEL-A.
UTC datetime when isolation protocol began.
Data before this point = baseline segment.
Data after = free-running isolation segment.
Format: YYYY-MM-DD HH:MM:SS
Awaiting data…
Actigraphy data · .FIT, .TCX (Garmin/Strava/Polar), Apple Health export.xml, or .CSV
Required columns: timestamp, activity_counts
Example: 2024-01-01 00:00:00, 12
?
How to export your data

Garmin Connect: open an activity → ⋯ menu → Export to TCX, or Connect Web → Account → Export Your Data.

Apple Health: Health app → tap your profile photo → Export All Health Data → Export → save the export.zip and unzip to get export.xml.

Fitbit: Fitbit.com → Account Settings → Data Export, or an individual activity page → Export to TCX.

ONLY Type A wave → Actigraphy CSV field.
MI(model, reality) → p-value = φ-model validity measure.
If p<0.05 — model predicts real behaviour.
⚠ Overwrites the field — does NOT combine with MODEL-B.
OR Same for Type B wave.
⚠ Overwrites the field — does NOT combine with MODEL-A.
Ephemeris data · .CSV only
Required columns: timestamp (UTC), solar_altitude
Example: 2024-01-01 00:00:00, -25.3
Number of random permutations for the null distribution.
Higher = more precise p-value, but slower computation.
Default 1000 · minimum recommended: 500.
Number of histogram bins for MI estimation.
Too few = low resolution · too many = sparse counts.
Default 20 · optimal range: 10–50 for typical datasets.
Awaiting data…
MATHEMATICAL TOOL  ·  HUMAN HARMONIC OSCILLATOR MODEL
DOI 10.5281/zenodo.20929060
© Arthur KEHLER  —  arturdowgul.do.am