Claims of paleodata periodicity are many and controversial, so that, for
example, superimposing Phanerozoic (0–541 My) mass-extinction periods
renders life on Earth impossible. This period hunt coincided with the
modernization of geochronology, which now ties geological timescales to
orbital frequencies. Such tuneup simplifies energy-band (variance-)
stratification of information contents, enabling the separation of
astronomical signals from harmonics, e.g., using variance-based spectral
analysis. I thus show on diverse data (geomagnetic polarity, cratering,
extinction episodes) as a proxy of planetary paleodynamics that
many-body subharmonic entrainment induces a resonant response of the
Earth to astronomical forcing so that the 2π-phase-shifted axial
precession p=26 ky, and its Pi=2πp/i; i=1,…,n harmonics, get
resonantly responsible for virtually all paleodata periods. This
resonantly quasiperiodic nature of strata is co-triggered by a
p’/4-lockstep to the p’=41-ky obliquity (also 2π-phase-shifted, to
P’=3.5-My superperiod). For verification, residuals analysis after
suppressing 2πp (and thus Pi, too) in the current polarity-reversals
GPTS-95 timescale’s calibration extending to end-Campanian (0–83 My)
successfully detected weak signals of Earth-Mars planetary resonances,
reported previously from older epochs. The significant intrinsic
residual signal is 26.5-My Rampino period — the carrier wave of
crushing deflections co-responsible for transformative polarity
reversals. While the (2πp, Pi) resonant response of the Earth to orbital
forcing is the long-sought energy transfer mechanism of the Milankovitch
theory, fundamental system properties — 2π-phase-shift, ¼ lockstep to
a forcer, and the discrete time translation symmetry (multiplied or
halved periods) — previously thought confined to (quantum) time
crystal, here appear macroscopic, rendering the concept of time crystal
unremarkable. In turn, such a surprising cross-scale outcome has
confirmed the main result: that of planetary precession being a
cataclysmic geodynamic phenomenon as claimed in the past, e.g., as the
mechanism for Earth expansion; then a time crystal in quantum dynamics
could be due to particle entrainment, such as the collisions resulting
in Feshbach resonances.