Solar Oscillations and the Orbital Invariant Inequalities of the Solar System

Gravitational planetary lensing of slow-moving matter streaming towards the Sun was suggested to explain puzzling solar-flare occurrences and other unexplained solar-emission phenomena (Bertolucci et al. in Phys. Dark Universe17, 13, 2017). If it is actually so, the effect of gravitational lensing of this stream by heavy planets (Jupiter, Saturn, Uranus and Neptune) could be manifested in solar activity changes on longer time scales too where solar records present specific oscillations known in the literature as the cycles of Bray–Hallstatt (2100–2500 yr), Eddy (800–1200 yr), Suess–de Vries (200–250 yr), Jose (155–185 yr), Gleissberg (80–100 year), the 55–65 yr spectral cluster and others. It is herein hypothesized that these oscillations emerge from specific periodic planetary orbital configurations that generate particular waves in the force-fields of the heliosphere which could be able to synchronize solar activity. These harmonics are defined by a subset of orbital frequencies herein labeled as “orbital invariant inequalities” of the solar system that derive from the synodical periods among the Jovian planets. Thus, they are associated with the repeating pattern of planetary alignment relative to the Sun when tidal forcing, interplanetary magnetic couplings and planetary lensing effects could be enhanced. These frequencies are physically relevant also because they are invariant relative to any spinning system centered on the Sun and, therefore, they and their combinations should characterize the spectrum of any forcing able to externally synchronizing the internal dynamics of the solar dynamo. Herein the orbital invariant inequalities of the solar system are determined and are demonstrated to cluster around specific spectral bands that exactly correspond to the above spectrum of solar activity. In particular, the orbital invariant inequality model is shown to predict, both in frequency and phase, the Bray–Hallstatt cycle (2100–2500 yr) found in Δ14C and in climate records throughout the Holocene. The result suggests that some kind of planetary forcing is synchronizing solar internal dynamics