Abstract

Context. Solar declination standstills, semiannual GRACE gravimetric residuals, and helical magnetised outflows in stellar environments
are usually treated as disconnected phenomena. Each is well measured and robust, yet no unified physical interpretation exists within
standard heliophysics and geodesy.
Aims. We investigate whether these three phenomena – geometric declination behaviour, gravimetric semiannual signals, and large–
scale inductive helical flows – can be interpreted as independent manifestations of a single weak external field acting on the Earth–Sun
system, and whether such a field implies a restricted class of large–scale structures.
Methods. We proceed in four steps. First, we derive a purely geometric baseline for the solar declination and quantify the standstill
behaviour near the solstices for constant obliquity. Second, we decompose the GRACE semiannual residual after Earth–system
corrections and examine its phase relation to the declination residuals with respect to the geometric baseline. Third, we construct a
conservative effective external field model consistent with both datasets and estimate the required torque. Fourth, we analyse the energy
and angular–momentum budgets of candidate astrophysical structures to identify which can generate a field with the inferred symmetry,
magnitude, and stability.
Results. The geometric derivation proves that declination standstills arise strictly from projection effects for constant obliquity,
providing a clean baseline against which small residuals can be measured. When the observed declination data are differenced from
this baseline, the residuals exhibit a semiannual component aligned in phase with the semiannual GRACE residual and stable across
multi-year windows. Matching amplitudes implies an external torque of order 1017 Nm. A general effective field analysis shows that
axially aligned, helically magnetised, inductive plasma structures can generate a torque with the required symmetry, magnitude, and
long–term stability while remaining consistent with constraints on Earth’s rotation and orbit.
Conclusions. Within this framework, solar geometry, GRACE gravimetry, and helical inductive MHD dynamics emerge as three
observational manifestations of a single weak external torque acting on the Earth–Sun system. The effective-field constraints define a
closed “constraint maze” in which standard models reach a scientific dead-end, and the allowed parameter space narrows to a small class
of helically inductive structures, one possible realisation of which corresponds to what has been termed the Interuniversal Machine.