  This treatise outlines how a non-systematic based Pioneer anomaly, with its
implied violation (re: 'low' mass bodies only) of both general relativity's
weak equivalence principle and the Newtonian inverse-square law, can be
successfully modelled. These theoretical hurdles and various awkward
observational constraints, such as the low value of Pioneer 11's anomaly
pre-Saturn encounter, have (to date) not been convincingly modelled.
Notwithstanding the recent trend to embrace a non-constant Sun/Earth-directed
heat based explanation of this anomalous deceleration, the actual: nature,
direction, and temporal and spatial variation of the Pioneer anomaly remain an
open arena of research. Working backwards from the observational evidence, and
rethinking: time, mass, quantum entanglement and non-locality, we hypothesise a
mechanism involving a quantum mechanical energy source and a new type of
'gravitational' field; neither of which lie within general relativity's domain
of formulation/application. By way of a systemic conservation of energy
principle, an internally inexpressible (aggregate) non-inertial energy
discrepancy/uncertainty -- involving a myriad of quantum (lunar/third-body
residing) atomic and molecular systems moving in analog curved spacetime -- is
(non-locally) re-expressed externally as a (rotating) non-Euclidean spatial
geometry perturbation. At a moving body each "rotating space-warp" induces
sinusoidal proper acceleration and speed perturbations, as well as a path-based
constant (per cycle) rate of speed shortfall relative to predictions that omit
the additional effect. 'Solutions' of the new model may extend to: the Earth
flyby anomaly, solar system related large-scale anomalies in the CMB radiation
data, the nature of dark energy, and how a theory of everything unification
agenda is inadvertently impeding a deeper understanding of physical reality and
quantum entanglement.
