Core-Only Spheres: A Prediction of the PEI Gravity Framework
Paudelian Economics Institute (PEI) proposes a gravity framework in which gravitational attraction originates from an internal generative core, while exterior matter—dust, debris, and accreted mass—plays a passive role. From this framework follows a natural and distinctive prediction: the possible existence of spherical bodies that possess a gravitational core but little to no surrounding shell.
The idea of a shell-less sphere
In most familiar astronomical settings, gravitational cores gradually accumulate surrounding matter. Over time, dust and debris form a shell that grows outward, producing the planets, stars, and other bodies we observe. However, PEI’s framework does not assume that accretion is inevitable or universal.
Instead, accretion depends on environmental availability. If a gravitational core is ejected or formed in a region of space where dust and debris are scarce—such as intergalactic voids or highly evacuated cosmic regions—then the core may have nothing substantial to accrete. In such a case, the body remains in a near-pure state: a sphere defined almost entirely by its internal generative structure.
These are what PEI refers to conceptually as core-only spheres.
Why such objects follow naturally from the theory
Within the PEI framework:
Gravity is generated by the core, not by the shell.
Accretion does not amplify gravitational strength; it only increases radius.
Growth is therefore contingent, not guaranteed.
From these premises, it follows logically that a gravitational core does not require surrounding mass in order to exist or function. The shell is a consequence of circumstance, not a prerequisite for gravity.
If a core is isolated from available matter, it will:
continue to generate gravity,
remain compact,
and exhibit gravitational influence without significant visible mass.
The theory therefore predicts that shell-less or minimally shelled gravitational spheres should exist wherever environmental conditions prevent accretion.
How this differs from conventional expectations
Traditional gravitational thinking often equates gravitational presence with visible mass. A strong gravitational influence is expected to correspond to a large or dense accumulation of matter. In contrast, PEI’s framework allows for a different possibility: objects whose gravitational influence is not matched by their visible size or mass.
Such spheres would not be “failed planets” or “unfinished stars.” They would be complete objects in their own right—fully formed gravitational sources that simply never acquired a shell.
Observational implications
If core-only spheres exist, they may be:
difficult to detect optically,
weak or absent in electromagnetic signatures,
but dynamically influential through gravitational effects.
Their presence might be inferred indirectly—through unexplained motions, lensing anomalies, or localized gravitational effects where little visible matter appears to exist. PEI’s framework suggests that such observations should not automatically be attributed to missing mass or measurement error, but could instead point to unaccreted gravitational cores.
A broader cosmological implication
The prediction of core-only spheres reinforces one of PEI’s central ideas: mass accumulation is an ongoing and conditional process, not a universal outcome. Cosmic structure is shaped not only by intrinsic generative capacity, but also by environment. Where matter is abundant, shells grow. Where matter is scarce, cores remain exposed.
This introduces a richer and more diverse picture of the universe—one in which gravitational objects exist along a spectrum, from fully accreted bodies to nearly pure cores.
A prediction, not a claim
PEI does not assert that such spheres have already been identified. Rather, their existence emerges as a theoretical prediction of a core-sourced gravity framework. Whether future observations support or refute this idea remains an open question.
What matters at this stage is conceptual clarity. If gravity originates from an internal generative structure and accretion is environmentally limited, then shell-less gravitational spheres are not exotic exceptions—they are a natural consequence.
Exploring this possibility is part of PEI’s broader commitment to foundational inquiry: asking not only how the universe behaves, but how else it might coherently be understood.