Gravity: An Emergent Consequence of Balanced Rotational Dynamics?

Constructed and Copyright © 2025 by Corley Kinnane.

Dare to perceive gravity not as a fundamental, elementary force mysteriously embedded in the cosmos, but as an inevitable, macroscopic manifestation arising from a universe where energy itself is primordial, structured motion. Envision matter not as static substance, but as dynamic entities defined by incessant, internally balanced rotational mechanics. These entities interact locally, not through an inherent pull, but by projecting a symphony of tangential rotational influences upon one another, influences whose potency naturally diminishes across space as their originating energy flux adheres to inviolable conservation laws. It is the collective, grand-scale summation of these myriad, subtle, yet precisely balanced local rotational exchanges that inevitably orchestrates the emergent phenomenon of radial attraction we label 'gravity'—a profound consequence of motional mechanics playing out on the stage of spacetime, rather than a distinct force requiring its own elusive particle or a separate explanation beyond the inherent properties of energy and motion themselves.

From Local Rotational Nudges to Emergent Attraction: The Mechanism

The conceptual "simulated atoms" in this model are defined by their internal, balanced rotational dynamics. When these atoms interact, they do so not by exerting direct radial forces, but through a more fundamental rotational mechanism that adheres to Newtonian principles of motion and is guided by energy conservation:

• Balanced Tangential Influence: An influencing atom i acts upon a target atom j (at a distance R between their Centers of Mass) by imparting two tiny, equal, and opposite tangential rotational "nudges." These are conceptualized as attempts to rotate atom j around atom i by a small angle +alpha(R) and then by -alpha(R) (or vice-versa). The axis for these elemental rotations in 3D would be perpendicular to the line connecting i and j; in our 2D simulation, this happens naturally within the plane.
• Superposition of Displacements: Each of these small angular nudges would cause a slight tangential displacement of atom j. When the vector sum of the displacements resulting from the +alpha(R) nudge and the -alpha(R) nudge is calculated, the tangential components cancel out due to symmetry.
• Emergent Radial Attraction: The result of this sum is a net displacement for atom j that is purely radial, directed straight towards the influencing atom i. The magnitude of this attractive displacement D(R) is found to be approximately proportional to |R| * alpha(R)^2 (for small alpha).
• Strength of Influence (alpha(R)) and Energy Conservation: The magnitude of the elemental rotational nudge, alpha(R), is not constant. It reflects the diminishing intensity of the atom's emanating rotational energy flux. To achieve an effective 1/R^2 attractive force (analogous to 3D Newtonian gravity, which is the target for this demonstration) via the D(R) ~ R * alpha(R)^2 mechanism, alpha(R) must be scaled proportionally to 1/R^(3/2). This specific scaling ensures that the strength of the emergent attraction follows the desired inverse square law, conceptually linking it to the 1/R^2 dissipation of energy flux intensity from a point source in 3D.

Thus, by applying these local rules of balanced rotational influence—rules that are themselves governed by energy conservation in how their strength propagates—the simulation demonstrates how a collective, gravity-like radial attraction can emerge purely from the motional dynamics of the constituent "atoms."

A 2D Simulation Demonstrating Emergent 1/R^2 Attraction

The following interactive p5.js simulation demonstrates this concept in a 2D plane. Each atom attempts to "rotate" every other atom using the balanced ±alpha mechanism, where alpha(R) is scaled as 1/R^(3/2) to produce an effective 1/R^2 emergent attractive force. Observe how these initially random particles, interacting only through these local rotational rules, begin to clump together, mimicking gravitational aggregation. The complex dynamics within the clumps are a direct result of the underlying rotational nature of the interaction.

Simulation Source Code

This is the complete, single-file HTML and JavaScript code used to run this presentation page and the integrated simulation.