Not Perpetual Motion: Simple Pulley Test Reveals Overlooked Variable in Gravity-Based Energy Models

This submission presents a simple, easily repeatable pulley experiment intended to highlight what the author argues is an overlooked variable in standard interpretations of gravitational energy extraction. The setup uses two masses connected by a rope running over ceiling-mounted pulleys. A heavier container is lifted to a starting height while tied to a lighter container resting on the floor. When released, the heavier container descends and lifts the lighter one through the same vertical distance. The video documents the sequence in real time. Under the conventional 3-D work equation W=FdW = FdW=Fd, the descending mass is assumed to provide only enough usable energy to fall its own height, with the upward motion of the lighter mass treated as “negative work” that subtracts from the total. In the actual demonstration, however, the heavier container still completes its full drop while simultaneously raising the lighter one, suggesting that describing the system through net displacement alone may eliminate important physical contributions. The accompanying documents outline the conceptual motivation for re-examining this assumption. The author proposes that slowing a falling mass increases the duration over which gravity acts, and that the standard work equation removes this time-dependence by definition. The second document analyzes why the traditional Atwood subtraction method (m1−m2)gh(m_1 - m_2)gh(m1−m2)gh does not match the observed behavior, in which both masses undergo full gravitational displacement and the upward motion of the lighter mass represents additional—rather than subtractive—gravitational action. This version introduces a new, hypothetical 4-D formulation intended to address these issues explicitly. Instead of treating distance as net displacement and writing time out of the equation, the proposed framework defines gravitational action as: A4D=F⋅Σd⋅Δt,A_{4D} = F \cdot \Sigma d \cdot \Delta t,A4D=F⋅Σd⋅Δt, where Σd\Sigma dΣd is the sum of all actual distances moved and Δt\Delta tΔt is the elapsed time of interaction. The author suggests that this 4-D approach better captures the continuous, time-dependent nature of gravitational influence and avoids the cancellation effects inherent in the 3-D work model. The formulation is presented as hypothetical and would require experimental testing to evaluate its predictive validity. No claim of perpetual motion is made. The materials are provided to invite discussion, encourage independent replication, and explore whether gravitational systems may require a time-inclusive framework for accurate analysis. All original files remain included for full context.