Exploratory research / Cale McCollough
Gradient Relativity
My proposed model of condensed space, gravitational contraction, and electron structure. This is a working research draft, not a validated physical theory. The current manuscript states its postulates, reference physics, and unresolved derivations.
00 / The Video
Watch the theory.
An introduction to the original geometric picture. The current manuscript updates the earlier notes and describes the remaining derivation work; animations illustrate the hypothesis.
Watch directly on YouTube01 / Foundations
What the model proposes.
Mass as condensed space
The proposal treats mass as condensed space and describes exchange between space/EM and mass components. The manuscript separates that postulate from established reference physics.
Pressure-driven contraction
The proposed pressure drives space into two masses while the intervening region contracts. A pressure law and an operational model of measurable distance remain derivation targets.
A proposed electron cycle
The manuscript explores a 360-degree + 360-degree cycle exchanging space and mass components. Electron properties and a conserved dynamical model have not yet been derived from that picture.
Transport and interaction
The transport interpretation explores source-to-receiver paths and least-action outcomes. Animations illustrate the hypothesis; quantitative predictions and tests remain open work.
02 / Reference equations
These standard relations provide context, not proof of the proposed model. The equation audit tracks corrections and derivation limits in the research notes.
Energy–Momentum Relation
E² = (mc²)² + (pc)²
Speed of Light
c = 1/√(ε₀μ₀)
03 / Open work
Current derivation targets.
- Define a pressure and conversion law with measurable physical units.
- Specify observable geometry and a method for measuring contraction.
- Derive conserved field dynamics and the proposed electron properties.
- Produce quantitative predictions that can be compared with observations.
The paper is public.
The current manuscript, equation audit, historical notes, and illustrative simulations are in the public repository. Read the assumptions and limitations before evaluating the proposal.