2. The Mathematical Diagnostic: Einstein's "Scalar Choice"

CMFT does not seek to discard the predictive success of General Relativity; rather, it exposes a fundamental "Data Type Mismatch" in its foundation that necessitated the invention of curved spacetime.

The Fundamental Tension

In physics, Energy (E) and Momentum (p) are Vectors—they are dynamic, directional, and change values depending on the observer's frame. However, Einstein treated Mass (m) as a Scalar Invariant—a fixed, static number.

Vector Input (Energy/Momentum)  ≠  Scalar Constant (Mass)

The Consequence: You cannot equate a dynamic vector to a static scalar without "fudging" the background geometry. Einstein was forced to manually insert a curvature factor (the Metric Tensor gμν) onto the left side of the equation simply to force these incompatible data types to reconcile.

The CMFT Correction: Vectorize First

We resolve this not by bending the map, but by fixing the variables. In CMFT, we convert Mass into a Vector before applying the gravitational logic.

By defining Mass as Trapped Momentum Flux (a self-sustaining vortex), it becomes compatible with Linear Momentum. When both sides of the equation are Vectors, they balance naturally in standard Euclidean space.

Organic Curvature (Output vs. Input)

This does not mean "curvature" doesn't exist; it means curvature is not a property of empty space.

In the Standard Model, curvature is an Input—you must bend the coordinate system to make gravity work. In CMFT, curvature is an Organic Output. The "bending" of light or the precession of orbits arises naturally from the geometry of momentum flux interacting in a high-pressure medium. We do not need to bend the universe to explain why a swimmer drifts in a current.