📘 Motion Theory: Field Dynamics and Geometric Interpretation

I. The Symmetry of Motion and the Role of Φ_μν

Motion Theory asserts that the primary substance of existence — the "essence" — manifests as pure, uninterrupted motion. Any deviation from this perfect motion is captured by the antisymmetric tensor:

When \( \Phi_{\mu\nu} = 0 \), the motion remains invisible and formless. When \(\Phi_{\mu\nu} \neq 0 \), the curvature appears — and with it, the beginnings of geometry.

II. The Emergence of Fields

The deviation tensor \( \Phi_{\mu\nu} \) creates a dynamic field analogous to electromagnetism. However, in Motion Theory, it does not represent force between particles, but internal deviations within absolute motion.

This results in a natural form energy potential:

III. Noether’s Theorem and Geometry

If the absolute motion \( \Phi_{\mu} \) defines a symmetry, then by Noether’s theorem, a conserved quantity must arise. This symmetry gives rise to the conservation of the motion field's energy–momentum tensor:

IV. Geometric Field Equation

Drawing inspiration from Einstein's field equations, Motion Theory proposes a geometric field interaction:

Here, \( G_{\mu\nu} \) is the Einstein tensor of curved spacetime, and \( T^{\mu\nu}_{\Phi}\) arises from pure motion deviation.

Unlike gravity induced by mass, curvature in this model is driven by intrinsic deviation.

V. Physical Implications

• Geometry from Deviation: All spacetime geometry is an emergent structure from \( \Phi_{\mu\nu} \neq 0 \).
• Mass as Secondary: Mass does not cause geometry — deviation in flow does.
• Dark Matter & Dark Energy: May be geometric effects of invisible \(\Phi\)-deviations not forming visible matter.