DRAFT: A Formal Introduction to the Unified Theory of Energy (UTE) for Theoretical Physicists

Toward a Recursive, Scale-Aware Unification of Energy, Gravitation, and Radiation

1. Introduction – The Fractured State of Modern Physics

Physics, at its core, has always sought unification. From Newton’s mechanics to Maxwell’s electrodynamics, from Einstein’s relativity to the attempts at a quantum theory of everything, each major breakthrough has attempted to reconcile disparate forces and laws under a common mathematical structure.

Yet, despite its triumphs, modern physics remains fundamentally incomplete:

In The Unified Theory of Energy (UTE), we abandon these artificial separations. Instead, we return to first principles, defining energy recursively in terms of:

From these three fundamental states, we construct a universal conservation equation:

E_total = E_extended + E_potential + E_kinetic

Energy exchanges between these states are governed by Surface Interactions, occurring in six recursive Degrees of Surface Interaction (D=0 through D=6+).

2. The Failures of Cartesian Physics and the Necessity of Recursion

The Cartesian Grid (D=2 Limitation)

The 1/r² Fallacy

Non-Recursive Mathematics in Energy Theory

To correct these errors, physics must become explicitly recursive, with all energy states nested within a Radiation Coordinate System.

3. Degrees of Surface Interaction (D) and the Unified Conservation of Energy

In UTE, energy is exchanged through discrete Degrees of Surface Interaction:

E_total = G ⋅ R

Where Gravitation (G) and Radiation (R) balance at the Surface of a Mass Structure.

This hierarchy explains energy storage and transition at every scale, without invoking paradoxical constructs like entropy collapse or singularities.

4. Generalizing Force Laws: Beyond 1/r² and Into Recursive Gravitation

Recursive gravitation replaces flat-space assumptions:


F(r) = ∫₀²π [G·M(θ)] / [r² + sinθ] dθ
θ = D / 2

This recursive formulation:

5. Why This Matters: Restoring Physics as a Unification Effort

UTE resolves this by treating energy as the conserved quantity and everything else as emergent:

UTE is not alternative physics—it is a completion of physics, extending known frameworks into recursion-aware, scale-consistent models.

Conclusion: An Invitation to Recursion

The Unified Theory of Energy is a framework for course correction. It demands that physics abandon non-recursive assumptions and address the nested reality of energetic systems.

This work invites theoretical physicists to:

The universe was never flat. It is time to model it as it is: recursive, nested, and alive with structured energy transitions.