Unifying All Four Fundamental Forces: A Uniquely Interacting Graviton

What if gravity, the electromagnetic force, the strong nuclear force, and the weak nuclear force, the four fundamental forces of nature, could be one? Can a single force explain the intricate dynamics of the universe, from the tiniest subatomic particles to the vastness of cosmic structures? This paper explores this hypothesis, focusing on a graviton with self-interacting properties derived from Witten's Math Knot Theory and Super Symmetry principles.

The Quest for Unification: The Graviton and Its Role

Witten's Math Knot Theory and Super Symmetry principles suggest that the graviton, theoretical particles responsible for gravity, can have self-interacting properties. This idea brings forward the concept of a uniquely interacting graviton, where the gravitational constant gm is related to the electromagnetic constant ke through the equation gm^2 137.036 e- ke^2 / (4πe/2π) . This mathematical relationship establishes a bridge between gravity and electromagnetism, hinting at a deeper, unified interaction.

The Harmonic Oscillator: A Quantum Black Hole Model

The hypothesized unified force oscillates through three quantum black holes at the Planck scale, a scale where the limits of known physics blur. The Planck length, l gm / c^2 hν / (2πc^3)^0.5 1.61623110^-35 meters , is a critical length scale in this model, dictating the behavior of gravitational and quantum forces. By examining this scale, one can derive the frequency of gravitons and photons, leading to a more comprehensive understanding of the fundamental forces.

Proton and Atomic Scale Dynamics

At the subatomic level, the unified force can determine the behavior of protons and atoms. For example, the proton scale, pl gp4πpm / 3 / c^2 8.80910^-16 meters , and the atomic scale, derived from A^2 gppiμe / 128.4980143c^2 , can be used to generate the strong force gp gm^2 / μm^2 gpl / 4.1888 l^2 1.1310^28 . The electromagnetic force between the proton and electron can be described by ke^2 gppiμm^2 / 137.036 , providing a framework to understand the interactions within a hydrogen atom.

Quantum Gravity and Dirac's Quantum Field

The unified force can also be utilized to reproduce Dirac's quantum field, a fundamental concept in quantum mechanics. The equation 0.001161409725 1 / (2π137.036) e / ch describes the relationship between the elementary charge and the speed of light, connecting these constants with the unified force. This relationship is pivotal for understanding the weak nuclear force, which is crucial in explaining phenomena such as the anomalous magnetic moment of the electron.

Weak QED and Quantum Gravity

Through the Schwinger's weak QED and Yang-Mills gauge field, the weak force can be united with the electromagnetic force. The position constant, u 4π10^-7 , and permeability of free space, p 8.8541878210^-12 , provide further insights into the behavior of photons. The equation 2pike^2137.036 ch 2pig137.036μe / l137.036μe / l 8pi137.036A^2pmc^2 / 128.4980143 / 128.51991 2A1137.036pmc^2 / 4piA137.036 EnL demonstrates how the unified force interacts with quantum gravity, producing photons at the speed of light.

Evidence and Challenges

Experiments such as the muon magnetic moment, documented by Fermilab on 8/10/23, support the hypothesis of a unified force. The discrepancy between experimental data and theoretical predictions (g-2/2 factor) suggests that the unified force could indeed explain these subtleties. The concept of super symmetry, where 137.036, pm, me are super partners, further supports the idea of a super negative vacuum energy, ch / 2π137.036 at atomic scale , which can be considered the 5th force of anti-gravity.

This research proposes a new framework for understanding the fundamental forces of nature, suggesting that the seemingly disparate gravitational, electromagnetic, strong, and weak forces are interdependent through the unique properties of the graviton. It emphasizes the need for continued exploration and experimentation to validate this hypothesis and potentially revolutionize our understanding of the universe.