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After a year of intensive and difficult work, I completed and submitted two physics papers that identify the origin of all force laws (other than the weak and strong force), including gravity and inertia. This also identifies the origin of the equivalence principle. A core finding: time dilation creates gravity, gravity does not create time dilation.
The central identity identified in the first paper, F = −ħ∇ω (the force experienced by a particle is linearly proportional to the gradient in the frequency of the particle's wave function) unifies general relativity (∇ω), quantum mechanics (ħ) and classical mechanics (F), without requiring the quantization of gravity or invoking a graviton.
In the second paper, I reformulated the Dirac equation (the relativistic version of the Shrödinger equation for the wave function of a particle) into quaternionic form, and was able to show that all force laws other than the strong and weak force can be directly obtained from the wave function, in combination with the force-frequency identity of the first paper.
Submitted to Physics Review D.
PDF links:
(1) cdn.jsdelivr.net/gh/lukehutch/p…
(2) cdn.jsdelivr.net/gh/lukehutch/p…
The central identity identified in the first paper, F = −ħ∇ω (the force experienced by a particle is linearly proportional to the gradient in the frequency of the particle's wave function) unifies general relativity (∇ω), quantum mechanics (ħ) and classical mechanics (F), without requiring the quantization of gravity or invoking a graviton.
In the second paper, I reformulated the Dirac equation (the relativistic version of the Shrödinger equation for the wave function of a particle) into quaternionic form, and was able to show that all force laws other than the strong and weak force can be directly obtained from the wave function, in combination with the force-frequency identity of the first paper.
Submitted to Physics Review D.
PDF links:
(1) cdn.jsdelivr.net/gh/lukehutch/p…
(2) cdn.jsdelivr.net/gh/lukehutch/p…