International Journal of Astronomy and Astrophysics > Vol.12 No.3, September 2022
AI Overview (Key Concept Clarity)
Scalar Field Model:
The scalar field (S) is derived using Newtonian gravitational potential and classical kinetic energy. This model introduces a dimensionless scalar value (A) representing the time rate at a location influenced by a gravitational field, relative to a location with no gravitational influence. It cultivates an alternative explanation of relativistic effects in a simplified framework.
Time Dilation:
The paper explores how time dilation can be derived from the scalar field, showing first-order equivalence with Schwarzschild’s solution to Einstein’s field equations. The time dilation effect is represented using a simple proportional relationship, highlighting the model’s alignment with General Relativity (GR).
Orbital Advances:
The scalar field model predicts advances in celestial orbits. Using classical mechanics, it derives perihelion shifts comparable to GR predictions, such as the observed perihelion shift of Mercury. The advance is shown to be constant for circular orbits and depends on orbital parameters for elliptical paths.
Hydrogen Atom and Discrete Energy Levels:
The model is applied to the hydrogen atom, treating the electron-proton system as a classical orbit. The orbital advance caused by the scalar field adds additional binding energy, which aligns with the observed quantum energy levels of hydrogen. This unexpected prediction suggests a gravitational origin for discrete energy states.
Fine Structure Constant (α):
The model connects the fine structure constant (α) to the gravitational advance of the electron orbit, offering a potential link between GR and quantum phenomena. It posits that the angular momentum of the system steps in discrete increments proportional to the Planck constant (ℏ\hbarℏ).
Spectral Emissions:
The paper demonstrates that the derived energy levels and differences correspond to the hydrogen atom’s spectral emissions (e.g., Lyman series). This finding supports the model’s validity in predicting quantum phenomena through classical-like calculations.
Bridge Between GR and QM:
The central claim of the paper is that this scalar field model provides a conceptual bridge between GR and QM by reproducing relativistic effects and quantum energy levels using a classical scalar field approach. It challenges the conventional notion of GR and QM being fundamentally incompatible.
Conclusions and Future Research:
The paper concludes that the scalar field model aligns with known empirical data but notes the need for further investigation to understand why the model predicts accurate results. Specifically, it calls for additional exploration of how the model links rest energy and quantum properties.
Abstract
Herein is introduced a simple scalar field model derived from classical based kinetic energy, gravitational potential energy, and Special Relativity’s rest mass energy. By applying a classical orbit over the scalar field, relativistic effects are predicted. The scalar field is then applied to a classical model of the Hydrogen atom resulting in a relativistic effect equal to the binding energy of the Hydrogen atom. In addition, the model derives the fine structure constant due to the gravitational effect. The relativistic effects are then discretized in increments equal to the model’s gravitational induced constant. The discretization produces the Hydrogen atom spectral emissions and an angular momentum equal to Planck’s reduced constant. The model is not presented as a replacement for current theory, rather it is for inspection and illustration of how a simplistic model may offer a fundamental bridge between the more complex, time proven theories of General Relativity and Quantum Mechanics.