# Relativistic Newtonian Dynamics

## TL;DR

This paper introduces a new relativistic Newtonian dynamics model that incorporates potential energy's influence on spacetime, explaining Mercury's precession and atomic probabilistic behavior without relying on curved spacetime.

## Contribution

It extends Newtonian dynamics to include potential energy effects on spacetime, providing exact Mercury precession and insights into atomic probabilistic phenomena.

## Key findings

- Exact precession of Mercury explained without curved spacetime
- Hydrogen-like atom behavior modeled with new dynamics
- Potential energy's influence on spacetime incorporated into Newtonian framework

## Abstract

Planck's formula and General Relativity indicate that potential energy influences spacetime. Using Einstein's Equivalence Principle and an extension of his Chock Hypothesis, an explicit description of this influence is derived. We present a new relativity model by incorporating the influence of the potential energy on spacetime in Newton's dynamics for motion under a central force. This model extends the model used by Friedman and Steiner to obtain the exact precession of Mercury without curving spacetime. We also present a solution of this model for a hydrogen-like atom, which explains the reason for a probabilistic description.