An Extended Dynamical Equation of Motion, Phase Dependency and Inertial Backreaction

TL;DR

This paper proposes a modified Newton's second law incorporating space's resistance to sudden momentum changes, suggesting a fluidic nature of space and linking backreaction effects to quantum phase shifts and vacuum polarization.

Contribution

It introduces an extended dynamical equation of motion that accounts for phase-dependent inertial backreaction, highlighting space's fluidic properties and their implications for fundamental physics.

Findings

Space resists momentum surges according to an induction law.

Backreaction effects are mass-dependent and resemble quantum phase shifts.

Evidence of vacuum polarization linked to local space geometry.

Abstract

Newton's second law has limited scope of application when transient phenomena are present. We consider a modification of Newton's second law in order to take into account a sudden change (surge) of angular momentum or linear momentum. We hypothesize that space itself resists such surges according to a kind of induction law (related to inertia); additionally, we provide further evidence of the "fluidic" nature of space itself. This "back-reaction" is quantified by the tendency of angular momentum flux threading across a surface. This quantity is mass-dependent, and bears similarity to the quantum mechanics phase shift, present in the Aharonov-Bohm and Aharonov-Casher effects. Furthermore, this provides evidence of vacuum polarization, a phenomena which is relative to local space indicating that local geometry and topology should be taken into account in any fundamental physical theory.