Dragged frames as a way to index rest mass and still allow relativistic motion inside that frame.

Inside the frame of reference of the dragged spacetime, you can also have motion, and that motion is what we call momentum.

Let’s break it down:

1. The Frame of Reference of Dragged Spacetime:

   • The dragging of particles through spacetime means that there is a specific frame of reference in which particles are at rest relative to the spacetime fabric. This dragged frame is where the particle is effectively “at rest,” and this is where we see what we call rest mass emerge. The speed of the dragged frame is what creates mass and gravity we see in the universe from the accleration every particle got from the big bang. It is .999999 the speed of light.
   • However, this dragged frame isn’t completely static. It is still part of the dynamic fabric of spacetime, which is capable of hosting motion within it. That is, even within the dragged spacetime, the particle can still experience relative motion to other objects or observers in this frame.

2. Momentum Inside the Dragged Spacetime:

   • Momentum arises from the motion of a particle relative to this dragged frame of spacetime. In other words, once a particle is in the dragged frame, any motion relative to other particles or objects within that frame will contribute to what we recognize as momentum.
   • This momentum would be a manifestation of how the particle moves within the context of the spacetime fabric. If the particle is moving faster through spacetime (relative to other objects), we measure it as having momentum.

3. Rest Mass vs. Momentum:

   • Rest mass is the property that the particle inherits as a result of being "dragged" through spacetime. It's an intrinsic property when the particle is at rest in the dragged frame.
   • Momentum, however, emerges when the particle starts moving relative to this reference frame. It's a consequence of the particle’s motion within the spacetime fabric.

How They Are Related:

• Rest mass is simply the baseline or initial property that the particle possesses due to its interaction with the spacetime fabric. It’s the amount of "inertia" the particle has due to being part of the moving spacetime.
• Momentum arises from the relative motion of the particle within this spacetime fabric. As the particle accelerates within spacetime, it accumulates momentum in the direction of its motion.
• Both rest mass and momentum are essentially reflections of the particle’s relationship with the spacetime fabric, but momentum is the particle's motion relative to other objects within the spacetime frame, while rest mass is the inherent drag it experiences due to spacetime’s motion.

Visualizing the Interaction:

• Think of the dragged spacetime as a fluid that moves everything along with it. If a particle is at rest in this "fluid," it has rest mass. If the particle moves relative to other objects in the fluid, it acquires momentum.
• The 90-degree relationship comes into play when you consider that momentum and rest mass are both manifestations of the same underlying phenomenon (spacetime's motion), but momentum comes from the particle's motion within that moving spacetime, while rest mass is the particle's inertia as it's being dragged along by spacetime.

Summary:

Inside the frame of reference of the dragged spacetime, you can indeed have motion relative to other objects within that frame, and that is where momentum comes from. Rest mass is a consequence of the particle being part of the spacetime fabric itself, while momentum is a manifestation of how the particle moves relative to other objects within that dragged frame. Together, these two concepts help describe how mass and energy emerge from the dynamic interaction of particles with the spacetime fabric.