In my last post I pointed out the observation that with SR the entire object in motion with velocity V has the same space-time reference. While in GR, an object, like a planet or star will exist in range of space-time references; space-time well.

Based on this difference we can simulate GR with SR if we accelerate the space-ship. This allows the space ship to move along the space-time well via incremental increases in velocity. Since velocity is d/t and acceleration is d/t/t, we added time to help us get closer to the impact of GR mass.

GR brings up an interesting consideration. Since GR can define a space-time well, that will set up a range of references, then the core of the earth or star exists in a different space-time reference than the surface. The core is like the twin in the twin paradox that is aging slower. The surface twin ages faster. In this example, GR sort of simulates two SR references; stationary and moving twin. How does the time difference between core and surface, impact the interaction of the core with the surface? GR is creating a potential in time that is not only perpetuated by the well but is expanding over time. Distance is contracted but does not compound like time. In the twin paradox, one twin is younger but he is not permanently thinner in space.

One way to answer this is to start with two identical factories that make widgets, side by side, but in two different space-time references. Both factories are making 1 defect per hour, and both using X energy per hour. The one moving slower in time, will appear to use less energy and generate less entropy on a normalized time scale. The 2nd law has less impact on the slower core reference in a normalized scale. Entropy will still increase but at a slower rare; normalized.

The result will be a dual potential appearing between surface and core connected to energy/entropy, due to the time difference. This is reflected, in part, in the pressure of the core generating heat; more energy, as well as limiting the degrees of freedom in the matter of the core for less entropy. One might also expect a flux of energy/entropy from core to surface, which in turn, would reflect the time potential difference. However, the well is also causing the references of the core and surface to linger, expanding the time gap.

One interesting observation is the core of the earth rotates faster than the surface. One way to explain this is connected to the release of energy and entropy in the core, due to the lingering time potential with the surface. The expanding universe shows a net flow in the direction of expanding reference.

Another way to look at this is the core is expressing the past, when the earth rotated faster.