The purpose of this writing is to provide a response to the RationalWiki articles on the expanding and hollow Earth models by combining these two models in one expanding-hollow Earth model or EHEM. As a preliminary note anything below is not supposed to be taken seriously but as mean to make fun of pseudo-science. Please enjoy the subsequent discussion.
The expanding earth model was originally introduced to explained continental drift by postulating the idea that the size of our planet is increasing and hence the continents are moving away from each other. There are two main versions of this model, one that assumes that the earth’s mass has been constant and the other argues that the mass of the earth has been increasing as well.
The idea of an expanding earth with a constant mass has two significant issues. It implies that the surface gravity on our planet been much higher in the past, up to levels way to high to support life. Further this model implies that the density of our planet had been much higher in the past, to such extent that our planet should be more like a neutron of even quark star.
Consequently it seems that we should rule out an expanding earth with constant mass and hence if the earth has been expanding, its mass should be increasing too. But the problem is then where does this mass came from? I would argue that this problem could be easily solved if we combine the idea of an expanding earth with that of a hollow earth.
The idea of a hollow earth seems to be outlandish and unlike the expanding earth model, it lacks “a sound” motivation. Nevertheless, we’ll see in a moment why this concept could make sense.
The main argument against a hollow earth is the lack of an explanation why the planet is not collapsing, in particular if the earth’s interior is filled by vacuum.
However, if the earth’s interior is a vacuum, we could expect, on grounds of quantum mechanics, a kind of Casimir effect and hence some vacuum energy. Vacuum energy is an accepted scientific concept, but scientists do disagree about the amount of energy vacuum contains. In good pseudoscientific fashion, we will agree with the higher estimates.
Now this vacuum energy might exert an outward pressure which would prevent the earth from collapsing under the weight of its own crust. Additionally this vacuum energy also adds to the earth’s mass through the energy-mass equivalence (Einstein’s E = Mc², which we could write as M = E/c²). Assuming that the amount of vacuum energy increase as the Earth expands, its mass should increase too.
Let’s assume that the earth’s average surface gravity has been constant (i.e. g ~ 9.8 m/s²). Using Newton’s law of gravity we can obtain “the expansion equation”. Newton’s laws of gravity:
F = GMm/r²
Which gives us:
g = GM/r²
M = E/c²
E = gc²r²/G
With g, c and G being constant.
This equation does not only looks nice, but it importantly imposes a restriction on the amount of vacuum energy is generated through the expansion of our beloved planet.
This post is made possible by the abuse of Newtonian, relativistic and quantum mechanics. And I thank Isaac Newton, Albert Einstein and Hendrik Casimir for their contributions.