I Theoretical Possibility of "Opposite" Gravitational Mass?

AI Thread Summary
The discussion explores the theoretical concept of two types of gravitational mass, Д - mass and Ξ - mass, suggesting that unlike masses could repel each other, akin to electric charges. The idea posits that while Д - mass is the familiar mass of matter, Ξ - mass would behave oppositely, potentially causing objects made of it to "fall up." The author questions whether this concept is compatible with General Relativity and if it violates the equivalence principle, which states that all masses fall at the same rate. However, responses indicate that the existence of negative gravitational mass is deemed impossible within the framework of General Relativity, as all masses must follow the same geodesics. The thread concludes with a note that previous discussions have also dismissed this possibility.
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This is an unusual idea that I have been entertaining for some time, and I can't find anything about it online.
However, it is so simple that someone must have conceived it before.

First, I will elaborate my idea, then I will ask if it possible within the framework of General Relativity.

There are two types of electric charge, positive and negative. Like charges repel, unlike charges attract.

Could there be two types of gravitational mass? Let's call them Д - mass and Ξ - mass.
They could a follow a similar but opposite rule to electric charges: like masses attract, and unlike masses repel.

We assume that both Д and Ξ masses have the same inertial masses.

Д - mass is the type of mass that we're all made out of, our bodies, our planets, our solar system. Ξ - mass would be the"opposite" type of mass.

Like masses attract, so we see that every bit of Д - mass gravitationally attracts every other bit of Д - mass. Using Newton's laws, we can obtain Galileo's Law of Falling Bodies, which is the basis of Einstein's equivalence principle.

Inertial masses remain the same. Falling objects on a planet made out of Ξ - mass would be kinematically indistinguishable from one made out of Д - mass.Let's say one day a meteorite crashes onto Earth. It is a relatively ordinary meteorite, except that embedded within it are chunks of very pure Ξ - mass. When such a chunk is pried out, it falls up! It would fall towards the sky and keep going.

If we measure the acceleration of the up-falling chunks, we would see that it is also 9.81 ms-2.

If we combine two equal Д and Ξ masses, we can produce a gravitationally "neutral" mass, one that can float weightlessly. However, it will still have inertial mass.We have not observed any neutral or Ξ masses. This is similar to the issue of baryon asymmetry. Due to like masses attracting and unlike masses repelling, this could result in increasing separation between the two types, and any Ξ masses in our universe might be really, really, really far away.My final question is whether the existence of this "opposite" Ξ - mass is possible within the framework of General Relativity. Does the resulting repulsion and "falling up" violate the equivalence principle?
 
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This thread is closed. There are many previous threads here in which the possibility of negative gravitational mass is discussed.
 
The short summary: no, this is impossible in general relativity. Everything follows the same geodesics there, everything has to fall down to Earth for example.

Edit: Ah, Nugatory closed the thread already.
 
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