A Two-Body Model of Matter and Quasi-Antimatter in General Relativity

Why will antihydrogen in the ALPHA-g experiment fall just like hydrogen?Because a single atom is too small to feel its own curvature. But when qAn (quasi-antimatter) accumulates as much as all the matter in the Universe – things get interesting. This work is a record of a dialogue with a pot. Literally.Water, a thumbtack, a polystyrene bead, and some dust – this is the laboratory where a hypothesis was born: matter sinks into spacetime creating dimples (concave menisci D), while qAn floats creating hillocks (convex menisci H). Two dimples attract. Two hillocks also attract. But a dimple and a hillock – repel. I have translated this into the language of general relativity.I introduce a sign function σ = ±1 multiplying the energy-momentum tensor. For matter σ = +1, for qAn σ = -1. Masses are positive – no physics is broken. It's just a geometric label.I derive the equations of motion for two bodies. I show that in vacuum, M and qAn repel each other. This repulsion – on cosmic scales – may be the source of dark energy. The ALPHA-g experiment is crucial here:A single antihydrogen atom (σ = -1) in Earth's field (σ = +1) will fall with acceleration g. Its own convex meniscus is 10⁻⁵¹ times too weak to change that.But the Morpheus Sphere – a hypothetical layer of qAn surrounding the Universe – weighs enough to repel entire galaxies. Is this true?The model does not pretend to be a drone. It is a sonar. A signal. A map drawn from a pot of water and logical consistency. It points a direction. The rest is up to experiment and imagination. May the meniscus be with you.