Total Universal Energy as Spatial Volume: A Hypothesis via Katayama Equivalence

This paper proposes that the total mass-energy of the universe (mc²) and the total spatial volume of the universe (4/3πr³) are connected via the Katayama Equivalence (≡ₖ) as different descriptions of the same universe. Not a claim of mathematical equivalence, but a declaration of ontological co-origin: energy content and spatial volume are different manifestations of the same cosmos. Connects to Friedmann equations, Schwarzschild radius, and Einstein's field equations as windows on the same universe.

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