Handle decomposition of a wormhole through Heegaard Splitting from 3 + 1 Space-Time Dimensions
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This paper demonstrates how Heegaard splitting can mathematically decompose a wormhole from a 3-dimensional universe, linking topology to the Einstein-Rosen Bridge.
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Abstract
For the spacetime of 3+1 dimensions, if this can be assumed as the wormhole coordinate to be Σ where the universe for the purpose of mathematical construction satisfies the Euler-Poincare characteristics of X ≡ = 2 − 2g = 1 then there can be Σ_1 as the wormhole of g ≡ 1 in spatial dim 3 and Σ_2 as the spatial universe then: Σ_1 , Σ_2 ∈ Σ-This is easy to show that for the 3-manifolds as our mathematical universe, we can apply Heegaard splitting to split the wormhole from the mathematical universe. Comments-This shows the linkage of topology with the Einstein-Rosen Bridge in a mathematical universe.
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- europepmc
- last seen: 2026-05-19T01:45:01.086888+00:00