*Hideki Maeda presented a simple traversable wormhole solution which violate energy conditions only at the planck scale*

Wormhole is a configuration of spacetimes containing distinct non-timelike infinities. In particular, a wormhole that contains a casual curve connecting such infinities are referred to as a traversable wormhole. Several examples of traversable wormholes have been already discussed by us in our articles. Now, Hideki Maeda presented a simple static spacetime which describes a spherically symmetric traversable worm-hole characterized by a length parameter, *l* and reduces to Minkowski in the limit l → 0. His findings recently appeared in *Arxiv*.

He showed that, this wormhole connects two distinct asymptotically flat regions with vanishing ADM mass and the areal radius of its throat is exactly *l*. Additionally, all the standard energy conditions i.e. null-energy condition, weak energy condition, dominant energy condition and standard energy condition are violated outside the proper radial distance approximately 1.60 *l* from the wormhole throat.

Finally, he computed the total amount of negative energy required to support this wormhole and found that, if *l* is identified as the Planck length *l*p (≃ 1.616 × 10¯^{35} m), the total amount of the negative energy supporting this wormhole is only E ≃ −2.65 mpc², which is the rest mass energy of about – 5.77 × 10¯^{5} g. For a “humanly traversable” wormhole with *l* = 1m, he obtained mass of −3.57 × 10^{27} kg, which is about –1.88 times as large as Jupiter’s mass.

“Ofcourse, an important task is to identify a theory of gravity which admits the static spacetime as a solution. Once such theory is identified, a subsequent task is to study the stability. Since the region of the NEC violation is tiny, our wormhole could be a dynamically stable configuration in the semiclassical regime. These important tasks are left for future investigations.”

— he concluded.

**Reference**: Hideki Maeda, “A simple traversable wormhole violating energy conditions only at the Planck scale”, Arxiv, pp. 1-4, 2021. *arXiv:2107.07052*

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