标题： 虫洞解在变形时空中的研究 显示英文标题

标题： Wormhole Solutions in deformed space-time

摘要： 我们构建并分析了量子时空中的虫洞解。 场方程是从适当参考系中的变形虫洞度规通过四维标架构造的。 虫洞的空间几何在κ时空中进行了分析。 此外，研究了确保虫洞可穿越条件的修改，并发现非对易情况下虫洞的奇异物质必要性仍然存在，如同对易时空一样。 卡西米尔能量被视为奇异物质的可能来源，并且表明由于时空的非对易性，通过虫洞的时间以及创建虫洞所需的奇异物质量都会减少。 显示英文摘要

摘要： We construct and analyse wormhole solutions in quantised space-time. The field equations are constructed from the deformed wormhole metric in the proper reference frame using tetrads. The spatial geometry of the wormhole is analysed in the kappa space-time. Further, the modifications to the conditions that ensure traversibility of the wormhole are studied and it is found that the necessity of the exotic matter persists in the non-commuative case as in the commutative space-time. Casimir energy is considered a possible source for exotic matter and it is shown that the time to pass through the wormhole as well as the amount of exotic matter required to create the wormhole reduce due to non-commutativity of space-time.