分数全息暗能量虫洞：全面的几何、物理和热力学研究
Fractional Holographic Dark Energy Wormholes: A Comprehensive Geometrical, Physical, and Thermodynamic Investigation
AI总结：
研究基于分数宇宙学进展，以分数全息暗能量为引力场源，在爱因斯坦引力下获得新的虫洞解，通过多种分析方法探讨其几何、物理及热力学行为，研究分数全息修正对可穿越虫洞结构的影响。
AI中文摘要：
宇宙加速膨胀的发现引发了对暗能量本质的研究兴趣。全息暗能量因与量子引力和全息原理的关系脱颖而出，分数宇宙学的进展促使其定义加入分数修正项。本研究探讨分数全息暗能量在形成奇异时空（特别是可穿越虫洞）方面的行为。在爱因斯坦引力背景下，以分数全息暗能量为引力场源，考虑变化的红移函数，得到一类新的Morris - Thorne虫洞解。通过多种方式详细分析虫洞的性质、几何、可行性和热力学行为，研究分数全息修正对可穿越虫洞结构稳定性和演化的影响。
英文摘要：
The discovery of the accelerated expansion of the cosmos has sparked great interest in studying the nature of the mysterious force behind this effect, often called dark energy. Several theories were proposed to study the nature of dark energy, and holographic dark energy stands out among them due to the relation between dark energy density and the principles of quantum gravity and holography. Recent progress made in fractional cosmology has led to the addition of fractional correction terms to the definition of holographic dark energy. Based on such progress, in this study, we investigate the behavior of fractional holographic dark energy in forming exotic spacetimes, especially traversable wormholes, which represent intriguing solutions of Einstein's field equations connecting distinct regions of spacetime. In the present article, a new class of Morris--Thorne wormhole solutions is obtained under the consideration of fractional holographic dark energy as the source of the gravitational field with a varying redshift function in the context of Einstein gravity. To study the nature of wormholes, their geometry, viability, and thermodynamic behavior, a shape function is obtained, and the wormholes are analyzed in detail via embedding diagrams, throat geometry, active gravitational mass, compactness, exoticity factor, energy conditions, conservation law, volume integral quantifier, Kretschmann invariant, and complexity factor. Moreover, thermodynamic properties of the wormholes are studied via the examination of several parameters, including Hawking temperature, wormhole temperature, entropy, energy, work density, and heat flux, aiming to understand the influence of fractional holographic corrections on the stability and evolution of traversable wormhole structures.
