The metaverse has experienced rapid development in the last decades. The metaverse is vaguely defined, but typically includes a form of virtual reality, that is characterized by a persistent world even if one is not playing within the metaverse, and forms of augmented reality. This encompasses both the physical and digital worlds. Many companies have incorporated the metaverse in their business plan and strategies and provide metaverse experiences to their customers. Given the significant growth opportunities for the metaverse and revenue opportunities, several corporations have actively promoted the growth and profit opportunities the metaverse provides. This has also attracted Shariah-compliant investment funds to gain exposure to these corporations and invest in them. Optimizing the allocation of funds represents a critical element in maximizing returns from the funds. This paper presents a new Islamic meta-stimulation portfolio theory for Shariah-compliant equity optimization. The theory outlines how Islamic requirements for investments into metaverse companies may stimulate the performance of a portfolio containing these shares. The theory integrates a deep learning optimization framework for the stimulation of the performance of metaverse Shariah-compliant portfolios. The theory is outlined on a dataset of major NYSE and NASDAQ listed enterprises demonstrating the performance improvement experienced by Shariah-compliant metaverse corporations as compared to others.