<p>With the rapid development of metaverse technology, there is a growing demand for authentication and data transmission during the interaction between virtual digital people and intelligent medium devices. However, existing authentication schemes generally have problems such as poor security, low computational efficiency and insufficient adaptability. To solve the above problems, this paper proposes a fuzzy logic system and VDF adaptive iteration-based metaverse security authentication scheme. This scheme utilizes a fuzzy logic system to compute the trustworthiness of dynamic identity and introduces a verifiable delay termination based on RSA group construction (Loe-VDF) to achieve adaptive security authentication. During the computation and verification process, VDF iteration and fuzzy logic trustworthiness calculations demand extensive exponential operations and parallel modular exponentiation, which imposes very high demands on computational performance. Therefore, this scheme is inherently well suited to high-performance computing (HPC) platforms, significantly enhancing real-time performance and scalability through parallel and distributed computing frameworks. Furthermore, we choose the Coppersmith method and analytic combinatorics in the security analysis to demonstrate the religious security of the scheme. Finally, we perform our simulations in AVISPA software by using the online model checker (OFMC) and the constraint logic-based attack searcher (CL-AtSe). The experimental result shows that the scheme outperforms other methods in terms of attack resistance, communication cost and time cost while ensuring mutual authentication, anonymity, confidentiality and attack resistance. Supported by HPC, it satisfies the requirements for instantaneous interaction and dynamic authentication within metaverse scenarios.</p>