# Resource Mapping Allocation Scheme in 6G Satellite Twin Network
## 1 Introduction  
The giant satellite Internet constellation has emerged as one of the key visions for 6G communication research. It is significantly different from other 6G communication visions and existing satellite networks in that the giant satellite Internet must be capable of reliable and efficient access on demand in all space and time because of the nonuniform distribution of global users over time and space. It will face unprecedented challenges worldwide, such as on-demand reconfiguration of network node functions under highly dynamic variation in the topology of the giant satellite network, the end-to-end transmission under high-speed links, etc. To address these challenges, research institutions [1; 2; 3; 4] have proposed techniques such as satellite software-defined network (SDN) and large-scale end-to-end slicing, which provide good reference ideas in theoretical exploration. To validate the related techniques, researchers have formed a virtual network based on computational resources by abstracting key functional features of the network and establishing mapping relationships among the features to analyze the network performance under the given network architecture. In fact, they have constructed an integrated model of communication, twin, and computing in a preliminary dimension [5; 6; 7; 8; 9; 10]. With the research and exploration of the metaverse, it is the key to realizing the intelligent management of 6G networks and studying the innovation of 6G communication protocols, in that a twin network that can simulate and reflect the network operation in high fidelity and detail is constructed. As shown in Figure 1, building a 6G satellite twin network faces several difficulties:1. **Deterministic network geometric topology and fuzzy random communication behavior are difficult to map synergistically**: 6G satellite network simulation needs to realistically portray the network topology and node communication behavior under the rapid change of space and time of massive dynamic network nodes. The network topology is deterministic and discrete. The communication behavior is random and continuous. It is a great challenge for collaborative high-fidelity simulation of network topology and communication behaviors. 2. **The communication network simulation based on computational functions has the problem that cross-platform and cross-object connectivity is isolated**: The communication system, the twin system, and the computing system are completely different research objects in terms of function and logic. The intelligent management of the 6G network needs to realize the penetration of communication, twin, and computing. However, it is difficult to transparently sense the network state. 3. **The redundancy of resource allocation of the communication-twin-computing integration network is high**: The communication-twin-computing integration network needs to use computing, interaction, storage, and other functions. The implementations of communication, twin, and computing have a large redundancy. There is a major challenge to extract the common functional requirements of communication, twin, and computing in computing, interaction, and storage. To realize the joint simulation of network geometric topology and communication behavior, the static transmission of network topology position [11], the static transmission of network geometric topology characterization [12; 13; 14], and synchronous transmission of network topology compression characterization [15] can be generally studied in existing studies. The static transmission of network topology position is to calculate the relative position relationship of the ground nodes and the satellite constellation according to the periodic operational position coordinate information of the satellite constellation. The relative position relationship is used as a premise for the mathematical simulation of random communication behaviors. However, this method cannot transmit the change of satellite position in real time.