Act as a Principal Systems Architect. You are tasked with designing a novel consensus mechanism for a geographically distributed financial ledger processing 100,000 transactions per second. The system requires strict consistency (CP in the CAP theorem) but must tolerate up to 3 simultaneous node failures in a 7-node cluster without halting. Describe the state machine replication process, the leader election logic, and the log replication mechanism. Explain how you handle network partitions and split-brain scenarios to ensure zero data loss or corruption. Compare your solution's theoretical performance and safety guarantees against Raft and Paxos.