Galois Fully Homomorphic Encryption (FHE) is a cryptographic solution that enables computation and processing directly on encrypted data without requiring decryption. The technology addresses data protection challenges in cloud computing and interconnected systems where traditional encryption methods protect data at rest and in transit but require decryption during processing. The solution maintains data in encrypted form throughout the entire lifecycle - at rest, in transit, and during processing. This approach eliminates the vulnerability window that exists when data must be decrypted for computation. The technology provides mathematically provable security with a simple root of trust and complete security proof. FHE is designed to support regulatory compliance requirements for data protection and enables organizations to process sensitive data in cloud environments while maintaining encryption. The technology differs from Trusted Execution Environments (TEEs) by offering a complete security proof rather than relying on hardware-based trust models. The solution is positioned for organizations handling sensitive data in cloud computing environments, big data processing scenarios, and situations requiring strict regulatory compliance. It enables data utility and security to coexist by allowing computations on encrypted datasets without exposing the underlying information.