Supporting vehicular emergency applications requires fast access to infrastructure so vehicles can call for help. Because of their environment's poor wireless qualities, vehicle infrastructure communication paths lack security. Modern authentication systems used to close security vulnerabilities require a lot of computing and storage power from the vehicle's OBU. Thus, anovel5G automobile network emergency situationsbased onChebyshev polynomial using fog computing and authentication is proposed.This is the first study to useChebyshev chaotic mapping algorithmthatuses a chaotic map, rotation, and XOR to generate a one-way hash and eliminate modular multiplication index or scalar multiplication on the elliptic curve. The proposed scheme hasfivestages: installation system, initialization, enrollment, mutual authentication, and emergency request. Critical to emergency services, the suggested protocol works better in resource-limited settings like car systems. Theformalsecurity analysis reveals that the suggested approach guarantees message authenticity and integrity, non-repudiation, traceability, unlinkability, identity privacy, certificate independence, and emergency response.The evaluation showed thatthe proposed method cannot execute forgery, impersonation, or replay attacks.Theproposed method has lower computational, communication, and storage overhead than earlier efforts.