Einstein Equation vs Hamzah Equation: A Superiority Comparison.

All Articles are Available: Orcid ID: https://orcid.org/my-orcid?orcid=0009-0009-3175-8563 Science Open ID: https://www.scienceopen.com/user/2c98a8bc-b8bb-49b3-9c91-2f2986a7e16e Safe Creative register the work titled "The Theory of Intelligent Evolution, the Hamzah Equation, and the Quantum Civilisation". Safe Creative registration #2504151474836. .................................................................................................................................................................................................. Abstract: Einstein's Field Equations (EFE) in General Relativity relate the curvature of spacetime to the distribution of energy-momentum. These equations are at the heart of the gravitational geometry of our universe, describing phenomena such as black holes, gravitational waves, the expansion of the universe, and cosmic structures. However, the EFE have a fundamental limitation: time and the field are considered as external, non-perceptive, and without memory. The ψ–Hamzah model, by introducing the structure of ψ–time, fractional-fractal derivatives, a memory field, and the concept of self-awareness, overcomes these limitations. This model enables a rewriting of the EFE in a way where: Time is no longer an external parameter but is fractal, memory-bearing, and conscious. The gravitational field is not only geometry but also carries the memory of the awareness–matter field. Phenomena such as dark energy, dark matter, the Big Bang, and cosmic phase transitions can be reinterpreted through the ψ–Hamzah model. This paper presents this fundamental rewriting in ten stages, combining scientific and numerical analysis, philosophical insight, numerical comparisons, and computational code.