The Solution to the Hierarchy Problem: Gravity as the "Echo" of Spacetime Memory (K-Kernel & AMDCf Framework)
Year: 2026
Type: preprint
Abstract: For decades, modern physics has struggled with the Hierarchy Problem: why is gravity approximately (10^{36}) times weaker than the electromagnetic, strong, and weak nuclear forces? Standard physics attempts to explain this through external fine-tuning or the unobservable Multiverse hypothesis. The AMDCf (Adaptive Memory-Driven Coupling Framework) offers a radical, deterministic alternative: Gravity is not a fundamental, instantaneous force; it is the macroscopic manifestation of the non-Markovian memory of spacetime. Based on our numerical simulations and modified Einstein Field Equations, we define the force of gravity as the gradient of the non-Markovian memory field: F_{grav} = -\mu_{mem} \nabla M(r). We demonstrate four fundamental properties of spacetime memory that solve the Hierarchy Problem without violating the Bianchi identities: 1. The Time-Delay Effect: Gravity is non-Markovian. The gravitational effect we feel today is merely the accumulated "echo" of mass-energy distributions from the distant past.2. The "Flat Plateau" of the Core: Inside massive bodies, the memory field reaches a saturation point (a flat plateau). Because force is the gradient of memory, a flat plateau results in an extremely weak local gradient, preventing classical singularities.3. The Exponential Damping of the Memory Tail: Outside the core, the memory field decays rapidly. What we measure as the "weak" gravitational pull is merely the faint, decaying tail of a vast historical memory.4. The Newtonian Limit: At large distances, the rippling memory tail averages out to perfectly recover Newton's inverse-square law (1/r^2), proving the Correspondence Principle. Gravity appears weak on local scales because it is not a direct push/pull, but the macro-scale statistical average of trillions of tiny, non-Markovian memory ripples propagating through the spacetime fabric. Gravity is weak because it is the memory of the past, not an impulse of the present. It requires cosmic scales of time and distance to accumulate enough memory density to dominate the universe.
Author: SAIM, MOHAMMED TAHAR
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225390791