Extended Theories of Gravity

<p>For over a century, we've faced a profound divide in physics: quantum mechanics and general relativity stubbornly refuse to speak the same language, while galaxies spin with a defiant disregard for our gravitational expectations. In this paper, I introduce Systemic Relativity & Logarithmic Gravity – a framework that rethinks how gravity operates by introducing logarithmic corrections that naturally vary with scale. This approach offers an alternative to dark matter while seamlessly recovering the Newtonian behavior we observe in everyday life.</p> <p>The key insight lies in what I call the system-dependent parameter λ – defined as the ratio between a system's…