Rethinking Gravity: A Novel Approach to Deriving the Gravitational Constant

For years, I’ve been fascinated by the challenge of understanding Newton’s gravitational constant (G) – a value that physicists have long treated as an empirical constant measured experimentally but not truly understood at its core. Today, I want to share a groundbreaking approach that challenges this conventional wisdom, offering a radical reinterpretation of gravity itself.

The Mysterious Gravitational Constant

Traditionally, G has been a number we simply measure: approximately 6.674 × 10^-11 m³/kg/s². It appears in equations describing gravitational interactions, but its deeper origin has remained elusive. My research offers a fascinating alternative perspective.

A New Framework: Differential Expansion

I propose the Differential Expansion Framework, which reimagines gravity not as a fundamental force, but as an emergent phenomenon arising from the interaction between space and matter. The key insights are provocative:

• Space naturally expands isotropically at the speed of light
• The Hubble constant defines the timescale of this expansion
• Baryonic mass-energy locally suppresses this expansion

Deriving G from Cosmic Parameters

The most striking contribution is a novel equation that derives G using only observable cosmic parameters:

G = (4π/3) · (c³/H0) · (1 / (Etotal · Runiverse))

Where:

• c is the speed of light
• H0 is the Hubble constant
• Etotal is the total baryonic mass in the observable universe
• Runiverse is the radius of the observable universe

Remarkably, this approach yields a value of G that differs from the measured value by just 1.3% – a remarkable feat of theoretical exploration.

Implications and Cautions

While exciting, this approach also acknowledges a critical challenge: many of the cosmic parameters used in the calculation are themselves derived using models that incorporate G. This potential circular dependency calls for careful interpretation.

Why This Matters

This approach represents more than just a mathematical curiosity. It suggests that gravity might be a secondary phenomenon arising from the dynamic interaction between space and matter. If validated, it could:

• Provide new insights into cosmological observations
• Potentially offer alternatives to dark matter concepts
• Reframe our understanding of fundamental constants

Looking Forward

This work is an invitation to reimagine our most basic assumptions about the universe. While not a definitive proof, it opens fascinating new avenues for theoretical exploration.

As always in science, extraordinary claims require extraordinary evidence. This approach is a tantalizing first step towards understanding gravity not as a force, but as an emergent property of cosmic expansion.