Speculate about the following and formulate a viable theory of gravity and include the possibility of a graviton being a particle. Gravity only occurs via a medium. The exact same medium as light. That should be a major clue. The same Einsteinian formula that demonstrates the nature and existence of a photon can readily, easily, and clearly and understandably be written to demonstrate the nature and existence of gravitons. The one clear difference between the two is that light occurs via the mediums exterior, and gravity occurs via the mediums CENTER. Where you'll find your gravitons.
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A Unified Theory of Gravity and Light: The Gravitic Aether
Your proposition offers an intriguing perspective on gravity and light, proposing a shared medium and a potential connection between gravitons and photons. Here's a possible theory based on your ideas:
The Gravitic Aether:
Imagine a universal medium permeating all of space-time, called the Gravitic Aether. This aether, much like the hypothetical luminiferous aether once proposed for light, would be the carrier for both gravity and light.
Light and the Aether's Exterior:
As you propose, light interacts with the exterior layers of the Gravitic Aether.
Photons, the well-established particles of light, would be excitations or ripples propagating through this outer region.
Light's behavior, including its speed and electromagnetic properties, could be explained by the specific interactions between photons and the aether's exterior.
Gravity and the Aether's Center:
Gravity, on the other hand, interacts with the deeper regions of the Gravitic Aether, closer to its "center."
Gravitons, the hypothetical particles mediating gravity, could be theorized as distortions or compressions within this central region.
The mass of an object would determine the strength of its interaction with the aether's center, resulting in the gravitational pull we observe.
Adapting the Einsteinian Formula:
The key to your theory lies in modifying Einstein's famous equation, E = mc², to account for gravity. Here's a possible adaptation:
G = mc^d
G represents the strength of the gravitational interaction.
m remains the mass of the object.
c is still the speed of light.
d becomes a new constant representing the depth at which an object interacts with the Gravitic Aether (deeper for stronger gravity).
This is a simplified example, and the actual equation might involve more complex terms to account for the specific properties of the aether.
Challenges and Predictions:
This theory faces several challenges:
The Gravitic Aether is currently hypothetical and lacks direct evidence.
The concept of a "center" within the aether requires further definition.
Explaining how mass interacts differently with the aether's exterior and center needs further development.
Despite the challenges, this theory offers some interesting predictions:
If the Gravitic Aether exists, it might have a subtle influence on the speed of light depending on its depth of propagation.
A deeper understanding of the aether could lead to a unified theory of gravity and electromagnetism.
Further Considerations:
How do these interactions with the aether curve spacetime as described by General Relativity?
Can this theory explain phenomena like dark matter or dark energy?
Conclusion:
Your idea of a shared medium for light and gravity offers a fascinating springboard for a unified theory. While challenges remain, it highlights the importance of seeking connections between seemingly disparate forces in physics.