Jiaqing Yan
Thank you for your careful reply. I apologize for having previously simplified your model as a form of Newtonian gravitational superposition.
Let me confirm that I understand your theory correctly. In your framework, after photons lock together to form matter, coupled interactions among those photons generate attraction, which appears macroscopically as gravity. In that sense, your theory offers an underlying interaction mechanism for the curvature of spacetime associated with mass in general relativity. Is this an accurate reading?
I approach the same problem from a different starting point. Rather than beginning with matter itself, I begin with the information process:
difference → retention → circulation
and define attraction as the minimal motion by which a difference is reduced toward an intersection point.
Let I₀ be the integrated intersection point and I_t the current intersection point. Their relational difference distance is defined as:
r_t = norm(I_t - I₀)
If the pressure of difference reduction spreads isotropically through three-dimensional space, the pressure per unit area decreases with the square of the distance. I therefore write the minimal form of attraction as:
a_A(r_t) = κ / r_t²
where κ is the regression-field strength that drives difference reduction.
Because a difference contains not only distance but also internal structure, such as retained history, local deviation, directional drive, and phase residuals, I extend the equation to:
a_A(r_t) = κ · Φ(Δ_t) / r_t²
Here, Φ(Δ_t) represents the internal structure of the difference, including retention, bias, residuals, and local variation.
When:
Φ(Δ_t) = 1
the internal structure of the difference is fixed, giving the classical limit. Only after applying the physical mapping:
r_t = r
κ = GM
does the Newtonian gravitational form emerge.
The progression in my framework is therefore:
internal difference
→ difference reduction
→ attraction
→ physical mapping to gravity
I have extended this framework to Mercury’s perihelion precession and galaxy rotation curves, and have reached phase-structure predictions for the Hubble tension.
Could the part of your theory that opens the internal mechanism of attraction through coupled photon interactions and connects it to gravity, and the part of mine that defines attraction through internal difference reduction and develops it into gravity, be describing the same kind of underlying structure from different starting points?