Editing Openai/6897769e-4ee4-800f-aba5-69cca34f701c (section)

===== #### =====

−(1−2GMrc2)c2dt2-\left(1 - \frac{2GM}{rc^2}\right)c^2dt^2−(1−rc22GM)c2dt2
GR meaning: Time slows down near a massive object.

QAT reinterpretation:
* This term describes how time is "stretched" or "dilated" near mass.
* In QAT, mass forms from photon absorption/emission on the spherical surface.
* The 2GMrc2\frac{2GM}{rc^2}rc22GM term shows how the curvature of spacetime scales with 1/r.
* In QAT, this could correspond to a delay in surface photon exchange, representing increased energy density (like redshift) near the mass.
* This may link to energy density on a shrinking surface area: as r→0r \to 0r→0, energy is more "concentrated", and the rate of ΔE = hf exchanges slows down from a distant observer's perspective.

✅ QAT interpretation:
Time dilation arises because photon-electron interactions (which define time) slow down when surface area per energy decreases (inverse-square scaling).
This creates a geometric clock tied to surface curvature.

====== (1−2GMrc2)−1dr2\left(1 - \frac{2GM}{rc^2}\right)^{-1} dr^2(1−rc22GM)−1dr2 ======
GR meaning: Distances stretch closer to mass.

QAT reinterpretation:
* This represents radial deviation in space due to mass-energy.
* In QAT, curvature isn’t just geometric—it’s caused by variations in surface energy density (how photon interactions scale with r).
* As the energy exchange becomes more concentrated, the “path” a photon would take on the surface becomes longer from the inside geometry—like tracing a curve from inside a sphere.

✅ QAT interpretation:
Radial curvature is the result of increased interaction density on the inward-facing spherical surface. The radius becomes geometrically "longer" relative to the flat case, matching the divergence in GR.

====== r2dΩ2r^2 d\Omega^2r2dΩ2 ======
GR meaning: Describes the geometry of a 2-sphere.

QAT reinterpretation:
* This directly maps to your 4πr² model: the spherical surface on which interactions take place.
* It's where the electron cloud geometry, uncertainty, and photon absorption probability are defined.
* This is the active surface of QAT—where wavefunction probability collapses and time is formed.

✅ QAT interpretation:
This is the literal surface of interaction in QAT. The spherical geometry is the physical location of energy exchange.