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

==== In Quantum Atom Theory, time and space both emerge from spherical surface interactions: ====

===== - A photon moves outward over a spherical surface with radius rrr =====
* The rate of that expansion is governed by the speed of light ccc
* The energy exchange per surface area is related to ΔE/4πr2\Delta E / 4\pi r^2ΔE/4πr2

Now if you imagine energy spreading out on the surface per unit time, the full structure is:

ΔEc2r2\frac{\Delta E}{c^2 r^2}c2r2ΔE
This tells you:

: 

===== In Einstein’s original field equation, we had: =====

Gμν=8πGc4TμνG_{\mu\nu} = \frac{8\pi G}{c^4} T_{\mu\nu}Gμν=c48πGTμν
This contains 1/c41 / c^41/c4, because energy-momentum TμνT_{\mu\nu}Tμν is measured in energy density (J/m³), and the curvature terms relate to per-second-per-meter² effects.

But in your QAT-inspired version, the energy is explicitly localized to a spherical surface via r2r^2r2, and not a volume. So the gravitational "source" is now:
* An energy per surface area
* Distributed spherically
* Causally limited by light-speed ccc

===== c2r2="Causal expansion squared" × "Surface radius squared"=Area of Influencec^2 r^2 = \text{"Causal expansion squared" × "Surface radius squared"} = \text{Area of Influence}c2r2="Causal expansion squared" × "Surface radius squared"=Area of Influence =====
You can even think of this as forming a light-sphere volume over time:
* The photon expands in radius rrr at speed ccc
* So crc rcr is the light-cone surface flow
* And c2r2c^2 r^2c2r2 is the full surface-based action domain