Linking quantum mechanics and general relativity with derived Λ and G (booklet)
v. 7 n. 18
This is a composite of recent articles on quantum mechanics and general relativity.
General relativity is conventionally phrased
G_uv + Λg_uv = 8πGT_uv,
where the cosmological term, Λ, is a measured astronomical value, and with the G_uv term reflects the shape of space on the left side of the equation. If Lambda is a variable, though, as suggested by the DESI dark energy survey, it is properly on the right side of the equation as an active driver of the acceleration of the universe,
G_uv = 8πGT_uv - Λg_uv.
As a dependent parameter, it was described as
Λ(t, ρ) = c^-2 ( 3H^2 + 3 a2 /a + 8πG(t, ρ)ρ ), [1] - [5]
linking general relativity and quantum mechanics with a recursive form. [6]
Similarly, the gravitational constant was considered a dependent parameter,
G(t, ρ) = (3H^2 + 3 a2 /a) / 8πρ,
nevertheless, it remained stable throughout the cosmic eras with a slight oscillation. [7] - [10]
The adapted field equations read,
G_uv = 8πG(t, ρ) T_uv - Λ(t, ρ)g_uv.
[3] (4) An emergent quantum mechanics from a recursive general relativity, Part 2: Test 1 | LinkedIn