Merging Quantum Mechanics With General Relativity

[Vmedvil2]

Let's Start with Einstein's Field Equation General Form.

 

Now in order to merge this with Quantum Mechanics via space coordinates we must solve the equation for Radius® which is 

 

-2(8πGT_uv/C⁴  - Λg_uv + R_uv)/g_uv  = R 

 

Now R can be switched for (X,Y,Z) as  R² = ∇² = d²/dx² + d²/dy² + d²/dz²

 

Thus -2(8πGT_uv/C⁴  - Λg_uv + R_uv)/g_{uv  =} ∇_{Einstein Field Equation}

 

Next is the Schrodinger equation which can be solved for the Laplace operator coordinates as well.

 

Which can be solved for ∇ as

 

-(2m(iħ(dΨ/dt) - VΨ)/Ψħ)^1/2 = ∇_{Quantum Mechanics} 

 

Then a merging equation which fuses GR with QM can be made that is

 

 

∇²_{Quantum Mechanics}  - ∇²_{Einstein Field Equation}  = dS²(x,y,z)

 

OR

-(2m(iħ(dΨ/dt) - VΨ)/Ψħ) + (2(8πGT_uv/C⁴  - Λg_uv + R_uv)/g_uv)²  = dS²(x,y,z)

 

This Yields a Theory of Quantum Gravity directly from Schrodinger's Equation and the Einstein Field Equations.

Edited October 10, 2019 by VictorMedvil

[OverUnityDeviceUAP]

Let's Start with Einstein's Field Equation General Form.

 

Now in order to merge this with Quantum Mechanics via space coordinates we must solve the equation for Radius® which is

 

-2(8πGT_uv/C⁴ - Λg_uv + R_uv)/g_uv = R

 

Now R can be switched for (X,Y,Z) as R² = ∇² = d²/dx² + d²/dy² + d²/dz²

 

Thus -2(8πGT_uv/C⁴ - Λg_uv + R_uv)/g_{uv =} ∇_{Einstein Field Equation}

 

Next is the Schrodinger equation which can be solved for the Laplace operator coordinates as well.

 

Which can be solved for ∇ as

 

-(2m(iħ(dφ/dt) - Vφ)/φħ)^1/2 = ∇_{Quantum Mechanics}

 

Then a merging equation which fuses GR with QM can be made that is

 

 

∇²_{Quantum Mechanics} - ∇²_{Einstein Field Equation} = dS²(x,y,z)

 

OR

-(2m(iħ(dφ/dt) - Vφ)/φħ) + (2(8πGT_uv/C⁴ - Λg_uv + R_uv)/g_uv)² = dS²(x,y,z)

 

This Yields a Theory of Quantum Gravity directly from Schrodinger's equation and the Einstein Field Equations.

I'm pretty sure it doesn't work that way. First of all because QM and GR are more than a Schrodinger equation and one of Einstein's field equations, secondly they aren't compatible in most all situations in which they can be applied so it's not a matter of of putting them both into one equation. Edited October 10, 2019 by OverUnityDeviceUAP

[Vmedvil2]

I'm pretty sure it doesn't work that way. First of all because QM and GR are more than a Schrodinger equation and one of Einstein's field equations, secondly they aren't compatible in most all situations in which they can be applied so it's not a matter of of putting them both into one equation.

 

They seem mathematically compatible in this example here, what do you mean not compatible?

[OverUnityDeviceUAP]

They seem mathematically compatible in this example here, what do you mean not compatible?

How would you apply it?

 

How would you apply it to a quantum chemistry problem.

 

How would it be used any differently than the Schrodinger equation for mapping atomic orbitals?

Edited October 10, 2019 by OverUnityDeviceUAP

[Vmedvil2]

How would you apply it?

 

How would you apply it to a quantum chemistry problem.

 

How would it be used any differently than the Schrodinger equation for mapping atomic orbitals?

 

It just includes the gravity of the orbital is the only difference with the GR Terms being the (1/(2(8πGT_uv/C⁴  - Λg_uv + R_uv)/g_uv n(n-1)))² 

Edited October 10, 2019 by VictorMedvil

[Vmedvil2]

Someone Pointed out this needs a correction, I messed up as R is scalar curvature which the Scalar Curvature of 4-D  Minkowski space is given by R = −n(n − 1)/r²

n = 4 as the space is 4 dimensional for Hyperbolic space or Minkowski space.

(1/(2(8πGT_uv/C⁴  - Λg_uv + R_uv)/g_uv n(n-1)))² = r = ∇_{Einstein Field Equation}

 

so, 

 

∇²_{Quantum Mechanics}  - ∇²_{Einstein Field Equation}  = dS²(x,y,z)

 

OR

 

-(2m(iħ(dΨ/dt) - VΨ)/Ψħ) - (1/(2(8πGT_uv/C⁴  - Λg_uv + R_uv)/g_uv n(n-1)))⁴  = dS²(x,y,z)

 

Which furthermore, you cannot divide by g_uv thus I will take the inverse matrix g_uv^-1 which  g_uv = g_uv^-1  

 

 

Thus Corrected versions 

 

(1/(2(8πGT_uv/C⁴  - Λg_uv + R_uv)g_uv^-1/n(n-1)))² = r = ∇_{Einstein Field Equation}

 

and

 

-(2m(iħ(dΨ/dt) - VΨ)/Ψħ) - (1/(2(8πGT_uv/C⁴  - Λg_uv + R_uv)g_uv^-1 / n(n-1)))⁴  = dS²(x,y,z)

Edited October 10, 2019 by VictorMedvil