On, A Louis-Debroglie Wave Cosmology

[Dubbelosix]

The only equation I am showing in this post today, is one derived from arguments concerning corrected versions of the Friedmann equation for the de Broglie wave length. For the full derivation of the equation, please follow the link below:
 

 

 

[math]\mathbf{k}T \approx \frac{d^2}{dt^2} \frac{\Delta E \Delta t}{p}  \geq \frac{d^2}{dt^2} \frac{\hbar}{p}[/math]

 

 

 

Where [math]T[/math] is the contracted stress energy tensor and [math]\mathbf{k}[/math] is the Einstein factor [math]\frac{8 \pi G}{3}[/math]. The equation seems to give a possible and curious link between the deBroglie wave length and the response of that wavelengths  curvature in spacetime. Physically, we would be talking about system which gives off little spacetime curvature, because the RHS is small imposed by [math]\hbar[/math] - it can also be envisioned specifically as a deBroglie wave length confined within a region of curvature. The same reasons, imposed in deBroglies theory that only small systems could exhibit wave duality and in fact, predicted the electron was small enough to test the theory, proven concurrently through a series of diffraction tests. 

 

However, maybe the spacetime curvature does not need to be weak at all, remember, the LHS imposed by the inequality is either greater or equal to the RHS. The amount of deviation of spacetime curvature is not only related to the non-commutating variables, but must be encoded in the amount of stress energy density in spacetime. 

 

 

 

 

ext. link

 

https://www.thenakedscientists.com/forum/index.php?topic=71184.msg520775#new

Edited August 16, 2017 by Dubbelosix