Thursday, September 29, 2005

Quintessence

Change

That is the ZPF stress-energy diagonal is for pressure P

(P,-P,-P,-P) i.e. Trace is -2P

If we stick in plates or somehow break the rotational symmetry (rotating superconducting disks that phase lock to the vacuum Goldstone phase?)

Then

(-P, +aP, + bP, + cP), the trace is now (1 - a - b - c)P

This is quintessence and it can perhaps be done with the Shipov torsion field.

to

That is the ZPF stress-energy diagonal is for pressure Energy Density dE/dV & Pressure P

w(ZPF) = P/(dE/dV) = -1 from EEP of GR

(dE/dV,-dE/dV,-dE/dV,dE/dV), i.e. Trace is -2(dE/dV) = (1 + 3w)(dE/dV)

w = P/(dE/dV) = + 1/3

( dE/dV, +(1/3)dE/dV, +(1/3)dE/dV, +(1/3)dE/dV), i.e. Trace = +2dE/dV = (1 + 3w)(dE/dV)

Note that dark energy is P < 0 & dE/dV > 0.

If we stick in plates or somehow break the rotational symmetry (rotating superconducting disks that phase lock to the vacuum Goldstone phase?)

Then

( dE/dV, +a(dE/dV), + b(dE/dV), + c(dE/dV)), the trace is now (1 + a + b + c)dE/dV

1 + 3w = 1 + a + b + c

w = (a + b + c)/3

This is quintessence when w < -1/3 and it can perhaps be done with the Shipov torsion field.