[Phys-L] Cosmological Constant and a "new" Symmetry

[Spinoza321 at AOL.COM (Robert B Zannelli)]

One of the most inaccurate calculation in the history of physics has to be
the predicted zero point vacuum energy in QFT.

The Hamiltonian and momentum equations are well know and are

H=SUM { all k} hbar*w_k*(a^dag*(k)*a(k)+1/2)

P=SUM { all k} hbar*k*( a^dag*(k)*a(k)+1/2)

Which gives

   rho_vac= A*INTEGRAL { 0 to k_c} w*k^2dk = approx K*M_plk^4=  1E115 GEV/cm^3


This isn't really a problem for QFT because this energy density can
"neutralized" by normal ordering but QFT doesn't include gravity of course and  when
the effects on gravity is considered the prediction is an impossibly large
cosmological constant. Often SUSY is proposed as a solution since Fermions and
Boson virtual states make opposite sign contributions to vacuum energy, but
SUSY, even it exists as a symmetry of nature ,  is too badly broken to mend
this fence. Now several papers are looking at solutions of the relativistic
equations ( K_G, Dirac and Proca) that have been generally ignored.  These are the
"real" negative energy solutions. ( not Dirac's anti  particle) This has the
benefit of providing a scale independent symmetry which  cancels the zero
point vacuum energy density. Of course negative energy  particles are pathological
in QFT but each of the papers linked below deal with  this issue in different
ways. In my opinion this is an intriging idea and if  correct may have very
interesting cosmological conquences, one of which is to  provide a particle
physics basis for the CPT image prediction of the  Hawking Hartle no boundary
theory as well Sakharov's early ideas on  this same topic.

Bob Zannelli


_http://xxx.lanl.gov/PS_cache/astro-ph/pdf/0309/0309679.pdf_
(http://xxx.lanl.gov/PS_cache/astro-ph/pdf/0309/0309679.pdf)



_http://xxx.lanl.gov/PS_cache/hep-th/pdf/0507/0507020.pdf_
(http://xxx.lanl.gov/PS_cache/hep-th/pdf/0507/0507020.pdf)



_http://xxx.lanl.gov/PS_cache/hep-th/pdf/0505/0505265.pdf_
(http://xxx.lanl.gov/PS_cache/hep-th/pdf/0505/0505265.pdf)