Unfortunately, I have not just now the time to start reading of the articles. My own proposal for the twistorialization of TGD is based on zero energy ontology in which fundamental particles are massless fermions so that twistor approach should work. All particles, including also string like objects in CP2 scale defined by wormhole contacts, would emerge from these fermions assignable to the opposite light-like throats of wormhole contacts connecting two space-time sheets with Minkowskian signature. This picture leads to a generalization of the Yangian symmetry associated N=4 SUSY: the conformal group of Minkowski space is replaced with super-conformal algebras since point like particles with partonic 2-surfaces.
Since also virtual particles are pairs of massless fermions (with possible different signs of energy) very strong constraints on virtual momenta emerge guaranteeing UV finiteness. A resolution of also the infrared divergences plaguing the amplitudes of even N=4 SUSY comes from the zero energy ontology predicting in its strongest form that spin 1 gauge bosons are massive- even gluons and photon have small mass serving as IR cutoff: same applies to graviton. All components of Higgs (in TGD sense) should be eaten by gauge bosons and that also gluons have Higgs partners suffering the same fate. This has also a generalization to super-partners of gauge bosons and Higgs. Only the pseudo-scalar partner of Higgs analogous to second Higgs in MSSM would survive the massacre. LHC will show.
The formulation leads to the identification of space-time surfaces as 6-D sphere bundles identified as certain holomorphic surfaces in CP3× CP3 as a dual to the description as 4-surfaces in M4×CP2. The rapid scan of the first paper of Nima and collaborators demonstrated that they have found that the simplest amplitudes could be interpreted in terms of surfaces in CP3× CP3. This might of course be a complete accident and need not hold true generally.
Lubos also tells that CDF sees 3.4 sigma top quark pair asymmetry in proton-antiproton collisions. The asymmetry would be roughly five times larger than predicted by QCD. The asymmetry requires that the quark-antiquark pair annihilating to top quark pair can do so by coupling not only to gluons and to a new boson which has axial or partially axial coupling so that interference term would produce the asymmetry.
What comes first to mind in TGD framework is exotic Z0 boson but this does not work because the interference term vanishes in this case since gluonic and Z0 terms transform as color octet and singlet respectively. Axial vector color octet was suggested by the experimenters. I do not however see any deep reason for why one could not consider also pseudo-scalar octet. TGD indeed predicts that all gauge bosons should be accompanied by scalars and pseudo-scalars with same quantum numbers: also gluons. Scalars should be eaten to give the third polarization to gauge bosons. Could the coupling to a pseudo-scalar variant of color octet Higgs give rise to a contribution interfering with the contribution of spin zero virtual gluons and in this manner give rise to the asymmetry? Maybe there is simple objection but I am not able to invent it now. More complex option would be color octet excitation of Z0.