Curvature, Torsion & Hyperspace
Also, I do not understand formally his equation
Riemann Curvature = Affine Curvature - (Torsion + Nonmetricity)Curvature
Curvature = 4D Flat Curl of Connection + (Connection)^2
Riemann Curvature = 4D Flat Curl of (LC) + (LC)^2
EEP says that in LIF
Riemann Curvature = 4D Flat Curl of (LC)
since (LC) = 0 in LIF ALWAYS
Affine Curvature = 4D Flat Curl of Affine Connection + (Affine Connection)^2
= 4D Flat Curl of (LC) Connection + 4D Flat Curl of Torsion Connection +4D Flat Curl of Nonmetricity Connection
+ [(LC) + (Torsion) + (Nonmetricity)]^2
EEP simply tells us that in LIF, (LC) = 0
But in an LNIF clearly there are cross terms and, therefore, the curvature tensor is not a simple sum of its parts. There are interference cross-terms in the LNIF. No way to escape that assuming local gauge principle to get Shipov torsion & Hyperspace non-metricity as DYNAMICAL connection fields. There are also the conformal boosts and dilations waiting to be locally gauged for even MORE dynamical connection fields!
EEP demands (LC) = 0 in an LIF, since in his model
(LC) = (Affine) - (Torsion + Nonmetricity)
(Affine) = (Torsion + Nonmetricity) in the LIF.