Selection of admissible geometric constraint sectors

Determine physically admissible realizations of the covariant constraint sector that generates the effective vacuum source in pseudo-complex general relativity, given that the constrained variational framework does not uniquely determine its functional form.

Background

The paper explains that the effective vacuum stress tensor in pseudo-complex general relativity arises geometrically from a constrained variational formulation rather than from an independently introduced matter field. However, that formulation does not uniquely specify the functional form of the underlying constraint sector. The authors therefore identify the selection and organization of physically admissible realizations as an unresolved problem.

References

The constrained variational framework does not, however, uniquely determine the functional form of the constraint sector. The problem of selecting and organizing physically admissible realizations of this geometric sector consequently remains open.

— Constitutive Geometry of the Effective Vacuum Sector of Pseudo-Complex General Relativity  (2610.10836 - Weber et al., 7 Oct 2026) in Section 1, Introduction

Can the logarithmic transverse strain be obtained directly from the underlying pseudo-complex variational principle rather than from the effective vacuum sector?

— Constitutive Geometry of the Effective Vacuum Sector of Pseudo-Complex General Relativity  (2610.10836 - Weber et al., 7 Oct 2026) in Section 8, Discussion and Outlook