Theoretical basis for a solution to the cosmological constant problem

Following a short discussion of some unresolved issues in the standard model of cosmology (considered to be a generic LCDM model with flat geometry and an early period of inflation), an update on the current state of research regarding the problem of negative energy is provided. Arguments are then given to the effect that traditional assumptions concerning the behavior of negative-energy matter give rise to various inconsistencies, including a violation of the requirement of relational definition of physical attributes. An alternative set of axioms is proposed that would govern the behavior of negative-energy matter if it is to be considered a viable element of physical theories upon which cosmological models are build. A generalization of the core mathematical framework of general relativity theory is derived from the proposed axioms, which enables the formulation of quantitative predictions concerning the interaction of positive- and negative-energy objects. Based on those developments, solutions are proposed to the problem of the discrepancy between theoretical and experimental values of the average density of vacuum energy and to several other related issues in theoretical cosmology, including the problem of the nature of dark matter and dark energy and that of the origin of thermodynamic time asymmetry.