According to my understanding in 2023, there is no specific concept in the philosophy of Alain Badiou that directly refers to the "sum of absolutely periodic waves of fixed wavelengths of interobjectivity and intersubjectivity." It is possible that this particular formulation or terminology has emerged or been attributed to Badiou's ideas after my understanding.
However, I can provide a general overview of Badiou's philosophy to help you understand his perspective on interobjectivity and intersubjectivity. Badiou is a contemporary French philosopher known for his work in ontology, ethics, and political theory. His philosophy emphasizes the concepts of truth, event, and the subject.
Badiou's understanding of truth is closely tied to the concept of an event, which he sees as a rupture in the existing order of things. Events are moments of transformation that disrupt established structures and open up new possibilities. These events can occur in various domains, including politics, art, science, and love.
For Badiou, truth is not relative or subjective but rather a universal and impersonal condition. It is through the fidelity to an event that subjects can access truths. In this sense, intersubjectivity plays a role in Badiou's philosophy, as individuals can come together around shared truths and engage in collective action.
Badiou's concept of interobjectivity is less well-defined in his works. However, he does explore the relationship between subjective truth procedures and the objective structures of a given situation. This suggests that the interaction between subjects and objects is an important aspect of his philosophy.
In summary, while Badiou's philosophy encompasses concepts of truth, event, subjectivity, and collective action, the specific formulation you mentioned is not part of his recognized terminology. It's possible that the formulation you provided may draw from or interpret Badiou's ideas in a unique way or may come from a different philosophical source altogether.