We propose a novel formalism for physical quantifiability based on a rank-4 tensor time matrix that abstracts informational observables in different domains of reality. We show that our formalism can reveal two types of time representations: arithmetic and algebraic and provide analytical explanations for their properties and relations. We also demonstrate how our formalism can account for various physical phenomena, such as spin, rotation, revolution, and angular gauge momentum, and provide correlative proofs from quantum, mesoscopic, and astrophysical domains. Our formalism contributes to the ongoing quest for a unified theory of physics and has implications for the future of science and technology.