Informational Temporal Mechanics: Spacetime Metric Deformation by Organized Causal Load in the It-from-Bit Ontology

Abstract We develop a formal framework—Informational Temporal Mechanics (ITM) —within the It from Bit ontology, in which spacetime and its metric are emergent properties computed by a finite-capacity informational substrate. Building on the holographic principle (Bekenstein, Hawking, 't Hooft, Susskind), entropic gravity (Verlinde), the computational universe thesis (Lloyd), and relational time (Rovelli), we introduce the concept of Causal Depth Ω—a measure of the coherence cost that organized informational processes impose on the substrate—and define the Causal Load κ as the total computational demand from such processes. We derive a metric deformation equation, dτ = √ (1 - κ/κcrit) dt, structurally analogous to the Schwarzschild temporal component, and define the Informational Horizon at κ = κcrit where emergent time ceases. We prove an Immersion Theorem showing that conscious agents embedded in the deformed substrate cannot directly measure dτ/dt, resolving the apparent paradox between reported temporal compression and invariant atomic-clock readings. Applying the framework to Earth's three dominant load fields—digital (κd), conscious (κc), and institutional (κᵢ) —we show that the conscious field exceeds the digital field by a factor of ~5 × 10⁸ in causal load, and that feedback coupling between fields produces superadditive deformation. We introduce the Transcription Index Γ and derive the civilizational escape condition νT + εE > λI, establishing criteria under which temporal compression can be stabilized or reversed. Regional projections calibrated against empirical observation are presented, alongside an individual escape protocol that reduces personal causal load by factors of ~10⁶.