A Unified Vibrational Information Framework: Statistical Bias, Scale Invariance, and the Emergence of Physical Law

This research paper develops an advanced theoretical synthesis unifying Vibrational Information Field Theory (VIFT) with Spacetime Vortex Gravity (SVG), the Cosmogenesis Hypothesis (including the Anas Limit), and the Hidden Collapse Hypothesis. The framework addresses the emergence of physical law and global statistical regularities, such as Benford's Law and scale-invariant distributions, from a foundational information-theoretic perspective. Key Theoretical Developments:1. Scale-Invariant Information Fields: Arguing that reality is governed by a constrained vibrational information field where apparent randomness emerges from local decoherence, while global order reflects structural flow.2. The Principle of Constraint Realism: Introducing a non-deterministic yet non-random interpretation of physical law, where the universe pre-structures probabilities through vibrational boundary conditions rather than pre-writing events.3. Statistical Bias and Physical Reality: Proposing that logarithmic statistical biases (Benford’s Law) are physical manifestations of a scale-biased information field, reconciling quantum indeterminacy with large-scale order.4. Multiversal Hierarchy: Extending the framework to describe multiple spacetime domains coexisting within a shared information field, where inter-universal coupling explains recurring structural similarities.5. Predictions: Outlining specific observational signatures, including scale-biased statistics in cosmological data, rotational informational signatures in gravity, and the link between cosmological constants and the stability of vibrational modes. This work serves as a foundational step toward a mathematically rigorous theory of informational physics, bridging the gap between statistical mechanics, quantum theory, and cosmology.