Threshold Emergence of Physical Laws

This paper introduces a radical rethinking of physical reality as an infinitely layered, scale-relative structure in which discreteness and continuity are not fundamental properties, but emergent features dependent on energy scale and field dominance. By replacing the idea of a single continuous substrate with a recursive hierarchy of discrete–continuous transitions, the framework unifies quantum mechanics, field theory, and gravitational physics under a single principle: physical laws emerge when local energy density matches the characteristic scale of a field. The work proposes a normalized energy parameter governing field activation, introduces field-specific discretization functions, and formulates a scale-dependent Lagrangian that dynamically selects the dominant physical regime. It further advances a novel interpretation of black-hole interiors, resolving the information paradox through hierarchical encoding across layers rather than information loss. A key innovation is the concept of field-specific horizons, generalizing the event horizon into a universal mechanism that explains quantization as topological stabilization across observational scales. The framework also establishes a new research program—sub-substrate physics—where unexplained vacuum properties such as Planck’s constant, nonlocality, and CPT symmetry are treated as residual signatures of deeper, undiscovered fields. By linking geometry, topology, and energy-scale dynamics, this model offers a unified lens for understanding emergence, information flow, and the structure of physical law across all scales—from pre-quantum regimes to post-Planck domains.