Emergent Physical Laws from Hierarchical Information Propagation

Hierarchical Information Propagation Model (HIPM) Part III-B Emergence of Causality, Entropy, and Gravity from Hierarchical Information Flow

抄録

This paper presents Part III-B of the Hierarchical Information Propagation Model (HIPM), focusing on the emergence of fundamental physical phenomena from a minimal three-layer, four-variable information framework.
Without introducing spacetime geometry, field equations, or microscopic dynamics, we demonstrate that causal structure, entropy production, effective light speed, and gravitational interaction arise naturally as structural consequences of hierarchical information propagation.
HIPM assumes three hierarchical layers—quantum (Hq), folding (Hf), and material (Hm)—and four fundamental variables: an intra-layer state variable $\psi$, an inter-layer propagation variable $A$, a layer-normalization variable $t_2$, and a hierarchical index $H$.
All observable quantities are treated as derived rather than fundamental.
We show that the unidirectional propagation of information from upper to lower layers induces irreversibility and defines a natural arrow of time.
Finite propagation across layers leads to an emergent causal speed, which appears as an effective light velocity at the material layer.
Entropy production is reinterpreted as irreversible information loss due to hierarchical projection rather than as a primary thermodynamic postulate.
Furthermore, we demonstrate that gravitational interaction emerges from information degeneracy across layers.
Multiple upper-layer configurations projecting onto identical lower-layer states generate effective attractive behavior, with an inverse-square law arising from information flux conservation.
Curvature-like effects are shown to be emergent descriptions of information loss, not fundamental geometric entities.
By comparing HIPM with existing physical theories, we clarify that many phenomena traditionally attributed to spacetime dynamics can be recovered from a purely informational hierarchy.
In particular, we show that causal structure, entropy production, and gravitational interaction share a common origin in irreversible hierarchical information propagation.
These results establish HIPM as a unifying framework capable of reproducing key features of gravity, causality, and thermodynamics from first principles.