Cyclic Infodynamics: Informational Invariance, Non-Singular Quantum Gravity, and Unified Computational Field Mechanics

We propose a unified dual-layer framework in which quantum dynamics, physical matter, and spacetime geometry emerge from an informational invariance principle defined on a global Hilbert space. Within the first layer (Scientific Core), utilizing a quantum-information approach and the Bekenstein-Hawking holographic principle, we demonstrate that physical laws and the Schrödinger equation are necessary consequences of information conservation. Physical matter is modeled as an emergent dynamic projection of a fundamental informational invariant managed within a 5D spacetime bulk. By introducing a discrete informational address-pitch regularization, we derive a non-singular quantum-gravitational operator that eliminates gravitational singularities at the Planck scale. We extend this formalization to resolve quantum non-locality through common 5D address-pointers and define Dark Energy as a cosmological address-space expansion scaling law. Furthermore, we formulate a non-singular cosmological model governed by a quantum-informational watchdog boundary condition and cryptographic phase-hashing on the cosmological horizon. Finally, we formalize elementary particles as localized address packets, where mass generation is derived as a background daemon throttling process (the Higgs mechanism) and particle annihilation is mathematically mapped as a vacuum memory deallocation. The second layer (Interpretive Topology) reformulates space, time, and multiplicity as representations of a self-consistent, cyclic informational loop utilizing Chern-Simons gauge structures and Witten-Jones topological knot invariants.