The Domino Effect: A Dimensional-Uncertainty Framework for Black Hole Information and Radiation Echoes

The Domino Effect: A Dimensional-Uncertainty Framework for Black Hole Information and Radiation Echoes introduces a novel approach to resolving the black hole information paradox by extending quantum uncertainty into the domain of dimensionality. In this framework, spacetime emerges from a pre-geometric substrate termed the flicker-realm, composed of zero-dimensional proto-particles that exist in a globally entangled state across multiple dimensional sectors. Observable universes arise as stable, higher-order configurations of this substrate. Black holes are reinterpreted as higher-dimensional “throats” that connect our three-dimensional spacetime to this deeper network, enabling nonlocal redistribution of information rather than its loss. A central innovation of the paper is the dimensional uncertainty principle, defined via a canonical commutation relation between a dimension operator and its conjugate phase. This introduces a new fundamental constant, κ, governing fluctuations between dimensional sectors. Within this model, information falling into a black hole is preserved through global entanglement and can partially re-emerge via higher-dimensional pathways. The framework yields a key, testable prediction: the existence of structured radiation echoes—weak, quasi-periodic deviations from purely thermal Hawking radiation. These echoes are expected to appear in both gravitational-wave ringdowns and electromagnetic emissions, with a characteristic timescale set by the Schwarzschild radius and an amplitude controlled by the ratio κ/ℏ. The paper develops an effective Hamiltonian describing coupling between three-dimensional fields and higher-dimensional modes, derives quantitative expressions for echo timescales and amplitudes, and outlines observational tests. Existing gravitational-wave data (GWTC-4.0) already place constraints on the model, while future observatories such as the Einstein Telescope and LISA are expected to significantly improve sensitivity. This work establishes a falsifiable, phenomenological bridge between quantum mechanics, gravity, and higher-dimensional physics, and forms the first part of a four-paper series exploring cosmological, spectral, and causal implications of the Domino Effect framework.