The Hwang Mijeoung Model: An Intuition-Driven Exposition and Numerical Exploration of the Riemann Hypothesis through a Conserved State-Transition Picture of the Zeta Zeros

This is not a proof of the Riemann Hypothesis. It is an exposition, written by a non-mathematician, that follows the zeros of the Riemann zeta function through everyday physical intuitions (water, ice and temperature; ground and gravity; doors; coins; atmosphere; soil and caves; tension), checked against the existing literature and tested numerically. The intuitions are formalised as the Hwang Mijeoung model: a system built on the heat flow of de Bruijn and Newman, augmented with mass conservation, mirror symmetry, a restoring term growing as the fourth power of the zero density, and a per-pair "tension distance". Numerical results include: (1) positive pockets of the Laguerre curvature number 0 for zeta and exactly 28 for the Davenport–Heilbronn function up to height 1000, matching its 28 off-line pairs; (2) the curvature margin is positive at all 1,162 wide gaps sampled between heights 10⁴ and 10⁵; (3) twisting only the phases of the primes 2 and 3 by 0.0008–0.0023 rad collapses the tightest pairs (Lehmer pairs) first, with a safety margin scaling roughly as the square of the normalised gap; (4) the tension distance Δ of about 40,000 zeros follows a 1/ρ² law within 2%. No result contradicts known theorems. The final question reached by the model is whether the de Bruijn–Newman constant Λ equals exactly 0, which is equivalent to the Riemann Hypothesis and remains open. Every claim is tagged [proven], [conjectural], [model], [metaphor] or [open]. Author: Hwang Mijeoung (independent researcher). Assistance: Claude (Anthropic) for discussion, computation, drafting and literature comparison; Gemini (Google) for verification queries and experiment suggestions.