SymSearch Dependency Map of Standard Model Constants — All 16 constants show simple symbolic connections at depth=3
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Systematic symbolic search for dependencies among 16 dimensionless constants of the Standard Model, using SymSearch v1.1.0. For each constant, it was excluded from the grammar and SymSearch searched if the remaining constants could reproduce it symbolically. Key finding: all 16 constants tested show simple symbolic matches (S <= 6.0) at depth=3, N=1,000,000, seed=42. Notable results:- mb_me ≈ mp_me / Vus (S=3.60, diff=0.003%)- alphas ≈ phi - 3/2 (S=3.94)- md_me ≈ 19/2 (S=2.10)- Vub ≈ (pi * sqrt5) / mn_me (S=5.90) This is exploratory. Statistical significance not yet established.Results may reflect the density of the search space at depth=3. Tool: https://github.com/judicaelbrindel/symsearchDOI tool: 10.5281/zenodo.18798254
基于SymSearch v1.1.0，开展标准模型（Standard Model）16个无量纲常数间依赖关系的系统性符号搜索。针对每一个常数，将其从语法规则中移除，随后由SymSearch验证：剩余常数是否可通过符号方式复现该常数。核心发现：在搜索深度为3、采样数N=1000000、随机种子为42的配置下，所有16个被测常数均实现了简单符号匹配（匹配得分S ≤ 6.0）。显著结果：- $m_b/m_e$ ≈ $m_p/m_e$ / $V_{us}$（匹配得分S=3.60，相对偏差0.003%）- $α_s$ ≈ $φ$ - 3/2（S=3.94）- $m_d/m_e$ ≈ 19/2（S=2.10）- $V_{ub}$ ≈ (π·√5) / $m_n/m_e$（S=5.90）本研究属于探索性工作，尚未确立统计显著性，所得结果或反映搜索深度为3时的搜索空间密度。工具地址：https://github.com/judicaelbrindel/symsearchDOI 编号：10.5281/zenodo.18798254
