Mn/mp=5/α/⌊5/α⌋核子-电子质量比与精细结构常数的异常数学关系:完整交叉验3.1

1

核心简化公式
(中子-质子质量比)

mnmp=5/α⌊5/α⌋=W⌊W⌋\frac{m_n}{m_p} = \frac{\sqrt{5}/\alpha}{\lfloor\sqrt{5}/\alpha\rfloor} = \frac{W}{\lfloor W \rfloor}mpmn=⌊5/α⌋5/α=⌊W⌋W
其中 W=5⋅α−1W = \sqrt{5}\cdot\alpha^{-1}W=5⋅α−1

1.00137845382

1.00137841907

3.47×10−83.47\times 10^{-8}3.47×10−8

2

质子-电子质量比
(零参数)

μp=6⌊W⌋=1836\mu_p = 6\lfloor W \rfloor = 1836μp=6⌊W⌋=1836

1836

1836.15267343

8.31×10−58.31\times 10^{-5}8.31×10−5

3

中子-电子质量比
(零参数)

μn=6W=1838.530841...\mu_n = 6W = 1838.530841...μn=6W=1838.530841...

1838.530841

1838.68366

8.31×10−58.31\times 10^{-5}8.31×10−5

4

中子-电子质量比
(含修正参数Δ)

μn=6W(1+Δ)\mu_n = 6W(1+\Delta)μn=6W(1+Δ)
Δ=8.314854×10−5\Delta = 8.314854\times 10^{-5}Δ=8.314854×10−5

1838.6836979

1838.68366

2.06×10−82.06\times 10^{-8}2.06×10−8

5

反推精细结构常数
(修正路径)

αrecon−1=μnexp65(1+Δ)\alpha^{-1}_{\text{recon}} = \frac{\mu_n^{\text{exp}}}{6\sqrt{5}(1+\Delta)}αrecon−1=65(1+Δ)μnexp

137.035994206

137.035999084

3.56×10−83.56\times 10^{-8}3.56×10−8

6

统一标度参数 M∗M_*M∗
(双路径一致性)

M∗=meμp⌊W⌋=mnW\mathcal{M}_* = \frac{m_e\mu_p}{\lfloor W \rfloor} = \frac{m_n}{W}M∗=⌊W⌋meμp=Wmn

3.06694375 MeV
(质子/中子路径差值)

3.06694375 MeV
(平均)

2.02×10−82.02\times 10^{-8}2.02×10−8
(路径间差异)

7

核子质量差
(零参数)

Δμ=6⋅frac(W)=2.530841...\Delta\mu = 6\cdot\text{frac}(W) = 2.530841...Δμ=6⋅frac(W)=2.530841...

2.530841

2.53098657

5.75×10−55.75\times 10^{-5}5.75×10−5