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Four Forces Series · Paper II

一代费米子的完整地图

The Complete Map of One Fermion Generation

夸克和轻子是同一个对象的两种读法

Quarks and leptons are two ways of reading the same object

DOI 10.5281/zenodo.19360101
DOI 10.5281/zenodo.19360101
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超荷是经验输入还是推导结果

标准模型的费米子超荷值——每个夸克和轻子的U(1)量子数——在标准模型中是经验输入,从实验中量出来填进去的。它们满足一些约束(消去规范异常),但没有第一性原理的推导。

四力篇II从DD结构出发推导一代费米子的完整超荷表。核心识别:一代16个Weyl态(含右手中微子)完全对应4DD边界结构的16个分辨像。

夸克是native读,轻子是remote读

在DD结构里,一个4DD block有两种读取方式:native readout(直接读,读出者在block内部,能分辨三个空间轴方向)和remote readout(隔离读,读出者在block外部,无法分辨颜色,只能看到颜色singlet)。

native readout → 色三态,即夸克(携带颜色,r/g/b)

remote readout → 颜色singlet,即轻子(不携带颜色,e/μ/τ和中微子)

夸克和轻子不是两种根本不同的粒子类型,而是对同一个对象(trans-dual family object)的两种边界分辨模式。这自然解释了为什么夸克的分数电荷(1/3, 2/3)和轻子的整数电荷精确互补:它们是同一套超荷计数从不同角度读出的结果。

结果:无连续自由参数

超荷基本量子1/6来自:一个3DD内有6个4DD面元,等权定理给出每个面元的primitive超荷为1/6。

从这个基本量子出发,加上两条结构性先验(native/remote读取规则),一代费米子的全部超荷值——u(2/3), d(-1/3), e(-1), ν(0), 以及它们的反粒子——无连续自由参数地精确复现。

可证伪预言:右手中微子(ν_R)存在且超荷为零,与see-saw机制一致。如果实验发现右手中微子带有非零超荷,篇II的推导被证伪。

Is Hypercharge Empirical Input or a Derived Result?

The fermion hypercharge values in the Standard Model — the U(1) quantum numbers of each quark and lepton — are empirical inputs, measured from experiment and inserted. They satisfy certain constraints (gauge anomaly cancellation), but have no first-principles derivation.

Four Forces Paper II derives the complete hypercharge table for one fermion generation from DD structure. The core identification: the 16 Weyl states of one generation (including right-handed neutrino) correspond completely to the 16 resolution modes of the 4DD boundary structure.

Quarks Are Native Reads; Leptons Are Remote Reads

In the DD structure, a 4DD block can be read in two ways: native readout (direct read — the reader is inside the block, can distinguish three spatial axis directions) and remote readout (isolated read — the reader is outside the block, cannot distinguish color, can only see the color singlet).

Native readout → three-color state, i.e., quarks (carrying color: r/g/b)

Remote readout → color singlet, i.e., leptons (no color: e/μ/τ and neutrinos)

Quarks and leptons are not two fundamentally different particle types, but two boundary resolution modes of the same object (the trans-dual family object). This naturally explains why quarks' fractional charges (1/3, 2/3) and leptons' integer charges precisely complement each other: they are the same hypercharge count read from different angles.

Result: Zero Continuous Free Parameters

The fundamental hypercharge quantum 1/6 comes from: one 3DD contains 6 four-dimensional face elements (4DD faces); an equal-weight theorem gives each face element a primitive hypercharge of 1/6.

Starting from this fundamental quantum, plus two structural priors (the native/remote readout rules), all hypercharge values for one fermion generation — u(2/3), d(-1/3), e(-1), ν(0), and their antiparticles — are reproduced exactly, with zero continuous free parameters.

Falsifiable prediction: the right-handed neutrino (ν_R) exists with hypercharge exactly zero, consistent with the see-saw mechanism. If experiment finds a right-handed neutrino with nonzero hypercharge, Paper II's derivation is falsified.