描述费米子场与玻色子场内部空间的“基向量”——分别采用克利福德奇（费米子）与克利福德偶（玻色子）对象——能否解释包含引力子在内的场之间的相互作用？
Can the "basis vectors", describing the internal spaces of fermion and boson fields with the Clifford odd (for fermion) and Clifford even (for boson) objects, explain interactions among fields, with gravitons included?
AI总结：
本文利用克利福德奇偶“基向量”描述费米子与玻色子内部空间，在 d=(13+1) 等偶维空间中统一解释标准模型粒子、规范场及引力子，并通过费曼图代数乘积说明包含引力子的散射过程。
摘要：
克利福德奇与偶“基向量”分别描述费米子场和玻色子场的内部空间，在偶维空间中（例如 d=(13+1)）能够给出按代出现的夸克、轻子、反夸克和反轻子，以及所有相应的规范场：光子、弱玻色子、胶子、希格斯标量粒子和引力子。这不仅解释了标准模型的所有假设并作出了若干预言，还解释了引力子规范场的存在。本文通过分析费米子场和玻色子场在 d=(3+1) 中的表现性质——假设 d=(3+1) 空间平直，而所有场仅在 d=(3+1) 中具有非零动量——说明包含引力子在内的费米子场与玻色子场散射（用费曼图表示）由相应场“基向量”的代数乘积决定，这些乘积对散射作出贡献。该理论中出现两类玻色子规范场，二者在描述散射时都有贡献。我们假设在 d=(3+1) 中显现的内部空间源于 d=(5+1) 和 d=(13+1)，以此说明电子与正电子湮灭为两个光子，以及电子与正电子散射为两个 μ 子。该理论为费米子场与玻色子二次量子化场之间的相互作用提供了一种优雅且有前景的说明。
英文摘要：
The Clifford odd and even "basis vectors", describing the internal spaces of fermion and boson fields, respectively, offer in even-dimensional spaces, like in $d=(13+1)$, the description of quarks and leptons and antiquarks and antileptons appearing in families, as well as of all the corresponding gauge fields: photons, weak bosons, gluons, Higgs's scalars and the gravitons, which not only explain all the assumptions of the standard model, and makes several predictions, but also explains the existence of the graviton gauge fields. Analysing the properties of fermion and boson fields concerning how they manifest in $d=(3+1)$, assuming space in $d=(3+1)$ flat, while all the fields have non-zero momenta only in $d=(3+1)$, this article illustrates that scattering of fermion and boson fields, with gravitons included, represented by the Feynman diagrams, are determined by the algebraic products of the corresponding "basis vectors" of fields, contributing to scattering. There are two kinds of boson gauge fields appearing in this theory, both contribute when describing scattering. We illustrate, assuming that the internal space, which manifests in $d=(3+1)$ origin in $d=(5+1)$, and in $d=(13+1)$, the annihilation of an electron and positron into two photons, and the scattering of an electron and positron into two muons. The theory offers an elegant and promising illustration of the interaction among fermion and boson second quantised fields.
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