  The existence of a quantum field theory over the "field with one element" was
first addressed in 2012 by Bejleri and Marcolli, where it was shown that
wonderful compactifications of the graph configuration spaces that appear in
the calculation of Feynman integrals, as well as the moduli spaces of curves,
admit an $\mathbb F_1$ structure. Recently, we also examined some advantages of
studying finite fields $\mathbb F_q$, wherein $\mathbb F_1$ represents the
fundamental string with the Planck length, playing a fundamental role in the
model. Such a role was briefly described by comparing the similarity between
the collapse of the spacetime concept probing the scales below the Planck
length and the mathematical collapse of the 'field' concept at $q=1$. In this
letter, we elaborate more on this role by explaining how Kapranov and Smirnov's
perspective based on the Iwasawa theory is a perfect mathematical fit for
string theory. Particularly, their work suggests that the existence of $\mathbb
F_1$ alone is sufficient to create other fields $\mathbb F_q$ emergent as its
extensions, reflecting the postulate of string theory, where various
vibrational modes of the fundamental string manifest as other fields. As
support, a couple of evidence are provided that illustrate the physical
importance of the Weyl group (known to be a reductive group over $\mathbb F_1$)
and explain why the calculation of the amplitudes in the
"amplitudes=combinatorial geometry" program (initiated by Arkani-Hamed et al.
in 2013) exhibits a combinatorial nature and simplifies the exponentially
growing ($\mathcal{O}(4^n)$) calculations of the Feynman diagrams to a
polynomially growing order ($\mathcal{O}(n^2)$) in the kinematic space of
scattering data for the scalar theory with cubic interactions.
