Discrete Scale-Invariant Solenoidal Spacetime as a Minimal Extension of Minkowski Geometry

Here I present a testable, discrete scale-invariant extension of Minkowski geometry. I show a theorem that demonstrates that standard relativistic quantum field theory -- augmented by just one additional axiom -- necessarily implies a specific model of spacetime that is a fundamentally different framework from Minkowski's. That consequent model is a set of axioms. So now, like Minkowski presented his framework over 100 years ago, today I present to you the SIG-4 Model. The SIG-4 framework makes precise, falsifiable predictions -- unlike untestable theories such as String or Multiverse. For example, because the SIG-4 model is a set of precise mathematical statements, we may derive logical implications from the model. It turns out, these implications are confirmed in past experiments whose results are already published. A Planck-2018 likelihood run with Cobaya+dynesty yields ln B_CMB = +5.8 ± 0.4 in favour of SIG-4, together with λ̂=0.509±0.007 and global phase φ̂=1.92±0.11 rad. Upcoming DESI Y5 and LIGO O5 data can refute SIG-4 at > 5σ if λ-coherence fails. With proper access to more data and equipment, we can subject the model to further verifications. If the model survives such falsifiability tests, then this model will offer a direct empirical route to measure spacetime's fundamental geometric properties. Moreover, if it survives further falsification tests, the model will provide a mathematically sound foundation for pursuing the one, unified framework dreamed by physicists.