Omnisyndetic baryon calculator
This tool is a demonstration of the geometry that can be used to create baryon physics as modes of distinction in a symmetry-group-theoretic derivation. Importantly, this theoretic construction does not require or include any intrinsic mass inputs, fitted constants, or base input parameters. The system is entirely derivational, meaning every numeric value is derived exclusively from the relation itself. Feel free to have a play around and get familiar with the tools and understand the claim as it is being made here. You can input any flavour combination and its ground state or spin 3/2 parity, hit calculate, and the system will return a band interval for where we predict and expect that combination to land within the geometry with a given mass interval. This can be used to make predictions about further future baryons currently not confirmed in the PDG. Feel free to experiment with the omega triple charm baryon by using either CCC, or you can use the step vector, the more native language of the framework, with a 444 combination.
☷Inputs
⬡Parsed flavour
▱Structural classification
↙Direct λ / κ input
⚛Triad geometry
= 0direct λ input shown; twin branch from same-mass closure
〰Mass outputs
current predictionsContrast hex
step vector (–, –, –)
Arc pyramid
[L, U] = [–, –]
〽Mass window
Band scan: λ ∈ [√2−1, 1], N = 1000. Coherence and curvature are set by the selected arc seat.
☉λ tuning
direct arc(k)=–
◎Diagnostic
∑Key formulae
▰Complete numeric ledger
This tool is used as part of the full transparency and audit such that any future baryons that may be discovered can be reverse-audited to test if the geometry and the symmetry-group construction continues to match and meet confirmed empirical measurements, but also it can be used to make predictions about currently unconfirmed PDG flavour combinations. The claim is that this purely geometric construction is able to recover baryon structure without needing intrinsic mass splittings or any higher installation packages. It is a derivation from a purely symmetry-group-theoretic system. For reference, if LaTeX works, the system is also able to print full step-by-step derivations of every piece with the LaTeX output. In order to compile this into a PDF, you will need your own LaTeX compiler, but this means that calculations can be mass-reproduced without defaulting to or introducing human errors, as well as allowing ease of use for every step to be checked along the way. But you are also more than welcome to hit inspect and inspect the source code. Primarily, this system works in JavaScript, though it may appear overcomplicated with the nice styling and visual user interface created alongside it. The code runs live within the browser. There are no further imports. There are no imports of masses or PDG. This is not simply a selection tool. This is a single derivation that is able to recover the entire system, and the specifics of that piece of the classification can be found by inputting the flavour combination. And if you want to use an external Lambda value for the radial span of the baryon, we recommend going onto the PDG website, seeing the current QCD simulated radii, seeing where that matches and how that also recovers the same structure, or where possible, using measured inputs, such as the muonic measured radius of the proton, around 0.84087 fm, the recent electronic hydrogen value around 0.8406 fm, or the electronic Lamb-shift value around 0.833 fm.