Geometric Baryon Calculator v2.0

Non-essentialist starting point

But in short, we do not assume identity is primitively available, favouring a non-essentialist ontology. This means any quantitative exploration cannot use any primitive values, that is, any value who cannot be derived from the relation alone. Effectively it can be understood as an attempt to see if a logical ontology be something more than qualitative, and move quantitatively to possibly open new paths of derivation to recover the sequences and organisation we see in fundamental physics.

Recovered organisation

Under that austerity, this mathematical relation was discovered when considering fundamental units capable of resolving identity. We find a spectrum that can be classified using the roots of unity into mass structures. The recovered organisation accurately encodes the PDG data across 56 PDG-confirmed baryons, including the ground states of all flavour combinations and their PDG (J^P) spin-parity counterparts.

Formal derivation

There is a formal derivation of all this, beginning in first-order logic in Volume II. But here, it is interesting that, from such an austerity, something assumed to require tuneable coefficients, sector parameterisation, and, importantly, intrinsic mass inputs to recover that organisation can in fact be described and accurately recovered from a purely relational geometric construction.

Rigidity

The geometry used here looks fancy, and a lot of effort was put in to give it that visual kick. But there is nothing more here than known geometric and Pythagorean relationships. It is a fully rigid derivation, meaning that, because the system is fully relational and every value is derived, changing any value breaks the whole system. It is a brittle, fine derivation, and yet somehow the recovery is real, and held openly here for anyone who may be inspired, or interested in alternative approaches to the physics organisation of spectroscopy.

Welcome

So thank you for being here. You are more than welcome.

Please scan the through the whole scale, scale, work through each piece using the slider, or click solve the table of present baryons to update the calculator, and above all have fun!