Omnisyndetic Advanced Geometric Flavour Isospin Calculator v1.0

Omnisyndetic Geometric Baryon Lattice Calculator Version 1.0

Type flavour, choose charge and spin, the tool places the state and scans the λ-window for its mass band.

Inputs

step 1 · set content

Flavour / steps Catalogue preset

Selecting a preset fills flavour, charge, spin, and tuned (lambda) then runs “Compute from (lambda)”.

flavour letters parsed as u,d,s,c,b; digits 1–5 read as contrast steps.

Net charge Q

Spin

Parsed flavour

u: 0, d: 0, s: 0, c: 0, b: 0

if counts look odd, adjust the string and recompute.

Structural classification

state [L,U] = [–, –]

sector: – S depth: – charm: – bottom: –

Direct λ/κ input

Enter λ (radius) or κ (curvature) to compute mass and curvature directly. Values outside the band are ignored.

λ (dimensionless)

κ (curvature)

Triad geometry

λ_L λ_U C

This is an entirely deterministic geometric model.

Contrast hex

⃗s = –,–,–

Arc pyramid

L=–, U=–

Mass outputs

current predictions

Summary of the two main mass estimates from this configuration.

Window mass (band) = – MeV
Radius mass (λ input) = – MeV

Mass window

step 2 · read band

rest-energy band

m_min = – MeV
m_max = – MeV

band geometry

width = – MeV
centre = – MeV

[m_min, m_max] from λ ∈ [\lambda_{\min},\lambda_{\max}) (dimensionless),
κ, C set by (L,U).

spin chosen, charge fixed ⇒ class |Z|; heavy tier uses broken-apex rule.

λ tuning

step 3 · tune λ

adjust λ inside this band; the twin on the other side of λ₀ is locked to the same mass.

lower arc λ_L

λ window

λ_min = – fm
λ_max = – fm

current selection

λ_L = – fm
λ_U = – fm
m(λ) = – MeV

Coherence & curvature

a_dev = –
κ = –
C = –
|r_dev| = –
φ = –

Mass split & structure

m(λ) = – MeV
E_dir = – MeV
E_inh = – MeV
IES = (5π/3)² (=25π²/9) (≈ 27.415568)
arc –, Δκ = –

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