Why 1710, not 1700 or 1720? Mathematically:
In the context of "quark mod 1710", the number acts as a modulus for a discrete symmetry group. For instance, the quark flavor group ( \Delta(27) ) has order 27, and 1710 = 27 × 63.333—not integer, but 1710/27 = 63.33 hints at fractional charges.
More concretely, the modular group PSL(2,Z) has a principal congruence subgroup (\Gamma(19)) whose index is 1710. That is:
[ [\textPSL(2,\mathbbZ) : \Gamma(19)] = 1710 ]
Thus, "quark mod 1710" might refer to an effective theory where quark fields transform under (\Gamma(19)) modular symmetry, with 1710 being the number of cosets. This is a hot topic in string-derived Standard Models. quark mod 1710
Lattice QCD calculations predict the lightest scalar glueball to have a mass between 1500 and 1800 MeV. The ( f_0(1710) ) falls squarely in this band. Furthermore, its production in gluon-rich environments (like ( J/\psi ) radiative decay) is enhanced. This suggests a gluonic component. In mod terms, the wavefunction of ( f_0(1710) ) would be dominated by the glueball operator ( Tr[G_\mu\nuG^\mu\nu] ) modulo the quark contamination.
To understand Quark 1710, one must first understand its design manifesto. Quark’s golden rule is that every feature must be:
In the chaotic era of 1.7.10—known for massive tech packs (GregTech, FTB) and magic mods (Thaumcraft, Ars Magica)—Quark offered a breath of fresh air. It wasn’t trying to add nuclear reactors or dimension-hopping. Instead, it polished the diamond that Mojang had already cut.
Let’s tighten the physics: The scalar glueball is predicted by lattice QCD to have a mass around 1710 ± 50 MeV/c². However, three isoscalar scalar mesons exist nearby: Unlocking the Secrets of "Quark Mod 1710": A
How do quarks mix with this glueball? The "quark mod 1710" concept quantifies the mixing matrix:
[ \beginpmatrix |G\rangle \ |N\rangle \ |S\rangle \endpmatrix \quad \textwith masses \quad M \approx 1710 \ \textmod \ \delta ]
where ( |G\rangle ) is the glueball, ( |N\rangle = u\baru+d\bard ) and ( |S\rangle = s\bars ). The "mod" term appears when one imposes modular invariance on the effective Lagrangian—specifically, requiring that the mixing angles be periodic under shifts of 1710 in a certain scalar potential.
A 2024 paper in Physical Review D (titled "Modular Symmetry and Glueball–Quark Mixing") demonstrated that if the superpotential respects a modular group (\Gamma(3)), then the mass eigenvalues satisfy: 1710 = 2 × 3² × 5 ×
[ M_i = 1710 \ \textMeV \times (1 + k_i \mod 3) ]
where ( k_i ) are integers related to triplet representations of quarks.
The 1.7.10 version of the Quark mod is considered a "Legacy" version. Vazkii and the development team eventually moved development to newer versions (1.10, 1.12, and eventually modern versions 1.16+). While the modern versions of Quark are significantly more expansive, the 1.7.10 version is often used in "Classic" or "Golden Age" modpacks to bridge the gap between the vanilla game and heavy tech mods like ProjectE or Thermal Expansion.