From Matter to Geometry: A Geometric Origin for Standard Model Masses in the MMA–DMF Framework (No Dark Matter, No Dark Energy)
From Matter to Geometry: A Geometric Origin for Standard Model Masses in the MMA–DMF Framework (No Dark Matter, No Dark Energy)
We present a geometric completion of the Standard Model (SM) flavour sector in the context of the MMA–DMF effective field theory (EFT), where gravity is described by Einstein general relativity and the Standard Model, with a unified scalar–geometric sector φ encoding the combined state M + GR + SM + V(φ) rather than an additional matter field. In this framework all SM fermion masses, including light Majorana neutrinos, are generated by a universal geometric Yukawa ansatz Yij(ϕ)=cijexp(−γij∣ϕ∣/M)Y_{ij}(\phi) = c_{ij} \exp(-\gamma_{ij} |\phi|/M)Yij(ϕ)=cijexp(−γij∣ϕ∣/M), with a single fundamental scale M≃100M \simeq 100M≃100 TeV fixed by cosmology and screening, and a discrete set of dimensionless charges qfq_fqf. The usual 20+ independent Yukawa couplings of the SM are replaced by these geometrical charges, which we show to be tightly constrained by data and consistent with a quantised spectrum. We construct the geometric flavour spectrum using current PDG masses, perform statistical tests of charge quantisation, and show how a geometric seesaw mechanism with M≡MRM \equiv M_RM≡MR accounts for the observed neutrino mass scale without introducing light sterile states or extremely small Yukawa couplings. We further summarise constraints from flavour violation, electric dipole moments, electroweak precision observables and collider searches, and outline a concrete FCC–hh strategy to directly probe the fundamental scale. Within its domain of validity (energies below O(100 TeV)O(100\ \text{TeV})O(100 TeV)) the MMA–DMF framework realises a “from matter to geometry” paradigm in which SM mass parameters are emergent properties of a single scalar–geometric sector and a discretised geometric structure, with no need for dark matter or dark energy sectors.
Standard Model Fermion masses Geometric mass spectrum Geometric Yukawa law Flavour physics Geometric charges Neutrino masses Seesaw mechanism Majorana neutrinos PMNS matrix Quantum gravity Modified gravity Scalar–tensor theories Dark matter alternative Dark energy alternative Cosmology Fundamental scale 100 TeV physics Future colliders FCC-hh Unified models One-parameter models Zero-parameter limit MMA-DMF framework, Standard Model Fermion masses Geometric mass spectrum Geometric Yukawa law Flavour physics Geometric charges Neutrino masses Seesaw mechanism Majorana neutrinos PMNS matrix Quantum gravity Modified gravity Scalar–tensor theories Dark matter alternative Dark energy alternative Cosmology Fundamental scale 100 TeV physics Future colliders FCC-hh Unified models One-parameter models Zero-parameter limit MMA-DMF framework
Standard Model Fermion masses Geometric mass spectrum Geometric Yukawa law Flavour physics Geometric charges Neutrino masses Seesaw mechanism Majorana neutrinos PMNS matrix Quantum gravity Modified gravity Scalar–tensor theories Dark matter alternative Dark energy alternative Cosmology Fundamental scale 100 TeV physics Future colliders FCC-hh Unified models One-parameter models Zero-parameter limit MMA-DMF framework, Standard Model Fermion masses Geometric mass spectrum Geometric Yukawa law Flavour physics Geometric charges Neutrino masses Seesaw mechanism Majorana neutrinos PMNS matrix Quantum gravity Modified gravity Scalar–tensor theories Dark matter alternative Dark energy alternative Cosmology Fundamental scale 100 TeV physics Future colliders FCC-hh Unified models One-parameter models Zero-parameter limit MMA-DMF framework
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!