What question did this study set out to answer?

This work aims to delineate the consequences of the axiom dT/dF = 0 in the context of contemporary fundamental physics.

June 14, 2026Open Access

The Danieletto Program: A 4-Dimensional Elastic Medium as the Foundation of Fundamental Physics

Key Points

This work aims to delineate the consequences of the axiom dT/dF = 0 in the context of contemporary fundamental physics.
Developed from an unpublished manuscript by Carlos Mario Danieletto in 1959.
Derives key results through the structural connection to physics concepts such as the Standard Model and the Dirac equation.
Presents nine companion papers discussing implications for neutrino masses, dark energy, and quantum mechanics.
Derivation of the Standard Model and canonical quantization from the axiom.
Predicted neutrino masses at 0.371 meV and dark energy characterized by w=−1.
Connections established to observable phenomena such as baryogenesis and Bell non-locality.

Abstract

The Danieletto program originates from an unpublished manuscript written in Buenos Aires on January 14, 1959, by Carlos Mario Danieletto (1909–1970), which postulates the axiom dT/dF = 0 — the Menabrea-Castigliano condition generalized to fields of a 4-dimensional elastic medium. In this work we present an overview of the nine companion papers that develop this axiom to its consequences in contemporary fundamental physics. The main results of the program are: (A) derivation of the full Standard Model SU (3) ×SU (2) ×U (1) and canonical quantization q̂, p̂=iℏ from the axiom; structural connection to the Dirac equation via the Clifford algebra of the 4D helicoid (rigorous derivation in companion work) ; (B) the Koide formula Q (e, μ, τ) =2/3 derived from the Z₃ circulant operator, extended to the Δ (27) flavor group for quarks; (C) the Einstein equations and UV-finite graviton with quantum bounce H²= (8πG/3) ρ (1−ρ/ρₘax) ; (D) Yang-Mills mass gap from instantons and elastic QCD, with connection to string theory; (E) neutrino masses m₁=0. 371 meV, Σmᵢ=58. 60 meV and geometric CP phase δCP=θ_ν+θ₂₃=195. 3°; (F) dark energy with w=−1 mechanically derived and dark matter with Ndark=32 hidden sector constituents; (G) geometric interpretation of α=rₑ/ƛC; (H) baryogenesis via leptogenesis with geometric CP phase and seesaw mechanism from the medium neutrino sector; (I) Bell non-locality from the quantum vacuum spin background with G (r) ∝1/r. The program includes quantitative falsifiable predictions by JUNO (operating since 2025), LiteBIRD (2028), CMB-S4 (2030) and the HL-LHC. Honest limitations are discussed: α=1/137 is not derived, the Born rule is not proven, absolute quark masses are not predicted.

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