Erlangen 2026 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 8: Poster Session

MP 8.5: Poster

Wednesday, March 18, 2026, 18:00–18:45, Redoutensaal

An Algorithm with Positive Geometry and Polynomials P(2π) for Elementary Particle Physics — •Helmut Schmidt — Grasbrunn, Germany

The new field of positive geometry draws on algebraic geometry, which describes shapes and spaces by solving systems of polynomial equations. The neutron mass m_Neutron/m_e = (2π)⁴ +(2π)³+(2π)²−(2 π)¹−(2π)⁰−(2 π)⁻¹+2(2π)⁻² + 2(2π)⁻⁴−2(2π)⁻⁶ +6(2π)⁻⁸= 1838.6836611 is accurate to 10 decimal places. The formula can be divided into 3 objects, each with 3 spatial coordinates and a common time. The first term corresponds to 3 gluons. The second term contains two electrons and a superposition of the quarks u and d. The third term contains the detection in the measuring device in the form of a cascade with streams of electrons. The proton mass m_P/m_e differs from that of the neutron E_C+=−π¹+2π⁻¹−π⁻³+2π⁻⁵− π⁻⁷+π⁻⁹−π⁻¹²−2π⁻¹⁴ and contains the binding energy, or charge. The electron is weightless with (2π)=1 and is the center for a circular inversion of all other particles. For each of the three spatial dimensions, the torque and angular momentum are conserved with 2π c. From this, an algorithm is developed that describes the rest masses and standard deviations of all elementary particles, with the symmetries for matter/antimatter, attraction/repulsion, and creation and annihilation. The Earth’s diameter, sidereal time, and synodic time are the required parameters. 2π c m day = D_{equatorial Earth diameter}²

Keywords: masses of elementary particles; algorithm; cosmos; hierarchy problem; positive geometry