Abelian Constructivist Lagrangian

TL;DR

This paper introduces a novel constructivist Lagrangian framework that extends standard field theory to include field families, gauge symmetries, and quantum systems with unique properties, challenging traditional physics paradigms.

Contribution

It proposes a new constructivist Lagrangian approach incorporating field families, gauge scalars, and a third quantum type, expanding the understanding of quantum systems within a unified theoretical structure.

Findings

A third quantum type beyond Planck scale and wave-particle duality.

Expression of physical entities like masses and charges through constructivist properties.

Calculation of the volume of circumstances for gauge scalars and derivation of nonvirtual relationships.

Abstract

Constructivist lagrangian propiates a diverse approach to field theory. Introduce the set action. Consider fields families under a same symmetry group. The resulting fields set extends the standard atomist field theory to a whole field theory. An associative physics is proposed. The grouping physics. The relationship between the part and the whole is considered. A third quantum type beyond Planck granularity and quantum mechanics wave-particle is obtained. The quantum inserted in the whole. Differentiated energy packets are formed. A quantum system is constituted. Quantum system with own norm is a necessary theoretical argument. More is different, once time said P.W. Anderson. Physics is challenged to make the passage from an isolated particle to a quantum system. A theory to describe the physics of part in the whole. A challenge to be interpreted under gauge symmetry. A symmetry of difference is proposed. Quantum diversities enlarging the meanings of interaction, induction, connectivity. The abelian constructivist lagrangian is explored. A quantum system assembled by fields families and gauge scalars is performed. It arises an environmental physics. Gauge scalars form substrutures with realities and potentialities. The volume of circumstances for each gauge scalar is calculated. Nonvirtual relationships are derived. Physical entities as masses, charges, coupling constants are expressed under constructivist properties. Functionalities will lead them to a physical behaviour beyond four interactions.