From Newsgroup: sci.physics

1. Abstract
We present an axiomatic formulation of electromagnetic induction based
solely on electric charge, Coulomb interaction, and relativistic
causality. The theory is built upon a single fundamental objectrCothe Progressing Electric FieldrCodefined as the causal propagation of electric influence from the past positions of charges at finite speed. Magnetic
fields, magnetic flux, and FaradayrCOs law are not assumed as primitives
but emerge as derived, effective quantities. This work establishes the
axioms, primitive definitions, and core propositions of the theory,
providing a foundation for re-deriving induction phenomena without
postulating magnetic fields as fundamental entities.

The original article:
Kuan Peng, 2026, -2 A Derivation of Faraday's law from Coulomb's Law and Relativity / 1.The Progressing Electric Field Model -+ https://www.academia.edu/146009113/A_Derivation_of_Faradays_law_from_Coulombs_Law_and_Relativity_1_The_Progressing_Electric_Field_Model
https://pengkuanem.blogspot.com/2026/01/a-derivation-of-faradays-law-from.html

1. Scope and Intent
This article does not seek to reinterpret MaxwellrCOs equations within
their own conceptual framework. Instead, it proposes an alternative foundational structure for electromagnetic phenomena. The objective is not
to negate existing theories but to identify a deeper causal layer from
which standard electromagnetic laws arise as effective descriptions.
The present work constitutes the foundational stage of the theory. Its
purpose is to define axioms, construct the primary field object, and demonstrate its essential properties, notably its non-conservative nature
and its capacity to induce electromotive effects in conductors.

2. Primitive Ontology
The theory is built upon the following primitive entities:
rCo Electric charge: a scalar quantity carried by particles.
rCo Spacetime: a relativistic spacetime endowed with a universal invariant speed c.
rCo Progressing Electric Field (PEF): a causal distribution of electric influence propagated from charges.
No magnetic field, magnetic flux, vector potential, or electromagnetic
energy density is introduced at the axiomatic level.

3. Axioms
Axiom A1 rCo Charge as the Sole Source
Electric charge is the only fundamental source of electromagnetic
interaction.

Axiom A2 rCo Finite Causal Propagation
Any influence produced by a charge propagates through space at a finite invariant speed c. No instantaneous action at a distance exists.

Axiom A3 rCo Retarded Local Interaction
At any spacetime point, the electric influence due to a charge depends exclusively on the chargerCOs position at the corresponding retarded time.

Axiom A4 rCo Local Coulomb Structure
The magnitude and radial orientation of the electric influence emitted
from a charge at its retarded position obey CoulombrCOs law locally with respect to that retarded center.

Axiom A5 rCo Superposition
Electric influences from distinct charges combine linearly.

Axiom A6 rCo Snapshot Field Representation
At any instant of time, the total electric influence in space may be represented as a spatial field constructed from all retarded contributions corresponding to that instant.
This representation is purely kinematic and does not imply the existence
of a global scalar potential.

4. Definition of the Progressing Electric Field
Definition 1 (Progressing Electric Field).
The Progressing Electric Field EreU(x, t) is the spatial field obtained at time t by superposing all Coulomb-type electric influences emitted by
charges from their retarded positions.
The field is structured by a continuous family of expanding iso-intensity surfaces whose centers coincide with the past positions of the source
charges.
rCa
For more detail, please read
Kuan Peng, 21 January 2026, -2 Axiomatic Formulation of rCLA Derivation
of Faraday's law from Coulomb's Law and RelativityrCY -+ https://www.academia.edu/146952831/Axiomatic_Formulation_of_A_Derivation_of_Faradays_law_from_Coulombs_Law_and_Relativity
https://pengkuanem.blogspot.com/2026/01/axiomatic-formulation-of-derivation-of.html


--- Synchronet 3.21a-Linux NewsLink 1.2