The X-lectures series complement our previous Lectures series on ResearchGate on electromagnetic and quantum theory from a classical perspective, which we define as making sense of Maxwell’s equations and the Planck–Einstein relation from what we call a realist perspective. The objective of this new series is not to oppose modern physics, but to better understand it—by carefully revisiting some of its foundational assumptions.
The starting point is Lecture X1, in which we operationalize the distinction between stability and instability of charged particles through a simple but physically meaningful quantity: the phase-closure defect . Instead of treating decay as fundamentally probabilistic, we interpret it as the gradual loss of phase coherence in an internal dynamical structure. This provides a concrete example of what we call a statistical determinist reading of quantum phenomena.
Lecture X2 then revisits the concept of a gauge in classical electromagnetic theory. While gauge freedom is usually presented as a harmless mathematical redundancy, we argue that it is not entirely “innocent”: the choice of gauge reflects boundary conditions, physical assumptions, and the way we organize the description of interactions.
In Lecture X3, we take a further step. Modern physics elevates gauge symmetry from a freedom of description to a guiding principle from which interactions are derived. We examine this move carefully and contrast it with a realist interpretation in which the phase of the wavefunction represents physical structure rather than a purely mathematical degree of freedom. From this perspective, gauge fields may be seen as arising from consistency requirements of the formalism, rather than as fundamental entities.
Taken together, the three papers trace a conceptual progression:
- from stability as phase coherence (X1)
- to gauge freedom as non-trivial choice (X2)
- to gauge principles as powerful—but possibly non-fundamental—structures (X3)
In essence, we move from a “gauge is not innocent” position to a “gauge may not be fundamental” position.
The broader aim is modest but, we think, important: to show that the standard formalism of modern physics remains operationally complete, while its interpretation is not unique. Exploring alternative ontologies—such as the realist perspective adopted here—may help clarify what our equations are actually telling us about physical reality.
Links to the papers (X1: Operationalizing the Stability–Instability Frontier, X2: Intuitive Notions on Gauge Theory, X3 From Gauge Freedom to Gauge Principles—and Beyond) are in the text above.
As always, comments are welcome—but preferably in the form of arguments, equations, or better ideas.
Reading Feynman 