Philip Lilien

Electric Charge Complementarity Gauge Consistency, Global Admissibility, and a Closure-Theoretic Research Program

Electric Charge Complementarity The motivating observation is simple. Hydrogen is electrically neutral because a proton has charge and an electron has charge . Yet the proton contains up and down quarks, while the electron is not made of quarks. Nature has arranged two different...

GENERATOR PHYSICS III Resolution, Carriers, Disclosure, and Nonlinear Reclosure — A Generator-First Reconstruction of Internal Structure

Generator Physics III addresses a structural ambiguity that arises whenever a symmetry algebra is interpreted physically. A Lie algebra tells us which transformations are mathematically available. It does not, by itself, tell us which resolution is physically primary, what carrie...

GENERATOR PHYSICS IV From Admissibility to Worldhood Generators, Representations, Fields, and Spacetime Closure Architecture and the Realization of Physical Freedom

Closure admits; generators organize; representations carry; fields realize; connections compare; dynamics evolves; observables disclose; reclosure validates. A generator is an infinitesimal direction of continuous transformation: rotation, translation, phase, boost, or another co...

GENERATOR PHYSICS IV From Admissibility to Worldhood Generators, Representations, Fields, and Spacetime Closure Architecture and the Realization of Physical Freedom

Closure admits; generators organize; representations carry; fields realize; connections compare; dynamics evolves; observables disclose; reclosure validates. A generator is an infinitesimal direction of continuous transformation: rotation, translation, phase, boost, or another co...

The Paradox of Unprovable Theories and the Ontological Limits of Physics

This work examines a recurring structural problem in modern theory-building: the attempt to explain phenomena whose truth conditions lie outside the coherence band available to the observer who must test them. In contemporary physics and cosmology, this problem appears repeatedly...