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Eating Goldstone bosons in a phase transition:A critical review of Lyre's analysis of the Higgs mechanism
gauge transformations Higgs mechanism representation symmetry
2016/5/31
In this note, I briefly review Lyre’s (2008) analysis and interpretation of the Higgs mechanism. Contrary to Lyre, I maintain that, on the proper understanding of the term, the Higgs mechanism r...
What is the “Paradox of Phase Transitions?”
phase transitions scientific representation,emergence reduction thermodynamics statistical mechanics
2016/5/30
I present a novel approach to the recent scholarly debate that has arisen with respect to the philosophical import one should infer from scientific accounts of “Phase Transitions,” by appealing to a d...
Soliton Coupling Driven by Phase Fluctuations in Auto-Parametric Resonance
Auto-Parametric Resonance whispering
2008/4/21
In this paper the interaction of sine-Gordon solitons and
mediating linear waves is modelled by a special case of
auto-parametric resonance, the Rayleigh-type self-excited
non-linear autonomous sys...
Spacetime memory is defined with a holonomic approach to
information processing, where multi-state stability is introduced by a non-linear phase-locked loop. Geometric phases serve as the carrier of ...
Topological Phase Fields, Baecklund Transformations, and Fine Structure
pseudosphere phase berry Gordon
2008/4/21
Quantum coupling is defined by comparing the evolution of an input
to an output phase, where the phase is evolving on a curved
pseudospherical surface. The difference given by interference
obeys a ...
Iterative Interplay between Aharonov-Bohm Deficit Angle and Berry Phase
abelian local non-pertubative nonabelian
2008/4/15
Geometric phases can be observed by interference as preferred
scattering directions in the Aharonov-Bohm (AB) effect or as Berry
phase shifts leading to precession on cyclic paths. Without
curvatur...
Berry's phase carries physical information coded as topological
and geometrical objects that can be directly verified in
measurements. In some cases the situation can be reduced to an
irrational ph...
Irrational numbers can be assigned to physical entities based on
iterative processes of geometric objects. It is likely that
iterative round trips of vector signals include a geometric phase
compon...