The Seba library treats Eigenmode in 6 passages, across 4 authors (including Pauli, Wolfgang, Simondon, Gilbert, Ponte, Diogo Valadas; Schafer, Lothar).
it is precisely this expression E'/v that remains invariant when the eigen-frequency of the oscillator undergoes adiabatic change or when applied to a normal mode of the radiation cavity which is adiabatically compressed
Pauli establishes that eigen-frequency and normal modes of a radiation cavity are the classical locus of adiabatic invariance, the foundation on which quantum eigenmode theory is built.
, Writings on Physics and Philosophy, 1994thesis
the 'I' wave has a spectral decomposition in a Fourier series or integral, and this decomposition represents all the possible states of a measurement of the quantity of movement
Simondon deploys spectral decomposition into proper functions as the mathematical image for how indeterminate potential resolves into determinate individuation, directly analogising eigenmode structure to ontogenesis.
, Individuation in Light of Notions of Form and Information, 2020thesis
the electrons in atoms aren't tiny material particles or little balls, which run around atomic the atomic nuclei like planets around the sun, but they are standing waves
Ponte identifies the standing-wave (eigenmode) structure of electrons as the basis for understanding atomic order as wave-interference rather than particle trajectory, linking quantum formalism to meaning-bearing pattern.
, Carl Gustav Jung, Quantum Physics and the Spiritual Mind: A Mystical Vision of the Twenty-First Century, 2013supporting
we could constitute a more complex system of pendulums coupled together without damping (weighted pendulums or tors
Simondon's analysis of coupled oscillatory systems anticipates the concept of normal modes as emergent from the coupling of simple periodic systems, grounding eigenmode thinking in energetic individuation.
, Individuation in Light of Notions of Form and Information, 2020supporting
In this quantum mechanics a harmonic component oscillation is actually assigned to a pair of stationary states. By this abandonment of the mechanical picture — there is no such thing as a development in time of a single stationary state
Pauli explains that matrix mechanics reassigns the harmonic (eigenmode) oscillation from single states to transitions between pairs of stationary states, dissolving the classical picture of an independently evolving mode.
, Writings on Physics and Philosophy, 1994supporting
the nature of any system cannot be discovered by dividing it into its component parts and studying each part by itself, since such a method often implies the loss of important properties of the system
McGilchrist, citing Planck, argues that the system-level properties — of which eigenmodes are exemplary — are destroyed by reductive decomposition, implicitly endorsing a holistic frame for understanding characteristic modes.
, The Matter With Things: Our Brains, Our Delusions and the Unmaking of the World, 2021aside