Inertia of intrinsic spin

Dennis Morris

Kamal L Rajpal

distributed for no-profit educational & research purposes. Not for commercial use. An isolated static electron in free space is not a fixed particle at rest. It is always oscillating in a SHM in its own electromagnetic inertia field, rest frame even at zero kelvin temperature. This is non-thermal, standing wave, resonance Compton frequency, oscillation along a linear path or, along an elliptical or a circular (clockwise or anti-clockwise) path, corresponding to the electron’s intrinsic magnetic moment (spin up or spin down). An electron with spin behaves like a tiny magnet. Intrinsic spin does not imply that a subatomic particle is spinning like a toytop about its axis. A hypothetical electron without a charge is like the bob of a simple pendulum without a string. INTRINSIC SPIN & ORBITAL ANGULAR MOMENTUM

Ronald A. Lovett

Jincheng Zhang

The dynamics of quantum phases under rapid external perturbations have long been modeled under the assumption of instantaneous or purely reactive responses governed by standard potential energy landscapes and classical capacitance analogies. In this work, we introduce the framework of Quantum Phase-Inertia Spectroscopy (QPIS), proposing that the quantum phase itself exhibits an intrinsic dynamical inertia when subjected to sudden variations in driving velocity. By defining the phase inertia parameter as I_phi = (d^2 E) / (d(\dot{\phi})^2), where E represents the system energy and \dot{\phi} is the phase velocity, we capture a novel form of resistance to changes in phase acceleration. When external drives induce a perturbation in phase velocity given by \dot{\phi} goes to \dot{\phi} + \delta\dot{\phi}, the system generates a characteristic delayed response governed by the dynamic equation \tau_\phi * I_phi * (d^2\phi / dt^2), where \tau_\phi represents the intrinsic relaxation time of the quantum phase configuration. We develop the analytical foundation of this phenomenon, distinguishing it from conventional capacitive charging, dissipative damping, and environmental memory effects. This theoretical formulation opens a new window into fundamental quantum transport, suggesting that phase possesses genuine dynamical inertia with profound implications for quantum mechanics and condensed matter physics.

Peter Leifer

Einstein's program of the unified field theory transformed nowadays to the TOE requiring new primordial elements and relations between them. Definitely, they must be elements of the quantum nature. One of most fundamental quantum elements are pure quantum states. Their basic relations are defined by the geometry of the complex projective Hilbert space. In the framework of such geometry all physical concepts should be formulated and derived in the natural way. Analysis following this logic shows that inertia and inertial forces are originated not in space-time but it the space of quantum states since they are generated by the deformation of quantum states as a reaction on an external interaction or self-interaction. In particular, inertia law generalized by Einstein during development of general relativity (GR) will be expressed in intrinsic quantum terms. It is assumed that quantum formulation of the inertia law should clarify the old problem of inertial mass (dynamical mass generation). The conservation of energy-momentum following form this law has been applied to self-interacting quantum Dirac's electron.

Dennis Morris