It is assumed that the motion of a particle in spacetime does not depend on the motion relative to it of any observer or of any frame of reference. Thus if the particle has an internal vibration of the type hypothesized by de Broglie, the phase of that vibration at any point in spacetime must appear to be the same to all observers, i.e., the same in all frames of reference. Each observer or reference frame will have its own de (...) Broglie wave for the particle. The phase of the particle's vibration must, by definition, be the same as that of all possible de Broglie waves at the point where the particle is. By superimposing all these possible de Broglie waves, a wave packet is formed centered in space on the particle. The formation of such a packet is discussed with the help of spacetime diagrams; the packet does not spread with time. The relevance of this packet to the wave mechanics of Schrödinger is discussed; it is also pointed out that any vibration can lead to such a packet. (shrink)

It is shown that the fact that an electron diffraction or interference pattern is not dependent on observer movement may be explained by de Broglie's phase waves, but cannot be explained by Schrödinger waves.

A number of authors claim that Western European modern romantic love has been ‘gamified’ by digital apps and platforms, resulting in a ludic market logic that is increasingly compulsive and even addictive. This paper will suggest that modern romantic love was, in fact, predicated on games, particularly games of chance and competition. These games are seen to provide a number of functions, including homosocial bonding, the vindication of personal responsibility, and bringing about the probability of the improbable. The paper examines (...) changing attitudes to chance at several key historical moments in Western Europe, changes which we can discern in romantic codification, as well as in the modern economy. We trace these tendencies to digital corporations, where gathered behavioural data accelerates the capacity to economize and determine futures. (shrink)

A simple stationary state is set up by combining the two de Broglie waves from two particles traveling in one direction with equal and opposite velocities. By considering the waves forming this state from the point of view of all possible observers moving in the same direction, it is shown that the basic standing wave pattern does not alter, but that the particle will be confined to a small region stationary relative to this pattern. This region is similar in extent (...) to that confining a free particle, the natural internal frequency of the particle being raised. This agrees with previous suggestions that a particle in a stationary state without angular momentum is stationary. (shrink)