MythOfTheContinuum
In the world of ideas you can occupy an infinity of positions going from point A to point B. In quantum mechanical systems the only infinity is time. All other infinities in quantum theory are removed by renormalization (time is removed also, but they add it back later). You could never get to point B continuously in finite time as there is no distinction between time and the number of positions occupied. The value of pi can exist in the mind, but it cannot exist in quantum mechanical worlds because it is not constructible in finite time. In our mind we can say "and so on", or "..." and specify an infinity in finite time. This is apparently not true in the physical world. There is nothing that exists in the physical world, that we know of, that is not constructible in finite time.
Yet, many scientists attribute the properties of the world of ideas to nature. If we can think of a continuum, then one must be manifest? I see how strong that belief is in many people, even many of the great scientists. But it is contrary to all the evidence. I am sorry, but the "gut" feeling that nature must be continuous. no matter how strong it is, or how many people believe it, cannot change the fact that THE UNIVERSE IS NOT SCALE INDEPENDENT. In a continuous world you could make a house the size of an atom. In this world you can't. Why? Because everything in the universe is constructed from Plank actions which have a discrete binary nature, not a continuous one. The idea of the continuum is delusional science, there is not a shred of evidence supporting it. When will the madness end...
Electrons of like spins and energy manifest independent state, defining independent place or expansions while opposite spins fail to manifest independent place manifesting contractions.
There are no fields in quantum mechanics and quantum mechanics accounts for everything that happens. Electrons do not have tiny effects of all other electrons, they interact, manifesting expansion, or they don't, otherwise the effect on each other is zero. It is unnecessary to invent magical fields that allow individual electrons to effect everything in the universe at any distance. The simple fact is they don't. Interactions are between exactly two electrons with no witnesses or side effects. Fields are simply a way of accounting for the statistical effects of gazillions of events, not magical influences at a distance.
Nothing in waving. Quantum systems do not vary as waves. they only alternate at discrete intervals. No intermediate values are ever measured. While probabilities vary according to "the wave function" there is no quantum measurable which varys like a wave. Even the wave function only has meaning for discrete values of Plank actions representing discrete application of quantum logical operators. But still, many speculate that because the wave function exists, and the statistical distributions of events looks like a wave, that there must be waves there somewhere. In QM systems jump from one discrete state to another.
There is no interaction involved with entanglement. Einstein, Schroedinger and Bell were clear on that. Yet Bohr's view is still widely believed. The idea of quantum magic may be appealing, but until a contructable world is excluded we ought not presume an unconstructable one.
DiscreteRelativity, FiniteNature, MythOfUncertainty, QuantumEntanglement