Friday, January 11, 2013

E is the degree of spacetime separation of the superpositioned particle and t is the time until POR occurs.

Penrose Objective Reduction

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Moving on finally. I have recently come into contact with an “interpretation” of quantum mechanics that I was unfamiliar with (I think). I at least never looked it up in depth if I have heard of it. It is called Penrose Objective Reduction (or POR for short). It is very different than the standard theories in that it doesn’t ignore the collapse of the wavefunction (many worlds or decoherence). Instead it postulates something possibly more fantastic. Let’s start more towards the beginning before going there, though.
Take E=\frac{\hbar}{t} and interpret it. E is the degree of spacetime separation of the superpositioned particle and t is the time until POR occurs. This shows that small superpositions (i.e. things that are almost in a determined state) will take a long time to collapse objectively. This intuitively makes sense, since there isn’t really a “need” for it to take a determined position if it is undetermined at close to plank-length distance. It doesn’t contradict our world view. On the other hand, extremely large objects (say Schrodinger’s cat) will objectively collapse to a single position extremely quickly. This eliminates the “paradox” of Schrodinger’s cat.
But what exactly is POR? It is “objective” collapse of the wavefunction in that it doesn’t require an “observer” as other theories claim. Wavefunctions will naturally collapse. Will this collapse go to a random state (in which we know the probabilities, but still random)? Penrose says no. He claims that there is information embedded fundamentally in spacetime. He makes an even more extraordinary claim that it is “Platonic” in that it is pure mathematical truth, aesthetic, and ethical. Since I have spent weeks rejecting Platonistic views, I feel I should offer an alternative based on this method.
It is known that “empty” space (e.g. the mass gap, actually I can’t find it now, I was going to link it, I’ll keep looking) has enormous stored energy. Many people interpret this as where collective consciousness lives. Instead of some objective random collapse of the wavefunction, or some ethical godlike decision as to what it should collapse to, it seems as if we are missing the power of our own minds. Maybe a more karmic collapse. The thoughts and energy we put into the world gets stored in the area and influences the POR to give us back what we put out.
I didn’t get into a lot of aspects of POR, and I was just making up that last part on the spot, so it wasn’t very scientific or rigorous as to how it could work. Just some thoughts for today.

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