Fri, 19 Nov 1999 19:01:44 -0800
I should perhaps add one more remark; that decoherence
is not without distinguishment.
We use circuits with large resistances as "space heaters"
and from this we derive a distinguishment or contrast of
heat and cold on those cold winter nights, but as with
anything else, the 'burning of space'
(or land like the rainforests) is not without its consequences.
Contrast is as important as brightness, but these two
should not be confused with each other.
I like the idea of portraying this in terms of ideal mirrors,
which reflect all the colors in a specific direction, as opposed
to white paper which also reflects all the colors equally, though
not with specific direction (diffuse). Is the mirror, when
crushed into many pieces, the same as the white paper ?
The mirror appears gray because it is really black in the
regions where light is not reflected. And black and white
and grey are merely distinguished by relative brightness.
"Superpositions" are distinguished from "filters" by their
ability to add as well as subtract. Filters only subtract.
When two systems are superposed and then separated, their
former superposition becomes an entanglement.
A filter can exist without a superposition. First comes space.
As in spatial filters in holography.
A superposition cannot exist without the concept of a filter
(in terms of destructive interference). Then comes time.
As in non-spatial filters in holography (Feynman filtering
or filtering in the time-domain using convolution instead
of multiplication of the impulse response in the spatial
Entanglement cannot exist without superpositions and filters.
Then comes space-time. As in the more recent quadrature mirror
"filters" or wavelets analysis, .... (Indeed it should be called
"analysis" as it is very similar to what a psychoanalyst
does in terms of a patient's _subjective_ spatio-temporal
memories. The analyst essentially unravels the [en]tangled
threads of space-time in a patient's memories (historical
threads) and reweaves them into a more "flat" or "euclidean"
road map. Similarly, the entangled space-time histories
are unravelled in a _physical_ signal by multi-resolution
analysis of both it's static (deterministic) and dynamic
1) Filters are static and spatial.
2) Superpositions are dynamic and temporal.
3) Entanglements are spatio-temporal.
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