Levels of abstraction
Beyond the Edges
|The color seen by
the birds, the polarization seen by the bees, and the sound wave images
seen by the bats were beyond comprehension to the prehistoric cave man.
are barely comprehensible to modern man. But modern man, too, sometimes
senses intrusions into his awareness from beyond his abilities to see into
the world of abstractions. He might even think that to be "abstract,"
something must be "not real."
abstract patterns in the way that charged particles behaved (atoms and
molecules are full of charged particles) didn't mesh properly. They didn't
mesh at all! They were, in fact, a mish-mash.
A Swiss patent examiner made a mesh out of the messy mish-mash. And, incidentally, demonstrated that there is deep, shadowy magic underlying human experience. It is magic utterly beyond human experience or understanding, in any kind of completeness. Energy (the modern meaning) is somehow the same thing as "mass," which is the property of matter that resists being pushed around. Weird!
It's not that one can be "converted to" the other, as many who do not really see those abstract patterns frequently mistakenly mis-state. It's that they are "merely different expressions of the same thing," as that Swiss patent examiner stated it.
Nor was that the end of the magic. A couple of decades later, a group working in Cøpenhagen, Denmark discovered that energy and time (also position and momentum...and one other pair of abstractions) are inseverable parts of something within that magic world beyond human comprehension.
that something? Who knows? It lies in the deep shadows of the
magical world outside of human perceptions, of even our mathematical "perceptions
of the abstract." We do know that it is closely related to that probability
which could give nourishment and rest to the hungry and fatigued cave man.
In Boltzmann's equation, S = k lnW, the quantity "W" is the quantity of
that shadowy abstraction.
so we progress along . . .
Magic appealed to but not understood is a trap for the beast that cannot learn, cannot understand, cannot search for those deeper, abstract patterns.
Further into the fable