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The Theory of Measurements State of Measurement
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"Space and time are the framework within which the mind is constrained to construct its experience of reality." ― "To say that the electron shooting out of the nucleus was created out of thin air required a fantastic leap of faith. We revere the greats of physics, such as Fermi and Heisenberg, for leaps such as these." - Anthony Zee, Quantum Theory as Simply as Possible. |
We grow up in a world
whose nature is assumed to be
deterministic. From the moment
we open our eyes, there is this
onslaught of information related to
structures and events around us,
inorganic and organic both.
Growing up, we take it for granted
that the nature is how we see it,
because our minds are conditioned to
a certain thinking which is ochlocractic
at best. The true gift nature
so graciously has provided us
with, remains unappreciated
all together.
Fortunately for us, there are always some bell-curve outliers among humanity, who have challenged the conventional thinking based on uncompromising logic, relentless reasoning, and more importantly a vivid imagination. What probably begun as simple cave drawings about the basic facts of life, later transformed into geometry, arithmetic, algebra, and many other scientific disciplines. The measurements based on a standard set of tools such as ruler and compass, played an integral part in developing Greek geometrical concepts. Since the the measurement tools have become more and more sophisticated as we mentioned earlier. The basic concepts of measurements, observers, objects, and limits to observer's capability to measure, within the universe are neatly summed up in the theory of Special Relativity (SR). The discussion related to the State of Measurement (SOM) in j-space, is firmly based on SR. To understand the State of Measurement, first let us describe a real life system as shown below. Let us break down this situation into its components. We have two entities: Ocean-waves and Surfer. The Ocean-waves and Surfer are, objects under measurements as well as observers performing measurements. The surfboard is an extension of Surfer. The objective of the exercise is for Surfer to maintain his/her balance on the surfboard as he/she rides the wave, i.e stay in the state of measurement. So what does it mean "to maintain the balance"? At any given instant, Surfer must align the normals drawn at the surface of the surfboard and the surface of the ocean as shown: ![]()
We note that Surfer being an
observer is supplying resources in
the form of bio-mechanical energy
to the surfboard surface to
maintain the balance, as Surfer
rides the wave. It is an
ongoing process in which
infinitesimal adjustments are made
by the observer based on the
measurements he/she performs using
surfboard. In this
particular case, the ocean is calm
and both normals are aligned to
each other with a finite number of
measurements.
Next, Surfer is trying to maintain balance while riding a wave. Surfer has to continue aligning Nsurfer to Nocean, as the wave's character changes. In j-space language, Surfer is an efficient observer who is performing measurements on ocean waves using his lab which is surfboard combined with Surfer. In this case, the number of measurements required to align normals is higher than the previous case, but still finite. And therefore the balance can be maintained even though the sea could be rough. ![]()
However every
observer, no matter how good he/she
is, has limitations. What if, the
state of wave changes too quickly
for Surfer to process? An
exaggeration is shown below:
![]() The statement "the state of wave changes too quickly" implies that entropy in the observer's measurement is extremely high even though the observer is measuring at maximum efficiency. Aligning both normals in this case is extremely difficult. The event we are discussing, is just one of innumerable events spread all over the universe matrix. So how do we turn this understanding of the state of measurement, into something more tangible, something more scientific which provides us with an organic knowledge structure and gives us some prediction capability?1
We are quite far from prediction
capabilities actually. Let us
first discuss SR and Frames of
References, in j-space.
...To be
continued
![]() ____________________
1. Examples of predictions in modern science, are positrons and anomalous magnetic moment of electron expressed in terms of fine-structure constant α. On cosmological scale, earth not being the center of universe and the bending of light by gravity come to mind. *** |
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