Logo ijspace blog


The Theory of Measurements

State of Measurement

  26th November 2024

HOME











































"Space and time are the framework within which the mind is constrained to construct its experience of reality."

Immanuel Kant



































































































































"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.



***











Previous Blogs:


The Theory of Measurements - I

An Ecosystem of δ-Potentials - IVB
 
An Ecosystem of δ-Potentials - IVA

An Ecosystem of δ-Potentials - III

An Ecosystem of δ-Potentials - II

An Ecosystem of δ-Potentials - I

Nutshell-2019

Stitching Measurement Space - III

Stitching Measurement Space - II

Stitching Measurement Space - I

Mass Length & Topology

A Timeless Constant

Space Time and Entropy

Nutshell-2018

Curve of Least Disorder

Möbius & Lorentz Transformation - II

Möbius & Lorentz Transformation - I

Knots, DNA & Enzymes

Quantum Comp - III

Nutshell-2017

Quantum Comp - II

Quantum Comp - I

Insincere Symmetry - II

Insincere Symmetry - I

Existence in 3-D

Infinite Source

Nutshell-2016

Quanta-II

Quanta-I

EPR Paradox-II
 
EPR Paradox-I

De Broglie Equation

Duality in j-space

A Paradox

The Observers
 
Nutshell-2015
 
Chiral Symmetry

Sigma-z and I

Spin Matrices

Rationale behind Irrational Numbers

The Ubiquitous z-Axis



Information on www.ijspace.org is licensed under a Creative Commons Attribution 4.0 International License.
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits. This is a human-readable summary of (and not a substitute for) the license.

Green power