Author Archives: vinaire

I am originally from India. I am settled in United States since 1969. I love mathematics, philosophy and clarity in thinking.

KHTK Axiom #5: Existence (old)

October 15, 2013 – 12:56 PM
Frozen
[Reference: KHTK AXIOM #4: Objects]
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KHTK Axiom #5: The existence of objects is characterized by time.

  1. Each dimension characterizing an object has its own duration.

  2.  These durations are made up of cycles of start-change-stop.

  3. The existence of the object is characterized by the interactions among these durations.

  4. The time of an object can be quite complex, and so does its existence.

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[For further details, please see: KHTK Research]

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Posted in Postulates | Comments (13)

KHTK Axiom #4: Objects (old)

October 14, 2013 – 9:01 PM

still_life_apple_red

[Reference: KHTK AXIOM #3: Space-time]

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KHTK Axiom #4: Objects are ‘systems of motion’ characterized by space.

  1. With two objects in relative motion there is a single dimension along the line joining them. There is awareness of one-dimensional space.

  2. With three objects in relative motion, there is a planar region generated by the lines joining them. This region requires a minimum of two dimensions to describe it fully. There is awareness of two-dimensional space.

  3. With four objects in relative motion, there is a bulk of region generated by the lines joining them. This region requires a minimum of three dimensions to describe it fully. There is awareness of three-dimensional space.

  4. With more than four objects in relative motion, the lines joining them generate more complex characteristics of the system that are not necessarily geometric. These characteristics are as complex as color and temperature. This leads to awareness of multi-dimensional space. 

  5. A multi-dimensional space acquires all those characteristics that are used to identify a system of motion. We become aware of that system of motion as an object.

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[For further details, please see: KHTK Research]

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Posted in Postulates | Comments (1)

Free Math Tutoring

October 12, 2013 – 12:21 PM
MC 007
This is a picture taken at the Math Club that I ran for 15 years

I have been tutoring math for the last fifty years on and off. I have written my own math materials. All of that and other reference material, which I like, is available on this blog. See Course in Mathematics.

I have decided to tutor mathematics for free as I am now approaching retirement. At the moment I am consulting  part time as an engineer, I shall be tutoring at the locations I visit frequently. These locations are the local Library, the local Starbucks, and the local Barnes & Nobles.

The reasoning behind free math tutoring is the same as the reasoning that underlies the research I have been doing into KHTK (mindfulness).

I feel secure to the degree the environment around me is capable of mindfulness.The knowledge of math and science definitely contributes to mindfulness.

Today, I shall be conducting my first free math tutoring session under this program. How many students I am able to tutor shall depend on the time available to me. In the future, I may extend this offer on Skype.

Normally, I shall be tutoring a student once a week for three free sessions. After three sessions I may continue with the same student, or move to another student. This offer is based on first come first served.

This is an ambitious experiment.  This may include tutoring some students to become math tutors. I am excitedly looking forward to its results.

MC 001

The Math Club… a busy place!

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Posted in Mathematics | Comments (8)

Constants of this Universe

October 6, 2013 – 6:19 AM

http://www.youtube.com/watch?v=uaN8uM_2_sk
http://www.youtube.com/watch?v=uCZ0U2sDi9M
http://www.youtube.com/watch?v=YNv9KVXhu2w

The universal constants are

Gravitational constant, G = 6.6 x 10-11 N (m/kg)2
Planck’s constant, ħ = 10-34 J.s
Speed of light, c = 3 x 108 m/s

A dimensional analysis from these constants (described in the videos above) gives us,

Planck length = 1.6 x 10-35 m
Planck time = 5.4 x 10-44 s
Planck mass = 2.2 x 10-8 kg

These are fundamental units that have significance, which needs to be explored.

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Posted in Science | Comments (9)

KHTK Axiom #3: Space-time (old)

October 5, 2013 – 8:39 PM
motion2

January 1, 2014: This essay is superseded by KHTK Axioms

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[Reference: KHTK AXIOM #2: Awareness]

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KHTK Axiom #3: Awareness of motion is composed of space and time.

  1. Motion comes into awareness with an object appearing at a distance, approaching, passing, and then moving away to disappear in the distance.

  2. The varying distance defines the dimension of this motion.

  3. The motion stays in awareness from the moment the object appears till the moment it disappears.

  4. The continuation of motion defines its duration.

  5. Dimension of motion, such as, the varying distance brings about the experience of space.

  6. Duration of motion, such as, the period of varying distance brings about the experience of time.

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[For further details, please see: KHTK Research]

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Posted in Postulates | Comments (36)