Wave-Particle Duality (Old)

Wave2

Reference: The Foundations of Mathematics

QM seems to be 5% experimental knowledge and 95% interpretation. We even call it Copenhagen interpretation.

It is not difficult to start out from the real experimental knowledge and then explore outwards from there keeping in mind that mathematics is just a tool. If we put too much faith in mathematics without checking against reality now and then, then it can be akin to being brainwashed by mathematics.

EXPERIMENTAL OBSERVATION: We cannot idealize a quantum object as a particle that has a precise location.

It is more like a wave packet (snake) of finite bounds. So, it doesen’t make sense to compute the probability of some “particle” as to its location and call it a wave function of the particle. That would be like computing the probability of “part of a snake” at a certain location. Why not compute the location of the whole snake (wave packet)?

The situation is that we cannot fit the whole “snake” in a precise point location as was done for a particle. We have to think in terms of location of the whole wave packet, and the probability of that is always going to be 1. However that location is not going to be a point.

So problem gets to be the fixed idea of thinking in terms of precise “point” locations only.

That is what mathematical integration from minus infinity to plus infinity is doing. I believe that integration no longer works at quantum levels. We need new mathematical tools for better understanding.

Maybe it is time to look at Georg Cantor’s ideas related to infinity and infinite sets, because it seems that the composition of wave packet belongs to a different infinite set then the infinite set in which it is moving.

.

.

2014 in review

The WordPress.com stats helper monkeys prepared a 2014 annual report for this blog.

Here’s an excerpt:

The concert hall at the Sydney Opera House holds 2,700 people. This blog was viewed about 25,000 times in 2014. If it were a concert at Sydney Opera House, it would take about 9 sold-out performances for that many people to see it.

Click here to see the complete report.

What Einstein might have Missed

Einstein

Apparently Einstein died wishing he knew more math. Actually he should have investigated the very foundations of mathematics.

Mathematics is a subject that is extremely consistent. One is not going to find any inconsistency in math. But Einstein should have been curious about the ideas on which mathematics is based. 

The Foundations of Mathematics

Einstein struggled to understand Quantum Mechanics all his life. He felt a fundamental disagreement with its basis but he could not put his finger on it.

Experimentations at quantum level have shown that there is wave-particle duality. This means that there is no such thing as a “point-particle.” Yet the quantum theory still looks for a point-particle in terms of probability through a wave function.

Maybe it is not a point-particle that is being assumed. Maybe it is a “point-location” and a “point-time” that is being taken for granted. This is possible because mathematics itself is founded on the ideas of “point” and “unit.” The truth is that our very thinking is constructed upon the ideas of “point” and “unit.” Mathematics is simply a refinement of logic.

Quantum Mechanics shows us that the classical thinking is no longer valid. The mass of a particle cannot be reduced to a precise center of mass . Nor is there an ideal disturbance with no center of mass. Infinite sine and cosine wave representations of disturbance are mathematical constructs only. The truth is somewhere in between. the center of mass gets increasingly diffused as we investigate the quantum levels.

The inconsistency seems to be that space and time are still being perceived as independent of the disturbance (wave) and the mass (particle). It is being believed that there is a “point-location” and a “point-time” even when there is no “point-particle.” Looks like reality is being confused with mathematical thinking.

Can the very space and time be “diffused” like the quantum “particle”?

Maybe space and time are not independent of disturbance and mass. Maybe space and time are as diffused at quantum levels as are the observations of waves and particles.

.

 

TR0 and Mindfulness (old)

Mindfulness TR0

Please see TR0 with Mindfulness

TR0 is the very first exercise in Scientology. People get wonderful results on it, when they do it for the first time and apply the principles of mindfulness naturally. Unfortunately, Scientology instructions for TR0 do not mention mindfulness. This opens the door to misapplication of this exercise to control people, which is deliberately done in Scientology. This essay is written to correct that situation.

“TR” stands for training routines. TR0 is the very first exercise that one practices in Scientology. The first part of TR0 is called OT TR0. The purpose of OT TR0 is

“To train student to be there comfortably and confront another person. The idea is to get the student able to BE there comfortably in a position three feet in front of another person, to BE there and not do anything else but BE there.”

This exercise cannot be done correctly without the understanding of mindfulness. Mindfulness is attentiveness. The purpose of mindfulness is to recognize things as they are. In the context of assisting another, one should be able to deal with oneself, as well as with the other person, objectively and with full attentiveness.

Thus, in the context of assisting another person, one requires,

  • Recognizing oneself for what one is.
  • Being totally comfortable in proximity of another person.
  • Recognizing the other person for what he or she is.

TR0 is a brilliant exercise. Its formula can be applied to confronting other things in life as well. The following instructions are provided for OT TR0.

“Student and coach sit facing each other with eyes closed, a comfortable distance apart—about three feet… There is no conversation. This is a silent drill. There is NO twitching, moving, confronting with a body part, “system” or vias used to confront or anything else added to BE there. One will usually see blackness or an area of the room when one’s eyes are closed. BE THERE, COMFORTABLY, AND CONFRONT… When a student can BE there comfortably and confront and has reached a major stable win, the drill is passed.”

.

With an understanding of mindfulness, these instructions may be expanded as follows (with eyes closed).

  • Become aware of the body and stay aware of it without interfering with its natural movements, such as, that of breathing. Do not resist anything.

  • Become aware of the mind and stay aware of it without interfering with its natural processes, such as, thoughts and feelings. Do not suppress anything.

  • Become aware of what your physical and mental senses present to you, such as, visual forms, sounds, smells, taste, touch, thoughts, emotions, and impulses. Do not strain to perceive them.

  • Let the body move in response to the natural impulses from the mind. Do not try to control the body movements. Let them unwind and settle down on their own.

  • Let the mind respond naturally to the stimuli present in the environment. Do not try to control the mental responses. Let them unwind and settle down on their own.

  • Let physical reactions, such as, twitches in muscles, minor pains and aches, sleepiness, etc., come and go. Don’t resist them. Experience the body as a whole, thoroughly. Such reactions shall unwind and settle down on their own.

  • Let mental reactions, such as, embarrassment, guilt, anxiety, anger, fear, grief, apathy, and even sleep, come and go. Don’t suppress them. Experience the mind as a whole, non-judgmentally. Such reactions shall unwind and settle down on their own.

  • If you find yourself mentally doing something else, or getting lost in thoughts, then simply recognize it, and continue. Let the attention roam freely.

  • Let the “pictures” of the current and past events come and go. Let the feelings, emotions and sensations play themselves out. Do not speculate on anything. Simply be aware.

  • Let the realizations present themselves without you making any effort.

Once the above is accomplished one may then move to the next part of TR0, which is similar to this exercise but with eyes open.

So get a friend to do this exercise with you, and have fun.

.

Note added 2/14/15:

It may be possible to do OT TR0 and TR0 sitting in front of one’s reflection in a mirror. This may help one become comfortable with oneself. There is no possible harm in doing this if one follows mindfulness instructions.

After doing this exercise with oneself, one may then do it with another.

.

MIT, Christmas 2014

mit-dome-lighting_brown