Smooth and Non-Smooth-Quantum Gravity

Numbers are non-smooth, many functions are; The Quantum world is non-smooth, General Relativity is. A correlative concept in the making. A start for Quantum Gravity?

Study why non-smooth numbers can lead to smooth functions and maybe we'll have a path to how non-smooth Quantum Mechanics can lead to smooth General Relativity.

Chaotic functions and Deterministic function interaction

Using the movie Sliding Doors as an example we see sensitivity to initial conditions, Chaos. In each trajectory of life, the Chaotic conditions cause different interactions with the world around the person. Now consider everything as a function (everybody) with a trajectory. In one situation the initial function may interact with another function's trajectory or not. If it does, it changes the trajectory of that other function (person.) In other words, one trajectory of the Chaotic function with one set of intial conditions may cause it "bump" into the another function's trajectory (an interaction with a person) and cause it to change from it's "normal"or deterministic behavior. The question in my mind is this. Given the function space of deterministic functions, if we include in this space a Chaotic function and build a rule for the interaction of the Chaotic function with a deterministic function, what happens after x amountof time to the function space and the functions in that space?

Particle Smashing

When we smash particles together in an accelerator their local time is slowed down by an extreme amount right before the smash. When they hit they return to our local time. The particle has not aged much but in it's reference frame, we have aged. How are the resulting particles we see affected by this?

Advice for men of a certain age

Live as if you were to die tomorrow. Learn as if you were to live forever.-Ghandi

Heat and Movement

Nothing is ever completely still. When atoms move or particles jiggle, they carry enerygy. The faster, the more energy. Combine all the energy of atoms and molecules in movement and we have what we call heat.

If we ever reached absolue zero for an object, it would be perfectly still. no time would pass for it. Likewise, if something were perfectly still, it would have no heat and no time would pass.

If everything in the universe stopped moving at all, we would never know because everything would be frozen still and all time would stop.

We are not our parents and we are not our children

I once read that if you fill a child's cup (their mind), then they will not have
room for additional "potentially bad" things. In other words, teach your
children all they need to know.

I think a more realistic approach is this:

You fill a child's cup partially (the amount will vary by parents)
They, as people, and experiences in their lives will fill it the rest of the way.
Why we are human, not perfect, not our parents, and we are not them determined
by what they fill it with. It may be the same "liquid" we used, it may be different, it may mix well, it may not. They may pour some out and add something new. Things can also
be complicated by the fact that the cup may be cracked from the start or crack
in response to what it added.

Just a thought.

Quick Thought-Numbers as Objects

I'll hopefully have time to think more about this later but I want to toss
it out now.

What if we consider numbers as Objects. What I mean by this is the number
itself has Properties (things that define/control it) and Methods (things it can do-operations?)

We can already define, for example, a number system in this way. Take the Integers.
Just to list a few.

Integers
Properties
Positive
Negative
Contain Zero

Methods
Add
Subtract
Commute

This is a limited subset but what if we did the same thing with numbers themselves?
Could this help us get rid of anomolies such as division by zero?

Take the number 12
A Property might inlude
Made up of 12 Unit objects

Methods might include
FindOpposite
FindPrimeFactors
FindDecimalRepresentationByLimit


If we combine this with say the number 0 and use it's method, FindDecimalRepresentationByLimit, then if we took the Object 12 and divided it by
by the Object 0 using FindDecimalRepresentationByLimit we might be able to define an answer.
As opposed to "not defined."

This is not well thought out but I thought I'd toss it out to help remind me to investigate
the idea later.

Who knows, maybe it will help with the pattern of primes or irrational numbers like PI.

Just a thought

E8 - SU(11,3) - Beauty in the Universe?

This is an E8 principal bundle, with connection, over a four dimensional base manifoldthis is an E8 principal bundle, with connection, over a four dimensional base manifold

PI in the Prime of it's Life

Conjecture: Every Prime Number occurs in the digits of PI.
Conjecture: Find the Pattern of Primes in PI and you find the Pattern of Primes in the Real Number System.

Side examination: for a circle C=2 x PI x r or r=C/(2 x PI). Choose a C such that r is a Prime. What do the circles generated from these look like relative to each other. Can this help find the pattern visually?

Creating a Numeric Palindrome

Start with a number
Reverse the digits and add that to the original number
If the result is not a palindrome, keep adding to the current sum the reversed digits of your original number.
You will eventually end up with a palindrome.

Ex. Start with 428
Reverse these to get 824 and add to the original (428+824) to get 1252
Add 824 to 1252 and get an answer.
Repeat adding 824 to each sum. You will eventually get a palindrome.
1252+824=2076
2076+824=2900
2900+824=3724
3724+824=4548
4548+824=5372
5372+824=6196
6196+824=7020
7020+824=7844
7844+824=8668 =Palindrome!

Other Galaxies and Life

So we have peered in to the depths of the universe and seen Galaxies that are around 13.1 Billion years old (13.1 Billion light years away.) What that means is that the light we are now seeing took 13.1 Billion years to reach us. We are seeing that Galaxy at its early stages. I wonder what the Galaxy actually looks like now? How many "suns" have formed, planets formed; if any life has appeared.

Our Galaxy is about 13.2 Billion years old. That means that if one of those other very old Galaxies formed a solar system with life like ours, they may now be looking out in to the universe and seeing the Milky Way Galaxy and seeing "us" as we were 13.2 Billion years ago. They would be seeing a Galaxy that was just forming. No earth existed at that point. (Earth is only 4-5 Billion years old.) So the Galaxy we are seeing, may have someone sitting at their computer, wondering what our Galaxy looks like now.

But we cannot communicate. There is me, wondering what the 13.1 Billion year old distance Galaxy looks like and contains today. And there is that Galaxy, 13.1 Billion light years away, possibly with a person wondering what's going on in the Milky Way. We can't communicate in our life time or even in the life time of our solar system. It is even possible that that distant Galaxy no longer exists. We would not know for another 13 Billion years.

It's also possible, that within our Galaxy or the other one, a solar system formed, planets formed, life formed, flourished and died out; all with no-one else (us for example) every being aware. Here or there a planet could have formed life that became technologically advanced; even maybe a million years more so than we are now and then died out when their sun went supernova or died out. If that happened between 7 and 8 Billion years ago, we would have no idea. And the planet(s) on which that life flourished may not even be around anymore to be discovered.

This could also be taking place (or have taken place) in that distant Galaxy 13.1 Billion light years away. How small we are and incapable of really finding out much about the existence of things outside our tiny realm in time and distance.

Not to diminish science and our attempts to try. It's fun. But we are such a simple but complex thing trying to derive (and actually thinking we can) a theory of everything. If it is possible through, Physics, Mathematics, Chemistry and Biology to at least think we understand everything; some other culture on a long dead planet in our solar system or in a Galaxy 13.1 Billion light years away, may have already been there, done that and dissapeared.

Good luck to us and to the possible inhabitants of a possible planet in the Galaxy 13.1 Billion light years away. I hope their Large Hadron Collider is doing better than ours.
I hope my possible doppleganger in that Galaxy can explain his thoughts better than me.
In a few years, the atoms of my thoughts will be spread out. The atoms of energy in which I am now typing my thoughts will be dispersed in a few years as well; unable to be reassembled, never to be heard again. Never heard by a curious person, typing at their computer on some other planet, that has developed life, after ours has died out.

I love that our brains can imagine and comprehend what they can!

Art Display

The Renaissance woman of whom I have posted about before is putting an art show on display at Central Library today (lasting the month of August.) This and the other's to come should definately be visited. You'll be impressed.

Renaissance woman

There is an amazing woman named Melissa Holly. She constantly studying and thinking about mathematics, chemistry, law, world affairs, art and other eclectic topics.

She recently created beautiful paintings in multiple media and has them heading in to shows. All in a very short period of time.

We talk about the "renaissance man" but we should also talk about the "renaissance woman".

You go girl!!!

How the world is looking at us now

Quoted from the UK.

As a world leader Obama is already looking like the Jimmy Carter of the 21st Century, passive in the face of an array of adversaries, and actively weakening America’s defences by cutting defence spending while adopting an apologetic tone for his country’s past. In his first six months President Obama cannot point to a single foreign policy success. He should though acknowledge that the Obama doctrine of reaching out to America’s enemies, including Iran and North Korea, has been a spectacular failure.

What to make of it: from an objective view

This all quoted from other sources:
With every speech he gives, President Obama goes further and further in diminishing Christianity in America while inflating Muslims here and around the world.
For Americans this appears to be at best an incredibly bad choice of rhetoric or at worst the manifestation of a prejudice hidden in Obama, finally making its way out.
To Muslims though, it has a much deeper meaning tied to the concept of “Dhimmi,” the subjugation of other religions to Islam. I’ll define that in more detail at the end of this column, but first let’s examine the proof that Obama is diminishing Christians while inflating Muslims.
It started in a speech he gave in 2007 when he stated, “Whatever we once were, we’re no longer a Christian nation.” At that same speech he criticized Christian leaders, claiming they have used their religion for political purposes.
I guess he thinks “Jihad” is a Christian word.
...
To further diminish American Christianity and inflate Muslim presence here, on June 1st President Obama told French television, “If you actually took the number of Muslim Americans, we’d be one of the largest Muslim countries in the world.” In his speech in Cairo today, he put the number of Muslims in America at 7 million.
According to the CIA World Factbook, there are only 1.8 million Muslims here. President Einstein miscalculated by almost 400%.
...
Obama has made no bones about his wanting to get on the good side of Muslim nations. He clearly has no reservations about diminishing Christians, consistent with Muslim “Dhimmi” tradition, to do so. Sadly, it’s a racist gesture.

True or False

Given

and
does

Java- no, you cannot drink it.

I just got the thumbs up for a fast paced six day Java class. In this course I will be teaching the students in such a fashion so they can take the Sun Java Programmer Exam (SCJP) (not the "bootcamp" method though). When done, students are encouraged to apply to local companies in the area that use Java (hence the concept of the course) and companies coming to the area; once the student has taken the exam. I've been working on this (with a local college) since last fall so it is nice to see it come to fruition; and hopefully lead to more classes or next level certification courses.

Summer Teaching

I'm looking forward to teaching pre-calculus this summer. I've been teaching some of the lower level math courses which has given me a re-found appreciation for more fundamental mathematics concepts; especially rational, irrational and prime numbers. What is really nice is passing on the passion of a known, new or learned concept to others - i.e. teaching. It will be nice to re-visit and pass on my passion for the next level and teach college algebra; matrices; and algebraic, exponential and logarithmic functions in the pre-calculus course.

Tracking Joy

With so many uncertanties in the world today and in life in general, the "what if's", "but's", deadlines, etc. can unfortunately creep forwards as we proceed through life's work and play and be used to dampen the feelings of Joy or Happiness that might be felt over an achievement or even over a momentary thought or feeling.
When we have a moment of happiness or joy, we need to make sure we do not follow it up with a dampening thought.
If we do not learn to recognize, allow ourselves to feel and hold on to the moments of happiness or joy, then when things get tough there will be nothing positive to hold on to to help you make it through the uncertain times. If you are religious, I suppose you can "look to God"; but I prefer to focus on something more tangible.

As an example, I was working this morning and quickly got a login procedure working in a large web application. It felt good when done; as how to best make it work was alluding me yesterday. I could have easily dampened the good feeling by thinking of how much more work there is and deadlines but I didn't. A few minutes later I had an email for a support issue that started yesterday. I resolved it in about an hour. It felt good. I could have dampened it by thinking about the entirity of the application that the support was needed for. But I didn't.
So Hopefully, I'm learning to Track the Joyous moments.

Well. Back to work and tracking the joy.

Numbers with 4

Every number between 1 and 100 can be created by combining 4's.
1= 4^0 (where ^ is "power". 4 to the 0th power)
2=(4+4)/4
3=(4-(4/4))
5=(4 + (4/4))
Note. There may exist more than one solution. For example, 5=4+(4^0) or 4+(4/4)
6=((4 *4) + (4+4))/4
...
Try some others.