Tuesday, August 13, 2013

Getting to third base in one swing...


We can write dates in numerical shorthand; for example, January 1st, 1955 can be written as 01-01-55.  November 24th, 2323 can be written as 11-24-23.

Knowing this rule, then, what mathematical significance do the following dates have in common?

March 4th, 2005
June 8th, 2010
May 12th, 1613
September 12th, 1915
August 15th, 1817
December 16th, 2320
July 24th, 1725
October 24th, 1926


Hint: The significance is geometry-related...and here is the man responsible!



Friday, July 26, 2013

Dimensions

     One of the basic concepts of Geometry is the existence of the point. A point is not a thing; but a location. Each point has no length nor width - it is literally dimension-less. And moreover, there are an infinity of points, no matter how you limit the space in which you look. Inside a proton, or the entire Universe...you will find an infinity of points. In essence, a Universe of points.

     Each point, though dimension-less, is an entity entirely separate from all other points. Therefore, each point lies some measurable distance from all other points. This distance is most easily measured by a straight line. I can take any two points and create a line. Thus, I now can define this line by its length - and describe the first dimension. And thus, since there is a Universe of points, we can say there is a linear, one-dimension Universe as well.
     
     Now, I can take any three points and create a plane - a completely flat, limitless surface. It has no height (or thickness, if you wish), which is important. A creature who existed on such a plane would be able define his (or her) existence by two dimensions - length, and width. There theoretically exists an entire Universe of only length and width, comprised of a Linear and point Universes.

     Think back to Algebra; we learned how to locate any point on a piece of paper, which is as close as we can approximate a plane. On a plane every point has a location (x,y). That just means go over x, and up y. If you asked me how to get to the store, I would give you some variation of these directions. 

     But the second dimension is too limited for our existence. Everything in our Universe is defined by three dimensions - length, width and height. And our Universe is again comprised of a planar Universe, a linear Universe, and a point Universe. 

     Now consider this: any creature who existed on the point dimension would have no ability to conceive of the existence - or even the possibility of - a life on the line which connects his point to another creature living on a separate point. 

     Furthermore, a creature on the line world could not be equipped intellectually to understand that there is a completely different world outside of his one-dimension world. 

    Continuing in that vein, a creature living on the two-dimensional surface world could not comprehend life here in the third-dimension. To him, as we pass through his second dimension, he could only recognize that a point appeared from nowhere, grew in size, diminished in size and finally disappears - with no notice. To his conception, we were created, existed, and then suddenly "died". Which of course isn't true; our existence in the third dimension is independent of - and higher than - a two-dimensional creature's ability to grasp. But that doesn't change his perception - we died in his world.

      A creature on the first dimension could create a shadow, which could darken the point Universe along its entire length, though the point creatures would have no concept of why their existence has mysteriously darkened. And a creature on a plane would cast a shadow as he moved through the linear Universe - again, leaving the linear creatures baffled by the sudden appearance/disappearance in their existence. 

     On a sunny day, you can stand outside and create a shadows on a piece of paper. Any planar creatures would be terrified and in awe. Yet, they couldn't explain it no matter how hard they tried - they simply aren't capable.

    Which brings me to this point - what reason do we have to think that our Universe is the final in this series? Science has tried so hard to explain our existence by using three dimensional facts, yet really, most of what we take as scientific fact studiously tries to discount any possibility of some One greater than ourselves, that we simply can't comprehend. And it must be said that theology has a history of silencing any considerations that take corrupt worldly power from the equation. See Copernicus...

     Yet, without a doubt in my mind there simply is more; it is actually silly to think otherwise. Look at what science tells us; our 3D Universe simply popped into existence - like the 3D creature passing through a plane. We are born, become aware that we exist, then suddenly and inexplicably disappear. Where to? And why?  I would think that science would be excited to inquire about such a possibility.

     Is it possible that we are only shadows of another higher life - a Being on a higher dimension? And if so, what is wrong with acknowledging that life as God? 

    My wife lost a friend today; and though we can be sad that she has popped out of existence here, I myself am comforted by the fact that there is a Universe, possibly an Infinity of Universes, that I can't conceive. And in which all we see as temporal is, in fact, eternal. 

     Ma salama, Doli!

Monday, July 22, 2013

Time


        Monday, July 22, 2013 at 2330...I got to school this morning at 6:45, and for some reason, things were really dragging.  I taught two classes, and thought that lunch time was closing in. But I looked down at my watch and it was only 9:30! Has that ever happened to you? I said to myself that time was standing still. But what does that mean?

         Well, I started thinking about what it would mean for time to actually stand still, and how to do it. So I came home and looked into it.



         I found that time actually isn't a concrete concept. Time depends on speed. Not like meth, but velocity. If I was standing still in my class watching the clock and someone else passed by me, we would be seeing a different time. And the faster he went, the slower he would be experiencing time as compared to me. Eventually, as he reached the speed of light, he would literally stand still in a time sense. He'd never get lunch.

         Of course, the problem is that velocity requires energy. For him to walk past me, will require him to eat something to give him the energy to do so. And for him to increase his speed past his own ability to walk, it will require more energy to increase his speed. And energy requires more weight. And the more weight, the more propulsion required to move that weight. And the more weight, the more energy...and so on and so forth.

         What happens is that at the very speed of light, he would require an infinite amount of propulsion. And to get an infinite amount of propulsion, he would require an infinite amount of energy. And energy, being derived from an object, would weigh an infinite amount.

         What is infinity? Infinity is not what we normally think of - no matter what I think of you, I can't love you infinity times 7. Because infinity is not a number - it is a concept. It implies limitlessness. This can be on a grand scale, like the universe; or on a impossibly minute scale, like in an atom. You can't add or subtract or multiply or divide infinity, yet it exists.  But at the same time, it is beyond our ability to comprehend.

         So, next time, I will just wait for my lunch. It may seem like it's taking forever, but I can be assured it isn't. Ciao!

Sunday, July 21, 2013

Communion


Sunday, July 21, 2013 at 1900...I live with a family here in Costa Rica - the family Hernandez. Emilia, the matriarch, and her three adult children, Aksana, Lindsey and Eric. Emilia has been so nice to all of us - there are three other student teachers working here in Costa Rica beside myself - Adrian, the music teacher, and his wife Roxanne from Bozman, MT; and Alex, the new arrival. Alex is a Spanish teacher from Bellingham, WA. I'm old enough to be most everyone's Dad, but they don't treat me that way. We all live in the same house. Pretty crazy...

      This morning, Emilia invited us to join her, Aksana and her friend Siioni for a trip in the countryside. Her friend has a friend who has a friend who owns a coffee plantation in the Terrazu valley and this was our kind-of ultimate destination. (If you ever get a coffee at Starbucks or Whole Foods that is a Costa Rican coffee, chances are this is where it was grown.) We packed up and headed out for the drive at 8 am. A quick snack on the road at a cool roadside café, and then we met up with two more new













friends - Alejandra and Luis. Alejandra is a Costa Rican student teacher learning to teach English; Luis is her little brother. So now, the eight of us were out on the road for adventure. 

         We got to Santa Maria - in the beautiful mountains on the way to Panama - about two hours later. We met Walter, an awesome farmer who lives in the area, and he welcomed us into his rustic paradise with a great homemade breakfast and conversation. After a fantastic meal, he invited us to take a walk in the jungle area around his farm - it is full of all kinds of mushrooms, and we went on a photo hunt. After a month in the city, it was so refreshing to breath clean cool air, and walk in the silence of the tropical forest. It was such an impromptu genuine and fun  experience, to be invited into a person's house and made to feel welcome like that. 

      After an hour or so of walking through primal forest, we got to a cabin that he built with a beautiful little pond in the woods. We all sat and enjoyed the tranquility like we were the best of friends. He shared fresh papaya and bananas with us. Then, we went back to his farmhouse, bade the farm farewell, and took off to find the coffee plantation. 

         But in the meantime, it began to rain heavily, so we decided to forego the tour and instead just enjoy a cup of coffee at the cafeteria in front. This isn't what you think in the States; in Spanish, "-eria" means a place that you get whatever the prefix says. And in this case, it was coffee. And the best coffee you have ever tasted!  This was absolutely fresh from the plantation, just roasted and served coffee. The most amazing flavor. I bought 2 pounds (and more) of the plantation coffee - all for 10 dollars.  We sat around the table, talking about whatever came up. It was so relaxing. 

         After about an hour, we loaded up again, and took an off-the-beaten-track tour of the area to head back to Tres Rios. We went through Santa Maria, San Carlos, San Ramon, San Isidro - the area is called the Zone of the Saints for a reason! We got to Alejandra's house and we were invited in by her mother - who cooked up fresh cakes, and served more coffee and more conversation. Alejandra gave us a tour of her home, and again, we had the best time. When we left, the Rojas family sincerely told me that should I ever want to come and spend the day again, "mi casa es su casa". And they really meant it. They stood at the front door to wave goodbye to us...

         And so we headed back home. And it made me think about how little we communicate in the States. Twice today, I was invited in to strangers homes, and made to feel like family. There was no distance at all; and that is, in large part, missing back home. It's not just here; when I was in Croatia, it was the same thing. Strangers open their doors for you and will give you their last bit of food - because you are a friend. In the US, I don't know what happened to that sense of friendliness - but I know for a fact that most Americans, myself included, don't normally welcome strangers into our homes and invite them to be part of the family. Hell, we don't usually do that for our own family.  I hope that when I return to California, I will try and remember how it feels to be welcomed in to someone's life freely. And I will try and bring that sense of communion to those I welcome into our home.

Saturday, July 20, 2013

Pura Vida!

         Saturday, July 20, 2013 at 1500... as I lay in the grass in San Jose's Parque Espana this afternoon, sipping a cold Cerveza Imperial and eating fresh Mamones Chinos, reading Rueben Dario's "Azul", a book that is written so beautifully it was bringing tears to my eyes, I suddenly had to stop and ask myself - how the hell did I get here? I mean, what did I do to have such an awesome life? I haven't had a "job" in 7 years. The very few who really know me, certainly realize how unlikely this has seemed to be at many times in my life.   

         Yet, here I am...and I realized, that I have done nothing to deserve this more than anyone else. The only thing that I have going for me is simply luck. My life has been about nothing more than being at the right place at the right time - and being lucky enough to see the opportunity before I missed out. That is it. I was just thinking about how true that is.
    

         I started thinking about how my life luck has run so far. I've jumped many times out of airplanes and helicopters - and on my final jump, I had the most beautiful landing. Then, I got up to see a 12 foot pole sticking out of the ground right next to me.

         I've had rockets, mortars and bullets fall all around me, and friends killed and maimed - yet I've remained virtually unscathed. 

         I've driven a vehicle into enemy territory like a mad-man - in front of a Serbian anti-aircraft battery - to recover a very sensitive piece of equipment from falling into enemy hands...in broad daylight. And not a scratch. 

         I've ridden into Belgrade during wartime on a bus with Jesse Jackson, and conducted 3 imprisoned US soldiers out of captivity - and sung "Free at Last" holding hands with the Man himself at the Croatian border. I had President Clinton's direct line on my cell phone recent calls list that day...

          I've jetskied with Qusay Hussein's mistress holding me tight in Pattaya Bay, and dined with one of Saddam's most senior generals in Bangkok - under the nose of the Iraqi Mukhabarat.   

           I was given a personal tour of Khufu's pyramid, just because I translated for the Minister of Tourism, and told him I really would like to see the Pyramids. 

           I was assigned a mission to deliver a piece of equipment so critical that it held up the bombing of Afghanistan; and as a result, I was able to spend 3 weeks in Diego Garcia - a real paradise - because there were no flights back out because of the mission schedule.  

            I've had an engine blow up on my plane and fall off during take off, and watched the fire right next to my window seat, and figured out why people pray on a plane - and I realized that at those moments, there isn't panicked screaming, but an unbelievable meditative silence.

            In my bad old times, I'd driven drunk so many times that I couldn't even imagine to count for you, but the ONLY time I was pulled over, it was by my best high-school friend, who just drove me home!   

           And I didn't get any of these miracles through any other thing except plain, old luck. Bad thing is that I will never know when my inordinate luck will run out, until it runs out.

           So, I think I will spend the rest of today thinking about the graces I have had in my life, and not think a thing about any problems in the world. And finish my cerveza, eat my fruit and get back to Azul.  What do you have to be thankful for?