Friday, April 25, 2008

Did You Cry In Darkness?

Did you cry in darkness? My empty Soul. A palette of blackness splashed upon a canvas of molten earth. One collides with the other. Two collide and make four. A path to a path to a path and again. Entwined in a cosmic embrace. Did you cry in the darkness? Did tears run down your face? Did they spill to the rivers and run to the seas? Did the four doors open and close. Trapping and releasing your fears and woes. Did the sun shine above clouded skies. Reflecting warmth into the abundant abyss. Oh world my soul, I have dreams for you. I have dreams of silver moon beams lost in the clouds above. I have seen the four doorways. In my mind I have seen them. Like four beasts they decend upon Earth. Infecting and cleansing at the same time. One gives birth while the other devours. A flow from life to death. A flow from time to space. A forward and a backward. A outward and an inward. An opening and a closing. I saw it all. I saw nothing. I saw tears run along the ridge of a smile. I heard laughter from a tormented child. I saw rain in burning fire. I saw flames in ocean water. The moon gave protection from the onslaught of falling debris. It was arranged. It had been declared that the Earth would give birth in exchange for tranquility. Chaos makes us. We are there, but only partially. The rest is somewhere else. Our bodies struggle with our minds. We are pinned between the here and now, as well as, the there and then. We were protected in the beginning, but we will have no protection in the end. The doors that were open will be the doors that are closed. The doors that were closed will be the doors that are open. What made us will take us, and what never gave will give. The missing life will live and the living life we'll miss. The doorways that decended in the beginning will acsend in the end. Two doors once open now closed and two doors once closed now open. Our toes become head and our head become toes. It was hollow. They thought it would fulfill, but It left us empty. The heart of man is greedy. The sky is never clear enough. The oceans never deep enough. It was arranged for us by them and it was given to us by them. We are water for a reason. Our bodies must quench our burning soul. We talk in dangerous tongues on the verge of treason. We dislike those who disagree. We pretend to be civil, while waging war in reality. We once stood together in robes of white. Singing songs of lament to our hearts content and doing what was right. But the doorways! Oh, the wretched doorways were decending into the Earth and taking with them the innocence of birth. It was so close. It nearly held us. It took all the hits that were ment to pelt us into submission and erase us. It was like a mother and loved us like a mother. But we were evil. Not in a conscious way. It came with us when we awoke. We were given dreams that reality could not fullfill. Not soon enough. Not at that time. We had arisen from peacful slumber as individuals to contentious malcontents as an unruly mob. We elected leaders that were bottom feeders. They played upon our emotions for personal reasons. We listened blindly as their power began to grow. Everything they knew they made sure we would never know. They drew up shadows from the ground and presented it as light. They cast a veil of darkness upon us and convinced us it was luminous. Light that did not shine? They had poured deceptive wine. We drank it and it was good. It turned us pink as an elephant. It made us feel relevant. But, the moon had lost its place. It slowly receded into space. But through our selfish motives we never noticed until it was too late. It took its soft silver and left a cold shiver that grinds and torments even to this day.

The Equivalence of Mass




All mass is affected by the curvature of space in the same way because all mass is equivalent. There are three kinds of mass, inertial mass, passive gravitational mass, and active gravitational mass. These three types of masses are equivalent. Inertial mass is the ability of a body to resist a change in motion. Passive gravitational mass is the reaction a body has to a gravitational field. Active gravitational mass acts as the source of gravity. It can be shown mathmatically that the three types of mass are the same, but Einstein showed through thought experiments that the three types of mass are the same. For example, imagin there are 2 elevators, one elevator is here on Earth under the influence of the Earth's gravity, and the other elevator is in deep space far from any gravitational field. If a ball with a certain mass is placed inside of both elevators, then the equivalence of inertial, passive gravitational, and active gravitational mass can be shown. An elevator in deep space with no acceleration will allow the ball to float above the floor where it was released. This type of mass for the floating ball is inertial mass, since it is not under the influence of gravity. An elevator on earth in free fall creates a situation that is identical to an elevator in deep space with no acceleration, allowing the ball to float above the floor where it was released. This type of mass for the floating ball is passive gravitational mass, since it is under the influence of the Earth's gravity. An observer in either elevator can not distinguish by observing the ball if the elevator is floating in deep space or falling down the elevator shaft due to the influence of Earth's gravity. In both cases, the inertial mass of the floating ball in deep space and the passive gravitational mass of the floating ball under the influence of the Earth's gravity, causes the mass of the ball to behave in an identical manner. Therefore, unaccelerated inertial mass and passive gravitational mass are the same. This equivalence of unaccelerated inertial mass and passive gravitational mass is known as the "Weak Equivalence Principle".
An elevator in deep space under an acceleration equal to Earth's gravity will cause the ball to fall to the floor after being released. This type of mass for the accelerated ball is inertial mass, since it is resting on the floor due to its resistance to a change in motion. An elevator sitting on earth creates a situation that is identical to an elevator in deep space accelerating with a value equal to Earth's gravity, causing the ball to rest upon the floor after being released. This type of mass for the resting ball is passive gravitational mass, since it is under the influence of the Earth's gravity. An observer in either elevator can not distinguish by observing the ball if the elevator is accelerating in deep space or sitting on the surface of the Earth. In both cases, the inertial mass of the accelerating ball in deep space and the passive gravitational mass of the resting ball under the influence of the Earth's gravity, causes the mass of the ball to behave in an identical manner. Therefore, accelerated inertial mass and passive gravitational mass are the same. This equivalence of accelerated inertial mass and passive gravitational mass is known as the "Strong Equivalence Principle".
Einstein did not have an explicit thought experiment relating passive gravitational mass and active gravitational mass, but by relating inertial mass to passive gravitational mass, then the equivalence of active gravitational mass can be implied. This relationship can be shown using Newton's third law: For every action there is an opposite and equal reaction. If two balls are placed near each other in deep space, then the mass of both balls will create an attractive force. If the mass of both balls are the same, then the mass of the first ball will attract the mass of the second ball by the same amount that the mass of the second ball attracts the mass of the first ball. This means that the attractive force of ball one is equal to the attractive force of ball two. Ball one's active gravitational mass creates an attractive force and ball two's active gravitational mass creates an attractive force. Ball one's passive gravitational mass is a reaction to the force of ball two's active gravitational mass, and ball two's passive gravitational mass is a reaction to the force of ball one's active gravitational mass. Since, by Newton's third law, the reaction must be equal and opposite to the action, then passive gravitational mass must be equal and opposite to the active gravitational mass. Meaning, bodies of the same mass attract and are attracted by the same amount, and therefore, passive gravitational mass is equivalent to active gravitational mass.

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The Equivalence of Mass

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The Equivalence of Mass