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Saturday, December 20, 2014

DENSITY OF STATES IN 4-DIMENSION-

These three terms Density, States & Dimension are meant to be clear for the fellow readers before proceeding. We all know that the term Density means mass per unit volume, State refers to the form of existence & Dimension refers to the size specification of the space in which we live. There are 5 existing states and 16 existing dimensions (only 4 known). The 4th dimension of the space is known as "Time". Time is a non- physical dimension which measures the existence of the universe in a prolonged way. Mathematically it is a scalar quantity which means it has no direction. Although, Feynman Diagrams suggests that it has direction from the past to the future. Stephen Hawking mentioned that time flow is like a double conical structure consisting of two cones whose tips are joint at a single point called the "present light cone". The bases of the bottom cone is known as the "past light cone" and the top cone is "future light cone".

The term "Density of States" is the number of  k-states (wavenumber) per unit volume for a 3-D structure, per unit area for a 2-D structure and per unit length for a 1-D structure. But what do we mean by Density of States in 4-D?? Most of you must be thinking that it is the number of k-states per unit second as time is the 4th dimension. But it is not that.

It is the number of k-states per unit sum of all the volume of the state and the time because mathematically time is a scalar and a non physical quantity as mentioned. The E-K relationship obtained is dependent of time which means Dirac's relativistic equation may not be required to yield the solution the density of states. This may reduce the complexity in the condensed-matter community providing a simple way to show the interaction of electrodynamics , Quantum Mechanics and Statistical Physics with time which may lead us to reveal the mystery of the universe. In other words the "Grand Unified Theory".

Saturday, December 13, 2014

SCIENCE BEHIND INTERSTELLAR-

We saw the movie interstellar with utmost interest. But there were some logic as well as flaws in the movie. When humanity was coming to an end on earth Dr. John Brand sends his daughter Amelia Brand, N.A.S.A pilot Mr. Cooper and co to a wormhole near Saturn to explore into it and seek for a planet having similar conditions to that of earth. A Metaphysical term worm hole is a hypothetical hole through which a person can travel to any part of the universe with an ease. These are known as Einstein-Rosen Bridge. In the planet Gargantua as we all saw that 1 hour in that planet equals 7 long years in earth. That is nothing but Gravitational Time dilation a special phenomena of Special Theory of Relativity.  The ocean waves in that planet appeared gigantic and moved slowly cause the gravity was enormously weak by which the height of the waves increased (potential energy g=k/h). This weak Gravity boosted the time and Amelia was able to walk at the surface of the ocean with TARS.But that was somehow violated showing the gravity of Gargantua as 140% that of earth. Anyways fiction is unpredictable in some extents.

No ageing occurs in space that is why Mr. Cooper became 145 years in the end. This phenomena is called paradox occurs due to slowing of time by the exposure of gravity.Hibernating in the space shuttle endurance was somehow fasicnating but this is possible by the means of plasma the 4th state of matter.

In Mann's planet the fight scene,explosion of space shuttle which took place was similar to the incidents that happened in Tom Coopers farm. This is what is known as parallel universes. Telapathy do occur in any part of this vast universe in any form.

There were some defects which made the movie somehow fiction. Mr. Cooper felt in that blackhole with the robot TARS and survived was able to see his daughter's childhood , repetition of past from where he started the journey. He found a way to communicate with his daughter Dr. Murphy Cooper by the means of a watch given by him in the start of his journey using gravitational waves of the black hole into Morse code by the robot. This was completly absurt nothing can surpass the event horizon of a black hole nor even light due to its super strong gravitational field. A practical example of the phenomenon that occurs in a black hole is a cannon ball trying to escape from a hollow arsenal but it cannot due to its super strong gravitational field as a result it starts oscillating. The oscillation causes cannon ball to deploit steadily as a result of the heat produced. There is no way to escape a black hole. Mr. Cooper along with TARC must have been shattered into pieces.

Tuesday, December 9, 2014

THE FUTURE OF THE PAST








THE FUTURE OF THE PAST-

We are living in a world with such a technology that our forefathers have not thought even in their dreams. The fate of the future lies in the hands of two important keys which we cant even think practically in reality. They are Nanotechnology and Artificial Neural Networking. The combination of  these can take a step beyond imagination. The things that have been shown in the movie Transcendence is not that fiction . Some of the ideas that can be generated are as follows-

  1. Any neural network follows an equation- y= wx+b where y is the output, x is the input of a single neuron if summed with the output of every artificial  neuron to produce a master output Y.
  2. This master output Y is feed forwarded to the nanobots (tiny robotic structure programmed by  any high level language which have a size of (10^(-9)m<) that can be equal to the size of the cell).
  3. These nanobots get the input Y and performs the task such as regeneration of dead cell, removing viruses from the body etc etc. according to the programmer's source code and produces an output N. The output N is retrieved in the computer screen and Discrete Fourier transformed.
  4. We know that every control system has a feedback so these nanobots are provided with the means of artificial intelligence . Fuzzy logic/ ANN itself can be a useful resource in providing feedback.
  5. Error can occur in any system which can be reduced by some calibration techniques. Although there are no such ideal systems which can exist and can be free of errors. Error can be given by- e=Y-N  .
  6. Each and every task  performed by the nanobots are displayed in a Computer which can act as both the transmitter and the reciever of the artificial neural signals.
 This the biggest challenge for the human race and if we can achieve this we are simply going to make a "GOD".

Science over Religion: ETERNITY OF EQUATIONS-The whole world or even ...

Science over Religion:

ETERNITY OF EQUATIONS-

The whole world or even ...
: ETERNITY OF EQUATIONS- The whole world or even the Universe can be governed by a single masterpiece that is a set of equations. That ...

Science over Religion: ETERNITY OF EQUATIONS-The whole world or even ...

Science over Religion:

ETERNITY OF EQUATIONS-

The whole world or even ...
: ETERNITY OF EQUATIONS- The whole world or even the Universe can be governed by a single masterpiece that is a set of equations. That ...

ETERNITY OF EQUATIONS



ETERNITY OF EQUATIONS-

The whole world or even the Universe can be governed by a single masterpiece that is a set of equations. That is what Albert Einstein thought after publishing his paper on General Theory of Relativity in the year 1915.  He thought of the combination of all the basic forces governing the nature into a single equation that is what to be known as the "Grand Unified Theory". But, unfortunately he died in the year 1955 with a half scribbled set of equations which no one understood till now. Although at present the eternity of these equations are being searched by all the physicists and the mathematicians. This seeking of these equations divided the physicists into two major fraternity. Theses fraternity are String theory and the Quantum Loop Gravity(Q.L.G) where Gravity playing a major role in these fraternities. String theory believes the absence of Gravity whereas Q.L.G in the presence of Gravity.