Friday, May 6, 2011

ECCENTRICS

It is important to note that every major advance in physics is preceded by the work of an Eccentric. This is a living document, since new Eccentrics appear all the time. In my list of eccentrics I have not included the Eccentrics that turned out to be Geniuses (Newton and Einstein come to mind).

Psychologist Dr. David Weeks mentions people with a mental illness "suffer" from their behavior while eccentrics are quite happy. He even states eccentrics are less prone to mental illness than everyone else.

According to studies, there are eighteen distinctive characteristics that differentiate a healthy eccentric person from a regular person or someone who has a mental illness (although some may not always apply). The first five are in most people regarded as eccentric:
  • Nonconforming attitude 
  • Idealistic
  • Intense curiosity 
  • Happy obsession with a hobby or hobbies 
  • Knew very early in his or her childhood they were different from others 
  • Highly intelligent 
  • Opinionated and outspoken 
  • Unusual living or eating habits 
  • Not interested in the opinions or company of others 
  • Mischievous sense of humor 
  • The eldest, only child, or youngest boy.
NOTABLE ECCENTRICS:

Richard Laming (c. 1798–May 3, 1879): A British Eccentric, Richard tested and was accepted as a surgeon by the Royal College of Surgeons.  He established a practice in London and worked until 1842.  Surgeons of the 1800's were sometimes a little sketchy.  Known more for how fast they worked (no anesthesia) the surgeon was an iffy profession.  Richard appeared to try to do his best, and studied in Paris, France for several years.


More importantly, Richard fancied himself as a natural philosopher.  During his leisure moments, Richard developed an interest in the theory of electricity. Between 1838 and 1851 he published a series of papers speculating about the electrical makeup of atoms. He hypothesized that there existed sub-atomic particles of unit charge; perhaps one of the first persons ever to do so. He suggested that the atom was made up of a core of material surrounded by concentric shells of these electrical 'atoms', or particles. He also believed that these particles could be added or subtracted to an atom, changing its charge.


It wasn't until 1909-1913 that Richard was proven correct by Ernest Rutherford and Neils Bohr.


Henri Poincaré (29 April 1854 – 17 July 1912):  A well respected mathematician and scientist at the time, Henri Poincaré developed and published the Theory of Relativity in 1904, the year before Einstein published his paper.  Einstein, later in life, acknowledged that Poincaré as the pioneer of Relativity.  While not the best example of the Eccentric, Poincaré's views and responses to Einstein's theft of the Relativity Theory give him honorable mention in the roles of Eccentrics.

William Gilbert  (24 May 1544 – 30 November 1603): After playing around with his toy model earth, he concluded that the Earth was itself magnetic and that this was the reason compasses point north (previously, some believed that it was the pole star (Polaris) or a large magnetic island on the north pole that attracted the compass). He was the first to argue, correctly, that the centre of the Earth was iron, and he considered an important and related property of magnets was that they can be cut, each forming a new magnet with north and south poles.


Isaak Yudovich Ozimov  (1920 – 6 April 1992):  There is no telling what the power of science fiction has been on the actual progress in science fact.  We do know that after 500 books and numerous other short writings, Isaac Asimov has helped to shape our world view of science.  The Oxford English Dictionary credits his science fiction for introducing the words positronic brain (an entirely fictional technology), psychohistoryand robotics into the English language.  I would personally be insulted if the "Three Laws of Robotics" were not required for the first sentient robots.


Isaac Asimov may also have given us the answer to the heat death of the universe and a way to reverse entropy in the "The Last Question".


David Joseph Bohm (20 December 1917 – 27 October 1992):  David Bohm obtained his doctorate degree while with the theoretical physics group under Robert Oppenheimer at the University of California, Berkeley.  David actually was not allowed to defend his thesis, because it was used by the Manhattan Project and immediately classified by the FBI.  To satisfy the university, Oppenheimer certified that Bohm had successfully completed the research.  As a post-graduate at Berkeley, he developed a theory of plasmas, discovering the electron phenomenon now known as Bohm-diffusion.  After the war, Bohm became an assistant professor at Princeton University, where he worked closely with Albert Einstein. In May, 1949, at the beginning of the McCarthyism period, the House Un-American Activities Committee called upon Bohm to testify before it— because of his previous ties to suspected Communists. Bohm, however, pleaded the Fifth amendment right to decline to testify, and refused to give evidence against his colleagues.  Princeton suspended him and he eventually left the United States in the early 1950's.


Bohm became dissatisfied with the orthodox approach to quantum theory and began to develop his own approach (De Broglie–Bohm theory) - a non-local hidden variable deterministic theory whose predictions agree perfectly with the nondeterministic quantum theory. Before an understanding of decoherence was developed, the Copenhagen interpretation of quantum mechanics treated wavefunction collapse as a fundamental, a priori process. Bohm's theory provides an explanatory mechanism for the appearance of wavefunction collapse.


Any Pure Mathematician (You can find them anytime); Broadly speaking, pure mathematics is mathematics which studies entirely abstract concepts. From the eighteenth century onwards, this was a recognized category of mathematical activity, sometimes characterized as speculative mathematics, and at variance with the trend towards meeting the needs of navigation, astronomy, physics, and engineering - the applied sciences. “There are three kinds of mathematicians; those who can count and those who can't.”

“Relations between pure and applied mathematicians are based on trust and understanding. Namely, pure mathematicians do not trust applied mathematicians, and applied mathematicians do not understand pure mathematicians. Since the mathematicians have invaded the theory of relativity, I do not understand it myself any more." -- Albert Einstein.


"Mathematicians are like Frenchmen: whatever you say to them they translate into their own language and forthwith it is something entirely different." -- Johann Wolfgang von Goethe

Pythagoras (c. 570–c. 495 BC); Now here was a nut job.  He founded a religion worshiping math.
Godfrey Harold Hardy (7 February 1877 – 1 December 1947); Hardy felt only pure mathematics to be worthy, he once said that general relativity and quantum mechanics were "useless", and only fit for engineers.
Ramanujan (22 December 1887 – 26 April 1920); Mostly self-taught, during his short lifetime, Ramanujan independently compiled nearly 3900 results (mostly identities and equations). Although a small number of these results were actually false and some were already known, most of his claims have now been proven correct.


Benjamin Franklin (January 17, 1706 [O.S. January 6, 1705[1]] – April 17, 1790); Ben Franklin was referred to in his day as a 'polymath'.  You can read that as 'eccentric'.  Franklin was a leading author and printer, political theorist, politician, postmaster, scientist, inventor, satirist, civic activist, statesman, and diplomat. As a scientist, he was a major figure in the American Enlightenment and the history of physics for his discoveries and theories regarding electricity. He invented the lightning rodbifocals, the Franklin stove, a carriage odometer, and the glass 'armonica'. He formed both the first public lending library in America and the first fire department in Pennsylvania.

Monday, May 2, 2011

THE OBSERVER

The Protium Atom under scrutiny.

According to the Heisenberg Uncertainty Principle, there is a limit to the amount of information that you can define for a quantum particle.  The more precise you measure one attribute, the less you know of the other. This established the concept of  complementarity as one of the basic principles of quantum mechanics.  Niels Bohr maintained that quantum particles have both "wave-like" behavior and "particle-like" behavior, but can exhibit one kind of behavior only under conditions that prevent exhibiting the complementary characteristics. This complementarity has come to be known as the wave-particle duality of quantum mechanics.

In the double-slit experiment, the common wisdom is that the Heisenberg Uncertainty Principle makes it impossible to determine which slit the photon passes through without at the same time disturbing it enough to destroy the interference pattern.

There have been many experiments trying to circumvent the issue of disturbance due to direct measurement of a photon.  The delayed choice quantum eraser experiments "found a way around the position-momentum uncertainty obstacle and proposed a quantum eraser to obtain the 'which-path' or particle-like information" without disturbing the wave function.  They could then choose to 'see' the path that the particle took later, or erase it.

It was found that there is no interference pattern when which-path information is recorded, even if this information was obtained without directly observing the original photon, but that if you somehow "erase" the which-path information, an interference pattern is observed.  The total pattern of signal photons at the primary detector never shows interference, so it is not possible to deduce what will happen to the idler photons by observing the signal photons alone, which would open up the possibility of gaining information faster-than-light (since one might deduce this information before there had been time for a message moving at the speed of light to travel from the idler detector to the signal photon detector) or even gaining information about the future (since as noted above, the signal photons may be detected at an earlier time than the idlers), both of which would qualify as violations of causality in physics.

This has lead many to remark that the observer is somehow important to the results.  This gives the observer some control over reality, or implies that reality can not exist without the observer (tree falls in the forest concept).  The conciousness causes collapse interpretation attributes the process of wave function collapse (directly, indirectly, or even partially) to consciousness itself.

The other important weirdness to note is that time is somehow held in suspension until the observation is made.  This is most graphically shown by quantum entanglement.  Entangled particles can be at opposite ends of the universe and still 'pass' information to the entangled twin. These particles are entangled in space-time, meaning that they are also entangled in time, according to S. Jay Olson and Timothy C. Ralph of Australia's University of Queensland.  The time component may play a larger role in understanding the quantum process than previously thought.  The entangled particles may be linked in time, rather than through space.

Thursday, April 28, 2011

TIMENSIONS

The spacial dimensions are easy to visualize.  Cartesian Coordinate System  (credited to René Descartes) in three-dimensional space is an ordered triplet of lines (axes), any two of them being perpendicular; a single unit of length for all three axes; and an orientation for each axis. Each axis becomes a number line.

To get from one location to another in the same coordinate system all I need is a direction and distance (vector). In the Cartesian Coordinate System, a vector can be represented by identifying the coordinates of its initial and terminal point. For instance, the points A (x1,y1,z1) and B = (x2,y2,z2) in space determine the free vector AB

I intuitively understand and live in a four dimension universe, but for the life of me I can not visualize four dimensions.  But when Susan asks me to meet her somewhere, I get a coordinate for all four of those dimensions (i.e., corner of Brambleton Ave.(x), and Monticello Ave.(y), on the third floor of the old post office (z), at 2:15pm (t), which I promptly forget.  The path I take to get there is not a straight line.  Of course, if I wanted to go from Earth to Mars, then my starting point and my destination move through time and space during my travel interval (requires a little more planning, but still within my Newtonian grasp).

But if I wanted to go see Abraham Lincoln give the Gettysburg Address, then I would need some serious coordinate help.  If I went to Gettysburg, Pennsylvania, I would miss the speech by about 53,861 days.  Not only that, but since the Milky Way Galaxy moves at about 600km/s, Earth has shifted about 2.7 trillion km towards the Great Attractor.  Luckily, Einstein gave us a spacetime coordinate system, so that I can find my way.

A Particle also inhabits a portion of spacetime.  A particle such as a photon 'ocillates', and this action exhibits itself as a frequency.  The frequency of a photon determines its nature.  The electron in the Protium atom 'orbits' the proton (inhabits an electron shell).  The Protium electron has a velocity that is relativistic and should exhibit time dilation, etc.

The  Protium electron oscillates through a field around the proton.
(Simplified in two dimensions)
The electron orbit exhibits a sinusoidal pattern as it moves through time.



Quantum physics tells us that the particle exhibits a wave-particle duality.  There is no reason to doubt that it is a particle of matter, so something else is going on.  The particle has been dimensionalized (phased), and exists in folds of time dimensions.  The particle sets up a wave pattern of 'probabilities'.  They are real, but are called probabilities because they can 'collapse', or dephase, to a point particle when required (Quantum Decoherence).  Decoherence occurs when a system interacts with its environment in a thermodynamically irreversible way.   The timeline that will define our view of the present depends on how we slice the spacetime diagram.

Tuesday, April 26, 2011

STUFF

THE STUFF THAT STUFF IS MADE OF


Time (what we observe) - a physical quantity that we use to sequence events, and compare intervals between them. Time is also used to define the a of change to quantify motions, work, and force.
Time (what it is) - Time is still not fully understood.  The best predictive models define time as a structure, and is an element of the space-time continuum.  Another model of time holds that time is the geometry of energy, mass, and space.  This implies that 'the present' is the expanding event horizon of an entropy wave (a projection or holographic representation of the workings of the universe), 'the past' is collapsed quantum probabilities, and the future is the steady progression from an ordered to an unordered structure.
Energy (what we observe) - is a quantity that is often understood as the potential of a physical system to do work on other physical systems.
Energy (what it is) - energy arises from conservation of momentum (4-momentum in relativity and momentum of virtual particles in quantum electrodynamics). The conservation of momentum, can be directly derived from homogeneity (=shift symmetry) of space and so is usually considered a fundamental driver of a force.  Some predictive models (i.e., superstring) present fundamental particles (force carriers) that are the purveyors of energy.
Speed of Light- a physical constant, usually denoted by c, and is the maximum speed of the universe. Mathematically it is a vector in one dimensional space equal to one Planck length divided by one Planck unit time.
MassMass is physical representation of energy through time and space. All types of agreed-upon matter exhibit mass, and many types of energy which are not matter—such as potential energy, kinetic energy, and trapped electromagnetic radiation (photons)—also exhibit mass.

Space - (Free Space or Vacuum) - Three dimensional space with no matter. Space and time are closely linked and may be manifestations of the same fundamental construct or geometry.
Matter - has mass and occupies volume (three dimensional space).

THE FORCES THAT MAKE STUFF WORK

Electromagnetism - Electromagnetism is the force that causes the interaction between electrically charged particles.
Gravitation - the force that generates between bodies with a force proportional to the mass.
Strong Interaction - the force that binds the nucleus of an atom together.
Weak Interaction - the force that causes radioactive decay and fusion.



INTERESTING STUFF
  
Hydrogen - The most abundant element in the universe appears to be the hydrogen atom. Hydrogen in its most common isotope, protium, has one proton and an electron.  Niels Bohr predicted a model of the Protium atom with an electron with a stable orbit at a set energy state.  The Bohr model is highly predictive for a system where two charged points orbit each other at speeds much less than that of light, like Protium.

Stylized Bohr Model - Protium Atom

The Protium atom is incredibly small, and we have never seen one.  The things that we believe about atoms come from predictive models that have been developed, and then tested, based on observed behavior of interactions.  

Between 1838 and 1851 Richard Laming, a British surgeon and natural philosopher, hypothesized that there existed sub-atomic particles of unit charge; perhaps one of the first persons ever to do so. He suggested that the atom was made up of a core of material surrounded by concentric shells of these electrical 'atoms', or particles. He was considered as an eccentric. 

A working mathematical model of the atom started developing in the late 1890's and early 1900's. Working with the Ernest Rutherford model derived from the Geiger–Marsden experiment, Niels Bohr developed a quantum physics-based modification of the Rutherford model.  The Bohr model is highly predictive for the protium atom, a single positively charged proton and a negatively charged electron orbital, and related the lines in emission and absorption spectra to the energy differences between the orbits that electrons could take around the atom.

The stylized Bohr Model shown above is the visual representation of the atom that most of us still connect with what an atom looks like (it probably doesn't).  However, it is important to note that if the protium atom were expanded to the scale of the above picture, neither the proton or electron would be visible.  The matter in a protium atom is tiny in comparison to the space it takes up (0.000000000000119%, give or take a decimal or two).

 

Photons - the photon is an elementary particle and has no rest mass and will not decay spontaneously.  The photon can be emitted/absorbed by an atom in transition to a lower/higher energy state, matter/antimatter annihilation, and other energy transitions.  The photon is often described as an energy packet and force carrier for the electromagnetic force.
ElectronsIn the Standard Model of particle physics, electrons belong to the group of subatomic particles called leptons, which are believed to be elementary particles.
Wave Function Collapse Particles, like the photon, can exhibit a wave-particle duality. They are particles, but until they interact, they act like waves. While not main-stream physics, there are theoretical models using Eigenstates of time to yield a solution to this dilemma, showing that the time vectors can set up an interference pattern, but on collapse pinpoints a specific time vector with the particle observed.  All time vectors are equally real until collapse at a point.  Continuous observation of a portion of the field can truncate the wave equation.





Sunday, April 24, 2011

WHERE DID THE TIME GO?

Time dilation, as predicted by the Theories of Relativity, is an observed difference of elapsed time between two observers which are moving relative to each other. Say Alex is running very fast with relation to Dana. Alex and Dana will both report back to us that light speed is 186,000 miles per second, and they will both tell us that a beam of light will take the same time from their position to reach point A.


However, Dana will report that Alex's clock is moving very slow, and Alex will report that Dana's clock is moving very fast. Alex will not agree with Dana with regard to the distance from her to point A, and vice versa. To Dana, not only does Alex appear to be moving slowly, but his distance measurements are shorter than hers due to length contraction. Dana and Alex will not always agree on the order of events, so that the relative past and future will not be the same (Relativity of simultaneity).

It is important to tell yourself again that for each observer, the speed of light, time measurement, and distance calculation (amount of space between points) remains the same. So if there were a continuous change to our relative time position, our perception of time would remain consistent, and it would not be noticeable.

Friday, April 22, 2011

ENTROPY

Entropy.  There is a unique connection between time and the second law of thermodynamics.  Entropy is the only quantity in physics that implies a progression - the arrow of time - that leads from now to then.  As time passes, the 2nd Law states that the entropy of an isolated system never decreases.  You could look at entropy as a kind of clock.  The 2nd Law usually implies a loss of heat, or energy, in a system.  You can't make a perpetual motion machine because of the 2nd Law.  But perhaps, if you look at that wild idea of time slowing down - then entropy is more a measure of the time dilation than a loss of energy.


The implication is that the 2nd law pulls us through time.  In Albert Einstein's theories of relativity, time dilation occurs when two observers are in relative uniform motion, one clock appears to move slower than the other.  If we are changing relative position through time, the Lorentz transformation describes how, according to the theory of special relativity, two observers' varying measurements of space and time can be converted into each other's frames of reference. It is named after the Dutch physicist Hendrik Lorentz. It reflects the surprising fact that observers moving at different velocities may measure different distances, elapsed times, and even different orderings of events.


Not such a huge leap to see time as the movement from one relativist point to the next!  Hey, what's the probability of that?  Continuous time evolution of an isolated system that obeys Schrödinger's equation (or Dirac's equation) involves the collapse of the wave function.  Entropy, and the expansion of space, may be the relativistic expression of the 2nd Law.

Thursday, April 21, 2011

WHAT IS TIME?

Time is a difficult concept to wrap your head around. We intuitively feel it passing; we can say that time flies, or crawls, or seems to stand still. It can be wasted, squandered, and it can somehow be something on our hands. But what is it? Does it flow like a river? Does it slip like the sand through an hourglass? It certainly never backs up for me. So we sense that time has an arrow, pointing from the past to the future.

However, the laws of physics do not forbid time from 'flowing' backwards. Time symmetry holds for many of the classical variables, including;
  • Position of a particle in three-space 
  • Acceleration of the particle 
  • Force on the particle 
  • Energy of the particle 
  • Electric potential (voltage) 
  • Electric field 
  • Electric displacement 
  • Density of electric charge 
  • Electric polarization 
and others. As a matter of fact, the classical variables that are sensitive to time reversal are those that clearly have a time component built into them; such as, power (rate of work), velocity, and angular momentum.

Arthur Eddington, who coined the arrow of time terminology, concluded that as far as physics goes, the passage of time is merely a property of entropy (more on entropy later). So what is time? The answer is usually two parts philosophy, and one part 'it just is'. Clearly time is needed to get something from here to there, and the passage of time itself is a form of movement that carries us from now to then. From Isaac Newton's aether, to Albert Einstien's space-time continuum, time and space are necessary components of the basic laws, but are never really defined. Is time a something? Is it made out of smaller bits of fundamental goo? What is space? If it is expanding, can it be compressed?

Clearly it is important to our consciousness that time move in one direction, but is it just the part that we sense? Through history, people understood that there were limits to our senses and that sound, and vision, and indeed, the real world around us extended beyond the threshold of our limited perception. We knew that dogs could smell better, hawks and falcons see better, and cats move in the dark.

Most physicists are beginning to believe that time and space do have a finite size, with the smallest time being the Planck time, defined as the time it takes light to travel one Planck length (named after Max Planck). This means that our experience of the world is like watching a cartoon, one Planck slice at a time.

So why the arrow? Why don't the frames flip backwards?