Sunday, April 5, 2009

Essay #4: E=M.C^2

Between his twenty-first and thirty-eighth birthdays, A. Einstein completed a so-called revolution in science, with and I quote, “profound repercussions at many levels”. The two supposed great breakthroughs were his Special Theory of Relativity (1905) and the General Theory of Relativity (1915). Special Relativity deals with high speeds (light), and General Relativity with gravity.


Einstein’s theories were ultimately derived from thought experiments, not physical experiments, and his supporters maintained that they were confirmed for their correctness time and again [?]. Einstein set out from the famous Michelson-Morley experiment (1887), which allegedly exposed an inner contradiction in 19th century physics. This experiment attempted to generalise the electromagnetic theory of light by demonstrating that the apparent speed of light was dependent upon the rate at which the observer travelled through the purportedly fixed ‘ether’ [now called dark matter and dark energy?]. In the end, no difference was found in the velocity of light, in whatever direction the observer was travelling.


However, let us start at the beginning. Ole Roemer (1644-1710) found as far back as 1676 that the speed of light (usually abbreviated with ‘c’) is finite and has a certain, quantifiable velocity. In 1849, Armand Hippolyte Louis Fizeau (1819-1896) published the first results obtained by his method for determining the speed of light.


Jean Bernard Leon Foucault (1819-1868) determined the speed of light with Charles Wheatstone’s revolving mirror in 1862. His measurement showed the speed of light to be 298,000,000 metre (m) per second (s) – 10,000,000 m/s less than that obtained by previous experimenters and only 0.6% off the currently accepted value.


In 1878, Marie Alfred Cornu (1841-1902) carried out a classical redetermination of the speed of light by making adjustments to an earlier method developed by Armand Fizeau in the 1840s. The changes and improved equipment resulted in the most accurate measurement taken up to that time, 299,990,000 m/s.


Again in 1878, Simon Newcomb (1835-1909) had started planning for a new and precise measurement of the speed of light that was needed to account for exact values of many astronomical constants. He had already started developing a refinement of the method of Foucault when he received a letter from the young naval officer and physicist, Albert Michelson, who was also planning such a measurement. Thus began a long collaboration and friendship. In 1880, Michelson assisted at Newcomb’s initial measurement. However, Michelson had left to start his own project by the time of the second set of measurements. Michelson published his first measurement in 1880; his and Newcomb’s measurements were substantially different.


In 1881, Albert Michelson (1852-1931) conducted an experiment with the help of an apparatus that allowed measuring minute differences in the speed of light by changes in the resulting interference patterns. Michelson observed that the speed of light is always the same. In 1883, Michelson revised his measurement to a value closer to Newcomb’s. The now famous experiment has been repeated later with greater precision in 1887 by Michelson and Edward Morley (1838-1923).


Starting with Ole Roemer’s 1676 breakthrough endeavours, the speed of light has been measured at least 163 times by more than 100 investigators utilizing a wide variety of different techniques. Finally in 1983, more than 300 years after the first serious measurement attempt, the speed of light was defined as being 299,792,458 m/s by the Seventeenth General Congress on Weights and Measures. The metre is defined as the distance light travels through a vacuum during a time interval of 1/299,792,458 seconds.



The Mass-Energy Equivalence Formula


In 1905, Einstein developed his Special Theory of Relativity that starts from the assumption that the speed of light in a vacuum will always be measured at the same constant value, irrespective of the speed of the light source relative to the observer. From this he deduced that the speed of light represents the limiting speed for anything in the universe. In addition, Special Relativity states that energy and mass are in reality equivalents. [These were rather crazy assumptions, the speed limit of light has never been proven, and energy and mass are certainly not equivalents!]


According to ‘the Theory of Quantum Time’, time and distances smaller than Planck scales are ‘fuzzy’ because in a fundamental way they cannot be measured. The theory allows for ‘Planck-scale fluctuations in time and space’ that translate very minute variations in the speed of light. However, these variations would only be evident in light that has travelled a great distance.


In a similar way, a sprinter running one per cent faster than his opponents might win a 10-metre race by one metre, while a one per cent faster marathon runner, will finish hundreds of metres ahead of the rest of the field.


After billions (10^9) of light years, the faster components of a light wave would be far enough ahead of the slower components to make the beam’s wave front noticeably distorted, or blurred. [Remember that all forms of electromagnetic radiation, including light, were supposed to travel at the absolute speed of ‘c’ according to Einstein, but in reality it is not the case.]


Under ‘normal’ circumstances and ‘short periods’ of time, the speed of electromagnetic radiation in a vacuum is supposed to be a constant and should be the same for all frequencies and wavelengths.


The frequency (‘f’) and wavelength (‘λ’ – Greek small letter, ‘Lambda’) of a wave are related by the expression:


c = λ*f. [Where ‘c’ is an absolute value for all forms of electromagnetic radiation according to Einstein.]


Drs Richard Lieu and Lloyd Hillman, two astrophysicists from the University of Alabama in Huntsville, tested ‘the Theory of Quantum Time’ by looking for this expected blurring in Hubble Space Telescope images of galaxies at least four billion (4 x 10^9) light years away.


Drs Richard Lieu and Lloyd Hillman were taken by surprise when they did not find the expected blurring. Instead, each image showed a sharp, ring-like interference pattern around the galaxy. Not finding the expected blurring suggested that time was not a quantum function and flowed fluidly at intervals infinitely shorter than Planck unit-of-time flow. [example: time is analogue and not digital!]


The findings were released in the online Astrophysical Journal Letters (March 10, 2003). Dr Lieu said, “If time doesn’t become ‘fuzzy’ beneath a Planck interval, this discovery will present problems to several astrophysical and cosmological models, including the Big Bang model of the universe.” [I really can’t say that I am surprised.]


The Big Bang theory supposes that at the instant of creation, the quantum singularity that became the universe would need to have infinite density and temperature. [Says who?] To avoid that sticky problem, theorists invoked the Planck time. [Scientists have the unshakable habit of invoking constants and more dimensions whenever their theories falter!] They said if the instant of creation was also a quantum event, when space and time were both blurry [?], then you do not need infinite density and temperature at the start of the Big Bang. [We can but only surmise that there was a Big Bang! None of us actually remembers it.]


“If time moves along like business as usual even at Planck scales, however, you have to reconcile the Big Bang model with an event that isn’t just off the scale, it’s infinite”, Lieu said.


Internationally acclaimed cosmologist Paul Davies (1946- ) of Macquarie University in Sydney took up the challenge of proving that quasar light could indeed be explained by Einstein’s famous equation (E = mc^2) that energy equals mass multiplied by the square of the speed of light (in a vacuum). Well, he could not – he failed.


Davies told Australia’s ABC Radio that he was flabbergasted when he found what appeared to be a deception at the heart of Einstein’s, theory.


“This is one of the basic laws of physics, one of the basic laws of the universe according to physicists – the speed of light (in a vacuum) should not vary, and yet the evidence seems to suggest that it might be varying”, Davies said. The work of Davies and his team, published in an issue of Nature magazine, is set to shake the cornerstone of modern physics. On Thursday, August 8, 2002, a burst of press publicity accompanied the publication of the paper Nature.


The paper suggested that the speed of light was much higher in the past and had dropped over the lifetime of the universe. These conclusions were reached as a result of the observations of University of New South Wales astronomer John Webb made in 1999 and the more recent observations of one of his PhD students, Michael Murphy.


The notion that the speed of light has been slowing over time is difficult to grasp. “It is very hard to find a mathematical scheme that can accommodate a changing speed of light”, he said. He is well aware of the implications if the notion is accepted as truth. It also affects other branches of physics, like Thermodynamics and Quantum Physics – that very basis of all our fundamental physical theories – if these observations are correct. If the best known physics equation – E = mc^2 – is wrong, even school physics textbooks would have to be rewritten. This will have a major impact on all physicists’ models of reality!


“For example, there’s a cherished law that says nothing can go faster than light and that follows from the theory of relativity.



The famous Millenium Falcon from the Star Wars Universe, was said to be the fastest ship on the galaxy due to its custom modified Hyperdrive


Maybe it’s possible to get around that restriction, in which case it would enthral all of us who condisider Star Wars fans, because at the moment even at the speed of light it would take 100,000 years to cross the galaxy, while in the Star Wars Universe there's the so called Hyperdrive, which allow to travel at speeds multiple times than that of light, crossing the galaxy in a matter of days or even hours. It’s a bit of a bore really and if the speed of light limit could go, then who knows? All bets are off.


Since a major paper by Andreas Albrecht and Jao Magueijo in 1999, and another one by John Barrow in the same issue of Physical Review D, the speed of light has already come under increasing scrutiny as a physical quantity that may be varying. These scientists are saying that if the speed of light was significantly higher at the inception of the cosmos (about 10^60 higher) then a number of astronomical problems can be readily resolved.


Well to say 10^60 is an extremely large number is an understatement of immense proportions! If we take the age of the universe to be 13.6 x 10^9 years – that is 4.3 x 10^17 seconds. The speed of light must have slowed down at a shocking rate; on average something like 2.3 x 10^42 m/s^2 – talk about g-forces!


“Einstein would have absolutely hated this”, Davies reportedly said. Einstein’s entire Special Theory of Relativity was founded on the notion/belief [not fact] that the speed of light is an absolute, fixed, universal number. Well, it is not, and Einstein without doubt would have hated to see his very famous and much loved theory go to pieces in this spectacular way! And indeed, it seems that we still have awfully deep-seated, inner contradictions in 21st century physics and cosmology. I believe that modern, physical science (Relativity and Quantum Physics) completely lost contact with reality at the beginning of the 20th century.

3 comments:

  1. According to Einstein Theory of Relativity (E=mc^2)
    1 kg mass of any matter is equivalent to 9 x 10^16 J of energy.

    Does it mean that,

    Mass of any matter is Condensed Form of Energy and Energy is Diffused Form of Mass of any matter ?

    A question may also arise what existed before the creation of the Universe Energy or Mass or both?

    Anirudh

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  2. E=mc^2 is called ‘Einstein’s energy-mass relation’. According to this relation, 1 kg mass of any matter is equivalent to 9x10^16J of energy. This is a huge amount of energy, equal to 2.5x10^10kWh. It is evident that the amount of energy is same irrespective of the matter taken, whether it is carbon, iron, copper or any other including radioactive elements. The amount of energy thus released does not depend on the atomic number, atomic weight, electronic configuration etc. It is the mass of the matter only based on which the amount of energy is calculated. It means that ‘mass’ is the connecting link between energy and matter.

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  3. It is written in the Text-Books of Physics that if we give ∆E energy to some matter, then according to E=mc^2, its mass will increase by ∆m, where

    ∆m=∆E/c^2

    Since the value of c is very high, the increase in mass ∆m is very small. For example, if we heat a substance, then the heat-energy given to this substance will increase its mass. But this increase in mass is so small that we cannot measure it even by the most sensitive balance. Similarly, if we compress a spring, its mass will increase, but we cannot confirm this mass-increase by any experiment.

    Now the question is whether the change in mass as quoted in these two examples is reversible i.e. when the same substance of example one is cooled down, energy is produced equal to ∆m x c^2 (∆E=∆m x c^2) and in second example when we release the spring , energy is produced equal to ∆m x c^2 and initial mass is retained in both the cases ? Or the above changes are irreversible ?

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