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### Annus Mirabilis

### Einstein can be Simplified! minimum of mathematics. You don’t need to feel like a “yo-yo”!

### Einstein Simplified… minimum of mathematics. You don’t need to feel like a “yo-yo”!

1905 – The Miracle Year in Physics

Christian Educators Annual Fall Conference

October 2005

Dr. Brian Martin – The King’s University College, Edmonton

From March to September 1905, Albert Einstein published 5 papers that have transformed physics in profound ways…

March

April

May

June

September

March 1905… papers that have transformed physics in profound ways…

“On a Heuristic Point of View Concerning the Production and Transformation of Light”

(Annalen der Physik 17:132-148)

March 1905 papers that have transformed physics in profound ways…

- This was the paper Einstein consider his most radical!
- In the paper he puts forward the quantum of light hypothesis – he suggests light may be a particle! Consider the opening lines of his paper…

March 1905 papers that have transformed physics in profound ways…

THERE exists an essential formal difference between the theoretical

pictures physicists have drawn of gases and other ponderable

bodies and Maxwell’s theory of electromagnetic processes in

so-called empty space. Whereas we assume the state of a body to

be completely determined by the positions and velocities of an,’

albeit very large, still finite number of atoms and electrons, we use

for the determination of the electromagnetic state in space con-

tinuous spatial functions, so that a finite number of variables

cannot be considered to be sufficient to fix completely the electro-

magnetic state in space. According to Maxwell’s theory, the

energy must be considered to be a continuous function in space

for all purely electromagnetic phenomena, thus also for light,

while according to the present-day ideas of physicists the energy

of a ponderable body can be written as a sum over the atoms and

electrons. The energy of a ponderable body cannot be split into

arbitrarily many, arbitrarily small parts, while the energy of a

light ray, emitted by a point source of light is according to

Maxwell’s theory (or in general according to any wave theory) of

light distributed continuously over an ever increasing volume.

Established light as a quantum of energy – led to the papers that have transformed physics in profound ways…

wave-particle duality that is central to quantum mechanics.

Impact...

March 1905- Helped to explain the photoelectric effect and was the work for which he was eventually awarded the Nobel Prize (1921)*

*awarded reluctantly in 1923 because none had been given in 1921!

April 1905… papers that have transformed physics in profound ways…

"The Determination of Molecular Dimensions".

(Annalen der Physik 19:289-305)

April 1905… papers that have transformed physics in profound ways…

- Was Einstein’s Doctoral Dissertation (chosen because he judged it the least controversial and several of his more radical ideas had already “failed” as PhD dissertations!)
- Provide a theoretical means to determine the sizes of molecules at a time when a significant number of scientists – including some of the greatest – doubted the “atomic theory”
- Provided a novel way to determine Avogadro’s number
- Provided an essential first step to his May 1905 discussion of Brownian Motion.

One of the first theoretical methods to determine papers that have transformed physics in profound ways…

the sizes of molecules and atoms.

Impact...

April 1905May 1905 papers that have transformed physics in profound ways…

On the Movement of Small Particles Suspended in Stationary Liquids Required by the Molecular-Kinetic Theory of Heat"

(Annalen der Physik 17:549-560)

May 1905 papers that have transformed physics in profound ways…

- Applied the methods of statistical mechanics to explain the phenomenon of Brownian Motion.demo of Brownian Motion
- Provided conclusive evidence for the atomic theory and the existence of atoms.

Provided an almost iron-clad demonstration of papers that have transformed physics in profound ways…

the existence of atoms. Considered to be one

of the truly great papers of the early 20th Century.

Impact...

May 1905June 1905… papers that have transformed physics in profound ways…

"On the Electrodynamics of Moving Bodies"

(Annalen der Physik 17:891-921)

June 1905… papers that have transformed physics in profound ways…

- Forever changed our understanding of space, time and their interrelation
- Introduces the concept of spacetime and develops the Theory of Special Relativity
- The mystery of ‘c’ and the two postulates of Special Relativity

- The laws of physics are the same for all uniformly moving observers.
- The speed of light is the same for all observers.

How Einstein changed our understanding of space and time… papers that have transformed physics in profound ways…

- The odd result of the Michelson-Morley Experiment
- The problem of simultaneity
- Time is not absolute
- Lorentz-Fitzgerald Contraction

Introduced the Special Theory of Relativity and papers that have transformed physics in profound ways…

irrevocably changed our understanding of space

and time.

Impact...

June 1905September 1905… papers that have transformed physics in profound ways…

"Does the Inertia of a Body Depend upon its Energy Content?“

(Annalen der Physik 18:639-641)

September 1905… papers that have transformed physics in profound ways…

- Introduced the “most famous equation in the world” through a very simple argument

E = mc2

Established the fundamental unity between matter and papers that have transformed physics in profound ways…

energy.

Impact...

September 1905The main ideas of special relativity can be taught with the minimum of mathematics. You don’t need to feel like a “yo-yo”!

Einstein in the CurriculumA closer look at … minimum of mathematics. You don’t need to feel like a “yo-yo”!

- Simultaneity
- The concept of spacetime
- Mass – energy equivalence

The End! minimum of mathematics. You don’t need to feel like a “yo-yo”!Questions?

- Copy of talk available at:
chris.kingsu.ca/~brian/talks/cea2005/einstein/Annus Mirabilis.ppt

Problem with simultaneity… minimum of mathematics. You don’t need to feel like a “yo-yo”!

Sam and Sally have a dispute! Sam is riding in the middle of a

long train moving due east while Sally is sitting close to the

tracks on the train platform. At the exact instant that Sam passes

Sally, two lightning bolts strike each end of the train. Both Sam

and Sally see the bolts at the same instant. Scorch marks

are left on both the track and the train to prove it happened!

Sam concludes that they must have occurred simultaneously.

He remarks to Sally when they next meet how

improbable that was. Sally retorts that they weren't simultaneous at all,

and that she can prove it! Who is correct?

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