Physics 304

Physics 304 For fans and students of Modern Physics II, Physics 304, Dept of Physics and Astronomy, Washington State University.

Post items of interest in quantum and modern physics.

08/26/2026

At nineteen, her future nearly disappeared beneath the weight of a secret she carried alone.

By her forties, she had accomplished what generations of celebrated scholars had failed to do.

She did not live long enough to finish the puzzle.

She did not receive the recognition she deserved.

But without her, one of the greatest linguistic breakthroughs of the twentieth century might never have happened.

Her name was Alice Kober.

Born in Manhattan in 1906, Alice was the daughter of Hungarian immigrants. Her family lived modestly, but education was deeply valued in their home.

From childhood, she possessed an extraordinary gift for languages.

While other students struggled to memorize vocabulary and grammar, Alice seemed to absorb them naturally. By high school, she had mastered Latin and ancient Greek. At Hunter College, she studied German and French. Later, driven entirely by intellectual curiosity, she taught herself Sanskrit.

Alice wanted to become a classical scholar at a time when women were quietly—and sometimes openly—discouraged from pursuing serious academic careers.

She refused to surrender that ambition.

But while she was still a student, her life took a painful and deeply private turn.

In the mid-1920s, Alice became pregnant. Historical records indicate that she gave birth and placed the child for adoption, although much of what happened remains unknown.

For an unmarried woman in that era, pregnancy carried enormous social consequences. The stigma could destroy reputations, end careers, and isolate women from their families and communities.

The experience appears to have permanently altered the course of Alice’s life.

She never married.

She had no other children.

And she rarely, if ever, spoke publicly about what had happened.

Instead, she poured herself into her work.

Alice completed her education and earned a doctorate from Columbia University in 1932. She then accepted a teaching position at Brooklyn College.

It was not the kind of prestigious appointment usually associated with historic discoveries.

She did not have a position at Oxford or Cambridge.

She did not have wealthy patrons, a large research grant, or a team of assistants.

She spent her days teaching a demanding course load and her nights working alone in a small Brooklyn apartment.

Then she encountered Linear B.

In 1900, British archaeologist Arthur Evans had begun excavating the ancient palace of Knossos on the island of Crete. Among the ruins, his team discovered thousands of clay tablets covered in an unknown writing system from the Bronze Age.

Evans named the script Linear B.

The tablets were connected to the Mycenaean world, but no one knew what language they recorded—or whether they represented a language in the ordinary sense at all.

For decades, some of Europe’s most respected scholars attempted to decipher them.

They failed.

Many approached the tablets with predetermined theories. Some believed the script represented a lost Minoan language. Others suspected that the markings were religious, ceremonial, or symbolic. Scholars repeatedly tried to match signs with the language they expected—or hoped—to find.

Alice approached the problem differently.

She believed that speculation was obscuring the evidence.

Instead of guessing what the language might be, she began studying how it behaved.

She treated the mysterious script not as an ancient riddle to be solved through intuition, but as a vast body of data.

She searched for repetition.

Position.

Frequency.

Variation.

Structure.

Grammar.

Beginning in the early 1940s, Alice undertook a task of almost unimaginable patience.

She copied and cataloged the Linear B inscriptions sign by sign. She recorded where individual symbols appeared, which signs occurred together, and how groups of symbols changed from one tablet to another.

She did it all by hand.

There were no computers capable of searching thousands of symbol combinations. There were no digital databases in which patterns could be sorted instantly.

So Alice built her own database out of paper.

Using cigarette cartons cut into small pieces, she created an elaborate system of cards and slips. Each one contained information about a particular sign, word pattern, position, or relationship.

Eventually, her collection reportedly grew to more than 180,000 records.

The scale of the work was astonishing.

During World War II, paper was scarce, so Alice used whatever she could find. She wrote on the backs of old examination papers, library slips, greeting cards, and discarded scraps.

Those pieces of paper filled her apartment.

Carefully organized and cross-referenced, they became an enormous physical memory bank for a language that had been silent for more than three thousand years.

Every evening, after spending the day teaching students, Alice returned to the tablets.

She worked alone, without applause and with little financial support.

Slowly, patterns began to emerge.

Her greatest breakthrough was not a dramatic translation or the discovery of a famous name. It was something far more subtle—and ultimately more important.

Alice identified sets of related words that appeared to share the same roots while ending in different combinations of signs.

She called these patterns “triplets.”

The endings changed in predictable ways depending on how the words were used. That suggested the language employed inflection—the grammatical system in which the endings of words change to communicate information such as case, number, or gender.

It was a revolutionary discovery.

Alice still could not pronounce the words.

She did not know what they meant.

But she had demonstrated that Linear B was not merely a collection of pictures, sacred symbols, or administrative marks.

It encoded a structured, fully inflected language.

She had not yet found the key.

But she had uncovered the shape of the lock.

In 1948, Alice published her findings in the *American Journal of Archaeology*.

The academic response was restrained.

Her work was acknowledged as valuable and interesting, but it did not bring widespread recognition. She was a woman teaching at Brooklyn College rather than a prominent male scholar attached to one of Europe’s elite institutions.

There were few headlines.

No celebration.

No transformation of her professional life.

Alice returned to her cards and continued working.

By 1950, she had moved extraordinarily close to decipherment.

Years of patient analysis had eliminated false possibilities and revealed the internal machinery of the script. She had created the structure upon which a successful solution could finally be built.

Then her health began to fail.

Alice Kober died in 1950 at only forty-three years old, reportedly from cancer.

She never read a complete Linear B inscription.

She never saw the ancient language fully deciphered.

She never learned just how close her work had brought the world to the answer.

Two years later, in 1952, a young British architect named Michael Ventris announced that he had deciphered Linear B.

His discovery stunned the academic world.

The language on the tablets was an early form of Greek.

That conclusion overturned long-standing assumptions about the Mycenaean civilization and pushed the written history of the Greek language centuries further into the past.

Ventris’s achievement was brilliant and genuine.

But it did not emerge from nothing.

He built upon the structural discoveries Alice had made. Her identification of grammatical variation and her careful analysis of the triplets gave him essential tools for testing possible sound values and recognizing the language behind the signs.

Alice had transformed an apparently impenetrable mystery into a problem that could be systematically solved.

Ventris acknowledged her contribution.

History, however, preferred a simpler story.

Over time, he was celebrated as the solitary genius who cracked Linear B. Alice’s name gradually receded into academic articles and footnotes.

The familiar pattern repeated itself: the person who announced the final answer became famous, while the woman who spent years constructing the path toward it was largely forgotten.

Only decades later did historians and linguists begin restoring Alice Kober to her rightful place in the story.

Her surviving records revealed the astonishing depth of her work. Page after page demonstrated that the decipherment had not depended on a sudden flash of inspiration.

It had required years of disciplined observation.

It had required someone willing to set aside assumptions, follow the evidence, and record every pattern—even when its importance was not immediately clear.

Because of that work, the Mycenaean world is no longer silent.

The Linear B tablets revealed a complex civilization of administrators, traders, craftspeople, farmers, soldiers, and religious officials. They recorded livestock, grain, land, offerings, weapons, textiles, and labor.

They showed that Greek was being written centuries before Homer.

They transformed legendary figures once hidden behind myth into members of a real, organized Bronze Age society.

An ancient civilization found its voice again because Alice Kober refused to guess.

She insisted on proving.

Her original cards and handwritten records survive today as physical evidence of an extraordinary mind at work—a vast paper monument created from cigarette cartons, old examinations, and whatever scraps she could find.

Alice lived quietly.

She worked relentlessly.

She died before witnessing the breakthrough she made possible.

For years, the world remembered the man who completed the decipherment and overlooked the woman who had built its foundation.

But her name did not disappear forever.

Alice Kober was the scholar who mapped the structure of a language she could not yet read.

She brought an ancient civilization to the edge of speech—

and died just before she could hear its voice.

08/16/2026
08/14/2026

Imagine teaching this class 🤯

Niels Bohr, Werner Heisenberg, Wolfgang Pauli, Otto Stern, Lise Meitner, Rudolf Ladenburg and other physicists, probable 1937 on the occasion of an colloquy with Nobel Price winners at Copenhagen (original annotations by Friedrich Hund).

08/11/2026

Richard Feynman’s voice could be heard from the far end of the corridor: “No, no, you’re crazy!” His colleagues in the Los Alamos Theoretical Division looked up from their computers and exchanged knowing smiles. “There they go again!” one said. “The Battleship and the Mosquito Boat!”

The “Battleship” was the division leader, Hans Bethe, a tall, heavy-set German who was recognized as a sort of genius in theoretical physics. At the moment he was having one of his frequent discussions with Dick Feynman, the “Mosquito Boat”, who, from the moment he started talking physics, became completely oblivious of where he was and to whom he was talking. The imperturbable and meticulous Bethe solved problems by facing them squarely, analyzing them quietly and then plowing straight through them. He pushed obstacles aside like a battleship moving through the water.

Feynman, on the other hand, would interrupt impatiently at nearly every sentence, either to shout his admiration or to express disagreements by irreverent remarks like “No, you’re crazy!” or “That’s nuts!” At each interruption Bethe would stop, then quietly and patiently explain why he was right. Feynman would calm down for a few minutes, only to jump up wildly again with “That’s impossible, you’re mad” and again Bethe could calmly prove it was not so. (Groueff 1967, p. 202)

Source: Silvan S. Schweber: QED and the Men Who Made It.

06/21/2026

On a November morning in 1963, the phone rang in Maria Goeppert Mayer's home in La Jolla, California.

A voice from Stockholm told her she had won the Nobel Prize in Physics.

She reportedly said she did not know anyone in Stockholm.

Her husband was already putting champagne on ice.

The next day, the San Diego newspaper ran the story.

The headline read: S.D. Mother Wins Nobel Prize.

Not physicist. Not professor. Not the woman who had spent thirty years solving problems that other scientists built entire careers trying to approach.

Mother.

She had been born in 1906 in Germany, the only child of a sixth generation university professor.

Her father told her something once, plainly and only once: do not grow up to be a housewife.

By the time she was 24, she had written a doctoral thesis on a process so far ahead of its time it could not be experimentally verified until 1961, when the laser was invented.

The three men who examined her that day in Göttingen, Max Born, James Franck, and Adolf Windaus, had all won or would win Nobel Prizes.

Then she followed her husband to the United States.

At Johns Hopkins University, the anti nepotism rules were clear.

The university did not hire faculty wives.

A physicist who had just defended her thesis before three Nobel laureates was given a small office, a job translating German correspondence, and no salary.

She published landmark research there anyway.

A paper on double beta decay in 1935, cited by scientists for decades.

She wrote it for free.

When her husband moved to Columbia University, the pattern repeated.

Office. Lab access. No title. No pay.

When Enrico Fermi left Columbia for war research, she took over his classes.

She was not paid for that either.

During the war, a small college called Sarah Lawrence became the first institution in fifteen years to pay her a real salary.

For part time teaching.

After the war, the University of Chicago gave her a title.

Volunteer Associate Professor of Physics.

She was 40 years old.

One of the most productive theoretical physicists in the country.

The word on her door was volunteer.

Then a former student offered her a half time paid position at Argonne National Laboratory.

Not a full professorship.

But finally, a paycheck.

For work she had been doing brilliantly for sixteen years.

Within two years at Argonne, she found the answer to a problem that had stopped nuclear physicists cold.

Inside every atomic nucleus, certain numbers of protons or neutrons, 2, 8, 20, 28, 50, 82, 126, produced nuclei unusually resistant to radioactive decay.

Physicists called them magic numbers.

No one could explain why they were magic.

One afternoon, Fermi stepped into her office, the same Fermi whose classes she had taught without pay.

As he was leaving for a phone call, he paused at the door and asked her one question about spin orbit coupling.

He was gone less than ten minutes.

When he came back, she was already explaining the entire solution.

"It was like a jigsaw puzzle. I felt that if I had only one more piece, everything would fall into place. I found the piece, and everything became clear."

The theory is called the nuclear shell model.

Protons and neutrons inside the nucleus are not randomly scattered. They are arranged in layered shells, like rings inside an onion.

When a shell fills completely, the nucleus becomes exceptionally stable.

The magic numbers mark the full shells.

She published it in 1949.

In 1960, the University of California, San Diego offered her a full salaried professorship.

She was 54 years old.

Her first proper academic position in thirty years of work.

Three years later, the phone rang from Stockholm.

She had done the work without the salary.

She had held the title that said volunteer.

She had taught the classes of famous men and walked back to the office the university did not officially pay her to occupy.

The newspaper looked at all of it.

And wrote the word mother.

The Goeppert Mayer unit, one GM, is the standard measurement for two photon absorption in physics laboratories around the world today.

Her name is in the measurement.

It is in every paper that uses it, on every instrument calibrated against it.

The headline is still in the archive.

The unit is still in use.

If you have ever done the work while the room recorded it differently, you already know what she carried into that office every morning for thirty years.

She kept going anyway.

The measurement still bears her name.

06/21/2026

100 years ago on this day, physicist 𝘌𝘳𝘸𝘪𝘯 𝘚𝘤𝘩𝘳ö𝘥𝘪𝘯𝘨𝘦𝘳 completed his revolutionary four-part series on wave mechanics with the submission of his final paper, “𝘘𝘶𝘢𝘯𝘵𝘪𝘴𝘪𝘦𝘳𝘶𝘯𝘨 𝘢𝘭𝘴 𝘌𝘪𝘨𝘦𝘯𝘸𝘦𝘳𝘵𝘱𝘳𝘰𝘣𝘭𝘦𝘮 (𝘝𝘪𝘦𝘳𝘵𝘦 𝘔𝘪𝘵𝘵𝘦𝘪𝘭𝘶𝘯𝘨)” — translated as “𝘘𝘶𝘢𝘯𝘵𝘪𝘻𝘢𝘵𝘪𝘰𝘯 𝘢𝘴 𝘢𝘯 𝘌𝘪𝘨𝘦𝘯𝘷𝘢𝘭𝘶𝘦 𝘗𝘳𝘰𝘣𝘭𝘦𝘮 (𝘍𝘰𝘶𝘳𝘵𝘩 𝘊𝘰𝘮𝘮𝘶𝘯𝘪𝘤𝘢𝘵𝘪𝘰𝘯)” to the journal 𝘈𝘯𝘯𝘢𝘭𝘦𝘯 𝘥𝘦𝘳 𝘗𝘩𝘺𝘴𝘪𝘬 on June 21, 1926.

In this landmark work, Schrödinger extended his newly developed wave mechanics beyond stationary quantum systems, introducing a general treatment of time-dependent quantum processes. The paper helped establish the foundations of modern quantum dynamics and contained ideas that influenced the later development of time-dependent perturbation theory.

It was received by Annalen der Physik on that same date and published later that year in Volume 81.

Schrödinger’s 1926 series transformed physics by introducing wave mechanics as a powerful new formulation of quantum theory, mathematically equivalent to the matrix mechanics independently developed by Werner Heisenberg, Max Born, and Pascual Jordan.

These groundbreaking contributions became one of the central pillars of modern quantum mechanics and fundamentally changed our understanding of nature at the atomic scale.

For this revolutionary work, Schrödinger later shared the 1933 Nobel Prize in Physics with Paul Dirac 𝘧𝘰𝘳 𝘵𝘩𝘦𝘪𝘳 𝘥𝘪𝘴𝘤𝘰𝘷𝘦𝘳𝘺 𝘰𝘧 𝘯𝘦𝘸 𝘱𝘳𝘰𝘥𝘶𝘤𝘵𝘪𝘷𝘦 𝘧𝘰𝘳𝘮𝘴 𝘰𝘧 𝘢𝘵𝘰𝘮𝘪𝘤 𝘵𝘩𝘦𝘰𝘳𝘺.

06/20/2026

The Standard Model's equations have a beautiful symmetry: before accounting for mass, the weak force and electromagnetism are described by a single unified gauge symmetry, and every fundamental particle is massless. This is mathematically elegant and observationally false. Electrons have mass. Quarks have mass. The W and Z bosons have enormous mass. Something in the universe is breaking the symmetry that the equations demand, not by an external force, but spontaneously, as a property of the vacuum itself.

The mechanism, proposed independently by several physicists in 1964 and now called the Higgs mechanism, works through a field that pervades all of space and, crucially, does not vanish in its lowest energy state. Most fields have zero as their ground state, turn off the source, and the field goes quiet. The Higgs field is different: its potential energy is shaped like the bottom of a wine bottle, with a ring of equally low-energy states surrounding a central peak. The field is forced to settle somewhere on that ring, at a nonzero value, breaking the symmetry of the underlying equations even though the equations themselves remain perfectly symmetric.

Particles that interact with this nonzero background field experience drag — and that drag is what we measure as mass. Mass is not an intrinsic property bestowed on particles at creation. It is a measure of how strongly each particle couples to a field that fills all of space and never turns off. The photon, which doesn't interact with the Higgs field at all, remains exactly massless. The top quark, which couples to it ferociously, is nearly as heavy as a gold atom. When the Higgs boson, the ripple in this field, was finally detected at the LHC in 2012, it confirmed a mechanism first proposed 48 years earlier: that the masses defining the entire material universe are not fundamental facts about particles, but a record of how each one interacts with a hidden field that the vacuum has been quietly holding at a nonzero value since a fraction of a second after the Big Bang.

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