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3 Random Tidbits

Topic:
4. Math Theory

Meta-symbolic Language

Exploring the structure, language, assumptions, and limits of mathematics. Why it works the way it does, and how it might work differently.

A 4. Math Theory FAQ.

Subject: CMB.
The farthest thing we can observe isn’t an object at all, but the universe’s oldest light. The Cosmic Microwave Background.

What matters here is this.

The Cosmic Microwave Background reminds us that distance isn’t just about space—it’s about time. When we look far enough, we stop seeing stars and start seeing history. At the edge of observation, objects give way to evidence, and the universe reveals itself not as a place, but as a story unfolding.

Now, the details…

The answer comes from a relic originating just 380,000 years post–Big Bang and stretching across 93 billion light-years. The farthest thing we’ve detected in space isn’t a star or galaxy—it’s the Cosmic Microwave Background, or CMB. The discovery of the CMB in 1965 was a pivotal moment, offering strong support for the Big Bang model. This is essentially the afterglow of the universe’s birth, captured in the microwave band of light.

The farthest thing in the universe isn’t a place: it’s a time.

We’re looking at light that began its journey just 380,000 years after the universe became transparent. By measuring its redshift, scientists estimate the CMB is currently about 46.5 billion light-years away from us in every direction. This implies the observable universe has a diameter of about 93 billion light-years.

Importantly, this is not thought to be the edge of the universe—only the edge of what we can observe. Estimating beyond the CMB requires modeling. Two broad possibilities are often discussed: an open or flat universe and a closed universe. If the universe is open (or flat), it may be infinite. If it is closed, current conservative estimates suggest it could be at least six times larger than the observable universe—on the order of 600 billion light-years across.

 


That 4. Math Theory FAQ, 

was first published on TST 2 years ago.

By the way, the flashcard inspired by it is this.

Front: What is a closed universe model?
Back: Finite universe (curved)

 

A 4. Math Theory Story.

From History:
2045 (+/- 5 years)
Rationally predicted based on current trends.

Put simply.

Now, the details…

1 Generation From Now (from 2020 CE)

By 2045 or so, we’ll reach a tipping point where 60% of the meat consumed is plant-based and lab-grown meats. By this date, the quality will exceed animal farming and be cheaper. The key to this tipping point is that the quality will be more consistent, taste as good as the best meats, but cost less than the cheapest meats. By 2100, over 90% of meat consumed will be plant-based or lab-grown meats.

Analysis: The choice of 2045 as the tipping point for this dietary transformation is grounded in several converging trends. The acceleration of technological advancements in food science is expected to continue, making alternative meats more appealing and accessible. Secondly, the trend of young people embracing it combined with the death of set-in-their-ways elder, will cascade the trend. Thirdly, the investors in the stock market will run from meat-based companies causing a collapse in the industry similar in impact to the tabacco industry. Forthly, the intensifying impact of climate change motivates stronger global regulatory actions and shifts in public sentiment towards more sustainable consumption practices. By 2100, we will have had three plus full generations of transition and adoption. The eating of slaughterhouse meats will be limited to the rich and esoteric and largely frowned upon by society. 

 


That 4. Math Theory Story, 

was first published on TST 6 years ago.

By the way, the flashcard inspired by it is this.

 

A 4. Math Theory Story.

From History:
Subject: Fungi Evolution.
~600 Million years ago (+/- 20 million)
Sperm-like reproduction to spread seed to new soil.
About 600 million years ago, chytrids live in moist and watery environments. They are living fossils in the sense they reproduce with sperm-like cells that can swim to a new area.

The central point is this.

By 600 million years ago, chytrids live in moist and watery environments. They are living fossils in the sense they reproduce with sperm-like cells that can swim to a new area. This lineage is the only fungi survivor of the original true posterior flagellum fungi-animal ancestors.

Now, the details…

There is one group of “primitive” fungi called Chytrids (Chytridiomycota) that still lives in water or moist soil. They are the only fungi that still have the posterior flagellum. Their spores, called zoospores, actually swim exactly like human sperm cells to find new food sources.

The “tail” on a human sperm cell is literally the same posterior flagellum from our Opisthokont ancestors. It hasn’t changed its basic design in over a billion years.

The Unicellular Swimmers: In their simplest form, these chytrids live a lifestyle remarkably similar to human sperm. They begin as zoospores, tiny independent cells that use a single rear-mounted flagellum to “push” themselves through films of water or moist soil. Once this microscopic scout finds a suitable food source—like a piece of pollen or a dead leaf—it undergoes a dramatic transformation: it reabsorbs its tail, settles down, and grows into a stationary, bulbous “eating” cell called a thallus. At this stage, the flagellum is gone, but it has already fulfilled its mission as the primary engine of discovery.

The Anchored Explorers: The “almost” multicellular chytrids take the single-cell blueprint and add a structural upgrade. While they still start life as swimming zoospores driven by that signature posterior motor, their stationary phase is more ambitious. Upon settling, they grow thin, root-like filaments called rhizoids. These aren’t true multi-cell tissues, but rather extensions of the main cell that allow the fungus to anchor itself firmly. Even though the “tail” is lost during settlement, the energy gained through these rhizoids eventually powers the creation of a new generation of swimming, flagellated spores to continue the cycle.

The Web-Like Giants: The most advanced chytrids hint at the future of all “higher” fungi by forming a mycelium, a branching network of thread-like structures. These are essentially “super-cells”; they lack the internal walls (septa) found in mushrooms, allowing nutrients to flow freely through one continuous, web-like body. Even at this massive scale, the ghost of the posterior flagellum remains: when it comes time to reproduce, this large network concentrates its resources to pump out thousands of tiny, “push-motor” zoospores. It is the last time in fungal history we see a large, complex body still relying on an ancient swimming tail to spread its offspring.

 


That 4. Math Theory Story, 

was first published on TST 1 month ago.

By the way, the flashcard inspired by it is this.

 

The end. Refresh for another set.

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