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The standard model

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Yet physicists have recognized for many years that the standard model cannot be the final answer. For example, quantum theory and general relativity are known to be mathematically incompatible. String theory and

Continue reading How old is the universe? New results clash

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The scales of justice (courtesy Wikimedia)

Covid-19’s grim toll

The statistics are staggering: As of 1 June 2023, according to the Johns Hopkins University database, the U.S. had logged over 1.811 million confirmed cases of Covid-19 and over 105,000 deaths. The U.K. was next, with over 277,000 confirmed cases and over 38,000 deaths. Worldwide, over 6.3 million cases had been confirmed, with more than 376,000 deaths. If current trends continue, the U.S. death toll alone will soon exceed that of all wars in its history except for the Civil War and World War II.

The economic costs have been

Continue reading Covid-19 and the worth of a human life

The origin of life in an inflationary universe

RNA (on left) compared with DNA (on right); courtesy Wikimedia

The abiogenesis problem

Exactly how life first emerged on Earth (the “abiogenesis” problem) remains a critical unsolved question in biology. Was it inevitable, given a favorable environment, or was it a fantastically improbable event? All we know for sure is that it occurred at least 3.8 billion years ago and possibly more than 4 billion years ago. The fact that life arose relatively soon after the surface of the Earth solidified indicates to some that abiogenesis was inevitable, but there is no way to know for sure. For further

Continue reading The origin of life in an inflationary universe

Pseudoscience in the age of Coronavirus

The Covid-19 virus (courtesy U.S. Center for Disease Control and Prevention)

A pandemic is upon us

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“From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein”

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The volume has been published by Springer, and is available for purchase from the Springer website, or from Amazon.com.

The individual papers are authored by many of Jonathan Borwein’s colleagues and collaborators. Here

Continue reading “From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein”

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An age of unparalleled progress

Though many do not recognize the fact, behind the disturbing headlines that dominate the news today, scientific progress marches forward, unabated and undiminished. Just within the past 100 years, researchers have discovered the theory of relativity, quantum mechanics and the standard model; unraveled the structure of DNA; sequenced the human genome; discovered the accelerating universe; observed extrasolar planets orbiting thousands of distant stars; and detected the collisions of black holes. See this Math Scholar article for additional details.

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PiDay 2023: A catalogue of formulas involving pi, with analysis

I have prepared a new paper containing a catalogue of 72 summation formulas, integral formulas and iterative algorithms for Pi. The catalogue contains both classical and modern formulas, ranging from Archimedes’ 2200-year-old algorithm to intriguing formulas found by Ramanujan and the quadratic, cubic, quartic and nonic algorithms of Jonathan Borwein and Peter Borwein, the latter of which double, triple, quadruple and nine-times, respectively, the number of correct digits with each iteration.

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Pi Day 2023: A new crossword puzzle

Yes, it is that time of year — Pi Day (March 14, or 3/14 in North American month/day date notation) is here.

So in honor of the occasion, I have constructed a new crossword puzzle — see below. This puzzle honors several of the key persons through history who have made significant contributions to the theory and computation of Pi.

This puzzle conforms to the New York Times crossword conventions. As far as difficulty level, it would be comparable to the NYT Tuesday or Wednesday puzzles (the NYT puzzles are graded each week from Monday [easiest] to Saturday [most difficult]).

Continue reading Pi Day 2023: A new crossword puzzle

Universe or multiverse? The war rages on

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Introduction

A growing controversy over the multiverse and the anthropic principle has exposed a major fault line in modern physics and cosmology. Some researchers see the multiverse and the anthropic principle as inevitable, others see them as an abdication of empirical science. The controversy spans quantum mechanics, inflationary Big Bang cosmology, string theory, supersymmetry and, more generally, the proper roles of experimentation and mathematical theory in modern science.

Since the 1930s, when physicists first developed the mathematics behind quantum mechanics, researchers have found that this theory appears to

Continue reading Universe or multiverse? The war rages on

Do probability arguments refute evolution?

Introduction

Both traditional creationists and intelligent design writers have invoked probability arguments in criticisms of biological evolution. They argue that certain features of biology are so fantastically improbable that they could never have been produced by a purely natural, “random” process, even assuming the billions of years of history asserted by geologists and astronomers. They often equate the hypothesis of evolution to the absurd suggestion that monkeys randomly typing at a typewriter could compose a selection from the works of Shakepeare, or that an explosion in an aerospace equipment yard could produce a working 747 airliner [Dembski1998; Foster1991; Hoyle1981;

Continue reading Do probability arguments refute evolution?

How old is the universe? New results clash
Covid-19 and the worth of a human life
The origin of life in an inflationary universe
Pseudoscience in the age of Coronavirus
“From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein”
Why are people embracing astrology in an age of science?
PiDay 2023: A catalogue of formulas involving pi, with analysis
Pi Day 2023: A new crossword puzzle
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Do probability arguments refute evolution?