Austrian physicist Heinz von Foerster and his research team calculated a mathematical Doomsday for human population growth that arrives on November 13, 2026, less than three months away.
Published in the journal Science in 1960, the paper argued that accelerating world population growth would cause the time between population doublings to shrink to zero, driving human numbers toward infinity on that date.
The calculations have resurfaced as the predicted deadline approaches, though demographers emphasize the mathematical forecast will not come to pass because global population growth has slowed dramatically over the past six decades.
In their paper, titled "Doomsday: Friday, 13 November, AD 2026", the researchers stated, "At this date human population will approach infinity if it grows as it has in the last two millennia." Von Foerster warned of the mathematical endpoint of unchecked expansion, writing, "Our great-great-grandchildren will not starve to death. They will be squeezed to death."
Slowing global population growth
When von Foerster and his colleagues published their work in 1960, just over three billion people lived on Earth. Today, global population stands at approximately 8.2 billion, representing an increase of more than five billion people since the prediction was made.
Despite the overall increase in world population, the annual growth rate has fallen steadily. According to a US Census Bureau 2026 estimate, the global population growth rate dropped from a peak of roughly 2.2 percent in 1963 to about 0.84 percent in 2026, a decline of approximately 62 percent.
At the 1960s expansion rate, world population would double about every 32 years. At today's lower rate, doubling would take roughly 83 years, breaking the accelerating curve that the 1960 equation assumed would continue uninterrupted.
Demographers do not consider the prediction credible because of this structural deceleration in birth and growth rates. Demography is the statistical study of human populations, analyzing birth rates, mortality and demographic shifts over time.
Historical population data and methodology
To test their theory of accelerating growth, the researchers applied their model to the entire human population, considering it the best long-term example of a group whose members communicate and work together.
They collected 24 independent estimates of the world population spanning nearly 2,000 years, ranging from the time of Christ to 1958. Using global population totals helped reduce statistical distortions caused by local migration, regional wars or geographic population shifts.
The team removed estimates that appeared to have been copied from identical sources and used a statistical method to identify the curve matching the remaining data most closely. They reported that the resulting model followed historical population figures with a margin of error of approximately seven percent.
When the curve was extended into the future, it pointed to late 2026 as the moment population would theoretically reach infinity. However, the calculation carried an uncertainty of about five and a half years, meaning the widely publicized November 13 date was far less precise than it appeared.
The researchers argued their projection was notable because it required extending the historical trend only slightly beyond the available data. They claimed Charlemagne could have used the same model to predict the endpoint within 300 years, while Queen Elizabeth I could have come within 110 years and Napoleon Bonaparte within 30 years.
Mathematical limits and backward testing
Charlemagne ruled as Emperor of the Romans in the ninth century, Queen Elizabeth I governed Tudor England in the sixteenth century and Napoleon Bonaparte led France in the early nineteenth century.
Despite matching historical figures well, running the equation backward exposed fundamental flaws in the model. When applied in reverse, it placed a hypothetical first human approximately 200 billion years ago, a time far earlier than the universe itself.
The authors acknowledged that such backward projections produced impossible results and that the model became unreliable when stretched too far. The Doomsday date represented the mathematical point where the equation broke down, rather than a literal prediction that the world would end.
