Rethinking the Black Hole Singularity

Black holes have been understood as infinite singularities for a century. In 1916, months after Einstein published general relativity, Karl Schwarzschild did something that surprised even Einstein himself. He formulated one of the very first exact solutions to relativity’s equations for a single spherical mass. Out of that solution came a radius now commonly called “the Schwarzschild radius,” also known as the event horizon – the boundary around a black hole where nothing can escape.

From Watts Up With That?

By Michael Aaron Cody

Black holes have been understood as infinite singularities for a century. In 1916, months after Einstein published general relativity, Karl Schwarzschild did something that surprised even Einstein himself. He formulated one of the very first exact solutions to relativity’s equations for a single spherical mass. Out of that solution came a radius now commonly called “the Schwarzschild radius,” also known as the event horizon – the boundary around a black hole where nothing can escape. For the last 110 years the field has built on those equations, and the picture that settled into place is the one we are all taught, that at the center of a black hole sits a singularity, a point of infinite density. Now, new published works offer a different perspective on what black holes are. 

The nearest known black hole is Gaia BH1, about 1,600 light years away. That’s roughly 9,400,000,000,000,000 miles. After the 1916 solution, the field continued on with the singularity. In 1965, Penrose wrote “Gravitational Collapse and Space-Time Singularities.” The idea is that a star becomes infinite once it collapses, leading to an unavoidable singularity. Similarly, Stephen Hawking took the same kind of reasoning and turned it the other way, applying it not to a single collapsing star but to the whole universe, running backwards in time, and arrived at the same place. A beginning that traces back to a singularity of its own. Between the two of them, the message was hard to argue with. General relativity, taken exactly as written, points to its own breaking point.  

The field has, for some reason, largely ignored the elephant in the room and hasn’t yet stopped to question the singularity. Until now, at least. The problem is the singularity itself, this idea that a black hole is just infinity and that’s the end of it. But if a collapsing star creates an infinity, that calls the whole picture into question. Is it really geometry folding neatly into an infinite point? Look at the word we use often. Collapse. Einstein used that word. So did Penrose and Hawking. But they were describing matter contracting to a singularity, not a full geometric failure of spacetime itself. Matter falls inward, geodesics run out, and they called that the end. What they did not say is that the geometry carrying all of it has a breaking point of its own. Geometry does not fold into a point. It fails. It breaks apart. And what is left in its wake, the empty void we call a black hole, is what remains after the break. Or at least, that is what newly published theories are talking about in 2026. 

New literature attacks the very fundamentals of how we describe black holes and what they are. The work that defined this shift, “Black hole singularities and the limits of the spacetime continuum,” published in Springer Nature in January, explained exactly how, why, and where black holes fail. It treats the square root of the Kretschmann scalar as a physical load on the geometry, sets a critical threshold where that load can no longer hold, and computes an exact failure surface, a calculable radius where geometry gives way, using nothing but the equations of general relativity already in hand, with no new forces and no exotic matter. The event horizon stops being a gateway to an infinite interior and becomes a phase boundary, the surface where one description of spacetime ends. The paper also unifies the field, pulling the scattered approaches – the limiting-curvature models, the emergent and thermodynamic pictures, the elastic analogies, the phase-transition descriptions – into a single principle. Spacetime has a breaking point, and everything the theory predicts outside the black hole stays exactly the same. 

Earlier this year, in March 2026, a notable group of researchers came to the same conclusion from a different direction. Jorge Ovalle, Roberto Casadio, and Alexander Kamenshchik, in a paper published in Physical Review D, “On Schwarzschild black hole singularity formation,” tracked what happens to the geometry of spacetime as a star collapses. They found it cannot stay smooth. At the center, the geometry cracks, a discontinuity they named “Minkowski breaking,” where the structure of spacetime stops being continuous. Before the black hole can settle into its final form, the geometry tears. No stress threshold, no failure surface, none of the same math. Two different roads, the same destination. And when two independent results both refuse to let the Schwarzschild geometry form smoothly, the singularity starts to look like it was never a feature of the universe, just an artifact of the equations we mistook for the real thing. 

Both of these papers are bold, fresh, and provocative. They challenge the very foundation of how we understand geometry and black holes. Since 1916, the many physicists who built this field have led us to where we are now, but that understanding is starting to shift. Black holes may be infinite singularities, or they may be phase boundaries, places where geometry fails. The uncertainty goes back to a simple fact: it has only been 110 years since this started. Humanity is still at the cusp of exploring space beyond its own moon, with much left to learn about space and its geometry. 

This article was originally published by RealClearScience and made available via RealClearWire.

Is Paleoclimate Cyclic? It’s a Mystery to Me

The Story of Climate Change is based on the concept of atmospheric ionization by high energy cosmic rays initiating aerosol and cloud formation. This results in a warming or cooling planet Earth. This cloud albedo effect (Svensmark) is the first leg upon which The Story of Climate Change rests

Milky Way

From Watts Up With That?

By Kirby Schlaht

Is paleoclimate cyclic?

Does the climate model below (Fig 6) represent a real climate cycle that actually repeats every 675 million years? If so, might the galactic spiral structure with its accompanying cosmic radiation be responsible? Is the spiral structure of the Milky Way “stable”, such that we will encounter the same spiral arms and inter-arm regions over and over as we orbit the gravitational center of the galaxy?

The Story of Climate Change is based on the concept of atmospheric ionization by high energy cosmic rays initiating aerosol and cloud formation. This results in a warming or cooling planet Earth. This cloud albedo effect (Svensmark) is the first leg upon which The Story of Climate Change rests (https://thestoryofclimatechange.substack.com). Galactic cosmic rays, mostly high energy protons, play the central role in this process by ionizing atmospheric gases as they descend into the lower troposphere. Radio observations of exo-galaxies indicate that cosmic rays are galactic plane polarized and are confined to spiral arm structures. This means that during our solar system’s transit through the Milky Way spiral arms the cosmic ray flux will be modulated. High flux levels during spiral arm crossings result in cloudy and cooling climates while lower flux during inter-arm space crossings results in less cloudy and warming climates. These we can call geologic Ice House and Hot House epochs. Our planetary system’s galactic orbit is circular but oscillates in and out of plane manifesting a secondary high frequency cosmic ray flux modulation. This results in a periodic 30-million-year warming-then-cooling cycle (Veizer, Shaviv). These superimposed drivers can be visualized in my 675-million-year climate cycle based on a one-billion-year splice of Veizer and Halverson isotope proxies (part 1, https://thestoryofclimatechange.substack.com/p/the-story-of-climate-change-part-0fd ).

What does this mean?

As our solar system continues to orbit the galactic center, we appear to encounter the same spiral arms and inter-arm regions again and again. If this process influences the climate, the cyclic nature of paleoclimate should be revealed. Assuming that the nearly 13-billion-year-old Milky Way galaxy structure has been stable in aggregate, at least since our system’s inception – about 5 billion years, we will continue to repeat the same pattern and periodicity of climatological conditions into the far future. The spiral arms of the Milky Way appear to us to be rotating but at a slightly different speed than other stars in the disk like our sun. From the solar perspective we appear to be at rest while the galactic structure moves past us and slowly recedes in our wake. It has been estimated that our system orbits the galactic center every 225 million years or so. Our story indicates that three of our galactic orbits will result in one complete spiral structure transit – every 675 million years.

How can this pattern of stars, dust, gas, and energy persist if the objects in the galaxy are moving along their unique orbital paths with their unique orbital periods? Is this “spiral” an illusion or does the phenomenon have a physical explanation? Why are the cosmic rays mostly in the spiral arm structures and absent from the inter-arm regions? Do the spiral arms actually exist discretely as rotating standing gravitational waves or are they a function of rotating density waves propagating through the galactic disk of stars ever renewing their inventory of arm stellar masses? It is a mystery to me and the second leg upon which The Story of Climate Change rests. We do however, live in a metaphorical world. We do many things and think many thoughts because we believe that a carbon dioxide climate driver narrative is true. We can play at that game too. Shall we proceed as if The Story of Climate Change were also true? Beautiful stories may not be wholly true but they can inspire us to venture beyond the mundane – now that’s when the real fun begins.

Let’s imagine …

Let’s imagine the near future, say, 10 to 20 thousand years hence. I think we might assume that humanity will still be the dominant species on the planet as it has been since our exodus from mother Africa about 70 thousand years ago. Shall we consider the future climate landscape if anthropogenic carbon dioxide forces the Earth into a new Hot House environment 5 to 10 degrees Celsius warmer than today? Would you imagine that our climate in 10 thousand years would resemble the Hot House Cretaceous Period of around 75 million years ago? The climate of the dinosaurs. Would we see no polar ice caps, sea levels 300 to 600 feet higher than today, CO2 levels as high as 2000 parts per million – 5 times higher than today, and forests on Antarctica? If we did enter a Hot House how long would it last? Would the Hot House end on its own – if so, why would the temperatures fall? The pattern and periodicity of real paleoclimate change however, do not seem to be well explained by weathering, subduction, and volcanic activity cycles throughout Earth’s geologic past

Of course we would not be forced into a new Hot House. Remember, a Hot House is manifested by inter-arm space crossing during our galactic orbit. Our planet will remain within the cold Sagittarius spiral arm for another 120 million years or so – driving cloudier and cooler climates. We will linger near in-plane within this arm for another 2 to 3 million years driving cloudy and cool climates. The Milankovitch planetary orbital cycles can then show their influence by driving the climate to oscillate between cold glacial expansion and warm inter-glacial periods. 

Where are we now? First, we are fully in-plane with the Milky Way and experiencing maximum cosmic radiation with maximum propensity for aerosol and cloud formation. We have been in the Pleistocene Ice Age for about 3 million years. We are in the middle of this most recent 20-thousand-year interglacial period. In 10 thousand years, a mere 300 generations, we will be at lowest planetary obliquity and sliding into the next 80-thousand-year period of glacial expansion. Just a few hundred years after glacial inception the higher latitudes would be uninhabitable with the massive expansion of sea ice onto the continents as glaciers. As the ice expands it makes the albedo of our planet more reflective – returning more sunlight back to space and cooling things off even more. This is ice albedo feedback in action. A runaway Ice albedo process is thought to explain the Snowball Earth scenario 640 million years ago during the Cryogenian period. In 600 generations, 20 thousand years from now, we will be in the cold depths of the expanding ice age. About 1 hundred thousand years the Milankovitch cycles will find a resonance when both obliquity and eccentricity move higher providing more insolation to the higher latitudes. This breaks the ice albedo feedback loop, reversing ice expansion and initiating the next warm interglacial period.

Over the next 3 million years, as the out-of-plane orbital motion of our planetary system reduces cosmic radiation, cloud cover will be reduced driving temperatures warmer. This Pleistocene Ice Age will finally dissipate, leaving behind these glacial-interglacial oscillations – for now. What goes up must come down. In about 15 million years we will reach maximum out-of-plane position with the accompanying warmest temperatures. Our star system once again proceeds back into the galactic plane cooling the planet. 30 million years from now, while crossing deeper into the Sagittarius spiral arm, we will once again be fully in-plane receiving the highest cosmic ray flux, resulting in more ionization, and maximum propensity for cooling cloudiness and glaciers returning. This will mark the entry into the next Ice Age. Since our climate is cyclic, the past climates will be repeated – with a replay of the Marinoan Ice Age of 640 million years ago.

The big wheel keeps on turning

In about 120 million years we will finally cross the Sagittarius spiral arm. We will exit this Ice House with its periodic glacial ages and enter the next Hot House inter-arm space on our way into the next spiral arm region – the Perseus arm. Round and round we go.

With this knowledge and climate foresight of a cooling, icier world what should we do? It is hard to imagine, but we could organize this super organism we call humanity and implement a plan for adapting to the coming cold snap. Albedo modification, space-based solar mirrors driving back the continental and sea ice termini, and CO2 emission expansion might not be powerful enough climate weapons to fight mother nature.  But, maybe by then, the climate alarmists would be warning us about the real problem. Humans are notoriously short sighted though – much like the proverbial frog in a slowly freezing pond – before we even realize it, the brutal physics of cold finally catches up with us.

Mission to Jupiter’s icy moon, Europa, begins on October 10th…amazing work by Galileo 400+ years ago on the largest planet in our solar system and its moons

Galileo turned his primitive telescope towards Jupiter in the early 1600’s and saw tiny specks of light with no discernable features. What a difference 400+ years can make as today’s backyard telescopes can resolve Europa’s disk surprisingly well. Europa is now considered one of the most complex and fascinating worlds in the solar system. Cracks, ridges, and chaotic terrain on the moon’s icy crust may offer access to one of the largest oceans in the solar system–and a possible abode for aquatic life.

From Watts Up With That?

Overview

Galileo turned his primitive telescope towards Jupiter in the early 1600’s and saw tiny specks of light with no discernable features. What a difference 400+ years can make as today’s backyard telescopes can resolve Europa’s disk surprisingly well. Europa is now considered one of the most complex and fascinating worlds in the solar system. Cracks, ridges, and chaotic terrain on the moon’s icy crust may offer access to one of the largest oceans in the solar system–and a possible abode for aquatic life. NASA’s Europa Clipper spacecraft, due to launch one week from now on October 10th, will conduct a detailed reconnaissance of the moon’s surface to help plan future missions including a lander and perhaps even a submarine. Europa Clipper’s main science goal is to determine whether there are places below the surface of Europa that could support life.

Discussion on Europa and the mission

Europa is a world that shows strong evidence for an ocean of liquid water beneath its icy crust which could very well host conditions favorable for life. NASA will place a highly capable, radiation-tolerant spacecraft named “Clipper” into a long, looping orbit around Jupiter to perform repeated flybys of the icy moon. In fact, the plan is to have 49 flybys of Europa at closest approach altitudes as low as 16 miles, soaring over a different location during each to scan nearly the entire moon. With its massive solar arrays and radar antennas, Europa Clipper will be the largest spacecraft NASA has ever developed for a planetary mission. The spacecraft needs large solar arrays to collect enough light for its power needs as it operates in the Jupiter system, which is more than five times as far from the Sun as Earth. The spacecraft will be about 16 feet (5 meters) in height. With its arrays deployed, the spacecraft spans more than 100 feet and has a dry mass (no propellant in the tanks) of 7,145 pounds. The launch date for this spacecraft is currently set for Thursday, October 10th with arrival at Jupiter in April 2030.

Credit: NASA/JPL-Caltech

Because Europa is bathed in radiation trapped in Jupiter’s magnetic field, Europa Clipper’s payload and other electronics will be enclosed in a thick-walled vault. This strategy of armoring up to go to Jupiter with a radiation vault was developed and successfully used for the first time by NASA’s Juno spacecraft. The vault walls – made of titanium and aluminum – will act as a radiation shield against most of the high-energy atomic particles, dramatically slowing down degradation of the spacecraft’s electronics.

For Europa to be habitable, it needs the essential building blocks for life including carbon, hydrogen, oxygen, and sulfur. Liquid water is essential for the complex chemistry that makes life on Earth possible. Many scientists predict a salty ocean lies beneath the surface of Europa which has more water than all of Earth’s oceans combined. While the icy moon of Jupiter is far from the sun, Europa gets the energy to sustain life from Jupiter’s strong gravity which creates tides that stretch and tug the moon producing heat. One of the most important measurements by the Galileo mission which previously explored Europa showed how Jupiter’s magnetic field was disrupted in the space around Europa. The measurement strongly implied that a special type of magnetic field is created (induced) within Europa by a deep layer of some electrically conductive fluid (like saltwater) beneath the surface, which interacts with Jupiter’s strong magnetic field.

The amazing work of Galileo

Peering through his newly-improved 20-power homemade telescope at the planet Jupiter on Jan. 7, 1610, Italian astronomer Galileo Galilei noticed three other points of light near the planet, at first believing them to be distant stars. Observing them over several nights, he noted that they appeared to move in the wrong direction with regard to the background stars and they remained in Jupiter’s proximity but changed their positions relative to one another. He later observed a fourth star near the planet with the same unusual behavior. By Jan. 15, Galileo correctly concluded that they were not stars at all but moons orbiting around Jupiter, providing strong evidence for the Copernican theory that most celestial objects did not revolve around the Earth. In March 1610, Galileo published his discoveries of Jupiter’s satellites and other celestial observations in a book titled Siderius Nuncius (The Starry Messenger).

Top: Two of Galileo’s telescopes. Bottom: Page from Galileo’s notebook about his observations of Jupiter’s satellites. Credits: National Geographic, gabrielevanin.it, University of Michigan Special Collections Library.

As their discoverer, Galileo had naming rights to Jupiter’s satellites. He proposed to name them after his patrons the Medicis and astronomers called them the Medicean Stars through much of the seventeenth century, although in his own notes Galileo referred to them by the Roman numerals I, II, III, and IV, in order of their distance from Jupiter. Astronomers still refer to the four moons as the Galilean satellites in honor of their discoverer. The German astronomer Johannes Kepler suggested naming the satellites after mythological figures associated with Jupiter, namely Io, Europa, Ganymede, and Callisto, but his idea didn’t catch on for more than 200 years. Scientists didn’t discover any more satellites around Jupiter until American astronomer E.E. Barnard found Jupiter’s fifth moon Amalthea in 1892, much smaller than the Galilean moons and orbiting closer to the planet than Io. It was the last satellite in the solar system found by visual observation – all subsequent discoveries occurred via photography or digital imaging. As of today, astronomers have identified 79 satellites orbiting Jupiter.

Meteorologist Paul Dorian
Arcfield
arcfieldweather.com

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