
Deep inside the super-dense hearts of exploding stars, gravity may squash neutron particles from spheres into cubes.
The idea could mean that neutron stars, as researchers call the stellar corpses, are denser than anyone expected. It could also question what stops them from collapsing into black holes and out of existence.
“If you take this result purely at face value, it means neutron star theoreticians are in trouble. [Neutron stars] should collapse into black holes at lower masses,†said theoretical physicist Felipe Jose Llanes-Estrada of Complutense University of Madrid, co-author of a study published Aug. 9 on the prepublication server arXiv.
“But that’s not what we observe. It’s possible there’s an additional repulsive interaction [between neutrons] to counter a collapse that we just haven’t thought of yet,†he said.
A star between nine and 20 times the sun’s mass detonates as a supernova toward the end of its life. At that weight, a star isn’t heavy enough to create a critical, ultra-dense state and shrink into a black hole. Instead, its core collapses into a sphere no bigger than 15 miles wide and so dense that a single teaspoon of it weighs as much as everyone on Earth, multiplied by 18.
Late last year, astronomers discovered the biggest-ever neutron star, called J1614-2230, that weighed in at 1.97 times the sun’s mass.  Prior to its discovery, the most massive neutron star weighed 1.67 solar masses.
The find left more than a few astrophysicists scratching their heads. Its existence ruled out some models of neutron stars that relied on exotic forms of matter and can’t explain the halt in the collapse of such a heavy object. Instead, the discovery supported models of neutron stars as containing only neutrons and protons.
When Llanes-Estrada and his university colleague Gaspar Moreno Navarro heard of J1614-2230, they wanted to know what might be happening inside of it.
The duo knew of a model from the 1970s suggesting pure neutrons could form a crystal lattice under incredible pressure (similar to how carbon forms diamonds in the bowels of the Earth). When they tweaked a familiar computer model to incorporate the idea, they discovered that — at the pressures anticipated deep in neutron stars — neutrons deformed from spheres into cubes.
“There’s an optimum packing density with spheres, including neutrons. It’s about 74 percent. No matter how efficiently you arrange them, like oranges on display at a supermarket, there’s always space in between,†Llanes-Estrada said. “If you want to be most efficient, you distort the oranges. Pack them a mile high and squish the ones on the bottom.â€
Gravity shapes aggregate particles of matter into the simplest, most efficiently-packed object possible, normally a sphere like the Earth. The particles themselves, though, remain individually unaffected; gravity is too weak to overcome the strong interactions that hold neutrons and other particles together. But if gravity becomes intense enough, it might overpower the interactions.
So deep within the newly discovered neutron star — which may have a core pressure two times higher than the rest — a neutron’s most efficient shape may be a cube. “They’ll be flattened on all sides, like dice†starting at pressures found about 2.5 miles below the surface, Llanes-Estrada said.
So far, responses to the study have proven lukewarm.
Particle physicist Richard Hill of the University of Chicago, for example, noted the study looks at a neutron in isolation, not in aggregate.
“It’s an interesting idea, but what happens among the neutrons isn’t clear,†said Hill, who wasn’t involved in the study. At the densities in neutron stars, he noted, the “identities of individual neutrons may be blurred out.â€
Llanes-Estrada acknowledged the criticism, which a second physicist who wished to remain anonymous also shared. But Llanes-Estrada said that pushing boundaries was, in part, the point.
“I think there is a large uncertainty of what happens to neutrons at very high compressions,†he said. “We should keep studying all of the possibilities.â€
Updated: Aug. 17, 2011; 8:45 a.m. EDT

Images: 1) Illustration of a neutron star. (NASA/JPL-Caltech) 2) As pressure and density in a neutron star go up, normally sphere-like neutrons might take on an increasingly cubic shape. (F.J. Llanes-Estrada and G.M. Navarro/arXiv.org)
Via: MIT Technology Review
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Love the One You’re With
After C. S. Lewis lost his wife, Helen, to cancer, he realized he didn’t have a single good picture of her. Maybe that’s hard to grasp in our culture of profile pics from every angle, but he wasn’t upset about it. In fact, he saw the distinct advantage of lacking a quality image of his wife. He wrote:
How could a photo of the woman he loved become a snare? Because in the absence of the real person, he saw his tendency to fill the image with his own fancy. In fact, this was one of the prominent themes for Lewis in A Grief Observed. He was terrified at the prospect of shaping Helen into a phantom of his own making. Particularly alarming was his inclination to long for certain aspects of Helen’s personality more than others. Of course he would never intentionally import something fictitious about her, but, he mused, “won’t the composition inevitably become more and more my own?†What worried Lewis most was that Helen would become to him merely an extension of himself, of his old bachelor pipe-dreams.
Spousal Resistance
Lewis illuminates an overlooked gift in marriage: spousal resistance. I am not talking about red-faced tension or caustic defiance. I mean the simple fact that your spouse is a real person whose very existence will not conform to the image you have of him or her. Spousal resistance anchors you to reality, a reality in which God calls you to love your actual spouse, not your preferred one. Lewis observed:
And, I would argue, when she is alive, too. As odd as it sounds, we can be thankful for the thousands of little disagreements that season the marital relationship, the countless differences of perspective that make it alive. These indicate that you are interacting with an independent being, one you’ve been entrusted with to love sacrificially.
The Original and Best
The very essence of sacrificial love is accommodating another rather than expecting another to accommodate self. Taking Lewis’s insight, then, we should be suspicious of our tendency to admire only those characteristics we approve of in our spouse and to revise those we don’t. When remembering a deceased spouse, this is bad enough; you aren’t loving her, but an edited memory of her. When serving a living spouse, it is worse; you aren’t pursuing her, but what you hope she would be. Far better is to love the original, not your revised edition. After all, you’re an original, too.
Loving the original requires lifelong adjustment on your part, and this deference is a key proof of the marital love that Christians are called to (Eph. 5:21-33). Don’t be discouraged when you don’t see eye-to-eye with your spouse. Where there is no disagreement, no annoyance, no resistance, there is no opportunity for sacrifice. If we love only what is pleasing to us in our spouse, we are loving only our preferences. We don’t need the gospel to do that.
We do need it to free us from our tendency to adjust one another constantly to our liking. Jesus came to serve an impulsive Peter, a distracted Martha, a dubious Thomas. And he came to serve a silly person like each one of us. And yes, Christ’s redemptive love changes us by degree, but this change is about conformity to righteousness, not conformity to personal preference.
So if your wife laughs too easily for your taste, love her for it. If she’s more pessimistic than you prefer, minister to her fears. If your husband is quieter in social gatherings than you’d like, be grateful for it. If he has more difficulty making plans than you think reasonable, come alongside happily. In all the little spousal resistances, celebrate the privilege of loving a person, not an image.
As Lewis said, reality is iconoclastic. And thank God this is especially true in marriage.
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