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iBook The Future of the Universe - 6. Stars Transformed

6. Stars Transformed 


In the preceding chapter we examined the ways in which an aging Sun might be rejuvenated and how the timescale over which life might be supported within the Solar System can be prolonged. In this chapter the focus will shift toward the broader question, which asks whether any galactic civilizations might have managed to alter their parent stars into a long-lived state. Revisiting Carter Physicist Brandon Carter has argued (recall Chapter 1) that the most likely time for an intelligent species to emerge is that corresponding to TMS, the main-sequence lifetime of the planetary system’s parent star. In this sense most intelligent species are likely to appear, if indeed they appear at all, at a time close to that in which the habitability zone is about to dramatically shift outward in response to the parent star becoming a red-giant. Stars with planets that have ages close to their main-sequence lifetime limits, therefore, are perhaps the most likely candidates for which the effects of rejuvenation might be evident. Indeed, in these systems the imperative to rejuvenate the parent star is at its highest for any late-emerging intelligent civilization. An Exoplanet Review As of this writing, astronomers have detected 252 extrasolar planets in orbit around 204 stars,1 and the numbers keep growing every month! Age estimates have been made for a good number of the parent stars12 to exoplanetary systems and the age, expressed as a fraction of the main-sequence lifetime, for 123 of these stars is shown in Figure 6.1. The number of stars in each bin is not 181 182 Rejuvenating the Sun and Avoiding Other Global Catastrophes 0 2 4 6 8 10 12 14 16 18 20 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 Age / Main sequence lifetime Orbit reorganization Dyson sphere construction Star-engineering Interstellar migration Systems ‘sterilized’ Sun Figure 6.1. Age distribution of stars (expressed as a fraction of the mainsequence lifetime) known to support planetary systems. Superimposed on the diagram are the approximate time windows when planetary, as well as star-engineering and interstellar migration, might be initiated. of specific relevance in this study, other than it being non-zero, but it can be seen that a complete main-sequence age spread has been sampled from 0.0 < Age/TMS < 1.6. About 56 percent of the planetary systems with published age estimates are associated with stars that are more than halfway through their main-sequence lifetime. There are 17 planetary systems in orbit around stars that have completed between 75 and 90 percent of their main-sequence lifetimes, and six systems that orbit stars that are within 1 percent of completing their main-sequence lifetime limit. The properties of the latter six systems are shown in Table 6.1. Superimposed on Figure 6.1 are a set of suggested time windows when a civilization might wish to engage in the redesign of its planetary system. Clearly, we are many generations away from the initiation of any truly large-scale space engineering projects in our Solar System, and perhaps some 5 million years away from the initiation of any such endeavors. At this advanced time our Sun will be halfway through its main sequence. On this basis, the first possible appearance of engineering-related phenomena (i.e., Dyson spheres, or partial stellar wraps) in relation to planet-supporting systems might be seen when Age/TMS ∼0.5. As outlined in Chapter 4, if orbit manipulation or star-engineering Stars Transformed 183 Table 6.1. Properties of the planetary systems with parent stars within 1 percent of their main-sequence lifetime limit. The last column refers to the study by Brian Jones and co-workers who looked at the possibility of stable orbits existing within each system’s habitability zone (HZ). A ‘Yes’ indicates that stable orbits are possible; ‘No’ indicates that no stable planetary orbits are possible. Star Mass (M Age/ Tms MPlanet/ MJupiter (a, e) of planet’s orbit Habitability HD4308 0.83 0.98 0.05 (0.1, 0.0) Yes HD99109 0.93 0.98 0.5 (1.1, 0.09) ? HD190360 0.96 1.07 1.5 (3.92, 0.36) Yes 0.06 (0.13, 0.01) HD213240 1.22 0.93 4.5 (2.03, 0.45) No HD216435 1.25 1.03 1.2 (2.6, 0.14) No 70 Virginis 1.1 0.94 7.4 (0.48, 0.4) Yes options are going to be initiated then, in the case of our Solar System, these must start within the next 1 to 1.5 billion years (i.e., when the Sun has completed about 60 percent of its canonical main-sequence lifetime). If no large-scale engineering takes place within a planetary system that has reached the limit Age/TMS ∼1, interstellar migration might be initiated. And, again, if no system ‘redesign’ is initiated within a life-supporting planetary system, then once Age/TMS > 1 for the parent star, the previously nurturing habitability zone will be sterilized and all life (if it evolved) will be killed off. The fact that there are some stars with Age/TMS > 1 in Figure 6.1 underscores the point made in Chapter 1 and Chapter 4, that parent star aging is a problem that must have already been faced by some galactic civilizations (although it must be emphasized that we do not know for certain if any of the systems listed in table 6.1 host planets capable of supporting advanced life forms). Brian Jones and co-workers3 at the Open University in the UK have numerically investigated the possibility that Earth-like planets might exist in stable orbits within the habitability zones of most of the known planetary systems. In many cases they find that stable orbits can exist and, for the six systems listed in Table 6.1 (see last column), three might potentially support habitable planets. In addition, 26 of the 152 exoplanetary systems studied by Jones and co-workers with Age/TMS > 0.65 allow for stable orbits to exist 184 Rejuvenating the Sun and Avoiding Other Global Catastrophes Table 6.2. Exoplanetary systems that are known to have circumstellar dust disks. The disk extent data (fifth column) is taken from Trilling and coworkers.4 The last column refers to the possibility of stable planetary orbits within the system habitability zone, as deduced by Jones and co-workers.3 Star Mass (M Age/Tms N(planets) Disk extent (AU) Habitability 55 Cancri 1.03 0.6 4 ∼20 to 70 Yes CrB 0.95 0.6 1 ∼30 to 80 Yes HD210277 0.99 0.7 1 ∼40 to 100 No within their habitability zones. Time and improved ground-based observations will tell, of course, if there are any Earth-like planets within the habitability zones of the systems identified, but the possibility is certainly intriguing. A survey of the properties of known exoplanetary systems having parent stars with Age/TMS > 0.6 reveals that 55 Cancri, Corona Borealis, and HD 210277 have associated circumstellar disks.4 Table 6.2 presents a summary of these three systems. The presence of disks around these stars is certainly interesting for a number of reasons, not least from the point of view that they might be an indication of systems undergoing ‘redesign’ or star-engineering. It is not our intent to say that the exoplanetary systems with disks must support advanced civilizations in the process of large-scale engineering, but that the available data supports the possibility of them hosting ancient civilizations. The fifth column in Table 6.2 indicates that the observed dust disks appear to begin at distances of between 20 to 40 AU from the parent stars. Within our Solar System the inner edge of the Kuiper Belt is located at about 40 to 45 AU from the Sun, so by analogy the exoplanets sporting dust disks apparently have Kuiper Belt-like regions composed of large ice/silicate objects of their own. The Case of the Blue Stragglers Sounding something like an adventure from the archives of Sherlock Holmes, the blue stragglers have long been a mystery to astronomers. They are oddities in that they have apparently evolved in a different way to their similar-aged and similar-mass companions. Stars Transformed 185 The blue stragglers stand out from their neighbors as a consequence of the gregarious nature of stars. Rather than producing isolated stars – one at a time, here and there – nature shows a distinct preference for producing stars in relatively compact clusters. Indeed, dotted throughout the plane of our Milky Way galaxy, there are numerous open clusters5 containing between a few hundred to several thousand stars. With characteristic dimensions of just a few parsecs across, galactic clusters provide astronomers with a very useful test bed for stellar evolution models. Since all the stars in a given cluster formed at the same time out of material with the same composition, and because they are all at essentially the same distance away from us,6 then any observed variations in luminosity and temperature, from one star to the next, must be solely due to differences in their mass. When a cluster Hertzsprung-Russell (HR) diagram is constructed, the lower mass stars will be located on the mainsequence, since the main-sequence lifetime of a star decreases with increasing stellar mass, while the more massive stars will have evolved to become red-giants. As the age of the cluster increases, so the mass of a star that can remain on the main-sequence (that is, not having evolved into a red-giant) decreases. Given the rapid evolution toward lower surface temperatures with the exhaustion of hydrogen within the core of a star, the cluster main-sequence develops a distinct turn-off point beyond which no stars will fall on the main-sequence. As the cluster ages, the luminosity and temperature of the turn-off point in the HR diagram decrease. The oddity of the blue stragglers is that they are cluster members found in the vicinity of the main-sequence, but beyond the turn-off point determined by their companion stars. Figure 6.2 shows the blue straggler region in a schematic cluster HR diagram. With reference to Figure 6.2, the blue part of blue straggler refers to the fact that the stars are typically hotter than the mainsequence turn-off point, while the straggler part refers to the fact that other stars of the same mass, formed at the same time, have evolved into red-giants. Therefore, the question that follows is, why? What is it about blue stragglers that have made them evolve differently? 186 Rejuvenating the Sun and Avoiding Other Global Catastrophes Main sequence MS Turn-off Giant branch ⇐ Temperature ⇑ Luminosity MS continuation Blue stragglers Figure 6.2. Schematic HR diagram for an old cluster of stars containing blue stragglers. The normally evolved stars delineate the main-sequence and the giant branch. The region where the blue stragglers are found is a continuation of the main-sequence, but beyond the main-sequence turnoff for the cluster. Some blue stragglers are also found to have higher temperatures than similar-mass stars located on the main-sequence. The observed location of blue stragglers in the HR diagram compares favorably with the predicted temperatures and luminosities expected for fully mixed stellar models as shown in Figure 5.2 Over the last 50 years a number of distinct formation scenarios have been developed for the blue stragglers. Among the suggested origins are the following: 1. They are stars that formed much later than their companions in the cluster. 2. They are young stars captured by the cluster. 3. They are stars that have accreted additional material from the surrounding interstellar medium, thereby increasing their mass, surface temperature, and luminosity, and have accordingly moved up the main-sequence. 4. They are coalesced stars produced by two stars actually colliding. 5. They are the result of a mass exchange between the two stars in a binary system. 6. They are stars that have undergone quasi-homogenous evolution. 7. They are stars containing a centrally accreting black hole. Stars Transformed 187 Of the scenarios listed above the first three and last two seem to be the least popular among modern astronomers, at least as a general explanation, although there are no physical reasons to suppose that these scenarios could never apply. Scenarios 4 and 5 have been studied extensively in recent years and certainly appear capable of producing stars that qualify as blue stragglers. Scenarios 6 and 7 might, in some sense, be viewed as nature’s version of the engineered stars that our descendants and advanced extraterrestrial civilizations might try to produce.7 Craig Wheeler (University of Texas, Austin) introduced the term quasi-homogeneous evolution8 to describe the partial extra mixing that was being invoked to produce the straggling effect. Full mixing of a star and red-giant phase elimination was not something that Wheeler was specifically trying to produce in his blue straggler models. In addition, as illustrated in Figure 5.1, a fully mixed star will eventually evolve ‘blueward’ to surface temperatures much hotter than that of the main-sequence. Most, but not all, blue stragglers have surface temperatures consistent with those expected for ordinary mainsequence stars. There are a number of ways in which nature can apparently produce blue stragglers, with the cluster environment typically dictating which scenario operates most efficiently. Stars are more likely to collide and coalesce to produce blue stragglers in more densely populated clusters, for example, than sparsely populated ones. This being said, a star that has been engineered into a homogeneous, long-lived state (as described in Chapter 5) would also take on many of the characteristics of a blue straggler. In particular, a homogeneous star evolving with mass-loss such that the ratio L/d2 remains constant (Figure 5.3) will evolve upward along the main-sequence, mimicking the blue straggler effect. In other words, an engineered star might, at least initially, be indistinguishable from a naturally produced blue straggler. Of course, not all blue stragglers have been engineered, but these stars are probably good candidates to study for additional signs that might betray an artificially engineered origin. What characteristics might an engineered star have that would make it distinguishable from a naturally formed blue straggler? First, the environment in which the blue straggler is found could be a good indicator. It is highly unlikely, for example, 188 Rejuvenating the Sun and Avoiding Other Global Catastrophes that an isolated blue straggler, or one in a low-density cluster, will have been formed via a collision or through the capture and accretion of additional interstellar medium (in other words, Scenarios 1 to 4 listed above are unlikely to apply). Further, if no companion star is detected, then Scenario 5 can also be ruled out, leaving just the mixing and accreting black hole scenarios. The two mechanisms that are usually invoked to produce extra mixing are rapid rotation and strong internal magnetic fields. Both of these phenomena provide non-thermal pressure support within the interior of a star, and this enables the star to run at a slower evolutionary rate than a similar-mass star without additional pressure support. Certainly some blue stragglers show clear signs of supporting strong surface magnetic fields and some also show signs of rapid rotation, but the observations are by no means complete (or easy to obtain). Some blue stragglers also show clear signs of having undergone extensive, additional mixing.9 All in all, therefore, it is not entirely clear how an engineered star might look significantly different from a blue straggler produced through the natural mixing scenario, at least to begin with. Perhaps the best blue straggler candidates for further study with respect to the possibility of having been engineered are those with the highest surface temperatures (resulting from their being fully, rather than partially, mixed stars). If such stars also show indications of having strong magnetic fields (related to the magnetic mass-loss engines described earlier), and if they also show indications of mass-loss, then these stars might just be the ones undergoing rejuvenation by an advanced extraterrestrial race. Recently, Orsola De Marco (American Museum of Natural History) and co-workers10 have discovered four blue stragglers that have low-mass circumstellar disks with estimated radii of order 0.1 AU. Such disks might be the result of rapid rotation, or they might possibly be composed of the material being ejected from a star by a polar mass-loss engine (Figure 5.5). All the blue stragglers with disks are located within ancient globular clusters and are, therefore, already old stars. Should planets exist around such earlyformed, relatively metal-poor stars, then their ancient heritage should favor the appearance of intelligent life. Stars Transformed 189 The Time of Their Lives In the last chapter it was argued that there was little advantage in seeding the Sun with a low-mass black hole in order to prolong its lifetime. Indeed, it is shown in Appendix B that the black hole mass increases exponentially with time, and the time for a lowmass black hole to consume the entire Sun is of order Tconsume ∼1 billion years. For humanity this timescale is not of great use, but for an intelligent civilization emerging in a planetary system in orbit around a star more massive than the Sun, 1 billion years might be of great importance with respect to survival. Equation (B.6) reveals, for example, that Tconsume > TMS once the mass of the parent star is greater than about 2 M. The black hole consumption time is nearly 2½ times greater than the canonical main-sequence lifetime for a 3 M star. For civilizations that emerge in planetary systems with parent stars more massive than the Sun, the black hole seeding scenario might, therefore, buy a useful amount of time. Martyn Fogg has developed a detailed model describing accretion-powered blue stragglers, and suggests that they might represent stars seeded with the primordial mini black holes postulated by Stephen Hawking (University of Cambridge, UK).11 Although astronomers have not been able to confirm the presence of very low-mass black holes in interstellar space, some recent speculations concerning the formation of ball lightning on Earth may indicate that such objects really do exist. Although it is certainly a controversial proposal, plasma physicist Pace VanDevender has argued that long-lasting ball lightning events might be explained in terms of very low-mass, 1 (?) million kg,12 black holes. VanDevender suggests that such minuscule black holes might form GEAs, the gravitational equivalent of an atom, in which the black hole acts as the nucleus around which atoms (rather than electrons) move within bound and stable orbits. All the above being said, the actual existence of low-mass black holes still remains highly uncertain at the present time, but should they exist – and provided a civilization can locate, transport, and then use one to prolong the main-sequence lifetime of its parent star – it is presumably among the more massive blue stragglers where such seeding might be evident. These are the stars with the shorter canonical main-sequence lifetimes and for which Tconsume > TMS. 190 Rejuvenating the Sun and Avoiding Other Global Catastrophes This situation is probably not common, however, since the time for life to first appear and then evolve into an intelligent form around, say, a 2 M star would have to be compressed into an uncomfortably short 1 billion years or less. Under Construction One of the problems inevitably encountered when trying to identify engineered stars is that many of the controlling processes that an asteroengineer might try to employ have natural counterparts. At some level, virtually all stars lose mass and have magnetic fields. Perhaps, therefore, the signs of ongoing stellar rejuvenation might be more readily identified by the debris and system reorganization being directed by the engineers. Among the various possibilities one can list are: • Extensive Kuiper Belt-like and asteroid-belt-like debris clouds in older stellar systems – such debris resulting from asteroid mining and the deliberate rearrangement of terrestrial planet orbits. • Bright optical flashes (periodic and non-periodic) due to nearspecula reflection from large solar sails involved in the dynamical reorganization of system orbits (Figure 4.5). • Periodic transits of a star by objects with distinctive, non-natural shapes (i.e., squares, louvers, and triangles), as suggested by Luc Arnold. • Terrestrial planets with orbits that should be unstable given the age of the host star and the orbital radii of its companion planets. Such orbits would have to be continuously andactively maintained. • Terrestrial planets with atmospheres betraying odd or even biotic chemistry, yet not situated in the habitability zone. Such observations would suggest terraforming in action. • Rapid (milliseconds) brightness variations due to Dyson sphere islands transiting the disk of a parent star. • Periodic X-ray emission from a Sun-like star due to the accretion of material onto a black hole undergoing oscillatory motion within its interior (Figure 5.3). The X-ray emission will be detected only when the black hole is close to the surface of the Stars Transformed 191 host star, and the emission variation will have a period of about three hours. • Stars with distinctive asymmetric mass-loss (Figure 5.6). Such an effect might be associated with a dwarf star close to or approaching a Sun-like star. The star-lifting of the dwarf would have been initiated to head off a close encounter with the Sunlike star’s surrounding cometary cloud. • Stars with unusually high abundances of helium relative to hydrogen. As a fully mixed star ages and the hydrogen is consumed throughout its interior, the He/H ratio will increase. • Repeated brightness variations of a star associated with the passage of a giant ramscoop through its outer atmosphere (recall Figure 5.4). • Stars with close-in (less than 1 AU) low-mass circumstellar disks produced by rapid spin induction or by a polar mass-loss engine (see Figure 5.5). • Multiple dwarf stars occupying the same orbit (Figure 5.7) around a central star that is undergoing extensive mass-loss. The central star might also betray an unusually strong magnetic field due to the mass-loss driving engines. There must be many more ways than those listed above by which the active and intelligent manipulation of a planetary system might be deduced. All we need to do is spend the time and effort to look, and then we need to look with a non-jaundiced eye. The Search for Extraterrestrial Intelligence (SETI) community has battled long and hard to achieve the levels of its present funding, and this is the situation in spite of SETI being one of the few scientific endeavors that has great public support. If we fail to look (and hope) for the signs of extraterrestrial civilizations within our galaxy, then we may fail ourselves and our imagination. On the Threshold Michel Mayor and Didier Queloz discovered the first exoplanet orbiting a Sun-like star in 1995. Surprisingly, however, the 0.47 Jupiter-mass planet was found to be orbiting its parent star – 51 Pegasus – at a distance of a mere 0.05 AU. Many such hot Jupiterlike planets have now been found, and these worlds are not likely 192 Rejuvenating the Sun and Avoiding Other Global Catastrophes to support intelligent life. To at least be consistent with what we know has occurred within our own Solar System, the goal of future studies is to find an Earth-like planet orbiting a Sun-like star at a distance of about 1 AU. There is no reason why such worlds shouldn’t exist, but detecting them is far from easy.13 We are, however, on the very threshold of being able to identify such planets around nearby stars. In December 2006 the European Space Agency successfully launched its COROT satellite with the aim (at least in part) of detecting Earth-like planets in orbit around nearby stars. The mission name is derived from the title COnvection ROtation and planet Transits mission, and the satellite carries a 27-cm telescope specifically designed to detect planet-sized objects as they transit their parent star. When a transit occurs for a few short hours (depending on the orbit), it blocks a small fraction of its parent star’s light from reaching the spacecraft detector. The satellite’s instrumentation is able to record exceptionally small changes in the brightness of the star being monitored, and this should enable planets larger than about twice the size of Earth to be detected.14 The NASA Kepler mission is due for launch in late 2008 and, like COROT, it will search for sub-Earth-sized planets via transit observations. Named in honor of Johannes Kepler (1570–1630), the satellite will carry a 0.95-m diameter telescope and will be able to measure relative changes as small as 10−4 in brightness. During the spacecraft’s four-year mission its telescope will stare at the same star field and continuously monitor 100,000 stars for the small, telltale brightness variations due to planetary transits. The various satellite components that constitute NASA’s Terrestrial Planet Finder (TPF) mission are currently scheduled for launch between 2014 and 2020. The suite of TPF satellites will be able to study all aspects of the formation and development of Earth-sized planets around nearby stars. Not only will the size, temperature, and location of any planets be determined, but their atmospheric chemistry will also be analyzed, thereby determining whether the planet might presently or someday support life. The detection of ozone or methane or both, for example, would indicate an active biotic system. The mass range of terrestrial planets that might eventually be detected by future spacecraft mission will vary from perhaps a 10th Stars Transformed 193 that of Earth (equivalent to a Mars-sized planet) to a maximum of about 10 times the mass of Earth.15 Terrestrial planets that are smaller than Earth (i.e., Mars-sized planets) will have a low surface gravity and a more rigid crust, upon which high mountain ranges and deep valleys might form.16 The large surface area to volume ratio for smaller planets will also result in their relatively rapidly cooling, leading to a decline in volcanic activity and active crustal recycling (i.e., as required by the carbon cycle; see Figure 2.24).17 Such planetary characteristics are probably not conducive to the emergence and evolution of advanced life forms. Planets more massive than Earth, however, will have hotter interiors, higher surface gravity, and less rigid crusts. Under these circumstances the surface topology is likely to be muted, and maybe such planets will support deep (possibly global) oceans. These latter planetary characteristics are potentially more conducive to the appearance and evolution of advanced life forms. Intriguingly, William Dietrich and J. Taylor Perron (University of California, Berkeley) have recently argued that the existence of life might be betrayed on Earth-like planets by the kinds of topological features that they reveal.18 Specifically, they point out chemical reactions precipitated by biotic activity will have potentially measurable, short-term effects on such processes as rock weathering, soil formation, upland slope stability, and river system dynamics. As of this writing no nearby Sun-like star has been found to harbor a terrestrial planet, nor has any data been obtained to demonstrate the clear-cut existence of life having evolved anywhere in the universe other than on Earth. What is remarkable, however, is that we are literally on the threshold of possibly making such discoveries. Within the next 25 years humanity might actually know the answer to the age-old questions concerning the existence of other Earths and the evolution of ecosystems other than our own. Notes and References 1. The most comprehensive website on exoplanetary discoveries and related publications is located at http://exoplanet.eu. 194 Rejuvenating the Sun and Avoiding Other Global Catastrophes 2. A set of age estimates for planet-supporting stars has recently been published by Carlos Saffe and co-workers [On the ages of exoplanet host stars, Astronomy and Astrophysics, 443, 609–625, (2005)]. To convert the system ages into main-sequence lifetime fractions, recall from Chapter 2 [Equation (2.1)] that the main-sequence lifetime depends upon both the mass and luminosity of a star. Also recall, however, from Chapter 3 that main-sequence stars satisfy a massluminosity relationship. In this manner, the main-sequence lifetime can be written in terms of the mass alone. The observations, nicely summarized by Dr. R. C. Smith [An empirical stellar mass luminosity relationship. The Observatory, 103, 29–31 (1983)], indicate that for stars more massive than 0.4 , the luminosity varies as: L/ L = (M/M 4. Accordingly, for Sun-like stars the main-sequence life time will vary according to the relationship: TMS (yr) = 1010 (M/M) −3. 3. Brian Jones and co-workers, Habitability of known exoplanetary systems based on measured stellar properties, Astrophysical Journal, 649, 1010–1019, (2006). 4. D. E. Trilling et al., Circumstellar dust discs around stars with known planetary companions. Astrophysical Journal, 529, 499–505 (2000). 5. In addition to the galactic (or open) clusters, the galaxy also hosts an extensive halo of globular clusters. The globular clusters are composed of the oldest known stars, with ages ∼12 billion years, and they contain ∼500,000 stars in a region that is ∼20 pc across. 6. This condition holds provided that the size of the cluster D is small compared to its distance d from us. The closest galactic cluster to the Sun is that of the Hyades (visible to the naked eye in the constellation of Taurus), which is about 46 pc away. For this cluster, estimated to be about 800 million years old, D/d ∼0.25. 7. These points were first raised in the article, Blue stragglers as indicators of extraterrestrial civilizations? Earth, Moon and Planets, 49, 177–186 (1990). 8. The seminal theoretical paper on the blue straggler phenomena is that by J. Craig Wheeler, Blue stragglers as long-lived stars, Astrophysical Journal, 234, 569–578 (1979). The idea of quasi-homogeneous mixing was further studied in the paper by Hideyuki Saio and Craig Wheeler, The evolution of mixed long-lived stars, Astrophysical Journal, 242, 1176–1182 (1980). 9. A key indicator of extensive mixing is the lithium abundance of blue stragglers. The fusion reaction 7Li + p ==> 4He + 4He + energy can proceed efficiently once the temperature is above just a few million degrees. The relatively low fusion temperature for 7Li dictates that it is rapidly destroyed once it is mixed into the interior of a star. Stars Transformed 195 In a number of observational studies it has been found that the lithium abundances of the blue stragglers within a cluster are significantly lower that that of the main-sequence stars near the turnoff point. These observations suggest that the blue stragglers have indeed undergone some form of additional mixing. A comprehensive review of the observations relating to blue stragglers is provided by L. L. Stryker in Blue stragglers, Publications of the Astronomical Society of the Pacific, 105, 1081–1100 (1993). 10. See Orsola De Marco et al., A spectroscopic analysis of blue stragglers, horizontal branch stars, and turnoff stars in four globular clusters. The Astrophysical Journal, 632, 894–919 (2005). 11. Martyn Fogg, Accretion-powered blue stragglers. Speculations in Science and Technology, 13 (1), 20–25 (1990). Hawking initially suggested that the solar neutrino problem might be solved by the Sun containing a primordial mini black hole [Gravitationally collapsed objects of very low mass, Monthly Notices of the Royal Astronomical Society, 152, 75–78 (1971)], but this solution is no longer required since the problem has been solved in terms of a new physical understanding of neutrino characteristics. Hawking has further argued that low-mass primordial black holes must eventually evaporate, and produce what is known as Hawking radiation. The evaporation time for a 5 x 1012 kg black hole (which would have a size similar to that of a proton ∼5 x 10−15 m) is about the current age of the universe. 12. VanDevender’s ideas are discussed in Hazel Muir’s article, Black holes in your backyard [New Scientist Magazine, 23/30 December (2006)]. With respect to the non-detection of Hawking radiation, VanDeveren argues that since there is currently no accepted theory of quantum gravity there is, likewise, no compelling reason to suppose that low-mass, primordial black holes must evaporate. 13. In a recent study published by Martyn Fogg and R. P. Nelson [On the formation of terrestrial planets in hot-Jupiter systems, Astronomy and Astrophysics, 461 (3), 1195–1208 (2007)] it is shown that material capable of forming terrestrial planets is able to survive within planetforming disks, even after a Jupiter-mass planet (which formed in the outer part of the disk beyond the boundary where ice can form) has migrated inward towards the parent star. Fogg and Nelson conclude, “hot-Jupiter systems are likely to harbor water-abundant terrestrial planets in their habitability zone.” This result is an important negation of the ‘rare Earth’ hypothesis that has been advocated by some scientists in recent years. 14. A number of planets have now been discovered through the transit detection technique (see Note 1). The first transiting planet was 196 Rejuvenating the Sun and Avoiding Other Global Catastrophes found to orbit the star HD209458 [R. A. Wittenmyer et al., System parameters of the transiting extrasolar planet HD209458b. The Astrophysical Journal, 632, 1157–1167 (2005)]. By studying the brightness variations over repeated transits it is now known that the radius of the 0.66 MJupiter mass planet is 1.35 RJupiter. The planet is slightly inflated for its mass due to its close-in, 0.045 AU radius orbit around the parent star. 15. A study by Diana Valencia and co-workers [Internal structure of massive terrestrial planets, Icarus, 181, 545–554 (2006)] finds that the size of a massive Earth-like planet scales as its mass M according to the relationship M0 27. The radius increases, therefore, by about a factor of 2 when the mass increases by a factor of 10. If a planetary embryo grows to a mass greater than about 10 times that of Earth, it will begin to accrete and retain an extensive envelope of hydrogen and helium, resulting a gas giant (Jupiter-like) planet. 16. We know, for example, that Olympus Mons on Mars is nearly twice as high as Mount Everest on Earth. Likewise Valles Marineris is much larger and deeper than any similar such tectonically formed rift valley found on Earth. 17. The expected properties of various-sized Earths are described by J. J. Lissauer, How common are habitable planets? Nature, 404, C11– C14 (1999). See also Note 11. 18. W. E. Dietrich and J. T. Perron. The search for a topological signature of life. Nature, 439, 411–418 (2006). Climate change (as well as local weather variations) is also dependent upon biotic activity. A climate control example is that of the biotic sequestration of carbon to form carbonate rock deposits, as observed on Earth (see Figure 2.18).

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The Compass of Pleasure : How Our Brains Make Fatty Foods, Orgasm, Exercise, Marijuana, Generosity, Vodka, Learning, and Gambling Feel So Good.  What does it really mean for the brain to experience pleasure? That's the question neuroscientist David Linden asks in his new book The Compass of Pleasure: How Our Brains Make Fatty Foods, Orgasm, Exercise, Marijuana, Generosity, Vodka, Learning, and Gambling Feel So Good. In it, he traces the origins of pleasure in the human brain and how and why we become addicted to certain food, chemicals and behaviors. Linden is a professor of neuroscience at the Johns Hopkins University School of Medicine and the chief editor of the Journal of Neurophysiology . When he spoke with Fresh Air's Terry Gross, he explained that the scientific definition of addiction is actually rooted in the brain's inability to experience pleasure. "There are variants in genes that turn down the function of dopamine signaling within the pleasure circuit,...

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