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In it he reports on a gorilla in a cage who could be brought to phrenetic laughter by his human friend’s pretending to bite him into his toe. Quote: “If you have never seen a gorilla in a fit of laughter, I recommend searching out such a sight before you pass from this world.”

This is absolutely human behavior. If you know about the cross-caring theory, which explains how a young child interacting with his bonding partner is getting “moved” into suspecting benevolence shown towards him, then you realize that the same thing can be accomplished with a caged or non-caged gorilla.

I recently mentioned Margaret Howe, a pupil of my late friend Gregory Bateson’s. There are important insights about the mission of humankind on our planet and beyond (“galactic export”) that would make it a great pity if this “second level of human social evolution on earth and in the solar system” was going to be clipped.

I know I am being impossible, but finding outrageous things that tickle everyone in her or his heart so as to be moved is the real mission of science. I fantasize talking with a gorilla – or orangutan – about the long-stretched “toe” of the visualized Schwarzschild metric of a black hole, both of us laughing.

If you think dolphins are preferable, I shall not object. I found a proof recently, though, that orangutans have the most highly developed brain identified so far. The fact that the latter is lightweight owing to its carrier’s arboreal existence, does not detract from its functional superiority. The proof is based on the mathematics of the traveling salesman problem (second version).

Ray Kurzweil hopes we can build artificial brains of matching caliber soon – via the brain equation, I would add. But it would be fun to first make friends with our hardware-wise stronger natural relatives. Including – perhaps – giant octopuses and mantis shrimps ( https://www.youtube.com/watch?feature=endscreen&NR=1&v=nKgStQ8Scs0 ).

Could CERN not make a tiny little break to admit a “safety-regained discussion” as it could be called in anticipation?

http://www.aljazeera.com/programmes/insidestory/2012/07/2012759585764599.html (at minutes 09:00–10:10, 11:00–12:03, 12:35–13:25, 16:08–17:13) gave me a world-wide forum again. The rest of the media and all colleagues of mine keep their mouths shut.

There is logic behind this schizophrenic world-wide attitude: In case the outlaw is right, one can later always claim that not the whole planet was part of the conspiracy of silence since one high-ranking international outlet reported. However, this strategy is not logical. For if I am right and the worst case materializes, the fig leaf will go under as well.

My class yesterday in which this riddle was touched upon in passing helped me see the mechanism: My results on black holes are too much advanced from the planet-wide accepted lore to be understandable to any colleague.

Imagine the “generic 3-pseudosphere.” Its lower-dimensional analog in ordinary 3-space, the 2-pseudosphere (the so-called Newton pseudosphere) looks like two trumpets with infinitely long, infinitely thinned-out mouth pieces, glued together head-on with their bells ( http://en.wikipedia.org/wiki/File:The_Pseudosphere.jpg ). This smooth monster has the same volume as a sphere of the same (maximal) diameter, and also the same surface area and the same (if negative) curvature: a kind of miracle. Hence the name “pseudo-sphere.”

By cutting it in the middle to take only one half of it, and then making the trumpet generic by giving it a non-zero asymptotic radius – the Schwarzschild radius – at its infinitely far-away tip (and adding one dimension), you get the correct reality of the space surrounding a black hole. Although there is beautiful related work by Yu Tian at al. ( http://arxiv.org/pdf/hep-th/0411004.pdf ), this is beyond the heads of the whole community. They simply cannot follow.

My late friend Benoit Mandelbrot created a storm with the opposite insight – that there are compact finite volumes with an infinite surface area. In the present dual case, the little ant on the flat outer rim of the trumpet, headed for the middle, cannot believe that the way towards the latter (the so-called “horizon”) is infinitely long. No one saw this before.

But this is “art for art’s sake,” is it not? No: this is physics. And, strangely, the survival of the planet hinges on a single person of public clout believing me.

Thank you, everyone, for kindly having bent your mind.

“If the rate of change on the outside
exceeds the rate of change on the inside, the end is near”
- Jack Welch

Complex societies are heavily addicted to expensive, vulnerable and potentially hazardous infrastructure. We rely on a healthy environment for production of food and access to clean water. We depend on technological infrastructure for energy supplies and communications. We are deeply addicted to economic growth to support growing populations and consumption. If one of these pillars of modern society crumbles our existence will collapse like a house of cards.

The interdependencies and complexities of the system we call modern society has become so intertangled that finding a robust and simple solution to our problems has become close to impossible. Historically the cold war gave us the logic of a “balance of terror”. This logic, originally concerned with a balance of U.S. vs. Soviet military capacities, has lead to an increasingly expensive way of reducing risk and ever expanding bureaucracies to keep us “virtually safe”.

With the onset of a global economic recession, drastic climate change, deadly natural disasters, raging civil wars and diminishing natural resources we need a new logic. A set of moral laws for reducing risk and mitigating consequences applicable at a low cost from the bottom up of entire societies.

The concept of resilience is based on the idea that disasters are inevitable and a natural part of existence. Our best defense is preparedness and engineering systems that not only can withstand heavy strains but also absorb damage. The Institute for Resilient Infrastructure at the University of Leeds gives this definition of “Resilience”;

Resilience can also be explained in terms of durability. A durable material, component or system is one which can cope with all the known, predictable loads to which it will be subjected throughout its life. As well as physical loads – stresses and strains – we include environmental loads (e.g. temperature, weather), economic loads (e.g. the scarcity of resources or financial turmoil) and social loads (e.g. changes in legislation or of use, terrorist attack, changes in demography or society’s expectations and demands).

In the 1970s about 100 disasters were recorded worldwide every year. According to the International Disaster Database an average of 392 disasters were reported per year in the last decade. In 2011 we saw record greenhouse gas emissions, melting Arctic sea ice, extreme weather and the earthquake in Japan resulting in the world’s second worst nuclear disaster. Current systems for mitigation of risk are obviously not capable of handling the overwhelming challenges confronting us.

The price tag for disasters in 2011 reached a record high of $265 billion. Most of that cost ($210 billion) came from the tsunami in Japan, but flooding in Australia, tornadoes in the United States and earthquakes in New Zealand contributed substantially. The increasingly turbulent weather patterns wreaking havoc across the planet may only be the beginning of a period of drastic climate change.

In addition to climate change industrial society faces depleted natural resources, degradation of infrastructure and systemic limits to growth. The ongoing economic crisis is a symptom of a deeper structural failure. Governments are running out of options when solving a debt crisis with more debt is the last resort. We rely on short term solutions for long term problems.

We are facing a different type of threat originating from within the system itself, an endogenous and internal failure of our civilizational paradigm. Growing populations stress our dependency on non-renewable resources supported by potentially hazardous nuclear power. The case of the Fukushima nuclear accident illustrates that large population located on limited land is extremely vulnerable to unpredictable events like earthquakes or other catastrophic “wild cards”. From the perspective of risk analysis the state of Japan is a model of the entire planet.

To make the situation even more acute the horizon of Homo Sapiens is full of threats like global pandemics and emerging technologies that could permanently wipe us off the face of the earth. Nanotechnology, synthetic biology and geoengineering hold the promise of a quick fix but also have the potential to cause irreversible harm to the biosphere and human life.

Technology is without a doubt a part of a permanent solution for sustainable life on the planet. The bottom up approach to resilience is about awakening a culture that rewards autonomy and self-sufficiency. Resilience is more than durable engineering. Resilience has to become an obligatory way of thinking and eventually a way of life.

10 robust resilient strategies:
1. Sustain a culture that rewards autonomy and self-sufficiency.
2. Share practical solutions and stockpile resilient ideas instead of canned food.
3. Support intra-generational sharing of knowledge on how to live in accord with nature.
4. Develop alternative economic systems; use Bitcoins and barter when possible.
5. Refine high-tech solutions but favor low tech; HAM radios beat cell phones in emergencies.
6. Grow your own food; become an urban gardener or start a farm revival project.
7. Reduce energy consumption with geothermal energy, local water mills, wind mills and solar panels.
8. Use a condom; think eugenically — act passionately.
9. Keep a gun; if you are forced to pull it – know how to use it.
10. Stay alive for the sake of the next generation.

This article is co-published on Interesting Times Magazine.

The whole within which we find ourselves at every conscious moment is a miraculous gift that we take for granted in our culture. Everything can be understood inside the world, so we believe in science – except for the qualia (like color) and also for the Now which both are non-existent in physics (although this is almost never mentioned).

For 4 days now, something that unlike the qualia and the Now exists within rather than outside the scope of science is just as baffling: the Higgs field. As Matt Strassler explained two years ago, the everywhere constant Higgs field is responsible for the masses of all elementary particles – without an exchange of particles being involved — provided it will be discovered experimentally via the signature of a first field-specific particle. Thus an immutable constant influence makes itself felt inside creation for 4 days. The freshly discovered Higgs particle can be called the first unmistakable miracle found in nature, because it reflects the presence of an everywhere constant field of unknown origin.

The discovery comes with a price tag which is none of its own fault. The machine made to find it was designed so as to also generate a second totally new animal in the hope that at least one of the two would be found: miniature black holes. The latter have eluded finding so far we are told, but this is not certain: a double success cannot be excluded.

This is because a trivial new implication of Einstein’s “happiest thought” of 1907 revealed that black holes possess radically new properties. The latter cause black holes to arise much more readily and make them invisible to CERN’s detectors. In addition they grow exponentially inside matter. Therefore if one specimen gets stuck inside earth, the planet will be eaten inside out after an asymptomatic period of a few years, so as to assume the size of a chestnut while retaining its gravitational influence on the moon.

No one likes this new implication of relativistic physics, published in the African Journal of Mathematics. In the current euphoria about the newly discovered Higgs miracle (a discovery planned to be made more significant by doubling the cumulative collision number during the remainder of the year 2012), there is no chance anyone will waste a thought on this unrelated second possible success of the LHC experiment. Hence no one cares about the new “safety report,” overdue after 4 years, or about the “safety conference” kindly requested by a court on January 27, 2011. When the most illuminating finding of history is waiting to be investigated further, a second sensational effect has lost all interest even if not uplifting but maximally dreadful in character.

Only if Professor Higgs himself spoke up in favor of a brief break in the experiment before the planned doubling in luminosity, would humankind get a chance to have the still valid proof that the dream result achieved is accompanied by the worst nightmare of history, punctured before continuing.

I need to talk to Professor Higgs immediately to win his sympathy and support. Is someone kind enough to introduce me to him?

P.S.: My anonymous colleague Bernd and I discovered today that the Higgs field is (like mass and charge) subject to a locally imperceptible reduction proportional to the gravitational redshift valid relative to the distant stars.

The unknown troubles and attracts us. We long to discover a reason for our existence. We look out to the stars through the darkness of space to observe phenomena incredibly far distances away. Many of us are curious about the things we see, these unknowns.

Yet, many of us look skyward and are uninspired, believing that our time and resources best be kept grounded. Despite our human-centered ideologies, our self-assured prophecies, our religious and philosophical beliefs, no existential rationale seems apparent.

We as people welcome technology into our lives and use it constantly to communicate and function. Scientific discoveries pique the interest of every citizen in every country, and technological revolutions have always preceded social and political revolutions from the creation of the internet back to man’s first use of simple tools. Leaders of nations proclaim the importance of science and discovery to our welfare to be utmost.

But what we have seen done recently contradicts these proclamations: space programs are closed; science funding for schools always falls short; and we see no emphasis of the significance of science in our modern culture. Our governments call for the best but provide capital for only the satisfactory, if even. We no longer succumb to the allure of learning simply for the sake of knowing what we once did not know. We have stopped dreaming.

The exploration of space is as related to earthly affairs as any trek, perhaps even more so, because what we learn along the way directly affects the knowledge we apply to our politics, our religions, societies, and sciences. We learn about ourselves, our dreams, our fears. We learn about our strengths and our weaknesses as nations and as a species. In searching the void all around us we learn how to interact with each other and bridge differences between races, religions, genders, and ideologies. The societies of Earth need to emphasize the importance of discovery and innovation to the longevity of mankind, as well as the very human need for the pursuit of challenge.

We are and always have been an adaptable species capable of creating dreams and accomplishing them. We should seek to explore our new frontier and chase ideas yet to even be conceived. The exploration of space has lifted our human spirit, enlightened us, and has made lucid and close our fragility and responsibilities. Perhaps our inhibitions and worries, and our craving to overcome them fuels our explorative ambitions.

If we desire greater purpose then let us earn it; through hardship to the stars! The sky is no longer a limit, but a starting point. We can define our lives, and our existence, by how we accept and handle the unknown; our significance as humans set forth by our bravery and intelligence. Regardless of our qualms and fears, exploration of the unknown is an intrinsic passion of mankind. Why not remind ourselves of what has advanced us thus far?

As the astrophysicist and activist Carl Sagan said, “We were hunters and foragers. The frontier was everywhere. We were bounded only by the earth and the ocean and the sky.” Let us now explore the boundless, and go forth into the starry-night, fresh and inspired, ready to accept any challenge, just as those before us did, when they first set sail for the unknown.

Read the original post at bmseifert.com.

I congratulate Peter Higgs. And I ask him to forgive me that I raised the “cost” issue in my Aljazeera interview of to date. Not the financial cost, but the cost incurred by humankind: The fact that the doubling of data planned for the rest of the year (up to the scheduled pause for upgrading) will once more double the risk that the planet will be shrunk into a 2-cm black hole after a few years’ delay.

This risk is presently at about 4 percent already. Doubling it is a nightmare – unless a counterproof can be found. Until this aim has been achieved, I herewith ask Peter Higgs to join me in bequeathing CERN for a brief stop until the “doubling of the danger” has been shown to be inconsequential: because the black holes, to which CERN’s sensors are blind by design according to the published proof, have been shown to be absent since the proof has been punctured. The best scientist of the planet may need only hours if we are all lucky.

So far, CERN refuses to address the 4-year-old issue that only grew in strength – by admitting a safety conference. No citizen of the planet understands this ostrich policy. Dear Peter Higgs: will you help us all? No one else on the planet can.

I feel that this easy-to-verify fact is worth reporting by the media.

I admit I am biased because I found a so far un-refuted proof of a concrete danger of unimaginable proportions. So if I publicly ask CERN to update, everyone can say: “He writes this to get his will at last.”

Therefore I apologize for this partisanship of mine and ask other, less personally engaged persons to ask the neutral question of whether or not it is desirable to have an update on CERN’s safety report from early 2008.

ENVIRONMENT & BACKGROUND

China is a rising world power with: increasing international economic power; improving military strength; tumultuous social issues. Exiting from the recent global economic and financial crisis, China sees itself strengthening and growing while America (and much of the ‘Western’ world) struggles to recuperate. This recovery disparity has given support to Chinese sentiment suggesting the superiority of Chinese policy and social culture.

China’s newfound (or newly revived) superiority complex has complicated American interaction with the government, where China now appears to be doing everything it can to avoid looking weak and to resist US/Western influence. With China’s rise, incentives for America to pressure democratization, establishment of free market economics, and improvement of human rights have grown in intensity. The US has very direct interests in the ‘Westernization’ of China and China does see benefits to cooperation, however they seem to resist or avert most American challenges to the Sino-status quo.

AVAILABLE OPTIONS

America can become aggressive, passive, apathetic, or cooperative in its relationship with China. The US could seek to dominate China, let China strengthen its own dominance, ‘step out of the picture’, or work with China to grow and develop both countries simultaneously.

It is more likely that the US will work to cooperate with China, perhaps doing so with a passive-aggressive bias that asserts American interests without direct systemic attempts to alter Chinese institutions. China and the US have committed to positive and cooperative relations, however it can be expected that such a commitment will only be honored as long as it serves the interests of both states.

INFLUENCES

Differences over human rights, domestic/foreign policy, democratization, and economic/financial theory and practice will greatly influence how the two states interact. Economically and politically it behooves both states to cooperate in the short and long runs. Also, much of Asia supports and welcomes American presence in the region. As long as the US restrains itself from imperializing the region and overthrowing China’s presence, and as long as China does not attempt to oust America, a relatively stable base that assures permanent presence of both parties in the region can be used to develop further policy on.

America is influenced by its democracy, free market policies, and strong human rights, as well as its desire to impose these principles on other states. The base previously described provides the US with a simple supportive argument; ‘if we’re both going to interact in the same place, we better learn how to interact productively’. The simple presence of such an argument influences America’s decisions as it provides a point China cannot ignore.

The US is very economically interested and invested in the greater Asian region. America will surely seek out policy that improves US — China relations, however it will levy importance on policy that enhances economic efficiency and effectiveness in the region (perhaps at the expense of US — China relations).

Another great influence on America’s decision making process is the power China has in the international system. As a permanent member of the UN Security Council, China’s ability to veto measures and resolutions greatly affects America’s (perceived) international power. Learning to effectively interact with China would improve international US — Chinese efforts.

FINAL DECISION/RECOMMENDATION

US — Chinese relations should focus around three main points: policy cooperation; healthy economic competition; political and cultural respect.

The US should help China grow as a world power, including it in international issues and decision making processes as well as new and/or existing trade organizations. By helping China to grow it shows America is interested in seeing the country develop rather than restraining it. This will make negotiation easier and will help to keep China from making extremist policy decisions. Cooperation shows desire for mutual progress.

Provision of challenging economic competition motivates economic improvement and progress. China artificially inflates its currency, dramatically boosting its exports. However, China has realized it cannot grow/mature on export economics. The US should focus on aiding China to develop its own domestic market. As China’s economy develops, its growth rate will slow as it begins to peak its international efficiency under current economic conditions. China will not remain a manufacturing economy forever. When export-based economic policy no longer supports the country the way it does now China will have to consider new ways to compete efficiently and effectively, and the best way (and currently only way) to do so is to enact free market economic policies. Establishing and continuing healthy economic competition (with reduction of protectionist barriers) will naturally drive China towards free market economics over time as China becomes dissatisfied with its socioeconomic disparities, low GDP-per capita, lack of economic diversification, and constant threat of unemployment-related unrest.

Henry Kissinger stated, “Lecturing a country with a history of millennia about its need to ‘grow up’ and behave ‘responsibly’ can be needlessly grating”. Including China in important international and regional decision making processes shows respect to Chinese policy makers and culture. China is attempting to assert new power domestically, regionally, and internationally. Though the US is concerned with China’s growing power and influence, America needs to realize the main challenge for China has been to maintain domestic stability while simultaneously maintaing sustainable economic development. By respecting Chinese sovereignty and withholding from direct intervention and overly-aggressive assertion, Chinese policy makers are less likely to become defensive. China is intent on showing the world its strength and capability as an important and powerful international and regional actor. Allowing China to develop respect will give America a long-term edge in policy making. The US does need to constantly voice its stance on human rights, economic development, and democratization, though. Failing to maintain its stance would render the US as weak/defeated in Chinese eyes.

DECISION EXPLANATION/RATIONALE

China does not desire poor relations with the United States. Both the US and China want good, stable relations that maximize the capabilities of the two states to seek their own interests while allowing a degree of economic, political, and social cooperation to exist. However America is the regional hegemon. China seeks to displace America. In seeking to displace America, China will resist American influence.

There is a common Chinese perception that the US is damaged/weakening while China is growing and becoming stronger. China will do anything to prevent itself from appearing weak, influenceable, and without regional/international political, economic, and social clout. Therefore, the US should refrain from attempting to directly influence and intervene in Chinese policy as this will only galvanize Chinese self-inflated power and make current and future cooperation more difficult. China will not accept foreign ideas, suggestions, or demands as this would make it look inferior to and impressionable by foreign states. If the US wants to change China it needs to make China believe itself that US-desired reform is in its best interest.

The US needs to get China to come to democratization, free market capitalism, and associated levels of human rights on its own accord, as US intervention will only make these doctrines less attractive to Chinese policy makers. By cooperating on policy development, continuing economic competition, and respecting Chinese sovereignty (and dignity), the US puts itself in an advantageous long-term relations position.

Read the original post at bmseifert.com.

America has been a spacefaring nation since 1958. Over the past fifty-three years, America overtook its first rival, the Soviet Union (spacefaring since 1957), and maintained its supremacy in the aerospace and aeronautical industries, having the most developed and successful space program, the strongest private aerospace/aeronautical industry, and the most intelligent engineers and scientists. During times where space exploration and advanced scientific research programs seem inappropriate to publicly fund and continue where economic difficulties, contested military actions, and other civil/financial issues seem to demand precedence, it needs to be promoted that NASA (National Aeronautics and Space Administration) is of immense importance to the security and welfare of the United States of America and must remain a national priority. NASA drives STEM (science, technology, engineering, and mathematics) education as well as the development of commercial and defense technologies and works with private engineering and science companies across the country, employing thousands of brilliant engineers, scientists, and technicians to ensure the safety of the American people and maintain the technological and explorational prestige this country has always possessed.

NASA’s accomplishments are inspirational to students. It is capable of orbiting people around the planet in minutes, building a space station, and placing man on the moon, and in doing so powerfully inspires individuals to aspire for careers with the organization. In order to become involved with NASA, a student must study science, technology, engineering and/or mathematics, and by creating a strong incentive for people to study these topics, demand for STEM education increases. As demand increases, more STEM programs will develop and more people will become involved in STEM disciplines. Students studying STEM subjects develop critical thinking skills and strong senses of logic to overcome various problems and conflicts. New generations of engineers and scientists will rise to replace the retiring generations and surpass them in their accomplishments, but only will do so if opportunities to take such careers exist. Should NASA decay, it won’t only be NASA careers disappearing. Jobs at firms like Lockheed Martin, The Boeing Company, Northrop Grumman, Raytheon, and SpaceX among others will be lost as well and some of these firms will face immense downsizing or possibly even be forced to shut down, severely harming motivation for younger American students to pursue a degree or career in STEM related fields.

One of the greatest positive externalities of NASA is the technology developed as ‘spin-off’ used in the commercial and defense industries. When NASA was tasked with putting man on the moon, NASA realized the Apollo capsule would need computing systems installed within it that were far greater in power and far smaller than those currently in use and therefore tasked private industry with the development of compact computing devices that later became the PC and laptop. Without NASA funding, heart rate monitors, thermal video imaging, light emitting diodes, and velcro among many other technologies would not have been developed. While current domestic debate surrounds whether or not NASA should be downsized, enlarged, or completely phased out over time, foreign countries and blocs such as China, India, and the European Space Agency are investing even more time and money into improving their programs, their educational efforts, and plan to surpass American capabilities within the near future. Technological innovation, though still very prevalent within the United States, is beginning to grow very rapidly in foreign countries and more new technologies are being imported rather than exported every day. Instead of questioning whether or not NASA is necessary, America should be questioning what seemingly impossible task NASA should be working on next. Originally, the Apollo project seemed insurmountably difficult. But when national security threats (Soviet technological capabilities during the Cold War) met technological challenges (the Apollo program), NASA proved to be an irreplaceable source of innovation and wonder that united a nation, inspired a generation with dreams of space exploration, and provided a feeling of security to millions of people who feared another devastating war.

Which is also why NASA is critically important in the defense industry as a customer. NASA helps improve private and public defense and communication technologies. The relationship between NASA and the private industry is very symbiotic. NASA develops a plan or project and administers/contracts production and testing tasks out to the private industry, challenging thousands of engineers and scientists to improve their designs and inspires technological and manufacturing developments, which in turn allow NASA to complete its mission in an efficient and effective manner. China has proven it is capable of destroying our satellites by destroying one of its own and has announced its desire to develop a space program separated from America’s influence and plans to land on the moon in 2020. India, Israel, Iran, Pakistan, Romania, Japan, and Ukraine among others have all had confirmed launches and are working to become space powers themselves, developing their own aerospace industries and programs. Iraq and North Korea have also both touted successful launches, though their success are unconfirmed. NASA helps to keep America competitive by constantly challenging private industry and by making sure its goals for space and technological development are always beyond those of other countries, which helps to prevent enemies from defeating our technologies, thus keeping us safe.

NASA’s importance as a national priority is great. It inspires and motivates American students to study math, science, and engineering, expands our knowledge of physics, chemistry, biology, psychology, economics, geography, and oceanography, develops unimaginable technologies, promotes international teamwork with a healthy amount of competition, and unites a nation under a common passion and history for exploration of the unknown. We were once afraid of what may have been beyond the edge of the ocean. Now we’ve become curious about what lies beyond the edge of the universe, and NASA’s journey to explore our reality has so far improved our quality of life, improved our technological advantages, and solidified our defenses against national threats.

Read the original post at bmseifert.com.

by Otto E. Rössler, Faculty of Science, University of Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany

Abstract: An unfamiliar result in special relativity is presented: non-conservation of rest mass. It implies as a corollary a resolution of the Ehrenfest paradox. The new result is inherited by general relativity. It changes the properties of black holes. (June 21, 2012)

Rest mass is conserved in special relativity in the absence of acceleration. Under this condition, the well-known relativistic increase of total mass with speed is entirely due to the momentum part of the total-mass formula, so rest mass stays invariant as is well known. However, the presence of acceleration changes the picture. Two cases in point are the constant-acceleration rocketship of Einstein’s equivalence principle of 1907, and the rotating disk of Einstein’s friend Ehrenfest 5 years later.

First the Einstein rocket:

If light emitted from a point close to the tip of the constantly accelerating rocketship arrives with its finite speed at the bottom, it is blueshifted there because the bottom has in the meantime picked up a constant upwards speed. This at first sight absurd implication of special relativity was spotted by Einstein in 1907 in a famous mental tour de force. The arriving photons possessed their higher frequency from the beginning. Since they were at equilibrium with the local masses at their point of origin (think of positronium-annihilation generated photons being used), all masses at their height of origin are increased by the pertinent blueshift factor with respect to the same masses residing at the bottom. The converse argument holds true in the other direction for the redshift of photons from the bottom arriving at the tip, and for the correspondingly lower relative rest mass of all stationary particles at the bottom.

Second the Ehrenfest disk:

If light emitted from a more peripheral point of the constantly rotating disk arrives at the motionless center, it is redshifted by the transverse Doppler-shift factor discovered by Einstein in 1905. Much as in the previous case, the emitted photons are locally inter-transformable with solid rest mass. The implied local decrease in rest mass entails a proportional size increase via the Bohr radius formula of quantum mechanics (the parallel size change went unmentioned in the preceding case). But this is not the end of the story: Simultaneously, Lorentz contraction holds true at the light-emitting point on the rotating disk. The two local size change factors – that of the transverse Doppler shift and that of Lorentz contraction – happen to be each other’s inverses. Since they thus cancel out (the ratio is unity), the rotating disk remains perfectly flat. This prediction, deduced from special relativity with acceleration included, solves the Ehrenfest paradox.

To conclude:

Rest mass is not conserved in “special relativity with acceleration included.” Rest mass decreases more downstairs (or outwards, respectively) in proportion to the so-called gravitational (or rotational, respectively) redshift factor. This proposed new result in special relativity is bound to carry over to general relativity. Indeed the gravitational-redshift proportional reduction of rest mass has been described in general relativity by Richard J. Cook (in his 2009 arXiv paper “Gravitational space dilation”). The non-constancy of rest mass despite the fact that it appears locally un-changed has a tangible consequence: it affects the properties of black holes. The implications are incisive enough to let a currently running attempt at producing black holes on earth appear contraindicated from the point of view of planetary survival. This fact makes it desirable to find a flaw in the above chain of reasoning. (For J.O.R.)