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Congratulations Drs. Musha, Pinheiro & Valone on their soon to be published new book.

For those who are interested T. Musha, M.J. Pinheiro and T. Valone (Advanced Science Technology Research Organization, Yokohama, Japan, and others) have a new book that will be published soon:

Book Description: The purpose in writing this book is to give an historical overview of a new challenging field of research, and equip the readers with the mathematical basis of gravitoelectromagnetic theories and their applications to advanced science and technology.
The first chapter introduces the historical background of electrogravity, especially on the Biefeld-Brown effect. The second chapter gives several explanations on the Biefeld-Brown effect and other related phenomena, with a concern on the Einstein’s Unified Field Theory of Gravitation and electromagnetism and gravitational anomaly induced by the massive electrostatic charges of planets. The third chapter is concerned with the electrogravitic effect related to the zero point energy fluctuation in the vacuum, introduced from the standpoint of quantum electrodynamics.
The fourth chapter discusses other electromagnetic gravity control devices including the Heim theory and their applications for space flight. The fifth chapter has shown that the Abraham force is the analogue of the Magnus force, and it thus represents the formation of vortex structures, of electromagnetic nature, in the physical vacuum: the electromagnetotoroid which can generate gravitational field. The sixth chapter deals with the plasma theory of the Universe and the role played by the gravitoelectromagnetic forces generated by the plasma permeating the space between planets. And the last chapter shows the application on advanced aviation systems and future prospects of these technologies.
This is a textbook written for both researchers and professional scientists, which provides the mathematical basis for readers to introduce the basic concept of gravitoelectromagnetic theories and also discusses their application to advanced science and technologies. (Imprint: Novinka)
Publisher’s link:
——————————————Benjamin T Solomon is the author of the 12-year study An Introduction to Gravity Modification

Mechanics of Gravity Modification

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The Rocky Mountain chapter of the American Institute of Astronautics & Aeronautics (AIAA) will be having their 2nd Annual Technical Symposium, October 25 2013. The call for papers ends May 31 2013. I would recommend submitting your papers. This conference gives you the opportunity to put your work together in a cohesive manner, get feedback and keep your copyrights, before you write your final papers for journals you will submitting to. A great way to polish your papers.

Here is the link to the call for papers: http://www.iseti.us/pdf/RMAIAA_Call_For_Abstracts_2013-0507.pdf

Here is the link to the conference: http://www.iseti.us/pdf/RMAIAA_General_Advert_2013-0507.pdf

I’ll be presenting 2 papers. The first is a slightly revised version of the presentation I gave at the APS April 2013 conference here in Denver (http://www.iseti.us/WhitePapers/APS2013/Solomon-APS-April(20…45;15).pdf). The second is titled ‘The Mechanics of Gravity Modification’.

Fabrizio Brocca from Italy wanted to know more about the Ni field shape for a rotating-spinning-disc. Finally, a question from someone who has read my book. This is not easy to explain over email, so I’m presenting the answers to his questions at this conference, as ‘The Mechanics of Gravity Modification’. That way I can reach many more people. Hope you can attend, read the book, and have your questions ready. I’m looking forward to your questions. This is going to be a lively discussion, and we can adjourn off conference.

My intention for using this forum to explain some of my research is straight forward. There will be (if I am correct) more than 100 aerospace companies in attendance, and I am expecting many of them will return to set up engineering programs to reproduce, test and explore gravity modification as a working technology.

Fabrizio Brocca I hope you can make it to Colorado this October, too.

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Benjamin T Solomon is the author of the 12-year study An Introduction to Gravity Modification

As long as a recently published proof (European Scientific Journal March 2013 edition vol.9, No.9 ISSN: 1857–7881(Print) e-ISSN 1857–7431) remains unchallenged by the scientific community, this question is not only scientifically sound but also maximally important.

It would be great if this uncommon call for scientific assistance by imaginative readers across the world would find the resonance it deserves . Einstein would be delighted.

I had a great time at APS 2013 held April 13 — 16, 2013. I presented my paper “Empirical Evidence Suggest A Different Gravitational Theory” in track T10, Tuesday afternoon. A copy of the slides is available at this link.

http://www.iseti.us/WhitePapers/APS2013/Solomon-APS-April(20…45;15).pdf

Have fun.

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Benjamin T Solomon is the author of the 12-year study An Introduction to Gravity Modification

The APS April Meeting 2013, Vol. 58 #4 will be held Saturday–Tuesday, April 13–16, 2013; Denver, Colorado.

I am very pleased to announce that my abstract was accepted and I will be presenting “Empirical Evidence Suggest A Need For A Different Gravitational Theory” at this prestigious conference.

For those of you who can make it to Denver, April 13–16, and are interested in alternative gravitational theories, lets meet up.

I am especially interested in physicists and engineers who have the funding to test gravity modification technologies, proposed in my book An Introduction to Gravity Modification.

** Note, APS is the publisher of the most prestigious physics journal in the world, Physical Review Letters. If you remember Robert Nemiroff published his ground breaking findings that quantum foam cannot exists, 3 photons and 7-billion year old gamma ray burst in the Physical Review Letters.

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Benjamin T Solomon is the author of the 12-year study An Introduction to Gravity Modification

The University of Colorado Boulder holds its annual Gamow Memorial Lecture around this time of the year. This year, Feb 26, 2013, Brian Greene gave the lecture, on multiverses.

His talk was very good. He explained why there are 10500 possible variations to possible universes, and ours was just one of many possible universes, thus the term multiverse.

How interesting. This is an extension of the idea that the Earth or the Sun not being at the center of our Universe.

Brian Green graciously allowed me to have my picture taken with him at the reception held in honor of him after his lecture. In the middle picture I am getting ready my new Nokia Lumia 920 Windows 8 phone.

I may not agree with string theories, but I think it is vitally important to allow all forms of physical theories to take root, and let the community of physicists & engineers determine which theories have a better chance of explaining some aspect of the universal laws of physics, through discussions and experimentations. I would add, and drive new commercially viable technologies.

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Benjamin T Solomon is the author of the 12-year study An Introduction to Gravity Modification

1. Thou shalt first guard the Earth and preserve humanity.

Impact deflection and survival colonies hold the moral high ground above all other calls on public funds.

2. Thou shalt go into space with heavy lift rockets with hydrogen upper stages and not go extinct.

The human race can only go in one of two directions; space or extinction- right now we are an endangered species.

3. Thou shalt use the power of the atom to live on other worlds.

Nuclear energy is to the space age as steam was to the industrial revolution; chemical propulsion is useless for interplanetary travel and there is no solar energy in the outer solar system.

4. Thou shalt use nuclear weapons to travel through space.

Physical matter can barely contain chemical reactions; the only way to effectively harness nuclear energy to propel spaceships is to avoid containment problems completely- with bombs.

5. Thou shalt gather ice on the Moon as a shield and travel outbound.

The Moon has water for the minimum 14 foot thick radiation shield and is a safe place to light off a bomb propulsion system; it is the starting gate.

6. Thou shalt spin thy spaceships and rings and hollow spheres to create gravity and thrive.

Humankind requires Earth gravity and radiation to travel for years through space; anything less is a guarantee of failure.

7. Thou shalt harvest the Sun on the Moon and use the energy to power the Earth and propel spaceships with mighty beams.

8. Thou shalt freeze without damage the old and sick and revive them when a cure is found; only an indefinite lifespan will allow humankind to combine and survive. Only with this reprieve can we sleep and reach the stars.

9. Thou shalt build solar power stations in space hundreds of miles in diameter and with this power manufacture small black holes for starship engines.

10. Thou shalt build artificial intellects and with these beings escape the death of the universe and resurrect all who have died, joining all minds on a new plane.

I continue to survey the available technology applicable to spaceflight and there is little change.

The remarkable near impact and NEO on the same day seems to fly in the face of the experts quoting a probability of such coincidence being low on the scale of millenium. A recent exchange on a blog has given me the idea that perhaps crude is better. A much faster approach to a nuclear propelled spaceship might be more appropriate.

Unknown to the public there is such a thing as unobtanium. It carries the country name of my birth; Americium.

A certain form of Americium is ideal for a type of nuclear solid fuel rocket. Called a Fission Fragment Rocket, it is straight out of a 1950’s movie with massive thrust at the limit of human G-tolerance. Such a rocket produces large amounts of irradiated material and cannot be fired inside, near, or at the Earth’s magnetic field. The Moon is the place to assemble, test, and launch any nuclear mission.

Such Fission Fragment propelled spacecraft would resemble the original Tsolkovsky space train with a several hundred foot long slender skeleton mounting these one shot Americium boosters. The turn of the century deaf school master continues to predict.

Each lamp-shade-spherical thruster has a programmed design balancing the length and thrust of the burn. After being expended the boosters use a small secondary system to send them into an appropriate direction and probably equipped with small sensor packages, using the hot irradiated shell for an RTG. The Frame that served as a car of the space train transforms into a pair of satellite panels. Being more an artist than an *engineer, I find the monoplane configuration pleasing to the eye as well as being functional. These dozens and eventually thousands of dual purpose boosters would help form a space warning net.

The front of the space train is a large plastic sphere partially filled filled with water sent up from the surface of a a Robotic Lunar Polar Base. The Spaceship would split apart on a tether to generate artificial gravity with the lessening booster mass balanced by varying lengths of tether with an intermediate reactor mass.

These piloted impact threat interceptors would be manned by the United Nations Space Defense Force. All the Nuclear Powers would be represented.…..well, most of them. They would be capable of “fast missions” lasting only a month or at the most two months. They would be launched from underground silos on the Moon to deliver a nuclear weapon package towards an impact threat at the highest possible velocity and so the fastest intercept time. These ships would come back on a ballistic course with all their boosters expended to be rescued by recovery craft from the Moon upon return to the vicinity of Earth.

The key to this scenario is Americium 242. It is extremely expensive stuff. The only alternative is Nuclear Pulse Propulsion (NPP). The problem with bomb propulsion is the need to have a humungous mass for the most efficient size of bomb to react with.

The Logic Tree then splits again with two designs of bomb propelled ship; the “Orion” and the “Medusa.” The Orion is the original design using a metal plate and shock absorbing system. The Medusa is essentially a giant woven alloy parachute and tether system that replaces the plate with a much lighter “mega-sail.” In one of the few cases where compromise might bear fruit- the huge spinning ufo type disc, thousands of feet across, would serve quite well to explore, colonize, and intercept impact threats. Such a ship would require a couple decades to begin manufacture on the Moon.

Americium boosters could be built on earth and inserted into lunar orbit with Human Rated Heavy Lift Vehicles (SLS) and a mission launched well within a ten-year apollo type plan. But the Americium Infrastructure has to be available as a first step.

Would any of my hundreds of faithful followers be willing to assist me in circulating a petition?

*Actually I am neither an artist or an engineer- just a wannabe pulp writer in the mold of Edgar Rice Burroughs.

It is a riddle and almost a scandal: If you let a particle travel fast through a landscape of randomly moving round troughs – like a frictionless ball sent through a set of circling, softly rounded “teacups” inserted into the floor (to be seated in for a ride at a country fair) – you will find that it loses speed on average.

This is perplexing because if you invert time before throwing in the ball, the same thing is bound to happen again – since we did not specify the direction of time beforehand in our frictionless fairy’s universe. So the effect depends only on the “hypothesis of molecular chaos” being fulfilled – lack of initial correlations – in Boltzmann’s 19th century parlance. Boltzmann was the first to wonder about this amazing fact – although he looked only at the opposite case of upwards-inverted cups, that is, repulsive particles.

The simplest example does away with fully 2-dimensional interaction. All you need is a light horizontal particle travelling back and forth in a frictionless 1-dimensional closed transparent tube, plus a single attractive, much heavier particle moving slowly up and down in a frictionless transversal 1-dimensional closed transparent tube of its own – towards and away from the middle of the horizontal tube while exerting a Newtonian attractive force on the light fast particle across the common plane. Then the energy-poor fast particle still gets statistically deprived of energy by the energy-rich heavy slow particle in a sort of “energetic capitalism.”

If now the mass of the heavy particle is allowed to go to infinity while its speed and the force exerted by it remain unchanged, we arrive at a periodically forced single-degree-of-freedom Hamiltonian oscillator in the horizontal tube. What could be simpler? But you again get “antidissipation” – a statistical taking-away of kinetic energy from the light fast particle by the heavy slow one.

A first successful numerical simulation was obtained by Klaus Sonnleitner in 2010 – still with a finite mass-ratio and hence with explicit energy conservation. Ramis Movassagh obtained a similar result independently and proved it analytically. Both publications did not yet look at the simpler – purely periodically forced – limiting case just described: A single-degree-of-freedom, periodically forced conservative system. The simplest and oldest paradigm in Poincaréan chaos theory as the source of big news?

If we invert the potential (Newtonian-repulsive rather than Newtonian-attractive), the light particle now gains energy statistically from the heavy guy – in this simplest example of statistical thermodynamics (which the system now turns out to be). Thus, chaos theory becomes the fundament of many-particle physics: both on earth with its almost everywhere repulsive potentials (thermodynamics) and in the cosmos with its almost everywhere attractive potentials (cryodynamics). The essence of two fundamental disciplines – statistical thermodynamics and statistical cryodynamics – is implicit in our periodically forced single-tube horizontal particle. That tube represents the simplest nontrivial example in Hamiltonian dynamics including celestial mechanics, anyhow. But it now reveals two miraculous new properties: “deterministic entropy” generation under repulsive conditions, and “deterministic ectropy” generation under attractive conditions.

I would love to elicit the enthusiasm of young and old chaos aficionados across the planet because this new two-tiered fundamental discipline in physics based on chaos theory is bound to generate many novel implications – from revolutionizing cosmology to taming the fire of the sun down here on earth. There perhaps never existed a more economically and theoretically promising unified discipline. Simple computers suffice for deriving its most important features, almost all still un-harvested.

Another exciting fact: The present proposal will be taken lightly by most everyone in academic physics because Lifeboat is not an anonymously refereed outlet. But many young people on the planet do own computers and will appreciate the liberating truth that “non-anonymous peer review” carries the day – with them at the helm. So, please, join in. I for one was so far unable to extract the really simplest underlying principle: Why is it possible to have a time-directed behavior in a non-time-directed reversible dynamics if that time-directedness does not come from statistics, as everyone believes for the better part of two centuries? What is the real secret? And why does the latter come in two mutually at odds ways? We only have scratched at the surface of chaos so far. Boltzmann used that term in a clairvoyant fashion, did he not? (For J.O.R.)

“Olemach-Theorem”: Angular-momentum Conservation implies a gravitational-redshift proportional Change of Length, Mass and Charge

Otto E. Rossler

Faculty of Natural Sciences, University of Tubingen, Auf der Morgenstelle 8, 72076 Tubingen, Germany

Abstract

There is a minor revolution going on in general relativity: a “return to the mothers“ – that is, to the “equivalence principle” of Einstein of 1907. Recently the Telemach theorem was described which says that Einstein’s time change T stands not alone (since T, L, M, Ch all change by the same factor or its reciprocal, respectively). Here now, the convergent but trivial-to-derive Olemach theorem is presented. It connects omega (rotation rate), length, mass and charge in a static gravitational field. Angular-momentum conservation alone suffices (plus E = mc² ). The list of implications shows that the “hard core” of general relativity acquires new importance. 5 surprise implications – starting with global constancy of c in general relativity – are pointed out. Young and old physicists are called upon to join in the hunt for the “inevitable fault” in Olemach. (January 31, 2013)

Introduction

“Think simple” is a modern parole (to quote HP). Much as in “ham” radio initiation the “80 meter band playground” is the optimal entry door even if greeted with derision by old hands, so in physics the trivial domain of special relativity’s equivalence principle provides the royal entry portal.

A New Question

The local slowdown of time “downstairs” in gravity is Einstein’s most astounding discovery. It follows from special relativity in the presence of constant acceleration – provided the acceleration covers a vertically extended domain. Einstein’s famous long rocketship with its continually thrusting boosters presents a perennially fertile playground for the mind. This “equivalence principle” [1] was “the happiest thought of my life” as he always claimed.

To date no one doubts any more [2,3] the surprise finding that time is slowed-down downstairs compared to upstairs. The original reason given by Einstein [1] was that all signal sequences sent upwards arrive there with enlarged temporal intervals since the rocketship’s nose has picked up a constant relative departing speed during the finite travel time of the signal from the bottom up. Famous measurements, starting in 1959 and culminating in the daily operation of the Global Positioning System, abundantly confirm Einstein’s seemingly absurd purely mentally deduced prediction. From this hard-won 1907 insight, he would later derive his “general theory of relativity.” The latter remains an intricate edifice up to this day of which not all corners are understood as of yet. For example, many mathematically allowed but unphysical transformations got appended over the years. And a well-paved road running to the right and left of the canonical winded thread is still wanting. For example, the attempt begun by Einstein’s assistant Cornelius Lanczos in 1929 to build a bridge toward Clifford’s older differential-geometric approach [4] remains unconsummated.

In an “impasse-type” situation like this it is sometimes a good strategy to go “back to the mothers” in Goethe’s words, that is, to the early days when everything was still simple and fresh in its unfamiliarity. Do there perhaps exist one or two “direct corollaries” to Einstein’s happiest thought that are likewise bound to remain valid in any later more advanced theory?

A starting point for the hunt is angular-momentum conservation. Angular momentum enjoys an undeservedly low status in general relativity Emmy Noether’s genius notwithstanding. It therefore is a legitimate challenge to be asked to check what happens when angular momentum is “explicitly assumed to be conserved” in Einstein’s long rocketship where all clocks are known to be “tired” in their ticking rate at more downstairs positions in a locally imperceptible fashion. This question appears to be new. In the following, an attempt is made to check how the conservation of angular momentum which is a well-known fact in special relativity manifests itself in the special case of Einstein’s equivalence principle.

Olemach Theorem

To find the answer, a simple thought experiment suggests itself. A frictionless, strictly horizontally rotating bicycle wheel (with its mass ideally concentrated in the rim) is assumed to be suspended at its hub from a rope – so it can be lowered reversibly from the tip to the bottom in our constantly accelerating long rocketship (or else in gravity). Imagine the famous experimentalist Walter Lewin would make this wheel the subject of one of his enlightened M.I.T. lectures distributed on the Internet. The precision of the measurements performed would have to be ideal. What is it that can be predicted?

The law of “angular momentum conservation under planar rotation reads (if a sufficiently slow “nonrelativistic” rotation speed is assumed) according to any textbook like Tipler’s: “angular momentum = rotation rate times mass times radius-squared = constant” or, written in symbols,

J = ω m r² = const. (1)

From the above-quoted paper by Einstein we learn that omega differs across height levels, in a locally imperceptible fashion, being lower downstairs [1]. This is so because a frictionless wheel in planar rotation represents an admissible realization of a “ticking” clock (you can record ticks from a pointer attached to the rim). Then the height-dependent factor which reduces the ticking rate downstairs (explicitly written down by Einstein [1]) can be called K . At the tip, K = 1 , but K > 1 and increasing as one slowly (“adiabatically”) lowers the constantly rotating wheel to a deeper level [1]. Note that K can approach infinity in principle (as when the famous “Rindler rocketship,” with its many independently boosting hollow “rocket rings” that stay together without links, approaches the length of about one light year – if this technical aside is allowed).

The present example is quite refined in its maximum simplicity. What is it that the watching students will learn? If it is true that angular momentum J stays constant despite the fact that the rotation rate ω is reduced downstairs by the Einstein clock slowdown factor K , then necessarily either m or r or both must be altered downstairs besides ω , if J is to stay constant in accordance with Eq.(1).
While infinitely many nonlinear change laws for r and m are envisionable in compensation for the change in ω , the simplest “linear” law keeping angular momentum J unchanged in Eq.(1) reads:

ω’ = ω/K
r’ = r K
m’ = m/K (2)
q’ = q/K .

Here the fourth line was added “for completeness” due to the fact that the local ratio m/q – rest mass-over-charge – is a universal constant in nature in every inertial frame, with a characteristic universal value for every kind of particle. (Note that any particle on the rim can be freshly released into free fall and then retrieved with impunity, so that the universal ratio remains valid.) The unprimed variables on the right refer to the upper-level situation (K = 1) while the primed variables on the left pertain to a given lower floor, with K monotonically increasing toward the bottom as quantitatively indicated by Einstein [1].

How can we understand Eq.(2)? The first line, with ω replaced by the proportional ticking rate t of an ordinary local clock (Einstein’s original result), yields an equivalent law that reads

t’ = t/K ‚ (2a)

with the other three lines of Eq.(2) remaing unchanged. The corresponding 4-liner was described recently under the name “Telemach” (acronym for Time, Length, Mass and Charge). Telemach possessed a fairly complicated derivation [5]. The new law, Eq.(2), has the asset that its validity can be derived directly from Eq.(1).

The prediction made by the conservation law of Eq.(1) is that any change in ω automatically entails a change in r and/or m . There obviously exist infinitely many quantitative ways to ensure the constancy of J in Eq.(1) for our two-dimensionally rotating frictionless wheel. For example, when for the fun of it we keep m constant while letting only r change, the second line of Eq.(2) is bound to read r’ = r K^½ (followed by m’ = m and q’ = q ). Infinitely many other guessed schemes are possible. Eq.(2) has the asset of being “simpler” since all change ratios are linear in K. So the change law does not depend on height; only in this linear way can grotesque consequences like divergent behavior of one variable be avoided.

Now the serious part. We start out with the third line of Eq.(2). We already know from Einstein’s paper [1] that the local photon frequency (and hence the photon mass-energy) scales linearly with 1/K . Photon mass-energy therefore necessarily obeys the third line of Eq.(2). If this is true, we can recall that according to quantum electrodynamics, photons and particles are locally inter-transformable. Einstein would not have disagreed in 1907 already. A famous everyday example known from PET scans is positronium creation and annihilation. In this special case, two 511 kilo-electron-Volt photons turn into – prove equivalent to – one positron plus one electron, in every local frame. Therefore we can be sure that the third line of Eq.(2) indeed represents an indubitable fact in modern physics, a fact which Einstein would have eagerly embraced.

The remaing second line of Eq.(2) could be explained by quantum mechanics as well (as done in ref. [5]). However, this is edundant now since once the third line of Eq.(2) is accepted, the second line is fixed via Eq.(1). The fourth line follows from the third as already stated. Hence we are finished proving the correctness of the new law of Eq.(2).

How to call it? Olemach is a variant of “Oremaq” (which at first sight is a more natural acronym for the law of Eq.(2) in view of its four left-hand sides. But the closeness in content of Eq.(2) to Telemach [4], in which length was termed L and charge termed Ch, lets the matching abbreviation “Olemach” appear more natural.

Discussion

A new fundamental equation in physics was proposed: Eq.(2). The new equation teaches us a new fact about nature: In the accelerating rocket-ship of the young Einstein as well as in general relativity proper under “ordinary conditions” (yet to be specified in detail), angular momentum conservation plays a previously underestimated – new – role.

The most important implication of the law of Eq.(2) no doubt is the fact that the speed of light, c , has become a “global constant” in the equivalence principle. Note that the first two lines of Eq.(2) can be written

T’ = TK
r’ = rK , (2b)

with T = 1/ω and T‘ = 1/ ω‘ . One sees that r’/T’ = r/T . Therefore c-upstairs = c-downstairs = c at all heights (up to the uppermost level of an infinitely long Rindler rocket with c = c-universal at its tip). Thus

c = globally constant. (3)

This result follows from the “linear” structure of Eq.(2). The global constancy of c had been given up explicitly by Einstein in the quoted 1907 paper [1]. (This maximally painful fact was presumably the reason why Einstein could not touch the topic of gravitation again for 4 years until his visiting close friend Ehrenfest helped him re-enter the pond through engulfing him in an irresistible discussion about his rotating-disk problem.) In recompense for the new global constancy of c , it is now m and q that inherit the former underprivileged role of c by being “only locally but not globally constant.” It goes without saying that there are far-reaching tertiary implications (cf. [5]).

The second-most-important point is the already mentioned fact that charge q is no longer conserved in physics in the wake of the fourth line of Eq.(2), after an uninterrupted reign of almost two centuries. This result is the most unbelievable new fact. A first direct physical implication is that the charge of neutron stars needs to be re-calculated in view of the “order-of-unity” gravitational redshift z = K – 1 valid on their surface. Since K thus is almost equal to 2 on this surface, the charge of neutron stars is reduced by a factor of almost 2. Even more strikingly, the electrical properties of quasars (including mini-quasars) are radically altered so that a renewed modeling attempt is mandatory.

Thirdly, a topological new consequence of Eq.(2): “Stretching” is now found added to “curvature” as an equally fundamental differential-geometric feature of nature valid in the equivalence principle and, by implication, in general relativity. Recall that r goes to infinity in parallel with K , in the second line of Eq.(2) when K does so. This new qualitative finding is in accordance with Clifford’s early intuition. While an arbitrarily strong curvature remains valid near the horizon of a black hole where K diverges, the singular curvature is now accompanied by an equally singular (infinite) stretching of r . Thus a novel type of “volume conservation” (more precisely speaking: “conservation of the curvature-over-stretching ratio”) becomes definable in general relativity, in the wake of Eq.(2).

A fourth major consequence is that some traditional historical additions to general relativity cease to hold true if Olemach (or Telemach) is valid. This “tree-trimming” affects previously accepted combinations of general relativity with electrodynamics. In particular, the famous Reissner-Nordström solution loses its physical validity in the wake of Eq.(2). The simple reason: charge is no longer a global invariant. Surprise further implications (like a mandatory unchargedness of black holes) follow. The beautiful mass-ejecting and charge-spitting and electricity and magnetism generating, features of active quasars acquire a radically new interpretation worth to be worked out.

As a fifth point, the mathematically beautiful “Kerr metric” when used as a description of a rotating black hole loses its physical validity by virtue of the second line of Eq.(2). The new infinite distance to the horizon valid from the outside is one reason. More importantly, the effective zero rotation rate at the horizon of a seen from the outside fast-rotating black hole necessitates the formation of a topological “Reeb foliation in space-time” encircling every rotating black hole, as well as (in unfinished form) any of its never quite finished precursors [6].

There appear to be further first-magnitude consequences of the law of angular-momentum conservation (Eq.1), applied in the equivalence principle and its general-relativistic extensions. So the second line of Eq.(2) implies, via the new global constancy of c , that gravitational waves no longer exist [5]. On the other hand, temporal changes of a gravitational potential, for example through the passing-by of a celestial body, do of course remain valid and must somehow be propagated with the speed of light. (This problem is mathematically unsolved in the context of Sudarshan’s “no interaction theorem.”) These two cases can now be confused no longer.

At this point cosmology deserves to be mentioned. The new equal rights of curving and stretching (“Yin and Yang”) suggest that only asymptotically flat solutions remain available in cosmology in the very large – a suggestion already due to Clifford as mentioned [4]. If Olemach implies that a “big bang” (based on a non-volume preserving version of general relativity) is ruled out mathematically, this new fact has tangible consequences. Recently, 24 “ad-hoc assumptions” implicit in the standard model of cosmology were collected [7]. Further new developments in the wake of an improved understanding of the role played by angular-momentum conservation in the equivalence principle, general relativity and cosmology are to be expected.

To conclude, a new big vista opens itself up when the law of angular momentum conservation is indeed valid in the equivalence principle of special relativity of 1907. An inconspicuous “linear law” (Eq.2), re-affirming the role of Einstein’s happiest thought, imposes as the natural “80-meter band” of physics” – or does it not?

Credit Due

The above result goes back to an inconspicuous abstract published in 2003 [8] and a maximally unassuming dissertation written in its wake [9].

Acknowledgment

I thank Ali Sanayei, Frank Kuske and Roland Wais for discussions. For J.O.R.

References

[1] A. Einstein, On the relativity principle and the conclusions drawn from it (in German). Jahrbuch der Radioaktivität 4, 411–462 (1907), p. 458; English translation: http://www.pitt.edu/~jdnorton/teaching/GR&Grav_2007/pdf/Einstein_1907.pdf , p. 306.

[2] M.A. Hohensee, S. Chu, A. Peters and H. Müller, Equivalence principle and gravitational redshift. Phys. Rev. Lett. 106, 151102 (2011). http://prl.aps.org/abstract/PRL/v106/i15/e151102

[3] C. Lämmerzahl, The equivalence principle. MICROSCOPE Colloquium, Paris, September 19, 2011. http://gram.oca.eu/Ressources_doc/EP_Colloquium_2011/2%20C%20Lammerzahl.pdf

[4] C. Lanczos, Space through the Ages: The Evolution of geometric Ideas from Pythagoras to Hilbert and Einstein. New York: Academic Press 1970, p. 222. (Abstract on p. 4 of: http://imamat.oxfordjournals.org/content/6/1/local/back-matter.pdf )

[5] O.E. Rossler, Einstein’s equivalence principle has three further implications besides affecting time: T-L-M-Ch theorem (“Telemach”). African Journal of Mathematics and Computer Science Research 5, 44–47 (2012), http://www.academicjournals.org/ajmcsr/PDF/pdf2012/Feb/9%20Feb/Rossler.pdf

[6] O.E. Rossler, Does the Kerr solution support the new “anchored rotating Reeb foliation” of Fröhlich? (25 January 2012). https://lifeboat.com/blog/2012/01/does-the-kerr-solution-sup…f-frohlich
[7] O.E. Rossler, Cosmos-21: Twenty-four violations of Occam’s razor healed by statistica mechanics. (Submitted.)

[8] H. Kuypers, O.E. Rossler and P. Bosetti, Matterwave-Doppler effect, a new implication of Planck’s formula (in German). Wechselwirkung 25 (No. 120), 26–27 (2003).

[9] H. Kuypers, Atoms in the gravitational field according to the de-Broglie-Schrödinger theory: Heuristic hints at a mass and size change (in German). PhD thesis, submitted to the Chemical and Pharmaceutical Faculty of the University of Tubingen 2005.

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