A pen balanced on its tip will soon fall - and after it stops moving it will point in a specific direction. Is there physical significance to that direction?
As the pen is balanced on its tip, it is subject constantly to the random motions of air molecules bombarding it from all sides. There is constant fluctuation in the amount and strength of bombardment in each direction and at each place on the pen, and very soon there will be slightly more bombardment at one place on one side of the pen then on other sides and at that instant the pen will tip over. Since the direction of the push is random and could easily have been another direction, indeed a bunch of pens stood on their points will fall in different ways and point in different directions, there is no physical significance to the direction that the pen points.
Since the pen initially was symmetric with respect to all directions and now is not, this is called ‘broken symmetry’, with the term applied to situations where the breaking of the symmetry is due to physical causes but the specific way it is broken (e.g. the direction chosen) is random and has no intrinsic physical significance[13].
[Of COURSE it is a physical cause, but it is not inherent in the pen and the direction of fall teaches us nothing about the pen, only about the air movements in the room, and the atomic bombardment of air molecules on the pen, and since on the average a group of such pens fall in all directions, all we learn is that there is no preferred direction and each case's direction is random.]Similarly re the microwave radiation: The big bang initial explosion resulted in radiation which turns out nowadays to be in the microwave range. Since it occurred at the initial instant when the universe was basically a point, and all of space now emerged from that point, it is detected anywhere in the universe, and at any point will be seen to be coming equally from all directions.
Of course if one travels in any direction at some speed there will be a Doppler effect and the radiation will appear differently in different directions, and so one can calibrate one’s instruments anywhere in the universe so that they move in all directions at all speeds until they find that the radiation is arriving in the same amount and same frequency from all directions. The set of all such instruments in the universe then specifies a unique ‘frame’. Is this then an absolute frame, against which all other frames are moving?
The answer is no; this specific frame of the radiation is a random ‘choice’, it is an example of broken symmetry, and the direction has no intrinsic physical significance and it is not meaningful to say that this one frame is at rest and all others are in motion.
One can of course nevertheless use this frame to specify directions, for example to tell civilizations far away what the speed of one’s galaxy is relative to the microwave background radiation. It is also interesting as a cosmic-scale example of the effect of randomness[14].
Question asked by a reader: “How can one explain geo-stationary satellites from the geocentric view? If the earth is spinning so are the satellites. But if the earth is still, then the satellites aren’t moving either. If so, what keeps them up?”
First of all, in physics 'geocentric' or 'heliocentric' is not of a view of how things are, it is simply a choice of coordinate system, which is always based on some one point as center, and a choice of reference frame which takes one thing or actually one frame as stationary and everything else is measured relative to it (re thing vs. frame: one generally needs objects to specify a frame, and the frame can be chosen so that one specific thing/object is stationary). Thus, the physical results cannot be different in one frame than in another. Geostationarity is not a frame-dependent phenomenon - it cannot be that one frame will see the satellite hovering in one spot but another frame sees it as being in other places as well, which would mean that one frame can obtain satellite photos of places that are inaccessible to other frames!). Thus if the geo-stationarity of the satellite results from equations of the model in one frame, it must result in any frame.
But why it gives the same results is a different matter. Basically, the issue lies in the difference between the statement “the Earth is stationary’ and the statement ‘let’s use a stationary Earth as our reference frame’. The former requires one to posit the existence of an absolute space, and which also requires that the Earth be exempt from the laws of physics which require bodies to move in reaction to forces such as the gravitational force of the sun. Somehow Earth remains stationary where it is despite all the forces which would move it were it to be any other entity in the universe. So the answer to the conundrum of the satellite is basically that whatever keeps the Earth where it is as opposed to everything else in the universe which is moving around it (e.g. the sun) also keeps the satellite hovering above it when it has the specific Earth-matching speed.
From the perspective of general relativity however, there is a possible answer. The Earth certainly bulges away from sphericity, this is an unequivocal physical measure, and it corresponds to a relative rotational speed between the Earth and the rest of the universe. If the Earth is stationary, the rest of the universe rotates and spins etc about it. Newtonian gravity theory does not clearly specify a gravitational or inertial effect that this would have. For example, in Newtonian gravity theory a spinning mass generates the same gravitational effect as does one that does not spin, but Einstein’s theory shows that there is indeed an effect (which for example is very important when dealing with spinning black holes). Also general relativity is better equipped to deal with models of the universe as a whole. General relativity therefore points to the existence of - and can calculate - gravitational effects on the satellite of all the rest of the universe whirling about the Earth at a high speed. Indeed these might just pull the satellite away from the Earth enough to keep it at a certain height.
However the real physics is without coordinates and reference frames and General Relativity is formulated in mathematical symbols/concepts that are coordinate-free and reference-frame independent[15]. Of course in order to make a prediction as to what we would find if we measured such and such or saw such and such phenomenon, one needs to know from what frame and coordinate system the measurement or observation will be made - e.g. if one will be standing on Earth and looking at the sky then the coordinate system and reference frame will be 'geocentric' - and then we can choose that frame and coordinate system in the calculations of the prediction of how things would look from that coordinate system/frame, but the resulting statement or prediction is not a physics theory. It is simply a statement of physics as expressed in a particular choice of coordinates/reference frame.
So physics does not support the statement that the universe is centered on the sun or Earth or other body or point in space or event in spacetime – after all, if the sun is the center or Earth is, or any other thing or point, physics would ask what keeps it at the center, and what made it the center, and what makes the sun go around the Earth rather than vice versa, or if it is a point in space then why is that place special - none of this is explicable or sensible within physics, so this is not a physics view at all, instead it is a choice of coordinate system/reference frame. What physics (Einstein) tells us, and general relativity formulates is that it is not wrong to choose any coordinate system centered on any given point, any reference frame anchored to any object. The physics is consistent in any given choice but the true equations of the theory itself are formulated in a way that is independent of these specific choices.
Below are the 4 questions presented and addressed in the article (a little before the section "Significance"), see file: Geocentrism-3) or click image to the right.
In response to a reader's inquiry:
R Dovid Ganz was of the opinion of a helioCentric universe (see his Sefer מגן דוד
In his sefer נחמד ונעים he speaks of a different celestial issue, regarding what moves, the "spheres" or the stars, and relates to a well-known difference between the opinions of science and of the Rabbis, but today of course we know that there are no such "spheres" in any case, and we will not depve into this specific topic here.
"אך תדע שהחוקר הגדול המופלא בחכמת הכוכבים ויחיד בדורו... השר טיח"א בראה"י אמר לי: לא יפה עשו חכמיכם שהודו לחכמי האומות על דבר שקר, כי הדין היה עם חכמי ישראל. באומרו שהכוכבים חוזרים במהלכם העצמיים בלתי הכרח תנועות הגלגלים, רק בעצמם שטים ורצים כעוף הפורח באוויר, והרבה בראיות... וכן שמעתי מפי החכם המופלג קעפלירו"ס."
In the article above I am dealing with geocentrism vs heliocentrism, not specifically whether this or that person believed the stars are "free of the spheres" or not; the point I made was not that R Gans agreed or disagreed with Rabbinic statements and scientific statements aobut other issues but specifically that he was NOT a geocentrist - like Galileo Tycho etc he was a heliocentrist, which was the novel scientific view of the universe (until much later when it was realized that the universe is so much larger than our solar system plus a bunch of stars centered about it, and that the sun too is not "the center" of the universe).
...
A reader asked: I read through you articles, this isn't really my field but perhaps you can enlighten me.
You seem to mention how general relativity allows for one state "the the sun rotates about the earth"
Is such a statement valid with Newton law of gravity?
My reply: Newtonian gravity is obtained as a limit of General Relativity - ie in very special cases, for specific conditions, the field equation and equaitons of motion of Einstein's theory of general relativity reduce to the much simpler ones of Newtonian gravity. Therefore, if something is valid in GR it is obviously definitely valid for Newtonian theory, but not v.v.
There's no question of course that in ordinary parlance "the Earth spins, and it orbits the sun". The article analyzed however whether the language of the Torah implied differently, or intended for us to believe differently (I don't think it does), and whether even if it did imply 'geocentrism', whether that meant the Torah was flawed (I don't think it would imply this, for various reasons, including the ones specified in the article).
BTW: If you have a deep interest in Newtonian gravity and general relativity, I highly recommend watching my lectures on these topics, as indicated here.
..
A reader wrote: You are demonstrating that the Ptolemy and the Newtonian systems are not provable. I followed all your arguments. But, let me ask why we cannot disprove the model of the ancients by factoring in the observations of the astronauts who saw a spinning earth on the way to the moon. They traveled in a straight line as expected by the laws of physics (once they left the earth's gravitational field) as predicted by Newton's first law. Without that law the fuel needed would not have lasted the two week flight. Some have suggested to justify Ptolmey that they traveled in elliptic patterns around the earth each revolution spiraling away. This would be an amazing feat to keep it in a straight line as they got back to the same point. Of course, the accelerators would have to detect a change of angle and yet they didn't do so. Of course, maybe instruments measure only what you set them to do. (I worked on Apollo).
The Rambam at the end of chapter two also adds the Aristotelian idea of the 4 elements between the earth and the moon. Kabalah talks about these being spiritual however the Rambam is talking about physical things.THe same astronauts did not encounter fire and water along the wrong. Just pure empty space with maybe a dust particle here and there. Nothing to effect the gravity.
As everyone says you cannot prove things but you can disprove them. I think we have such a situation. I am not saying that Newton is correct only that the other model is wrong, Perhaps there is a third that is true.
...
The voyager flew at some point above the ecliptic. Is that not a place that the question of geocentric or not can be resolved? They flew perpendicular to teh elliptic? I am going to explore what they discovered. .
...
I don't believe the sun goes around the Earth, nor that the Torah teaches this.
My article was written for orthodox Jews, to make the point that though some tried to discredit the Torah by claiming (I believe erroneously) that the Torah claims the sun revolves about the Earth, and they stated that science proves otherwise; the article was meant simply to demonstrate why the issue of which ges about the other is not even a scientific question, since Einstein showed that all motion is relative and any reference frame is equally legitimate.
The sun is spinning and rotating about the center of the galaxy and galaxy is moving very quickly etc, and standing on some spinning star in a distant galaxy one might see Earth's motion in one way, standing on the sun another way, standing on the Earth a third way, all are legitimate, physics does not espouse or enfranchise one "correct" way or frame..
And so there is nothing incorrect when we say "the sun sets" because it is as seen from a very convenient frame, and not invalid. It is only invalid if we think of this a scientific statement of objective truth, ie if we think that it is a fact that the sun sets rather than the earth spins or whatever.
Regarding the question of whether the earth rotates about the sun or v.v:
1) There is no scientific meaning to the question "which REALLY rotates about which" since there is no measureable objective etc means to make such a determination.
VIP: This does NOT mean that therefore the question is open from the scientific viewpoint; from the scientific viewpoint it is a scientifically MEANINGLESS question.
2) From the scientific point of view there is relative rotation etc between the two and that is all that can meaningfuly be said.
VIP: A theory which makes a determination as to which "really" moves about which is NOT a more complete scientific theory, it is a MEANINGLESS theory from the scientific viewpoint.
2) Science does not claim to have exclusive TRUTH, it deals only with issues capable of resolution via "objective/scientific" etc means, and so science does not "disallow" one from talking about religious or metaphysical truths, and so for example science/scientists don't think science 'disallows" speaking about "which one "really" rotates about which" as long as one is not claiming to be speaking from a scientific viewpoint, but rather one is aware that they are presenting metaphysical etc beliefs.
3)All the following statements are FALSE (not only from the scientific viewpoint):
"science teaches that the earth rotates about the sun",
"science teaches (or the theory of relativity shows) that the sun rotates about the earth";
"science cannot determine which one is really - in the scientific sense - rotating about which";
"science has proven that the earth does NOT rotate about the sun";
"science has proven that the sun does NOT rotate about the earth";
even the following is false: "it is equally true scientifically to say that the earth rotates about the sun as to say that the sun rotates about the earth".
The true statement from the scinetific perspective is "THEY ARE IN RELATIVE ROTATION", and that's all that can and need be said.
4) "Judaism" does NOT require belief that the sun goes around the earth; outside the chabad community virtually no rosh yeshiva or gadol or philosopher ever deals with this issue - I do not mean this in a disprespectful sense, only in the sense of speaking precisely: it is only Chabad's approach to Jewish beliefs which perhaps has this issue: it would therefore in my opinion be misleading if someone were to present this as a Judaism/science issue, so that readers would believe that this is the view of all Orthodox Jews, and also that if they do not accept the "Copernican argument" then they are in contravention of "Jewish belief".
In my article I may have said that the geocentric and heliocentric
view were equally correct, as per my previous e mail you can see that
now I would not phrase it that way.
The point of the article would be that:
1) it is incorrect to say that "science disproved the geocentric model
in favor of the heliocentric" or even that "science proved that the
geocentric model is incorrect";
2)science does not offer any scientific objection to someone claiming
some religious truth that in some sense the earth is the "center" of
the umiverse.
According to present day scientific assumption/theory/model there is
no particular location in the universe which is special, no place or
object which is stationary in the absolute sense; therefore the only
type of motion which can be meaningfully discussed is the relative
motion between (somewhat nearby)objects.
According to the modern scientific view the Aristotelian system is
INCORRECT (it attributed intelligence to the planets etc to explain
their motion), the Heliocentric and geocentric models are WRONG if
they are meant to imply that there is a unique center to the universe
and/or that there is some part of the universe which is uniquely at
rest (the sun, or the earth, or anything else) so that other things
orbit them while they are stationary.
WHat one sees from a satellite is different from what one sees from
earth or from the sun, or from a merry-go-round while you are standing
on your head and doing somersaults: the pattern that is seen is
different, but they all are due to relative motion. Some reference
frames, for example one located on the sun, are more useful in that
they produce simpler patterns for the relative motions. But the sun is
NOT STATIONARY in an absolute sense and so it is only one of an
infinite amount of valid reference frames from which to describe the
RELATIVE MOTION of the earth and sun.
Let him read the relevant parts of my article, for example the quote
from Reichenbach and the discussion which followed: the later version
of the article is better, I believe it was reprinted with changes in
the Bohr HaTorah reader (?).
>
………
“Science and the modern World” Alfred North Whitehead 1925 Mentor
edition
p182 geocentrism, heliocentrism seem contradictory but relativity
shows both true;
……………………………….
From web: Stanford Encyc: extract, juxtaposed out of context:
Copernican theory. The significant point was not the replacement of
the earth by the sun as the center of all motion in the universe, but
the recognition of both the earth and the sun as merely possible
points of view from which the motions of the celestial bodies may be
described. This implied that the basic task of Ptolemaic astronomy —
to represent the planetary motions by combinations of circular
motions — could take any point to be fixed, and that, as Copernicus
suggested in the opening arguments of “On the revolutions of the
heavenly spheres,” the choice of any particular point required some
justification on other than astronomical grounds.
neither Copernicus' nor Ptolemy's view can be true — though one may be
judged simpler than the other — because both are merely possible
hypothetical interpretations of the same relative motions. This
principle clearly defines (what we would call) a set of reference
frames, differing in their arbitrary choices of a resting point or
origin, but agreeing on the relative positions of bodies at any moment
and their changing relative distances through time.
…………
An analysis of the consequences of Statement 1, that is, of Machian
relativity, can, as Mach himself insisted, be carried out by comparing
the heliocentric and geocentric systems: “The system of the world is
given
once to us, and the Ptolemaic or Copernican view is our
interpretation, but both are equally actual …The motions of the
universe are the same whether we adopt the Ptolemaic or the Copernican
mode of view. Both are indeed equally correct; only the latter is more
simple and more practical. The universe is not
twice given, with an earth at rest and an earth in motion; but only
once, with its relative motions alone determinable” (emphasis in the
original). (Statement 2).15 IIIC. Are both systems equally correct,
equally actual? With his equally correct assertion, was Mach merely
echoing the famous but
unauthorized preface that Osiander added anonymously to Copernicus’ De
Revolutionibus?
18 That was in 1543, but by 1912 the disk of Venus, the satellites of
the planets, the Foucault pendulum, and stellar aberration,
parallaxes, and Doppler shifts had all been observed.
It is a truism that one can describe any phenomenon from any reference
point. An observer on earth would say that an apple falls to the
ground with an acceleration of 9.8 m/s 2
. An apple-bound observer would say that the earth rushes to the apple
with an acceleration of 9.8 m/s 2
. Also, Brehme 19 has shown that one can obtain straightforwardly a
geocentric system from the Copernican system. Yet, the equivalence in
these examples is purely kinematical. However, Mach would insist that
kinematic equivalence is all that counts: kinematics records
observations, that is, facts, and Mach maintained that science should
adhere to “actual facts”20 focusing on how questions, not why
questions. 21 23 But, it turns out, kinematical equivalence is not
always true. As Kant first noted, the irreducible difference between
the
right and left hands argues against a relational theory of space. 24
Observers using a mirror may make different observations. Given parity
non-conservation, this left/right
asymmetry is true even at the microscopic level: neutrinos are left-
handed in this world, right-handed in a mirror, and, in the mirror,
they behave differently from the right-handed neutrinos
(antineutrinos) in this world. There is no indication that Mach
intended a principle of general covariance (GC). Einstein 25 did
indicate that Mach had influenced him in formulating that principle,
but, for Einstein, GC for the laws of physics was an outgrowth of
Lorentz invariance and required that the laws be formulated in tensor
form in a four-dimensional spacetime.
Mach rejected Lorentz invariance and did not attempt to formulate a
generally covariant theory. GC does not support Statement 2. GC holds
that the laws of physics must be formulated in the same tensor form in
all reference frames, but inertial frames can be distinguished from
all others: the laws of SR physics apply in inertial frames and
observers can determine whether they are in such a frame. In the
falling apple case, an
earth-bound observer would determine that, with gravitation, F = ma
for the apple, but an apple-bound observer would deny that F = ma for
the earth.
By insisting that the sun defines an inertial frame (or nearly so)
while the earth does not, Bunge dismisses Statement 2 as a “grotesque
claim” not withstanding that it is advanced by many authorities
and “hundreds of textbook authors.”
26
The laws of physics do apply in a heliocentric system but not in a
geocentric (Brahean or Ptolemaic) system.
When Ptolemy and Brahe formulated their systems, they knew of no law
of physics that
their systems would violate. Mach knew that the geocentric systems
violated the laws of
physics, but he never addressed how the heliocentric and the geometric
systems can be
considered equally actual if the laws of physics apply in one system
but not in the other.
Nor did Mach formulate an alternative set of laws to explain the
motions of the stars, the
planets, the sun, and the moon in a Brahean system.
IIID. Are there conservation laws with Mach?
The sterility of a physics without laws also can be illustrated by
considering what
happens when one has no recourse to conservation laws. For Newton,
given bodies A and
B, and U, the rest of the universe,
……
A naive Copernican account of the earth’s revolution around a fixed
sun is not actual.
What is meant today by ‘the Copernican system’ is that the sun and all
the planets orbit
around their common center of mass. The Brahean system violates
conservation of
momentum in that the solar system does not orbit around the center of
mass and Mach
gives no inkling on how to deal with this.
IIIE. The classical Doppler formulae do not support Mach
The classical Doppler effect provides crucial observations that relate
to the equal
actuality of the Brahean and Copernican systems. In the two systems,
the relative velocity
of the earth with respect to a light source is the same. Yet,
classical physics, but not SR,
predicts different Doppler shifts for the source moving versus the
observer moving. Thus,
in classical physics, one could determine whether the earth moves or
a “fixed star”
moves. This different treatment for the two motions should have
motivated Mach to pay
closer attention to SR.
To conclude, Mach did not consider the differences between the
Copernican and
Ptolemaic/Brahean systems and the many observations falsifying the
latter. Also, by
arguing that the two systems are equally actual, he denied the
universality of the laws of
physics.
IV. THE CASE OF THE THICK BUCKET
PAGE 18
1. Mach’s Principle: From Newton’s Bucket to Quantum Gravity, edited
by Julian
Barbour and Herbert Pfister (Birkhauser, Boston, MA, 1995), p. 530; 21
different
formulations are listed.
2. Denis. W. Sciama, The Unity of the Universe (Anchor Books, New
York, NY, 1961).
3. Ernst Mach, The Science of Mechanics (Open Court Publishing Co..
LaSalle, IL, 1960)
6th ed. Originally Published as Die Mechanik in ihrer Entwicklung
historisch-kritisch
darstellt . 9th Edition.
4. Isaac Newton, The Mathematical Principles of Natural Philosophy
(University of
California Press, Berkeley, CA, 1960), pp.10-11.
5. Ref. 3, p. xxviii.
6. Ref. 3, p. 279.
7. Ref. 3, p. 341, emphasis in the original.
8. Max Jammer, Concepts of Space (Harper Torchbooks, New York, NY,
1954), p. 141,
quotes the 4th German edition of Ref. 3 wherein Mach states that “…
for me, above all,
there is only relative motion, and in this respect I cannot make any
difference between
rotation and translation.” (our translation).
9. John Norton, “Mach’s principle before Einstein,“ in Ref. 1, pp. 9-
55, 36.
10. Georges Sagnac, C. R. Acad. Sci.
154, 708-710, 1410-1413 (1913). Albert A. Michelson,
“The effects of the Earth’s rotation on the velocity of light,” Phil.
Mag.
8, 716-719 (1904).
11. Robert Wood, Physical Optics (Dover Publications, Inc., New York,
NY, 1967), 3rd
ed., p. 29.
12. Richard P. Feynman, Robert B. Leighton and Matthew Sands, The
Feynman Lectures in
Physics, Vol. II (Addison-Wesley Publishing Co. , Reading, MA, 1964)
p. 14-7.
13. With terrestrial pendula one does not consider the rotation of the
pendulum bob for
the bob partakes of the rotation of the earth.
14. Albert Einstein, Ideas and Opinions (Bonanza Books. New York, NY,
(1954), p. 286.
15. The first part, up to “actual” is from Ref. 3, p. 279 (immediately
preceding Statement 1).
The remainder is from Ref. 3, p. 284.
16. Ref. 3, p. 393.
17. Ref. 3, p. 187.
18. Thomas S. Kuhn, The Copernican Revolution (Vintage Books, New
York, NY,
1959), p. 187.
19. Robert W. Brehme, Am. J. Phys.
44, 506-514 (1976).
20. Ref. 3, p. 280 (emphasis in the original). See also p. 271.
21. Ref. 3, p. 160.
22. Mario Bunge, Am. J. Phys.
34, 585-596 (1966).
23. Albert Einstein, “Autobiographical notes,” in Albert Einstein
Philosopher Scientist, edited
by Paul Schilp (Tudor Publishing Co., New York, NY, 1949), p. 21.
24. John Earman, World Enough and Space-Time, Absolute Versus
Relational Theories of Space
and Time (MIT Press, Cambridge, MA, 1989).
25. Ref. 23, p. 69.
26. Ref. 22, p. 589. Bunge lists Duhem, Pearson, Le Roy, Goodman,
Reichenbach, and Frank as
authorities who agree with Statement 2.
27. Ref. 3, p. 284.
28. Joseph Norwood, Jr., Intermediate Classical Mechanics (Prentice
Hall, Englewood
Cliffs, NJ, 1979), p. 274.
29. Hans Reichenbach, The Philosophy of Space and Time (Dover
Publications, New York, NY,
1957), p. 254, and From Copernicus to Einstein (Dover Publications,
New York, NY, 1980), p.
84.
30. Ronald Adler, Maurice Bazin, and Menahem Schiffer, Introduction to
General
Relativity (McGraw Hill Book Co., New York, NY, 1975), 2nd ed., pp.
437-448.
31. Carl Hoefer, “Einstein’s formulation of Mach’s principle,” in Ref.
1, pp. 67-90, 80.
32. Clifford Will, “Testing Machian effects in laboratory and space
experiments,“ in Ref. 1, pp.
365-386.
33. Ref. 24.
In my article, written in 1988? I may have said that the geocentric and heliocentric view were equally correct, as per my previous e mail you can see that now I would not phrase it that way.
The point of the article would be that:
1) it is incorrect to say that "science disproved the geocentric model in favor of the heliocentric" or even that "science proved that the geocentric model is incorrect";
2)science does not offer any scientific objection to someone claiming some religious truth that in some sense the earth is the "center" of the umiverse.
All physics experts (the dispute is negligible if it exists
> at all)
> > > >agree on
> > > >the heliocentric model of our solar system. They are well
> educated in
> > > >Einstein's theory(s) of relativity amongst other concepts
> developed> > >during
> > > >the last century (an important one being gravity, as explored by
> > > >Einstein's
> > > >theory of General Relativity). Their response to people's
> attempts at
> > > >explaining the geocincracy of our solar system using
> Einstein's theory
> > > >of
> > > >relativity have been to neglect it, because based on ALL accepted
> > > >principles
> > > >it is wrong.
> > > >
> > > >The ususal explanation given is that two objects (namely the
> Earth and
> > > >our
> > > >Sun) go around each other it is impossible to tell which is
> orbitting> > >which
> > > >etc. BUT the concept of gravity means that in a system with
> our sun and
> > > >the
> > > >earth, there is no possibility that they can co-revolve (the
> earth has
> > > >to
> > > >revolve around the sun whether the sun is staionary or not
> due to its
> > > >mass
> > > >relative to the Earth). The major point here is that the
> theory of
> > > >relativity is in favour of a helicentric model, and an
> attempt to prove
> > > >otherwise using a single concept taken out of context is
> insufficient.> > >It is
> > > >simply wrong (even hypocritical) to attempt to explain that
> they can
> > > >co-revolve using Einstein's relativity principles, but not
> address the
> > > >issue
> > > >of all his other work on relativity, which _proves_ the
> opposite. How
> > > >can
> > > >you select certain parts to use, but neglect others?
> > > >
> > > >This in addition to massive amounts of data collected from
> ground/space> > >satellites, space probes etc. solidify the
> heliocentric model. Although
> > > >it
> > > >is our belief that against all this data and evidence the
> Earth still
> > > >remains at the centre of the universe, how can this be?
Geocentrism and Geosynchronous orbits
Re the question. There are an infinite amount of points to clarify, one would simply have to study for years to understand things and then there would still be more subtle issues that crop up, so although questions from readers are a good sign, I would certainly would not have time to answer any, but I'll respond to this one. (BTW there are forums where people ask questions about physics and others answer, just that not all the questions makes sense and not all the responders are necessarily knowledgable or sane.)
First of all the geo or helio centered idea is not of a view of how things are, it is simply a choice of coordinate system, which is always based on some one point as center, and a choice of reference frame which takes one thing or actually one frame as stationary and everything else is measured relative to it (re thing vs frame: the frame can be chosen so that one specific thing/object is stationary). However the real physics is without coordinates and reference frames and General Relativity is formulated in mathematical symbols/concepts that are coordinate-free and reference-frame independent. Of course when one calculates things in order to make a prediction as to what we would find if we measured such and such or saw such and such phenomenon, one needs to know from what frame and coordinate system the measurement or observation will be made and then choose that frame and coordinate system in the calculations of the prediction, but the resulting statement or prediction is
not a physics theory it is simply a statement of physics as expressed in a particular choice of coordinates/reference frame.
So it is not that physics supports the statement that the universe is centered on the sun or the earth or other body or point in space or event in spacetime, and then defends that view – after all, if the sun is the center or the Earth is, what keeps it at the center, and what made it the center etc, and what makes the sun go around the Earth rather than vice versa, none of this is explicable or sensible within physics, so this is not a physics view at all, instead it is a choice of coordinate system/reference frame. It is not wrong to choose a coordinate system/reference frame centered on any given point. And the physics is consistent in any given choice.
So to answer the question: general relativity is a local theory, where local is a subtle concept. In this context the satellite is allowed only to observe within a small region of spacetime, close to it and not including the Earth. It is in free fall, as are all orbiting objects, and does not experience inertial accelerations or forces, and so there is no need for it to explain anything a all, it is to all intents and purposes either stationary or moving with constant speed. That it is in orbit is only known when including the Earth in the picture and then the frame is not local anymore.
Looked at another way, if one includes both the Earth and the satellite in one ‘local reference frame’ since they are not in motion relative to each other, then whatever keeps the Earth where it is as opposed to everything else in the universe which is moving around it (eg the sun) also keeps the satellite there. But again that is not a physics statement that physics can allow a model where the Earth and the satellite are stationary and the rest of the universe are in motion about them, since there is no scientifically valid explanation for this, or scientific reason to choose that this is indeed a phenomenon which requires explanation, just that physics allow any reference frame as equal to any other when one chooses frames.
From: Avi I Rabinowitz <air1@nyu.edu>
To: tzippy <yerushabel@yahoo.com>
Cc:
Bcc:
Date: Mon, 29 Oct 2007 23:09:19 +0200
Subject: Re: geocentrism
Hi
Thank you for your note.
I have written against alleged disproofs of the torah etc, and about the issue of geocentrism, but never in favor of a view which claims that the Earth is actually the center of the universe or stationary etc in any scientifically meaningful sense.
Thank you
Avi
----- Original Message -----
From: tzippy <yerushabel@yahoo.com>
Date: Wednesday, October 24, 2007 7:22 pm
Subject: geocentrism
To: air1@nyu.edu
> Dear Dr Rabinowitz
>
> this letter in the Jewish Press
>
>
> drew these letters
>
>
> <
>
>
>
> <
>
>
>
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> They do not seem to be in accord with Relativity.
>
> I think they warrant a reply by an expert like yourself
>
> Tzipporah.
Dear Dr Rabinowitz,
I was reading your fascinating article here
If you could clear up a couple of points I would appreciate it.
" Another possibility – raised by Riemann 150 years ago and later by
Einstein – is that the universe is ‘closed’ and so it has no end, but
also no unique center (see discussion later on). Either way neither
the Earth nor its sun are at the center of the universe.
"
does this mean that if the universe is closed it would have a centre
"it is equally true scientifically to say that the earth rotates about
the sun as to say that the sun rotates about the earth". What is true
is that THEY ARE IN RELATIVE ROTATION: and THAT'S ALL THERE IS TO be
said from the scientific viewpoint.
would you say the same about the moons going around jupiter, that it
it cannot be determined which revolves around which.
"However by the time of Copernicus it was realized that visually
unambiguous geocentrism' is false; were one to stand on the sun and
look at the Earth one would feel the sun is stationary and that the
Earth goes around it"
what about standing on mars, or outside the solar system
"Also, scientific belief holds that:
· there is no scientifically definable unique center
to the universe;"
what about an open uinverse
"Some have also thought that my article claims Judaism believes the
Bible teaches this type of geocentrism, whereas in fact it is my
impression that most Orthodox Religious sages today and in previous
times do not feel the Bible teaches this at all; "
is the talmudic and rishonim's model a geocentrist one based on
pesachim 93, in maskanah.
" since they are not in motion relative to each other and one tries to
really take this frame seriously then one is going out of the realm of
validity of general relativity and physics and if so then whatever
keeps the Earth where it is as opposed to everything else in the
universe which is moving around it (eg the sun) also keeps the
satellite there."
it is only in stationary orbit at a certain altitude and speed, which
is described newton's law of gravitation.
is it not a fantastic co-incidence that this new force (which cannot
be described scientifically) accounts for this stationary sattelite
just at that altitude and speed predicted by newton's law and does not
work at any other combination of altitude and speed.
what is the difference between that and saying that we have not proven
that heat expands metal, it could be another unknown force that does
it. if you say the expansion is in proportion to the heat applied.,
why not say that evidence for heliocentrism would be it only
stationary where newton's law of gravitation would predict it to be
stationary in a heliocentric universe
yours
shloime reich
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Tue, Oct 19, 2010, 11:49 PM
to sol
does this mean that if the universe is closed it would have a centre
AR: No. Just as the surface of a sphere has no center.
would you say the same about the moons going around jupiter, that it cannot be determined which revolves around which.
AR: Wronq concept. Not that we can;t determine which is the one being 'revolved around', rather that there is no meaning to specifying one as different than the other, only relative motion is definable in a meaningful manner. But simplicity is a different thing, see for example quote from Reichenbach.
what about standing on mars, or outside the solar system
AR: The point is that no place is unambiguously standing still and so no place can be the referent point for making an unambiguous determination.
what about an open universe
AR: same, no center.
For example, all points are the original point of the big bang.
About gmara, better ask a talmid chochom. BTW, only chabad believes Judaism mandates geocentrism - ask several non-chabad talmidei chachamim to get a variety of opinions. Also, see the various discussions on the web about this, and the statement about whether the chachomim or the Greeks prevailed etc.
re sattelite: not that we believe there is a force. You need to understand about 'local frame' and the equivalence principle, etc.
Anyone who is SERIOUSLY interested in this subject MUST learn general relativity thoroughly. Meaning, take a mathematically-solid course in GR at a good university, a credit-bearing course with written exams requiring deep understanding of the equations so that you can have a reality check as to whether or not you understood it all. If so, you'll be equipped to see whether you can make a good argument in favor of geocentrism.
Thanks very much for your kind words about the article.
I won't respond at greater length since some people never give up on this topic, and I don;t know if you are one of them. Unfortunately I have as much interest in discussing geocentrism with believers in it as I do discussing 'rebbe as moshiach' or 'moshiach can die and be resurrected' with chabad meshichistim, and as the patent office has in discussing perpetual motion machines :)
In any case, if you are not a geocentrism believer just curious, there are various sources you can read. I have no interest in this subject anymore myself, the article I initially wrote on the subject was written many years ago.
Behatzlachah!
...
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Fri, Oct 22, 2010, 2:33 AM
to me
Dear Dr Rabinowitz,
thank you for your prompt reply.
I am not a geocentrist believer, rather I did not quite follow how
those who admit geocenticsm as equally valid in accordance with GR
would answer the various proofs given for heliocentrism and rotating
earth. you answer geo-stationary satelites what about eg Foucault
pendulum and parallax. (although you seem to be saying you do not
have to answer those proofs to make it equally valid)
On 10/19/10, Avi I Rabinowitz <air1@nyu.edu> wrote:
> does this mean that if the universe is closed it would have a centre
> AR: No. Just as the surface of a sphere has no center.
I understood from this link that it cannot be ruled out that the
universe has a centre
http://www.phys.ncku.edu.tw/mirrors/physicsfaq/Relativity/GR/centre.html
It is less well known that Lemaître found a more general class of
solutions that describe a spherically symmetric expanding universe.
These solutions, now known as Lemaître-Tolman-Bondi (LTB) models,
describe possible forms for a universe that could have a centre.
Since the FLWR models are actually a special limiting case of the LTB
models, we have no sure way of knowing that the LTB models are not
correct. The FLWR models may just be good approximations that work
well within the limits of the observable universe but not beyond.
>
> would you say the same about the moons going around jupiter, that it cannot
> be determined which revolves around which.
> AR: Wronq concept. Not that we can;t determine which is the one being
> 'revolved around', rather that there is no meaning to specifying one as
> different than the other, only relative motion is definable in a meaningful
> manner. But simplicity is a different thing, see for example quote from
> Reichenbach.
>
so are you saying (1)that it can be proven that the earth 'really'
revolves around the sun, but it is scientifically meaningless.
(2) or that it has not even been proven that the earth 'really'
revolves around the sun.
(3)If I wanted to send a rocket to a moon of jupiter, would it not be
important to know which is really revolving around which or if I
wanted to know the speed of a planet I would use kepler's third law,
which depends on the sun being the centre of the solar system not the
earth
you say:
All the following statements are FALSE (not only from the scientific
viewpoint):
.....................
"science has proven that the sun does NOT rotate about the earth"]
newton's gravitational laws show that the sun does NOT rotate about
the earth as as a big body cannot revolve around a small body. the
fact that the reality is scientifically meaningless (I would have
thought) does not mean the reality changes to a metaphysical belief.
> what about standing on mars, or outside the solar system
> AR: The point is that no place is unambiguously standing still and so no
> place can be the referent point for making an unambiguous determination.
I understood you to say before that we may be able to make
unambiguous (although 'meaningless') determination that the moons of
jupiter revolve around it despite the fact that no place is
unambiguously standing still
you say
"
However by the time of Copernicus it was realized that visually
unambiguous geocentrism' is false; were one to stand on the sun and
look at the Earth one would feel the sun is stationary and that the
Earth goes around it"
I would have thought by the time of Copernicus it was realized that
wherever you go in the universe, outside the solar system you would
see the earth rotating around the sun.
(the only difference different observers would see, depending upon
their own speed relative to the solar system would be the speed of
rotation of the earth around the sun)
so copernicus would define himself as a visually unambiguous heliocentrist
yours
shloime
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Tue, Oct 26, 2010, 4:10 PM
to sol
Hi. Glad to know you are not a flat-earther :)
I don;t have time unfortunately to answer more questions, I'll try in brief....
re 'center': there is no way to absolutely know for certain that the universe is not on an elephant's back, that perhaps what we think of as the universe is not actually a small non-representative sample of something very strange etc, and maybe the universe has a center and there are elves living there but we are far away form the center and in our region everything seems homogenous and there's evidence for a big bang etc. We take what seems most 'reasonable' and make a great assumption, the Copernican assumption of "perfect cosmological principle', and that's where GR and no-center comes in. Things however may change, but not because we are at the center of the universe, a belief that messed people up for a while and scientists are willing to make the opposite mistake for now.
re 'really': nothing 'really' goes around something else. Only relative motion can be defined, until there is discovered some absolute frame that is proven to be (or defined as) stationary.
re: if I wanted to send a rocket to a moon of jupiter: all you need is the relative motion of Earth and Jupiter's moon.
that's all I have time for, at least on this subject,
best wishes,
Avi
I wonder if you could explain me something. if you are more than a 100 million miles from the sun, I believe you will never see the sun rotate around the earth, no matter what speed or orbit or how many somersaults you may be doing.
so
I did not understand why is that not proof that the sun does NOT rotate about the earth"
yours
shloime reich
Mon, May 7, 2012, 2:44 AM
to sol
hi
The equations are simplest from a frame centered on the sun, or at the center of mass of the solar system etc. However in theoretical physics although what we would consider maximal simplicity of equations is an indication that the choice of coordinates (frame) maximally reflects the symmetries of the situation, nevertheless it is not considered as a criterion which determines ‘what the situation ‘REALLY’ is”. Only objectively measurable criteria are acceptable and these turn out to be only relative measures. From the Earth it seems obvious that the sun is going round the Earth, and from the Sun it seems the reverse and if we are spinning on the sun it seems the sun, or far away from it, it seems as though the sun is going round us etc, there’s no one frame which is chosen by universal law to be the one from which one 'correct' determination can be made,
To go into this further you would have to read a lot about invariance & covariance, and their relation to the ‘principle of relativity’; about coordinate choices and their ramifications; about what constitutes ‘simplicity’ (for example experts all feel that general relativity is simpler than Newtonian theory), etc.
avi
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Mon, May 7, 2012, 6:54 PM
to me
Avi,
thanks for your reply
you say
"and if we are spinning on the sun it seems the sun, or far away from it, it seems as though the sun is going round us etc"
I did not follow from where in the universe (besides the earth) you were saying it seems the sun is going round us.
thank you
sol
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Mon, May 7, 2012, 7:31 PM
to sol
anytime you move anywhere, from your perspective the sun is moving.
Read about the topics I mentioned, and about mach's principle. You'd need to invest lots of time though.
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Mon, May 7, 2012, 9:51 PM
to me
Avi,
I understand that anytime you move anywhere, from your perspective the sun is moving, but is there anywhere
(besides planet earth)from your perspective where the sun is moving around planet earth ?
shloime
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Mon, May 7, 2012, 11:28 PM
to sol
Earth is enough.
It's good that you are trying to think deeply about these things. If you are interested in general relativity though, not just this specific topic, I can send you some material to start you off....did you take calculus-based physics?
..
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Tue, May 8, 2012, 1:36 AM
to me
Avi,
so just to get clear are you saying even if it would be proven that every where in the universe you look it seems that the earth revolves around the sun, (except for planet earth) , it is still incorrect to say that 'really' the earth moves around the sun as all we have in the universe is relative movement.
I learned some considerable time ago high school calculus maths
shloime
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Tue, May 8, 2012, 2:04 AM
to sol
Basically yes.
Note that they both orbit their mutual center of gravity (for some systems of two bodies that could be within one of them)
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Tue, May 8, 2012, 5:16 AM
to me
Avi,
so from the perspective of the sun orbiting the earth, is the sun orbiting the earth's centre of gravity or the sun's centre of gravity ?
shloime
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Tue, May 8, 2012, 6:06 AM
to sol
Mutual center
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Tue, May 8, 2012, 2:46 PM
to me
Avi,
the mutual centre of mass of the sun and earth is I believe 280 miles from the centre of the sun.
are you saying from the earth perpective, this is what the sun is orbiting ?
shloime
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Tue, May 8, 2012, 6:48 PM
to sol
From the relative perspective .
.....
misunderstanding of my article, and lacking a link to it: https://merrimackvalleyhavurah.wordpress.com/2016/07/06/geocentrism/
couldnt find contact info for them, only posting a comment on the page with FB or g+ etc, ddnt want to, I wrote to anothe rhavurah asking if they had the email for htis one.
chabad in that community lists other shuls etc: https://mvjf.org/community-center/our-community/our-community
since they are chabad, they'll probably like pointing out the misunderstanding except that they'll have the opposite misunderstanding!
I created a new googlesite and placed the article there: https://sites.google.com/s/1Eq-YbGL2uFzn5Cq5t2oJ6GuCN77JY86B/p/1IxgPERD9XfaIH5LYRmTfR1tJlG9pNMfK/edit?authuser=1
File "Geo to Aryeh": Condensed version of the article for his journal