[RascalPuff]

I wish to cite another accordance of the General Theory; which states that a thrown baseball or a fired bullet does not actually describe a curved or parabolic path to the earth, when projected horizontally above its surface. Instead, they actually move in straight lines which only appear to be curves and parabolas.

The reason for this says Einstein, is that, 'What is 4-Dimensionally straight gives the illusion of being curved or parabolic when projected on the 3 recognized Dimensions Of Space'.
These quasi 3-D parabolas and curves which are not really parabolas and curves, but instead are 4-D straight lines, are called 'geodesics'.

Einstein's geodesic account of gravity is that, 'Matter causes the 4-D Space-Time continuum to curve in the area surrounding it'. This fact is formally referred to as, 'Einstein's postulate of the 4-D Space-Time metric'.


If we find this Einsteinian description of gravitation vague, it is simply because it is indeed a vague description, yielding small conceptual compromise when compared with the familiar if mysterious 'tug' of Classical Newtonian gravity. One may question, What does Relativity mean when it accounts for gravity by referencing the 4-D Space-Time metric and the curving of the 4-D Space-Time Continuum? And how does this 4-D Space-Time Continuum cause bodies to descend, or geodesically appear to descend?
The 'answer' is that physicists do not understand the non-mathematical identity of Einstein's 4th Dimension; since space-time is one of the many effects of the 4th Dimension, it is not understood or recognized what the geodesic gravitational curvature of space-time is either.


“The General Theory (of Relativity) presented a completely altered view of gravitation. It is viewed as a property of space rather than as a force between bodies. As a result of the presence of matter, space becomes a curve and bodies follow the line of least resistance. These 4-D lines are called ‘geodesics’.” - Isaac Asimov, THE INTELLIGENT PERSON’S GUIDE TO SCIENCE

Here's what false authority says of Einstein's 4-D geodesic:
"We cannot visualize such a curved space. Because humanity is not four dimensional." - The LIFE Science Library's UNIVERSE, p. 179

“The General Theory (of Relativity) presented a completely altered view of gravitation. It is viewed as a property of space rather than as a force between bodies... "As a result of the presence of matter, space becomes a curve and bodies follow the line of least resistance." These 4-D lines are called ‘geodesics’.” - Isaac Asimov, The Intelligent Person's Guide to Science

Einstein's 'geodesics curvature of space-time' will not be comprehended or visualized, until Matter is recognized to be in a constant state of 4-dimensionally acclerating expansion. As simply illustrated here and abundantly verified throughout this historical - previously unrecognized - review.



(The illustrated 4-D Mass-Field Geodesic< A return to Straight Line Euclidean geometry>.

The false enigma is resolved in the recognition that the entire physical frame of reference is - 4-Dimensionally - ever enlarging, pinning the fans to their bleachers, all the cars to the asphalt in the parking lot, the city accomodating the ball park and the omnidirectionally expanding planet the city rests upon: rising up to create the illusion that the apparently curving baseball trajectory, which is actually a moving in a straight line ('geodesic'), appears to be moving in a parabolic arc. When a test object is projected straight up in the air, it does not 'slow down, turn around and return to the catcher. No indeed. The catcher - or the ground - rises up to overtake and impact the test object.

(Illustration and text excerpted from The New Gravity/ Is The 4th Dimension, copyright by K. B. Robertson, 1970 thru 2007 <in nine hard copy editions>. All rights reserved. With acknowledgement, may be produced for educational non commercial purposes.)

[north]

Originally Posted by RascalPuff I wish to cite another accordance of the General Theory; which states that a thrown baseball or a fired bullet does not actually describe a curved or parabolic path to the earth, when projected horizontally above its surface. Instead, they actually move in straight lines which only appear to be curves and parabolas. The reason for this says Einstein, is that, 'What is 4-Dimensionally straight gives the illusion of being curved or parabolic when projected on the 3 recognized Dimensions Of Space'. These quasi 3-D parabolas and curves which are not really parabolas and curves, but instead are 4-D straight lines, are called 'geodesics'. Einstein's geodesic account of gravity is that, 'Matter causes the 4-D Space-Time continuum to curve in the area surrounding it'. This fact is formally referred to as, 'Einstein's postulate of the 4-D Space-Time metric'. If we find this Einsteinian description of gravitation vague, it is simply because it is indeed a vague description, yielding small conceptual compromise when compared with the familiar if mysterious 'tug' of Classical Newtonian gravity. One may question, What does Relativity mean when it accounts for gravity by referencing the 4-D Space-Time metric and the curving of the 4-D Space-Time Continuum? And how does this 4-D Space-Time Continuum cause bodies to descend, or geodesically appear to descend? The 'answer' is that physicists do not understand the non-mathematical identity of Einstein's 4th Dimension; since space-time is one of the many effects of the 4th Dimension, it is not understood or recognized what the geodesic gravitational curvature of space-time is either. “The General Theory (of Relativity) presented a completely altered view of gravitation. It is viewed as a property of space rather than as a force between bodies. As a result of the presence of matter, space becomes a curve and bodies follow the line of least resistance. These 4-D lines are called ‘geodesics’.” - Isaac Asimov, THE INTELLIGENT PERSON’S GUIDE TO SCIENCE Here's what false authority says of Einstein's 4-D geodesic: "We cannot visualize such a curved space. Because humanity is not four dimensional." - The LIFE Science Library's UNIVERSE, p. 179 “The General Theory (of Relativity) presented a completely altered view of gravitation. It is viewed as a property of space rather than as a force between bodies... "As a result of the presence of matter, space becomes a curve and bodies follow the line of least resistance." These 4-D lines are called ‘geodesics’.” - Isaac Asimov, The Intelligent Person's Guide to Science Einstein's 'geodesics curvature of space-time' will not be comprehended or visualized, until Matter is recognized to be in a constant state of 4-dimensionally acclerating expansion. As simply illustrated here and abundantly verified throughout this historical - previously unrecognized - review. (The illustrated 4-D Mass-Field Geodesic< A return to Straight Line Euclidean geometry>. The false enigma is resolved in the recognition that the entire physical frame of reference is - 4-Dimensionally - ever enlarging, pinning the fans to their bleachers, all the cars to the asphalt in the parking lot, the city accomodating the ball park and the omnidirectionally expanding planet the city rests upon: rising up to create the illusion that the apparently curving baseball trajectory, which is actually a moving in a straight line ('geodesic'), appears to be moving in a parabolic arc. When a test object is projected straight up in the air, it does not 'slow down, turn around and return to the catcher. No indeed. The catcher - or the ground - rises up to overtake and impact the test object. (Illustration and text excerpted from The New Gravity/ Is The 4th Dimension, copyright by K. B. Robertson, 1970 thru 2007 <in nine hard copy editions>. All rights reserved. With acknowledgement, may be produced for educational non commercial purposes.)

so at what height does this " rise " kick in " and wouldn't this cause a constant rolling of the ground? which of course we neither experience or see

[RascalPuff]

so at what height does this " rise " kick in " and wouldn't this cause a constant rolling of the ground? which of course we neither experience or see

Dear North:
Several T.O.E. forumites - and others - have talked with me about you (and your triumphantly thoughtful green smiley).

We've decided that we like you just the way you are.

- Regards
- RP
Home page http://forums.delphiforums.com/EinsteinGroupie

[RascalPuff]

Dear North ('Which way is up?"):
The formula is exactly as simple as it is inescapable. Einstein's GENERAL PRINCIPLE OF RELATIVITY equates gravity with acceleration. Einstein's 4th Dimension demands overall right-angle motion of the Three recognized Dimensions Of Space: in one of two possible 4-Dimensional directions (Overall expansion or overall contraction).

Since objects do not fall 'upward' and away from 3-D Matter, this rules out overall 4-Dimensional contraction.
Objects do fall 'downward' toward the center of 3-D Matter; therefore confirming by demonstration, in situ (as is): a physically (materially) expanding Universe. The unrecognized causal identity (the source) of the observed, measured, acknowledged, recognized spatially expanding universe.

Image-3.gif Picture by Txpoet 714 x 303 (90 kb) ShowHide Exif Data

The conclusion is without precedent - although it has many historically noted revolutionary counterparts and parallels, in the history of Western Science. Recognizing the four dimensional space time continuum as being gravity, and conversely, is and has been patently unavoidable since its remarkably progressive advent; for the reasons provided herein (Refer to Drawing 1 Illustrations 3 & 4)

The material as well as spatial Universe is 4-Dimensionally expanding; it is this 4-Dimensional accelerating expansion that generates the force experienced and recognized as gravity. Hence objects do not fall to earth; the earth - instead - accelerates upwardly and overtakes them (just as the floor does in Einstein's elevator). Gravity is the 4-D space-time Dimension.
____________________

http://www.spaceandmotion.com/help/introduction-physics-philosophy-metaphysics-space.htm

CenterPoint Mass

4-D accelerating expansion to macrocosmic infinity.

The same amount of energy, distributing itself over an increasingly greater area, squared. Without contradiction of the law of conservation of mass-energy.

http://forums.delphiforums.com/EinsteinGroupie

Best regards,
- RP

[mkirkpatrick]

Einstein's curvature ideas straightened out somewhat when he realised the atoms full
potential,and had to live with the consequence?



regards michael.

[neutralino]

A geodesic isn't a straight line. It is the four dimensional analog of the three dimensional straight line. That is, it is the shortest "distance" between two events in a 4 dimensional manifold.

[N0B0DY]

Would that apply to an orthogonally time-like geodesic, Neutralino, if we are equating a repulsive force with linear time?

[RascalPuff]

Originally Posted by neutralino A geodesic isn't a straight line. It is the four dimensional analog of the three dimensional straight line. That is, it is the shortest "distance" between two events in a 4 dimensional manifold.

Your point is acknowledged, here, neutralino.
My illustration is a simplification.
Long distance aviators, for example, travel on curved geodesics, routinely, while maintaining a stable altitude above a round earth.

Your clarification is appreciated.

Best regards,
- RP

[bsaucer]

My question about GR is this: Exactly what is the "stuff" called "mass"/"energy", and by what mechanism does "it" induce curvature to the fabric of spacetime?

"Mass" (inertia) is a property of "stuff" which causes it to "resist" any change in velocity. The more "massive" a "thing", the more "energy" must be applied to "it" to alter "its" motion.

G = 8 * pi * T.

The "G" tensor on the left side is purely geometric (space-time). The "T" tensor on the right is "stuff" (mass/energy). Sometimes a "cosmological constant" term is thrown in as a "fudge factor".

I believe Einstein refered to the geometry part (space-time) as "gold" and the material part (mass-energy) as "wood". I think it's time to turn the wood into gold.

Other equations include "E = hf" and "p = h/lambda", where f and lambda are geometric in nature, while E and p are material. Planck's constant "h" is a factor thrown in to "convert" the wood into gold, but what is the actual "mechanism" for h?

E/m = c^2
F/m = d^2*x / dt^2 (= a)

[Jim Colyer]

Einstein's ideas are getting more popular everyday. But I can envision a time far in the future when his ideas will be laughed at.