Most recent edit on 2008-04-21 12:05:30 by ErikAnderson [New Diagram]
Additions:
 In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. The passage of light from an event to an observation is modeled incrementally in the surface, but implementing quantum theory, and incorporating wave function collapse, is problematic. In relational quantum gravity, classical spacetime is the envelope (green) of tangent spaces (pale blue). Tangent space is not conceived as physically real, but is part of the mathematical structure required of quantum theory. Wave evolution (red) takes place in a tangent space, and the quantum state is projected back to the curved surface when the the wave function collapses (blue). In observations on local matter predictions are unchanged, but the redshift of photons from distant stars is predicted to be different when cosmological expansion is taken into account. |
Deletions:
 In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. The passage of light from an event to an observation is modeled incrementally in the surface, but implementing quantum theory, and incorporating wave function collapse, is problematic. In relational quantum gravity, classical spacetime is the envelope (green) of tangent spaces (pale blue). Tangent space is not conceived as physically real, but is part of the mathematical structure required of quantum theory. Wave evolution (red) takes place in a tangent space, and the quantum state is projected back to the curved surface when the the wave function collapses (blue). In observations on local matter predictions are unchanged, but the redshift of photons from distant stars is predicted to be different when cosmological expansion is taken into account. |
Edited on 2008-03-20 07:44:16 by CharlesFrancis
Additions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. The passage of light from an event to an observation is modeled incrementally in the surface, but implementing quantum theory, and incorporating wave function collapse, is problematic. In relational quantum gravity, classical spacetime is the envelope (green) of tangent spaces (pale blue). Tangent space is not conceived as physically real, but is part of the mathematical structure required of quantum theory. Wave evolution (red) takes place in a tangent space, and the quantum state is projected back to the curved surface when the the wave function collapses (blue). In observations on local matter predictions are unchanged, but the redshift of photons from distant stars is predicted to be different when cosmological expansion is taken into account. |
Deletions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. The passage of light from an event to an observation is modeled incrementally in the surface, but implementing quantum theory, and incorporating wave function collapse, is problematic. In relational quantum gravity, classical spacetime is the envelope (green) of tangent spaces (pale blue). Tangent space is not conceived as physically real, but is part of the mathematical structure required of quantum theory. Wave evolution (red) takes place in a tangent space , and the quantum state is projected back to the curved surface when the the wave function collapses (blue). In observations on local matter predictions are unchanged, but the redshift of photons from distant stars is predicted to be different when cosmological expansion is taken into account. |
Edited on 2008-03-20 07:43:18 by CharlesFrancis
Additions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. The passage of light from an event to an observation is modeled incrementally in the surface, but implementing quantum theory, and incorporating wave function collapse, is problematic. In relational quantum gravity, classical spacetime is the envelope (green) of tangent spaces (pale blue). Tangent space is not conceived as physically real, but is part of the mathematical structure required of quantum theory. Wave evolution (red) takes place in a tangent space , and the quantum state is projected back to the curved surface when the the wave function collapses (blue). In observations on local matter predictions are unchanged, but the redshift of photons from distant stars is predicted to be different when cosmological expansion is taken into account. |
Deletions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. The passage of light from an event to an observation is modeled incrementally in the surface, but implementing quantum theory, and incorporating wave function collapse, is problematic. In relational quantum gravity, classical spacetime is the envelope of tangent spaces (pale blue). Tangent space is not conceived as physically real, but is part of the mathematical structure required of quantum theory. Wave evolution takes place in a tangent space (red), and the quantum state is projected back to the curved surface when the the wave function collapses (blue). In observations on local matter predictions are unchanged, but the redshift of photons from distant stars is predicted to be different when cosmological expansion is taken into account. |
Edited on 2008-02-18 00:55:46 by CharlesFrancis
Additions:
Together with observed supernova redshifts, the model reveals a finite universe expanding at half the rate of the standard model and requiring no cosmological constant or exotic “cold dark matter” (CDM). Changes in redshift explain Galaxy rotation curves without modifying Newtonian gravity (i.e. MOND). The acid test is a statistical analysis of the motions local stars. A correlation has been found which clearly shows that the standard Doppler» formula overstates radial velocities. If one rejects the notion that the Sun occupies a preferred position in space, one must also reject the redshift predictions of standard general relativity, and reassess the properties of the universe in which we live.
Deletions:
Together with observed supernova redshifts, the model reveals a finite universe expanding at half the rate of the standard model and requiring no cosmological constant or exotic “cold dark matter” (CDM). Galaxy rotation curves are explained without modifying Newtonian gravity (i.e. MOND). The acid test is a statistical analysis of the motions local stars. A correlation has been found which clearly shows that the standard model overstates radial velocities. If one rejects the notion that the Sun occupies a preferred position in space, one must also reject the redshift predictions of standard general relativity, and reassess the properties of the universe in which we live.
Edited on 2008-02-18 00:50:38 by CharlesFrancis
Additions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. The passage of light from an event to an observation is modeled incrementally in the surface, but implementing quantum theory, and incorporating wave function collapse, is problematic. In relational quantum gravity, classical spacetime is the envelope of tangent spaces (pale blue). Tangent space is not conceived as physically real, but is part of the mathematical structure required of quantum theory. Wave evolution takes place in a tangent space (red), and the quantum state is projected back to the curved surface when the the wave function collapses (blue). In observations on local matter predictions are unchanged, but the redshift of photons from distant stars is predicted to be different when cosmological expansion is taken into account. |
Deletions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. The passage of light from an event to an observation is modeled incrementally in the surface, but implementing quantum theory, and incorporating wave function collapse, is problematic. In relational quantum gravity, classical spacetime is the envelope of tangent spaces (pale blue). Tangent space is not conceived as physically real, but is part of the mathematical structure required of quantum theory. Wave evolution takes place in a tangent space (red), and the quantum state is projected back to the curved surface when the the wave function collapses (blue). In observations on local matter predictions are unchanged, but the redshift of photons from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Edited on 2008-02-11 03:53:25 by CharlesFrancis
Additions:
This website provides an introduction to the philosophical foundation, the mathematical theory, and the empirical evidence for relational quantum gravity for the non-specialist, as well as links to the papers in which a rigorous treatment is given and empirical tests are reported as evidence that the teleconnection is required in order to correctly describe the transmission of light from distant stellar objects. It also contains introductory level courses in standard general relativity and quantum electrodynamics, which provide the foundation on which relational quantum gravity is built.
Deletions:
This website provides an introduction to the philosophical foundation, the mathematical theory, and the empirical evidence for relational quantum gravity for the non-specialist, as well as links to the papers in which a rigorous treatment is given and empirical tests are reported as evidence that the teleconnection is required in order to correctly describe the transmission of light from distant stellar objects.
Edited on 2008-02-11 03:46:35 by CharlesFrancis
Additions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. The passage of light from an event to an observation is modeled incrementally in the surface, but implementing quantum theory, and incorporating wave function collapse, is problematic. In relational quantum gravity, classical spacetime is the envelope of tangent spaces (pale blue). Tangent space is not conceived as physically real, but is part of the mathematical structure required of quantum theory. Wave evolution takes place in a tangent space (red), and the quantum state is projected back to the curved surface when the the wave function collapses (blue). In observations on local matter predictions are unchanged, but the redshift of photons from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Deletions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. In standard general relativity, the passage of light from an event to an observation is modeled incrementally in the surface, but implementing quantum theory, including wave function collapse, is problematic. In relational quantum gravity classical spacetime is the envelope of tangent spaces (pale blue). Tangent space is not conceived as physically real, but is part of the mathematical structure required of quantum theory. Wave evolution takes place in a tangent space (red), and the quantum state is projected back to the curved surface in the collapse of the wave function (blue). In observations on local matter predictions are unchanged, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Edited on 2008-02-11 03:43:27 by CharlesFrancis
Additions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. In standard general relativity, the passage of light from an event to an observation is modeled incrementally in the surface, but implementing quantum theory, including wave function collapse, is problematic. In relational quantum gravity classical spacetime is the envelope of tangent spaces (pale blue). Tangent space is not conceived as physically real, but is part of the mathematical structure required of quantum theory. Wave evolution takes place in a tangent space (red), and the quantum state is projected back to the curved surface in the collapse of the wave function (blue). In observations on local matter predictions are unchanged, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Deletions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. In standard general relativity, the passage of light from an event to an observation is modeled incrementally in the surface, but implementing quantum theory, including wave function collapse, is problematic. In relational quantum gravity classical spacetime is the envelope of tangent spaces (pale blue). Wave evolution takes place in a tangent space (red), and the quantum state is projected back to the curved surface in the collapse of the wave function (blue). In observations on local matter predictions are unchanged, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Edited on 2008-02-11 03:19:03 by CharlesFrancis
Additions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. In standard general relativity, the passage of light from an event to an observation is modeled incrementally in the surface, but implementing quantum theory, including wave function collapse, is problematic. In relational quantum gravity classical spacetime is the envelope of tangent spaces (pale blue). Wave evolution takes place in a tangent space (red), and the quantum state is projected back to the curved surface in the collapse of the wave function (blue). In observations on local matter predictions are unchanged, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Deletions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. In standard general relativity, the passage of light from an event to an observation is modeled incrementally in the surface, but implementing wave theory, together with the collapse of the wave function, is problematic. In relational quantum gravity classical spacetime is the envelope of tangent spaces (pale blue). Wave evolution takes place in a tangent space (red), and is projected back to the curved surface in the collapse of the wave function (blue). In observations on local matter predictions are unchanged, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Edited on 2008-02-11 03:07:16 by CharlesFrancis
Additions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. In standard general relativity, the passage of light from an event to an observation is modeled incrementally in the surface, but implementing wave theory, together with the collapse of the wave function, is problematic. In relational quantum gravity classical spacetime is the envelope of tangent spaces (pale blue). Wave evolution takes place in a tangent space (red), and is projected back to the curved surface in the collapse of the wave function (blue). In observations on local matter predictions are unchanged, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Together with observed supernova redshifts, the model reveals a finite universe expanding at half the rate of the standard model and requiring no cosmological constant or exotic “cold dark matter” (CDM). Galaxy rotation curves are explained without modifying Newtonian gravity (i.e. MOND). The acid test is a statistical analysis of the motions local stars. A correlation has been found which clearly shows that the standard model overstates radial velocities. If one rejects the notion that the Sun occupies a preferred position in space, one must also reject the redshift predictions of standard general relativity, and reassess the properties of the universe in which we live.
Deletions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. Implementing wave theory, together with the collapse of the wave function, is problematic. In relational quantum gravity, wave evolution takes place in a tangent space (red). Classical spacetime is the envelope of tangent spaces (pale blue), and is restored in the collapse of the wave function (blue). In observations on local matter, there is no change to predicted evolution, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Together with observed supernova redshifts, these predictions reveal a universe expanding at half the rate of the standard model and requiring no cosmological constant or exotic “cold dark matter” (CDM). Galaxy rotation curves are explained without modifying Newtonian gravity (i.e. MOND). The acid test is a statistical analysis of the motions local stars. A correlation has been found which clearly shows that the standard model overstates radial velocities. If one rejects the notion that the Sun occupies a preferred position in space, one must also reject the redshift predictions of standard general relativity, and reassess the properties of the universe in which we live.
Edited on 2008-02-11 01:31:39 by CharlesFrancis
Additions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. Implementing wave theory, together with the collapse of the wave function, is problematic. In relational quantum gravity, wave evolution takes place in a tangent space (red). Classical spacetime is the envelope of tangent spaces (pale blue), and is restored in the collapse of the wave function (blue). In observations on local matter, there is no change to predicted evolution, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Deletions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. Implementing wave theory together with the collapse of the wave function, is problematic. In relational quantum gravity, wave evolution takes place in a tangent space (red). Classical spacetime is the envelope of tangent spaces (pale blue), and is restored in the collapse of the wave function (blue). In observations on local matter, there is no change to predicted evolution, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Edited on 2008-02-11 01:16:42 by CharlesFrancis
Additions:
For a mathematician, such as the author, a proof of a physical theory requires that it is developed deductively from statements about physics which we can see are true (postulates). This is how Einstein developed special relativity. Relational quantum gravity was developed in the same way, and from the same general principles. If the postulates are true, and the deductions are correct, the conclusions are inevitable. Physicists generally also require empirical evidence; a theory should make testable predictions. General relativity applies to classical physics. Relational quantum gravity extends classical general relativity to the quantum domain using the teleconnection. The teleconnection is used to describe the transmission of light (photons) from distant stars and leads to empirical predictions which differ from those of general relativity only in the treatment of Doppler shifts from distant astronomical objects.
Deletions:
For a mathematician, such as the author, a proof of a physical theory requires that it is developed deductively from statements about physics which we can see are true (postulates). This is how Einstein developed special relativity. Relational quantum gravity was developed in the same way, and using the same general principles as postulates. If the postulates are true, and the deductions are correct, the conclusions are inevitable. Physicists generally also require empirical evidence; a theory should make testable predictions. General relativity applies to classical physics. Relational quantum gravity extends classical general relativity to the quantum domain using the teleconnection. The teleconnection is used to describe the transmission of light (photons) from distant stars and leads to empirical predictions which differ from those of general relativity only in the treatment of Doppler shifts from distant astronomical objects.
Edited on 2008-02-11 01:14:18 by CharlesFrancis
Additions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. Implementing wave theory together with the collapse of the wave function, is problematic. In relational quantum gravity, wave evolution takes place in a tangent space (red). Classical spacetime is the envelope of tangent spaces (pale blue), and is restored in the collapse of the wave function (blue). In observations on local matter, there is no change to predicted evolution, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Deletions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. Implementing a wave theory on a curved surfaces, together with the collapse of the wave function, is problematic. In relational quantum gravity, wave evolution takes place in a tangent space (red). Classical spacetime is the envelope of tangent spaces (pale blue), and is restored in the collapse of the wave function (blue). In observations on local matter, there is no change to predicted evolution, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Edited on 2008-02-11 01:05:04 by CharlesFrancis
Additions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. Implementing a wave theory on a curved surfaces, together with the collapse of the wave function, is problematic. In relational quantum gravity, wave evolution takes place in a tangent space (red). Classical spacetime is the envelope of tangent spaces (pale blue), and is restored in the collapse of the wave function (blue). In observations on local matter, there is no change to predicted evolution, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Deletions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. Implementing a wave theory on a curved surfaces, together with the collapse of the wave function is problematic. In relational quantum gravity, wave evolution takes place in a tangent space (red). Classical spacetime is the envelope of tangent spaces (pale blue), and is restored in the collapse of the wave function (blue). In observations on local matter, there is no change to predicted evolution, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Edited on 2008-02-11 01:04:06 by CharlesFrancis
Additions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the green curve. Implementing a wave theory on a curved surfaces, together with the collapse of the wave function is problematic. In relational quantum gravity, wave evolution takes place in a tangent space (red). Classical spacetime is the envelope of tangent spaces (pale blue), and is restored in the collapse of the wave function (blue). In observations on local matter, there is no change to predicted evolution, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Deletions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the pale blue curve. Implementing a wave theory on a curved surfaces is mathematically difficult, and the collapse of the wave function is problematic. In relational quantum gravity, wave evolution takes place in a tangent space (red). Classical spacetime is the envelope of tangent spaces (green), and is restored in the collapse of the wave function (blue). In observations on local matter, there is no difference in predicted evolution, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Edited on 2008-02-11 00:45:05 by CharlesFrancis
Additions:
For a mathematician, such as the author, a proof of a physical theory requires that it is developed deductively from statements about physics which we can see are true (postulates). This is how Einstein developed special relativity. Relational quantum gravity was developed in the same way, and using the same general principles as postulates. If the postulates are true, and the deductions are correct, the conclusions are inevitable. Physicists generally also require empirical evidence; a theory should make testable predictions. General relativity applies to classical physics. Relational quantum gravity extends classical general relativity to the quantum domain using the teleconnection. The teleconnection is used to describe the transmission of light (photons) from distant stars and leads to empirical predictions which differ from those of general relativity only in the treatment of Doppler shifts from distant astronomical objects.
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the pale blue curve. Implementing a wave theory on a curved surfaces is mathematically difficult, and the collapse of the wave function is problematic. In relational quantum gravity, wave evolution takes place in a tangent space (red). Classical spacetime is the envelope of tangent spaces (green), and is restored in the collapse of the wave function (blue). In observations on local matter, there is no difference in predicted evolution, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Deletions:
For a mathematician, such as the author, a proof of a physical theory requires that it is developed deductively from statements about physics which we can see are true (postulates). This is how Einstein developed special relativity. Relational quantum gravity was developed in the same way. If the postulates are true, and the deductions are correct, the conclusions are inevitible. Physicists generally also require empirical evidence; a theory should make testable predictions. General relativity applies to classical physics. Relational quantum gravity extends classical general relativity to the quantum domain using the teleconnection. The teleconnection is used to describe the transmission of light (photons) from distant stars and leads to empirical predictions which differ from those of general relativity only in the treatment of Doppler shifts from distant astronomical objects.
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the pale blue curve. Implementing a wave theory on a curved surfaces is mathematically difficult, and the collapse of the wave function is problematic. In relational quantum gravity, wave evolution takes place in a tangent space (green). Classical spacetime is the envelope of tangent spaces, and is restored in the collapse of the wave function (red). In observations on local matter, there is no difference in predicted evolution, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Edited on 2008-02-10 23:58:54 by CharlesFrancis
Additions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the pale blue curve. Implementing a wave theory on a curved surfaces is mathematically difficult, and the collapse of the wave function is problematic. In relational quantum gravity, wave evolution takes place in a tangent space (green). Classical spacetime is the envelope of tangent spaces, and is restored in the collapse of the wave function (red). In observations on local matter, there is no difference in predicted evolution, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Deletions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the pale blue curve. Implementing a wave theory on a curved surfaces is mathematically difficult, and the collapse of the wave function is problematic. In relational quantum gravity, wave evolution takes place in a flat configuration space (green). Classical spacetime is the envelope of these configuration spaces, and is restored in the collapse of the wave function. In observations on local matter, there is no difference in predicted evolution, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Edited on 2008-02-10 23:54:27 by CharlesFrancis
Additions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the pale blue curve. Implementing a wave theory on a curved surfaces is mathematically difficult, and the collapse of the wave function is problematic. In relational quantum gravity, wave evolution takes place in a flat configuration space (green). Classical spacetime is the envelope of these configuration spaces, and is restored in the collapse of the wave function. In observations on local matter, there is no difference in predicted evolution, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. | |
Deletions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the pale blue curve. Implementing a wave theory on a curved surfaces is mathematically difficult, and the collapse of the wave function is problematic. In relational quantum gravity, wave evolution takes place in a flat configuration space (green). Classical spacetime is the envelope of these configuration spaces, and is restored in the collapse of the wave function. In observations on local matter, there is no difference in predicted evolution, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. |
Edited on 2008-02-10 23:53:32 by CharlesFrancis
Additions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the pale blue curve. Implementing a wave theory on a curved surfaces is mathematically difficult, and the collapse of the wave function is problematic. In relational quantum gravity, wave evolution takes place in a flat configuration space (green). Classical spacetime is the envelope of these configuration spaces, and is restored in the collapse of the wave function. In observations on local matter, there is no difference in predicted evolution, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. |
Deletions:
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the pale blue curve. Implementing a wave theory on a curved surfaces is mathematically difficult, and the collapse of the wave function is problematic. In relational quantum gravity, wave evolution takes place in a flat configuration space (green). Classical spacetime is the envelope of these configuration spaces, and is restored in the collapse of the wave function. In observations on local matter, there is no difference in predicted evolution, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. |
Oldest known version of this page was edited on 2008-02-10 23:52:35 by CharlesFrancis []
Page view:
Preface →
Relational Quantum Gravity is a unified mathematical model of physics based on the principle that we can only say where something is relative to other matter. This principle has long been the subject of active discussion among philosophers, but, since the time of Newton, physical theory has always been formulated using position within space or spacetime. The use of only relative position without reference to prior spacetime is mathematically subtle. A rigorous treatment requires considerable care and resolves many of the deepest problems facing theoretical physics.
For a mathematician, such as the author, a proof of a physical theory requires that it is developed deductively from statements about physics which we can see are true (postulates). This is how Einstein developed special relativity. Relational quantum gravity was developed in the same way. If the postulates are true, and the deductions are correct, the conclusions are inevitible. Physicists generally also require empirical evidence; a theory should make testable predictions. General relativity applies to classical physics. Relational quantum gravity extends classical general relativity to the quantum domain using the teleconnection. The teleconnection is used to describe the transmission of light (photons) from distant stars and leads to empirical predictions which differ from those of general relativity only in the treatment of Doppler shifts from distant astronomical objects.
| In standard general relativity, spacetime is modelled by analogy with a smooth curved surface, represented by the pale blue curve. Implementing a wave theory on a curved surfaces is mathematically difficult, and the collapse of the wave function is problematic. In relational quantum gravity, wave evolution takes place in a flat configuration space (green). Classical spacetime is the envelope of these configuration spaces, and is restored in the collapse of the wave function. In observations on local matter, there is no difference in predicted evolution, but the redshift of light from distant stars is predicted to be different when cosmological expansion is taken into account. |
Together with observed supernova redshifts, these predictions reveal a universe expanding at half the rate of the standard model and requiring no cosmological constant or exotic “cold dark matter” (CDM). Galaxy rotation curves are explained without modifying Newtonian gravity (i.e. MOND). The acid test is a statistical analysis of the motions local stars. A correlation has been found which clearly shows that the standard model overstates radial velocities. If one rejects the notion that the Sun occupies a preferred position in space, one must also reject the redshift predictions of standard general relativity, and reassess the properties of the universe in which we live.
This website provides an introduction to the philosophical foundation, the mathematical theory, and the empirical evidence for relational quantum gravity for the non-specialist, as well as links to the papers in which a rigorous treatment is given and empirical tests are reported as evidence that the teleconnection is required in order to correctly describe the transmission of light from distant stellar objects.
Charles Francis M.A. (math. Cantab.) Ph.D. (math. Lond.).
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