Additions:
Additions:
""
""To calculate the predicted drift, let the classical momentum of Pioneer at the time of loss of radar lock, ""t0"", be represented by a vector ""p"". Pioneer’s classical momentum is constant in ""τ−ρ coordinates"" with non-physical metric ""
"" (neglecting radiation pressure and the gravity of the Sun). Meanwhile vectors on Earth are contracted because of the expansion of the Universe. So, noting that ""t0"" is now the earlier time, as determined from signals detected on Earth, classical energy is
Deletions:
""
""To calculate the predicted drift, let the classical momentum of Pioneer at the time of loss of radar lock, ""t0"", be represented by a vector ""p"". Pioneer’s classical momentum is constant in ""τ−ρ coordinates"" with non-physical metric """" (neglecting radiation pressure and the gravity of the Sun). Meanwhile vectors on Earth are contracted because of the expansion of the Universe. So, noting that ""t0"" is now the earlier time, as determined from signals detected on Earth, classical energy is
Additions:
""""To calculate the predicted drift, let the classical momentum of Pioneer at the time of loss of radar lock, ""t0"", be represented by a vector ""p"". Pioneer’s classical momentum is constant in ""τ−ρ coordinates"" with non-physical metric """" (neglecting radiation pressure and the gravity of the Sun). Meanwhile vectors on Earth are contracted because of the expansion of the Universe. So, noting that ""t0"" is now the earlier time, as determined from signals detected on Earth, classical energy is
Deletions:
"""". To calculate the predicted drift, let the classical momentum of Pioneer at the time of loss of radar lock, ""t0"", be represented by a vector ""p"". Pioneer’s classical momentum is constant in ""τ−ρ coordinates"" with non-physical metric """" (neglecting radiation pressure and the gravity of the Sun). Meanwhile vectors on Earth are contracted because of the expansion of the Universe. So, noting that ""t0"" is now the earlier time, as determined from signals detected on Earth, classical energy is
To my knowledge, an essentially similar calculation has been carried out independently by three other researchers, [[http://arxiv.org/abs/astro-ph/0409615 Kris Krogh]], and [[http://arxiv.org/abs/0806.0241 L.M. Tomilchik]]
Additions:
"""". To calculate the predicted drift, let the classical momentum of Pioneer at the time of loss of radar lock, ""t0"", be represented by a vector ""p"". Pioneer’s classical momentum is constant in ""τ−ρ coordinates"" with non-physical metric """" (neglecting radiation pressure and the gravity of the Sun). Meanwhile vectors on Earth are contracted because of the expansion of the Universe. So, noting that ""t0"" is now the earlier time, as determined from signals detected on Earth, classical energy is
Deletions:
To calculate the predicted drift, let the classical momentum of Pioneer at the time of loss of radar lock, ""t0"", be represented by a vector ""p"". Pioneer’s classical momentum is constant in ""τ−ρ coordinates"" with non-physical metric """" (neglecting radiation pressure and the gravity of the Sun). So, noting that ""t0"" is now the earlier time, as determined from signals detected on Earth classical energy is
Additions:
It is not clear why radar lock was lost. This is usually put down to equipment failure due to unknown cause, possibly hostile conditions during the Jupiter flyby. A quantum theoretic explanation would be more satisfying if it were possible to present some reason of principle why radar should be lost at a given point, rather than simply equipment failure. No such reason of principle has been found. It is clear that the teleconnection requires two distinct laws for redshift, depending on whether the reference frames used to describe the initial and final states are necessarily distinct, or whether they can be calibrated to each other and treated as a single reference frame. It is not clear precisely how to state the conditions which differentiate these two situations. A similar dichotomy will be seen in the [[QuantumCoordinates Illusory Orbital Velocity]] found in teleconnection analysis of [[GalaxyRotationCurves galaxy rotation curves]]. An illusory velocity is found for stars in bound orbits in the Milky Way, but not for planets in the solar system. This dichotemy is reflected in [[GalaxyRotationCurves MOND]]. At the present time it can only be treated phenomenologically. An explanation might be expected to involve the distance of a radiation source from the Sun as well as the peculiar motions of both the Sun and the radiation source relative to ""τ−ρ coordinates"".
To my knowledge, an essentially similar calculation has been carried out independently by three other researchers, [[http://arxiv.org/abs/astro-ph/0409615 Kris Krogh]], and [[http://arxiv.org/abs/0806.0241 L.M. Tomilchik]]
Deletions:
It is not clear why radar lock was lost. This is usually put down to equipment failure due to unknown cause, possibly hostile conditions during the Jupiter flyby. A quantum theoretic explanation would be more satisfying if it were possible to present some reason of principle why radar should be lost at a given point, rather than simply equipment failure. No such reason of principle has been found. It is clear that the teleconnection requires two distinct laws for redshift, depending on whether the reference frames used to describe the initial and final states are necessarily distinct, or whether they can be calibrated to each other and treated as a single reference frame. It is not clear precisely how to state the conditions which differentiate these two situations. A similar dichotomy will be seen in the [[IllusoryVelocity Illusory Orbital Velocity]] found in teleconnection analysis of [[GalaxyRotationCurves galaxy rotation curves]]. An illusory velocity is found for stars in bound orbits in the Milky Way, but not for planets in the solar system. This dichotemy is reflected in [[GalaxyRotationCurves MOND]]. At the present time it can only be treated phenomenologically. An explanation might be expected to involve the distance of a radiation source from the Sun as well as the peculiar motions of both the Sun and the radiation source relative to ""τ−ρ coordinates"".
To my knowledge, an essentially similar calculation has been carried out independently by two other researchers, [[http://arxiv.org/abs/astro-ph/0409615 Kris Krogh]] and [[http://arxiv.org/abs/0806.0241 L.M. Tomilchik]]
