Yes, that's rather my point.
Correct, however, we know that they are mutually exclusive.
Consider the state of physics 200 years ago. Suppose someone proposed the theory of quantum mechanics. Both classical and quantum mechanics would both explain all the data, and all experiments to day (i.e., 1813) would verifiy both theories. But, the two theories are still mutually exclusive.
This is because they both make predictions about as-yet untested situations (principally, the mechanics of small things), at least, untested in the year 1813.
General Relativity is the unique specialization (i.e., subset; special case) of Newtonian mechanics with the specification imposed that Newtonian mechanics be consistent with the speed of light being the same for all observers. The speed of light being the same for all observers is an automatic consequence of Maxwell's Equations, which was first shown by Hendrik Lorentz and then Albert Einstein.
James Clerk Maxwell obtained his Equations because there were five fundamental laws coming from experiment: Faraday's Law; Gauss's Law; Ampère's Law; No Magnetic Monopoles; and Conservation of Electric Charge. Maxwell realized that these laws were mutually mathematically inconsistent: the Conservation of Electric Charge directly contradicts Ampère's Law. So what Maxwell did was add a term to Ampère's Law which made it consistent with the other equations. Maxwell was left with only four equations, but the Conservation of Electric Charge could be derived from them. However, Maxwell's Equations meant that the speed of light had to be the same for all observers.
Elie Cartan showed that in Newtonian mechanics, gravity is curvature of time only; whereas in General Relativity, gravity is curvature of space and time, i.e., spacetime (cf. Frank J. Tipler, The Physics of Christianity [New York: Doubleday, 2007], p. 33; and pp. 79-80 of Frank J. Tipler, "Albert Einstein: A Scientific Reactionary", pp. 73-83, in John Brockman [Ed.], My Einstein [New York: Vintage Books, 2007; orig. pub. 2006]). When Lorentz and Einstein's insight regarding the speed of light being the same for all observers is combined with Newtonian mechanics, then the Newton equations automatically become the Einstein equations.
As was independently shown by Lev Landau and David Bohm, Quantum Mechanics is the unique specialization of Newtonian mechanics in its most powerful formulation, the Hamilton-Jacobi Equation, with the specification imposed that determinism is maintained: since the Hamilton-Jacobi Equation is indeterministic, because when particle trajectories cross paths a singularity is produced (i.e., the values in the equations become infinite) and so it is not possible to predict (even in principle) what happens after that (cf. id., The Physics of Christianity, pp. 48-49; and 7:17 min:sec ff. of Casey Luskin, interview of Frank Tipler, "Part 1: Einstein Vs. Darwin", Intelligent Design the Future, Feb. 13, 2013, audio run time: 17:25 min:sec).
Feynman-DeWitt-Weinberg quantum gravity is the unique quantization of General Relativity, i.e., it's the only way to quantize General Relativity, since quantizing a spin-2 field requires it to be a spacetime metric and imposes the full GL(4, R) symmetry group. Gravity in General Relativity is a spin-2 field, and General Relativity is a spacetime metric and possesses the full GL(4, R) symmetry group.
(In the above, "unique" means the only one mathematically possible within the context of parsimony, as one can always add arbitrary yet small terms which change the output so insignificantly that no current instruments can measure the difference, and hence it would presently still conform to experiment, but such arbitrary terms would not then be parsimonious, since they are not justified by mathematical necessity [i.e., in order to obtain a mathematically-consistent theory] nor are they experimentally justified.)
For these reasons--the fact that the history of physics since Newton has been a series of specializations, rather than generalizations, of fundamental physics--we can be confident that we have the correct Theory of Everything (TOE) in physics and that there is not going to be any new physics that comes along to displace the current known laws of physics. That is, since after Newton's physics, there has been no "revolution" in physics (e.g., such as with General Relativity and Quantum Mechanics, etc.), but instead an evolution of physics: the fundamental physics of today are simply more specific subsets of Newtonian mechanics, i.e., Newtonian mechanics with specific constrains put on it in order to make it consistent with observations and to make its resulting subsets mutually mathematically consistent with each other. So in over 300 years we have never left the realm of Newton's physics. And all the forces in physics are now described and made mutually consistent with the Omega Point/Feynman-DeWitt-Weinberg quantum gravity/Standard Model TOE.
This is the case today with QM and GR: though they both enjoy enormous empirical support, they do overlap in some areas, namely, high mass and small scale. That is to say, a black hole. QM and GR disagree about what happens at the core of a black hole - GR says the mass is infinitely dense, QM says the mass is of finite (albeit enormous) density. One or both have to be wrong - ergo, QM and GR are mutually exclusive.
That's a result of using boundary conditions that contradict observations and quantum field theory. The singularity is actually *more* inevitable in Quantum Mechanics than it is in General Relativity, because the Penrose-Hawking-Geroch Singularity Theorems assume attractive gravity, whereas no additional assumptions are required for the singularity to exist in Quantum Mechanics.
One way of stating Liouville's Theorem in complex analysis is that all analytic functions (i.e., holomorphic functions) other than constants have singularities either a finite distance from the origin of coordinates or at infinity (i.e., at the boundary of the complex plane), which is analogous to what occurs with the universe: the only way to avoid infinities in spacetime (consequently causing the instantaneous collapse of the entire universe) is for the universe to begin and end at singularities. Moreover, it doesn't matter what form of physics one resorts to, as any physically-realistic cosmology (e.g., one capable of incorporating Quantum Mechanics, since the complex number field is intrinsic to the mathematical formulations of Quantum Mechanics) must begin at an initial singularity and end at a final singularity. As Profs. Barrow and Tipler wrote, "Initial and final cosmological curvature singularities are required to avoid a universal action singularity." See:
John D. Barrow and Frank J. Tipler, "Action principles in nature", Nature, Vol. 331, No. 6151 (Jan. 7, 1988), pp. 31-34. Also released as "The Finite Action Principle; or, Singularities without Singularities", an entry in the Gravity Research Foundation's 1987 essay competition. http://www.gravityresearchfoundation.org/pdf/awarded/1987/barrow_tipler.pdf
And see:
Frank J. Tipler, "The Structure of the Classical Cosmological Singularity", in Origin and Early History of the Universe: Proceedings of the 26th Liège International Astrophyscial Colloquium, July 1-4, 1986 (Cointe-Ougree, Belgium: Universite de Liege, Institut d'Astrophysique, 1987), pp. 339-359; "Discussion", pp. 360-361. http://adsabs.harvard.edu/abs/1986LIACo..26..339T
Last edited:
Upvote
0