Bill Hobba wrote:
I came across this really interesting quote:
'to do good science you have to doubt everything including your ideas, your experiments, your conclusions'
My observation is 'what a load of bunkum'
If you doubt everything then no progress can be made. What good science is about is asking the right questions. Basically most questions will lead you nowhere; but occasionally you strike a gem - and that is what creates progress. For example Einstein asked 'what a light wave would look like if you moved with it'; and constructed SR. Dirac asked 'what would happen if I did not reject the minus values of my equation as unphysical' and we had the hole positron theory. Examples abound.
I contend it is not about doubting it is about asking the right questions. Any fool can doubt. It takes an Einstein, Landau, Feynman or a Dirac to ask the correct questions.
What do others think?
I believe that you've stated a tautology. Consequently therefore, I also believe that there's greater merit in your quote than in your opinion.
The truth is physicists are incredibly narrow-minded in their hostility to mathematical reality. My observations are that most physicists are so hopelessly indoctrinated by the established paradigms that they don't even have the will or the inclination to tolerate any logically consistent alternatives.
I perceive true physicists as mathematicians at heart who have escaped the standard pseudo-scientific brainwashing and, seeing the beauty of physics and their responsibility to society, have an inclination to confront the profoundly religious beliefs of physics.
Bob Kolker wrote:
Logical consistency is necessary but not sufficient. Theories must have some kind of experimental support to be plausible. But more important than the theories are the questions. It is questions that drive science.
In the realm of physics, Facts rule, Theories serve.
You really ought to read Isaac Newton's rules of hypothesizing in Book 3 of -Principia Mathematica-.
> Logical consistency is necessary but not sufficient. Theories must have some kind of experimental support to be plausible.SxR has all the experimental validity of SR. However, its existence as a viable alternative to SR is despised and rejected.
> But more important than the theories are the questions. It is questions that drive science. Questions that praise the prevailing paradigm are accepted.
Questions that refute the prevailing paradigm are rejected.
> In the realm of physics, Facts rule, Theories serve. Your statement is both naïve and false. I have presented facts and conclusions that are provably true and undeniably counter to the physicists' paradigm, yet the facts and provable conclusions are judged as unworthy of circulation, recognition and scrutiny. Why? In the realm of physics, prejudice rules. Theories are worshiped.
Bill Hobba wrote:
>SxR has all the experimental validity of SR. However, its existence as a viable alternative to SR is despised and rejected.
Your theory is only locally equivalent to SR. The reason it is rejected is not experiment, but the same reason LET is rejected - you make unnecessary and unwarranted assumptions. There is no reason to propose - a priori - that the world has this circular geometry. Just as there is no reason - a priori - to propose we have an aether. It is much more reasonable to suppose it is Euclidean - this is the natural geometry we find around us.
You misunderstand my purpose completely. In this forum I write as a mathematician, not as a religious relativist extolling the outrageous pretension that physicists comprehend the only possible, almighty and all-glorious nature of the universe. To a mathematician, presupposing that 3-space is infinite and Euclidean or one of several spherical space forms like RP^3 (projective 3-space) or S^3 (a hypersphere) are equally reasonable hypotheses. It is you with the unwarranted assumption that one of these spaces is more reasonable than the other! Where's your proof? Where are your empirical arguments? The presupposition that empty space must be flat and infinite in extent is the most unjustified and ignorant belief of all religious dogma. Stop protesting SxR by citing religious decrees. I am only selecting a different axiom set and asserting a viable alternative to Einstein's special relativity theory.
To argue in 1805 that a mathematician had no right to conceive of Minkowski spacetime until physicists were forced to abandon Galilean spacetime is an idea too medieval and barbaric to be tolerated. How dare that mathematician entertain axiom sets not sanctioned by the high priests of physics?Bill Hobba wrote:
Yes we believe the universe is bounded but that is the domain of GR not SR. And the basis of GR is not adherence to a particular geometry (only in a very limited sense of considering pseudo Riemannian geometries) but the specific rejection of any prior geometry - geometry (or more specifically the metric) is a dynamical variable in GR. Thus your idea of proposing a priori a circular universe is at odds with GR. This is the reason I believe one of the fundamental ideas of GR is no prior geometry. It is this idea that forces us to consider the metric as a dynamical variable from which the most reasonable Lagrangian gives the EFE's.
Topology is presupposed in GR, just as it is in SR. And
the history of the bias of physicists on this issue is both interesting and profitable.
Bob Kolker wrote:
Euclidean space is the simplest of spaces (mathematically speaking). Empirically, Euclidean geometry used locally has worked splendidly. Just look at the Pyramids for empirical support.
> The presupposition that empty space must be flat and infinite in extent is the most unjustified and ignorant belief of all religious dogma.
It is not dogma. It is heuristic. If there is no reason for believing the spatial manifold is curved, why assume that it is? Simplicity is a reasonable heuristic choice, especially in the absence of any countervailing empirical evidence.
Robert Kolker,
Your praise for Egyptian Pyramids has been noted. Your reliance on religious denials is nonsensical. In spite of your extremely devoted religious protestations, the rational mathematician still says that SxR, (S^2)xR and (S^3)xR exist in themselves as consistent mathematical models of spacetime. Deny this all you want. It is trivial that special relativity on a circle, sphere and hypersphere are viable alternatives to Einstein's SR theory. I'm not faulting you for being blind or religious. I fault you for NOT believing in
modus ponens.