Dear David,
You give good thoughts to David Spergel and Rebecca Goldstein:
"Both dark matter and dark energy require extensions to our current understanding of particle physics or point toward a breakdown of general relativity on cosmological scales."
"The necessary incompleteness of even our formal systems of thought demonstrates that there is no nonshifting foundation on which any system rests."
To overcome the crisis of understanding in the philosophical basis of fundamental science, it is necessary to call for help the paradigm of the world (Universum) as a whole (holistic generating process). This step is pushed not only by the crisis in the foundations of science, but above all by the modern Information Revolution and the problem of understanding the nature of information, its place in the scientific picture of the world, and therefore the nature of the "laws of Nature". Quantum theory and General Relativity are parametric (phenomenological, operationalistic) theories without an ontological basification (justification). Also, and "string theory". It is necessary to "dig" with an extremely sharp "Occam's razor" to the most remote meaningful ontological depths -- absolute forms of the existence of matter (absolute states). The time has come to introduce the Ontological standard for justification (basification) theories that claim to be called "fundamental". Today the motto is relevant for physics: "Physics, do not be afraid of metaphysics and dialectics!"
Mathematics is the "language of Nature." But the centennial problem of justification (substantiation, basification)) mathematics, and therefore knowledge in general, remains unsolved. Radical dialectic and ontological ideas are needed to overcome the crisis of understanding in the philosophical (ontological) basis of fundamental science. Physicists, mathematicians, information workers, poets and musicians must have a single picture of the world. A good conclusion was made by the philosopher Pavel Florensky: "We repeat: worldunderstanding is spaceunderstanding."
David! Do you support the Big Bang hypothesis?
Please also see my dialectic and ontological ideas .
With kind regards, Vladimir