[deleted]
Dear Anton
Thank you for your comments.
I am not so sure that your restatement
'I would rather argue that you observe the universe because of it's influence it has.'
of my opening sentence is so different. Though I do appreciate the fact that you move from one's knowing to observation. However, I would rather stay away from "observation" since it is a term loaded with a wide variety of preconceptions.
With regard to your question on Equation 5 and special relativity. We were studying how one could consistently quantify causally ordered sets. We realized that there were no symmetries in a general poset (unlike in lattices, one which my other research was based). At one point I realized that one could imagine an observer as a chain of events, and I considered how such an observer could quantify the poset. I realized that scalar measures of intervals would be based on quantities like dpdq and it was a flash of inspiration that allowed me to realize that this could be decomposed by considering symmetric and antisymmetric components. Now had I never learned of relativity, I would have still obtained the Minkowski metric this way. But I doubt I would have realized how one could derive the Lorentz transformation, nor would I have understood its deeper significance.
It all comes down to counting discrete events.
You can read more in our paper:
Knuth K.H., Bahreyni N. 2012. The Physics of Events: A Potential Foundation for Emergent Space-Time, arXiv:1209.0881 [math-ph]
and I should mention that Prof. Mauro D'Ariano has had similar ideas that he presents in his essay on qubits. Here is a link to one of his papers:
G. M. D'Ariano, On the "principle of the quantumness", the quantumness
of relativity, and the computational grand-unification, Quantum Theory: Reconsideration of Foundations, 5 ed. (New York) (A. Y. Khrennikov, ed.),
73 AIP Conference Proceedings, no. 1232, American Institute of Physics, 2010,
arXiv:1001.1088 [quant-ph].
Last, I look forward to seeing your essay on Michelson-Morley
Cheers
Kevin