19 Questions 74 Answers 0 Followers
Questions related from Steve Faulkner
Is anyone doing research, investigating reasons for space being 3-dimensional.
18 March 2024 8,292 19 View
Consider the non-trivial eigenvalue equation Ax = λx. Dividing through by λ gives [A/λ]x = x. Can it be said that any vector x that solves this equation is a fixed-point in the vector space? And...
23 November 2023 3,473 3 View
We understand from Special Relativity that the speed of light is an upper limit on the relative speed between moving objects. This concerns the rate of change of position, and constant...
12 May 2021 4,381 9 View
What experimental evidence (or any other) contradicts the use of non-unitary, non-Hermitian mathematics to represent pure quantum states? This question relates to pure states, not mixed states....
23 April 2018 3,521 16 View
Are Natural Mathematical Processes a necessary component in the running of the Physical Universe? Could the Universe operate without them? For example, are mathematical processes essential in...
12 May 2016 4,748 14 View
The example I have in mind is a pair of integrals, over an inseparable domain, that do not exist unless weighted by functions in Banach space. But even if they are not, they can inter-substitute...
26 April 2016 9,417 23 View
Could contradiction play a role in quantum systems, as part of the mechanism of measurement, forcing a single random outcome from the spectrum of possibilities? All ideas are welcome, including...
27 December 2015 4,807 4 View
In arithmetics or algebras that cannot be completed, if any statement is logically independent of the axioms, is it also mathematically undecidable. Are these concepts identical?
03 December 2015 783 12 View
Unit vectors i, j, k are defined as the basis for orthogonal 3-space. My view is that these unit vectors are man-made and that Nature does not know about them. That is to say, the information...
26 August 2015 9,892 23 View
Does it help us understand concepts of randomness and probability by considering the possibility that randomness may be involved in certain strange systems, where only one outcome is possible....
29 May 2015 2,351 8 View
If the decision between two choices is to be made, but neither choice is preferred over the other, because there is perfect symmetry between the two, then no information separates the choices and...
28 April 2015 4,753 51 View
We draw the complex number system as a 2- dimensional plane. But are any of the numbers there mutually orthogonal? Is this pictture misleading?
23 April 2015 3,887 22 View
Are randomness and probability independent of one another, or does one depend on the other, or are they different expressions of the same thing?
19 March 2015 8,663 55 View
Will this be the final incarnation of this question? My purpose in asking these questions is to motivate the kind of physical theory that accepts that Physical Laws are part of The Universe, as...
10 October 2014 3,112 35 View
Can The Physical Laws be regarded as a computational program that runs The Universe (Everything)? If so, does the program need to generate The Physical Laws themselves? This question is a...
06 October 2014 8,762 24 View
Could Fermat and Wilson's Theorem be the reason space is locally Euclidiean, and if so, does curved-spacetime disobey their theorem?
02 October 2014 732 12 View
Whenever we invoke a representation for a group --using a matrix group, or group of differential operators -- are we converting a problem in group variables to one in arithmetical variables (field...
28 September 2014 1,651 9 View
For a general quantum system, what is the precise information content of a prepared state? And what is the precise information content after measurement? The question I am asking here is not...
15 September 2014 6,167 2 View
In a formal arithmetical system, axiomatised under the field axioms, the square root of minus one is logically independent of axioms. This is proved using Soundness and Completeness Theorems...
15 September 2014 4,005 13 View
