I sent that paper to the biophysicist I blogged on yesterday - because he assumes a random foundation of reality. His early work that I quoted is based on the limit of time-frequency uncertainty as Planck's Constant over a geometric cycle. But in reality the foundation is not geometric but rather pure time as the 5th dimension that is noncommutative phase!
This paper cites Alain Connes and Bohm-Hiley as well. And has a long quote from Kauffman. At first I was going to email Kauffman - hey! But then I see that Rukhsan-Ul-Haq collaborates and co-publishes with Kauffman! haha.
Quantum theory of time perception: phases,clocks and quantum algebra
(Submitted on 1 May 2017 (v1), last revised 15 Jun 2017 (this version, v2))
Experience of time is one of the primordial human experiences which is deeply tied to human consciousness. But despite this intimate relation of time with human conscious experience, time has proved to be very elusive. Particularly in physics, though there is already some understanding of time, there are still so many paradoxes that plague this understanding. In this paper we take rather a different route to question of time. We first attempt to come up with a theoretical understanding of time perception. Quite interestingly we find that quantum theory provides an algebraic formulation within which we can understand some essential aspects of time perception by human mind. We then ask whether a similar formalism can furnish the understanding of time as well and find connections of our formulation of time with similar works by other researchers. Our underlying approach to question of time has been inspired by R. W. Hamilton who considers algebra as science of pure time. Hence our work has an extensive algebraic flavor. Our work also incorporates another approach based on Kauffman's iterant algebra which relates time to underlying recursions and oscillations. We believe that our work will initiate more investigations in this direction.And so I previously had blogged on Kauffman and the I-thought in philosophy - let's see if I still have it up. But Kauffman has a fascinating paper - pdf link - on eigenforms and nonlocality
The time of the nexus is at once flowing, beyond motion, an eigenform, a geometric operator, and a discrete dynamics counting below were counting cannot go.
Time and the square root of one are inseparable in the temporal nexus....only [square root of one x change in time] represents a true interval of time....Once this substitution is made, once the correct imaginary value is placed in the temporal circuit, the patterns of quantum mechanics appear.Notice how no randomness is mentioned! haha.
discrete measurement leads to commutators and how discrete derivatives are naturally represented by commutators in a non-commutative extension of the calculus in which they originally occurred. We show how the square root of minus one (i) arises naturally as a time-sensitive observable for an elementary oscillator. In this sense the square root of minus one is a clock and/or a clock/observer.Kauffman 2011
So then, in contrast, CP Kwong, 2009 The mystery of square root of minus one in quantum mechanics, and its demystification gives a fascinating history to how Schroedinger did not want to use the imaginary number - and in fact the "complex Fourier" can just be decomposed into real numbers as sine waves.
We use the famous example pq -qp = h/(2 pi i) to demonstrate the possible elimination of i when constructing this noncommutative relationship.
O.K. but we know from Bohm - that in fact it is precisely the imaginary number aspect of the Schrodinger equation that reveals the quantum potential (aka the Pilot Wave that is superluminal!!!).
And so the real issue here is not just an imaginary number but its noncommutative nonlocality as a process that is eternal time as protoconsciousness.
Clearly Kwong is arguing against Kauffman but neither seem to cite each other! Ah academia. Really taking the gloves off aren't they!!
O.K. I emailed Professor Kauffman on this.
No comments:
Post a Comment