Notes
Sunday 9 January 2022 - Saturday 8 January 2022
[Notebook: DB 87: Cognitive Cosmology]
[page 156]
Sunday 9 January 2022
I am searching for a god stolen from the people by the ruling classes who have arrogated divinity to themselves.
Monday 10 January 2022
Unresponsive authority is a consequence of lack of entropy in dictatorial regimes.
Can we model a brain with a differentiable manifold, each synapse being a differential operator and each neuron an integrator integrating the synaptic inputs through a moving window of time. So the brain looks like a gravitating universe on one scale and the inside of a neutrino on another.
Let us say that Hilbert space is the home of Plato's forms made functional by Aristotle's energeia. Forms, as Aristotle noted,
page 157
cannot do anything by themselves. Formal mathematics needs mathematicians or computers to drive it and the driver of the universe is the quantum of action. . . . ie action = {matter, form, energy}. The scholastic analysis of matter and form is something of an illusion. Everything is concrete act.
Tuesday 11 January 2022
. . .
Wednesday 12 January 2022
Is there enough variety in music to map the world?
[page 158]
We start at the beginning, the purely actual god of Aquinas.
I am having a Cartesian moment, maybe all the physicists are right, but I cannot really believe it and must continue with my physico-theological dream which follows of necessity if the universe is divine. I skim over things because time is of the essence when one is trying to save the world but it is time for a bit of slow meticulosity. The connection between the quantum of action and the stationary variation of the Lagrangian is pregnant with meaning, worth a few days thought. Cartesian doubt - Wikipedia, Lagrangian mechanics - Wikipedia
Thursday 13 January 2022
Another quixotic morning. One may judge mental health in a quantum mechanical way with the interplay between cognitive dissonance and cognitive resonance, being analogous to fermions which stay apart due to dissonant wave functions and bosons which flock together due to resonance. Don Quixote was a fermionic personality, rather divorced from his ambient reality whereas "stars" who win widespread public acclaim and millions of followers fall into the resonant category. The aim of science is to resonate with the universe, but this is not slways easy and so we find every century or so a dissenter like Galileo whose dissent eventually becomes resonant, establishing a new scientific paradigm. I feel that I am caught on the cusp of a similar paradigm change. For about sixty years I have quietly dissented from the Catholic Church and in the process of developing the view that theology must become a science and resonate with the universe I have reached the position where consistency between physics and theology has become necessary for my peace of mind. [This] has brought me into conflict with the current physical paradigm
[page 159]
which tries to interpret a universe of discrete particles with a continuum of fields. My position at the moment is messy, but what I seek, like the recently deceased E. O. Wilson, is a new synthesis which is to be realised on a personal website which reflects the current state of cognitive dissonance which sets me apart from my [theological] contemporaries and has a whiff of supersymmetry, the interplay of fermions and bosons in the human cognitive / academic space. E. O. Wilson - Wikipedia
The quantum of action (a measure of action) is the application by the universe of the Lagrangian variational method.
Quantization is preserved by means of operator since they behave like integers with no division and no fractions. Ring (mathematics) - Wikipedia, Unitarity (physics) - Wikipedia
Hilbert space is a function space and since we can understand (following Chaitin) that functions can be represented by Turing machines we may think of Hibert soace as a space of computers that compute functions and natural slectin tends to favour compressible functions that use fewer computing resources to achieve their ends, ie they can be expressed by algorithms shorter than themselves. Gregory J. Chaitin: Randomness and Mathematical Proof
What I really want to do is to work backwards from the fixed quantum of action to find the potential and kinetic energy and time [which is in effect what quantum field theory is trying to do].
The product of time between energy differences between kinetic and potential in the zero energy universe should be zero, but we might say that the uncertainty introduces by digital communication between potential and kinetic energy as we see in the harmonic oscillator (pendulum) gives rise to the quantum of action, the root of Shannon digital communication. The uncertainty in the swing of the pendulum is the wave of the wave.
Friday 14 January 2022
[page 160]