Notes DB 90: Psychogenesis_2024
Sunday 28 April 2024 - Saturday 4 May 2024
[page306]
Sunday 28 April 2024
We have laid the foundation for the big bang, a big noise
[page 307]
Hilbert space of an infinity of notes corresponding to the basis vectors a,, orthogonal, different frequencies, all normalized, equal loudness, all eisting formally and kinematically , a trinity extended to an infinity of gods, all identical, all different. Now we have to organize them, the job of quantum mechanics.
Modern dynamics began with Newton, the Earth and the Moon, a soluble two body problem. Gradually it became clear that the world, like the Hilbert space described above comprized an uncountable number of particles with mass, velocity and momentum colliding with one another constrained by two rules, conservation of energy and conservation of momentum. Unlike Earth and Moon, there was no force between them like gravitation, they formed ideal gases and their motions became the subject of steam engines and thermodynamics and a new variable entered, now we had momentum, energy and entropy. The first two quite clear, the third quite subtle. Entropy is not conserved, in fact it always tends to increase, except in cyclic, that is reversible processes like the heat engine devised by Carnot. The industrial revolution was built on the collisions of infinite numbers of identical particles constituting an ideal gas, a primordial situation.
Then electricity arrived on the scene.
[page 308]
It introduced two new features: radiation and forces beyond mere collisions between particles that explain the world of ideal gases. Meanwhile, at the other end of the scale, human relationships were rapidly evolving through war, colonialism, industrialization, democracy, human rights, theology and justice. But back to physics, the physics that powers all this. Classical physics, electrodynamics, chemistry and solid state introduced some new order into the thermodynamic noise. We come to the role of quantum mechanics turning the noise in Hilbert space into music [by selecting stationary notes].
The keys to quantum mechanics are linear operators which can map Hilbert spaces onto themselves. At their simplest, they are not just ordinary functions that map on point onto another. At their most complex they map an infinite vector onto another vector, Because they are linear, they basically work by addition and subtraction, and because certain superpositions create standing waves, they are capable of creating stationary points, we might call them notes, out of the Hilbert cacophony. They can multiply, since multiplication is simple repeated addition or subtraction, but they cannot exponentiate to create non-linear situation because a second application of the dame operator does nothing new, idempotence. We are in a way in the same boat as Carnot and Boltzmann, but now we know so much more about the particles in a hierarchy from elementary to Universe
[page 309]
Telescopes designed to superpose one photon on another to get better discrimination
The first quantum mechanical sort is into bosons and fermions. Stationary lasts [no time., no motion??].
von Neumann, page 66 Chapter II section 6 The Eigenvalue problem. We require finding all the solutions of φ ¬equ; 0. Hφ = λφ, λ real, φ an element of Hilbert space, H is a Hermitian operator.
What does the eigenvalue equation mean about reality? Its solutions are stable states which form a new basis for the Hilbert space we started with.
page 69. Finite solutions to the eigenvalue problem form a complete orthogonal set. So seeking a version of Rn that carries over to Rn
From the initial singularity on all particles have a Hilbert space "inside" just as bags of beans have arithmetic inside.
Von Neumann page 127 Quantum Statistics
In Chapter 1 the principal questions were the discoveries of the eigenvalues of the energy operator (ie the numbers of its spectrum) "We shall take as a basis the wave mechanical method of description since the equivalence of the two theories has already been established".
[page 310]
The state is normalized so that it must lie on the surface of a unit sphere in Hilbert space, Given |a| = 1, aφ = φ. The normalization is related to the q1 . . . . qk alone.
von Neumann page 127: Dependence on t is not to be considered in forming the Hilbert space, it is rather to be regarded as a parameter (ie (?) as t goes by φ wanders around the surface of the unit sphere φ has the statistics of a communication source [we are inclined to reify the mathematics but is it implicit in the reality as form in matter? As noted above, a bag of beans includes arithmetic].
Monday 29 April 2024
From function to operator. Hilbert on the infinite.
Now we need a new chapter in the book on the eigenvalue problem. This will become Chapter 14: Evolution and Intelligence and will concentrate on quantum evolution by natural selection.Construct from bits and pieces of cognitive cosmology.
[26 April 24.19 USD cognitive cosmology renewal]
Tuesday 30 April 2024
New chapter 14 in book to emphasize the role of the eigenvalue equation in quantum mechanics. As always, the incentive to write comes when I get what looks like a good idea. This chapter is about eigenvalues, stationary points, de Broglie and superposition
[page 311
replacing the confusion of noise by the simplicity and harmony of music by the exercise of intelligence. Boring really, because I have said it a thousand times, b¨t inspiration will come when I find a new angle. As it is we plod along from Maxwell to Planck to Einstein through particles and waves to de Broglie and Schrödinger and his eigenvalue problem. Is it right to bill this as intelligence? Lonergan. Meanwhile read Nielsen.
[Nielsen page 68: '. . . we find eigenvalues via the characteristic function defined by c(λ) ≡ det |A - λI| where det is the determinant function for matrices: it can be shown that the characteristic function only depends upon the operator A and not on the specific matrix representation used for A The solution of the characteristic equation c(λ) = 0 are the eigenvalues of the operator A By the fundamental theorem of algebra, every polynomial has at least one complex root so every operator A has at least one eigenvalue and the corresponding eigenvector.']
Check spelling etc in cc15_invisibility - two errors corrected in computer copy.
Wednesday 1 May 2024
Good progress on book after changing sequence of chapters to emphasize the role of quantum mechanics in the extraction [construction, synthesis by superposition] of stationary points [standing waves] in the Hilbert noise (the Hilbert vacuum) which replaces the vacuum of quantum field theory with a quantized rather than continuous domain in Hilbert space rather than Minkowski space, so allowing non-relativistic quantum mechanics to be the source of variation at the kinematic level to attract energy from gravitation to create real particles which will then be subject to further selection in Minkowski space under the influence of special relativity, whose role has yet to be explore. Story now appear to be a little more coherent and touch on points of similarity and difference with QFT.
[page 312]
Begin chapter 21 Fixed Points and Symmetries.
Traditionally God has been the invisible lawmaker, speaking through the minds, mouths and pens of traditional prophets. Now physics is the lawmaker and the laws were laid down in the beginning stretching from the quantum of action to general relativity via quantum mechanics, particles, spacetime, general covariance, the freedom of topological space.
Then Chapter 22: Networks, cooperation and bonding
Chapter 23: Matter and spirit, representation of spiritual values [in transfinite symbol space]
Chapter 24: Cosmic theology: The divine world we worship, cosmos + self
Chapter 25: Insight and belief - Intelligence and simplicity [matrix reduced to real number]
Chapter 26: The end of field theory: New physics, new heaven, new Earth
Chapter 27: Conequences: [Human sacrifice is stupid and unnecessary]
Chapter 28: Principles. 8 to go, = 2 weeks?
We are now living the vision of god which includes Vladimir Putin and the bliss of swimming in clear sunlight water.
Thursday 2 May 2024
A morning with my dear old Aunt and now I am home and writing again. Writing makes me happy as building once did, an intimate mix of theory and practice, looking for ideas and finding ways to make them in reality, in bricks or words.
[page 313]
Chapter 23 is the natural place to bring in transfinite numbers to represent spirit or soul as introduced in the theory of peace. Cantor began his discovery of transfinite numbers by dividing the continuum into ever finer points, the reals between the rationals, the ??? between the reals and so on using the idea of derived sets. Then he turned it around not by looking at smaller subdivisions of the line but by assigning cardinals to each derived set.so the rationals were ℵ0, the reals were ℵ1, the ??? were ℵ2 and so on. So we think of these as permutations and combinations of ever larger sets. So we have the smallest elementary particles representing ℵ0, assembling them into hadrons to get ℵ1, atoms to get ℵ2 and so on increasing the complexity of the represented spirit as we go. Jeffrey Nicholls (1987): A theory of peace
So let the first elementary particles be bosons and fermions, derived from the Hilbert vacuum by quantum mechanics and made dynamic by gravitation. Then we are in a positions to make Minkowski space with bosons and fermions for the 1 + 3 dimensions and we have them on the way to creating larger and larger psychological space as imagined in the theory of peace. This page has clarified the order of chapters from 11_create_hilbert to 17 create Minkowski.
[page 314]
Friday 3 May 2024
Remembering my ebook on Amazon revised in 2020. When the current book is finished I should edit this, publish a second edition on Amazon and promote it. Looks good in retrospect and should invest in it. Jeffrey Nicholls (2018): Scientific Theology: A new vision of God.
Time to make a serious attempt to implement google analytics! I just have to work steadily and it will come out in the end. 60 years of my theological gestation have passed. I hope the child will be born in the next 10, but I do not want it to be premature.
Saturday 4 May 2024
Dear diary, waiting for the idea that will spur me on to finish page 14 today. It is mostly done. Need not spend to many words discussing the solution to an eigenvalue problem apart from the fact that it requires finding the roots of s polynomial that gets difficult for 5th degree and higher. Abel-Ruffini theorem - Wikipedia[page 315]
The eigenvalue problem has two unknowns, a set of vectors and an operator. The problem is defined in Misner, Thorne and Wheeler page 71: "Any forward step in human knowledge in this sense is truly creative in that theory, concept, law and method of measurement—forever inseparable—are born into the world in union."
This is the thought I was waiting for, now some retail therapy. Put share links on all my pages: whatsapp, telegraph, linkedin, twitter, facebook,. reddit.
The fact that entanglement cannot carry information means that there is no actual information to be transferred because there is no real information in Hilbert space, only only the Hilbert spaces that are inside particles, or something like this —spirit has to be represented by matter and matter cannot travel faster than light. Why?
