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Epistemology - m a t h 4 w i s d o m - g m a i l
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Introduction E9F5FC Questions FFFFC0 Software |
Physics, Yoneda lemma, Systems?, Entropy Global quantum - Maxwell demon erases information because doesn't have which is what creates energy because only finite amount of memory available. Landauer's principle.
- Global quantum - physicists don't think about it, yet they believe in it - the solution to Maxwell's demon - memory must be finite and must get deleted.
- Erasing information {$X\rightarrow\epsilon$} is what creates reversibility.
- Local compactness is related to the global quantum.
Threesome - Local question - point
- Loops - experiment - relates the local and global quantum
- Loopspace - global quantum
Global quantum - How could general relativity arise from the global quantum as grounded in the foursome?
- An upper quantum for action - how does it relate to the Yoneda lemma as regards to the relation of programs with and without subroutines. The quantum limit imposes the need for subroutines. Action = subsystem = object (category theory).
- How are the three languages (argumentation, verbalization, narration) related to the language by which nature answers our questions about physics, which degenerates at quantum scales?
- Excitations and anti-excitations in local and global systems.
- Human freedom develops through the pressure of the quantum assumptions from above and below. Our freedom intensifies because the significance of our entanglement or disentanglement grows in its impact and implications on the whole system, which is so interconnected, but which makes quantum leaps both on the local and global levels.
- Can convert information into work = energy. Not just infinite, there is an upper bound.
- Why - relations with everything - global quantum. Reasons why can't too complicated, has to break down.
- Whether - local quantum can't get too small.
- Can't talk whether the universe is only why (can't measure the universe).
- Can't talk why - particular selection is only whether.
Measurement relates - Global wave-like (questions)
- Local particle-like (answer)
Global quanta - Addresses the entropy recurrence problem
- Reversability is local
- Otherwise "the low entropy start of the universe" is only reason, it elucidates it.
- Is information conserved? or created?
- Can temperature, pressure be fundamental from a global point of view?
Threesome. An experiment relates local quantum (answer) and global quantum (question). - Take a stand. Answer. Local quantum (particle).
- Follow through. Experiment (relate local to global). Perturb answer, vary answer.
- Reflect. Question. Global quantum. Resolve system and subsystem.
Has to cycle in this direction because experiments and learning have to proceed bottom up, not top down. This way allows the system to improve top down. The twosome takes us from question to answer. The fivesome brings us backwards from answer to question by way of experiment. Global quantum - More topology, more defects = better memory. Degenerate, no defects = less memory.
Vincentas Mulevičius. Monoidal categories and topological field theories. - The functor between bordisms (spaces) and vector space bundles (evolution of particle states) expresses Nature's language.
- In Nature's language, we reach the (quantum) limits from below with regard to the vector space bundles, the fineness of the fibers-particle.
- We reach the (quantum) limits from above with regard to the bordisms as the number of defects (such as holes) goes down and the memory goes down.
Topological field theory Vincentas Mulevičius - Chern-Simons theory
- Forms can be integrated on without a metric
- RT Topological quantum field theory
- BD Algebra
- Consider the action given by multiplying the energy of the rest mass of the Higgs boson (100 GeV) and the lifetime ({$10^{-22}$}) sec. It is very tiny. So in that sense it's not clear how it could be related to a global quantum.
Global quantum - Nature's language is limited at the smallest scales, which is the basis for quantum effects, as it must simplify to provide an answer, and can't be perfectly nuanced.
- Measurement and experiments take place with regard to action so quantizing action (whether in the smallest scales or largest scales) quantizes experiments and measurement.
- Think of action as A= Fxt where F=ma. Also, A=Et. A=px.
- Action is the size of a subsystem. How is action related to force? How is action related to slack?
- Angular momentum is a representation of action.
- Would it make sense to have a quantum giving the maximal size of an action, that is, a subsystem? What if there is an upper limit on action, a maximal quantum? And could such a constraint explain renomalisation? But also explain the acceleration of the expansion of the universe when a certain age t is reached, so that tE becomes too large, and so the system must be restructured, broken down by time into smaller systems? So that this restructuring yields a force? Or similarly as the size of the universe increases to a certain x, then p x must be restructured, so that the universe consists of smaller systems? Could such quantization from above explain dark energy and dark matter?
- Why is the matrix for M for relativistic angular momentum given as {$x^ap^b-x^bp^a$}? The units make sense.
- Quantizing action A affects dA, the principle of least action, the conservation laws.
- Is there a meaningful way of thinking about the Hamiltonian K+V as symmetric and the Lagrangian K-V as antisymmetric?
- https://en.m.wikipedia.org/wiki/Noether%27s_theorem based on action. Symmetry of coordinate system yields conservation law.
- 1) Thomas: Experimentalists know that initial conditions are never perfectly deterimined. They are the natural source of randomness. Do we need another source?
- 2) But if we can reduce experimental randomness, we could, it seems, have perfect knowledge.
- 3) But actually at the quantum level we are denied this as expressed by Heisenberg's uncertainty.
The contract with the universe - A) You have freedom with the understanding that on the global level there is an understanding that there is perfect knowledge.
- B) You have the freedom to experiment. You can exercise your freedom to isolate and (reversibly) control a subsystem to the degree of your ability.
- C) At a certain point, at the small scales, nature degenerates in terms of possibilities of expressing itself. Its language becomes limited.
- D) As participatory witnesses, we report back "natural consequences" like the second law of thermodynamics, statistical phenomenon that behave classically.
- E) Freedom is not on the global or local levels but at the middle level in terms of how to interpret everything as a participatory witness.
- Perturbation (small change) is an example of an experiment.
Systems - Nicholas Luhman - sociology is too interested in people. Sociology is communication between systems.
Memory evolutive systems - notions of perspective, concept, relationship - Article by Andrée C. Ehresmann, Jean-Paul Vanbremeersch
- Memory Evolutive Systems; Hierarchy, Emergence, Cognition. A C Ehresmann, J.P. Vanbremeersch
Local and global quantum are linked by experiments, by "the complicated interplay between infrared and ultraviolet affects", by a conspiracy of IR/UV mixing. - Quanta Magazine. A Deepening Crisis Forces Physicists to Rethink Structure of Nature’s Laws.
- Shiraz Minwalla, Mark Van Raamsdonk, Nathan Seiberg. Noncommutative Perturbative Dynamics.
- Global quanta have significance for morality. The Kravchuk polynomials arise when {$\frac{\gamma}{\alpha\beta}$} is an integer. And the chance of that is measure zero, possible but with zero probability. This is an example of "design" and a refutation of "emergence from chaos". The continuum is the presumption for an experiment based on the search for such possible evolution.
How is global quantum related to a system being defined in terms of action? |

This page was last changed on August 25, 2023, at 06:22 AM