Quantcast
  • Register
PhysicsOverflow is a next-generation academic platform for physicists and astronomers, including a community peer review system and a postgraduate-level discussion forum analogous to MathOverflow.

Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion.

Please help promote PhysicsOverflow ads elsewhere if you like it.

News

PO is now at the Physics Department of Bielefeld University!

New printer friendly PO pages!

Migration to Bielefeld University was successful!

Please vote for this year's PhysicsOverflow ads!

Please do help out in categorising submissions. Submit a paper to PhysicsOverflow!

... see more

Tools for paper authors

Submit paper
Claim Paper Authorship

Tools for SE users

Search User
Reclaim SE Account
Request Account Merger
Nativise imported posts
Claim post (deleted users)
Import SE post

Users whose questions have been imported from Physics Stack Exchange, Theoretical Physics Stack Exchange, or any other Stack Exchange site are kindly requested to reclaim their account and not to register as a new user.

Public \(\beta\) tools

Report a bug with a feature
Request a new functionality
404 page design
Send feedback

Attributions

(propose a free ad)

Site Statistics

205 submissions , 163 unreviewed
5,047 questions , 2,200 unanswered
5,345 answers , 22,709 comments
1,470 users with positive rep
816 active unimported users
More ...

  Polymetric Analysis: Retrospective and Perspective

Originality
+ 0 - 0
Accuracy
+ 0 - 0
Score
0.00
520 views
Referee this paper: ijritcc.v4i1.1729 by Petro P. Trokhimchuck

Please use comments to point to previous work in this direction, and reviews to referee the accuracy of the paper. Feel free to edit this submission to summarise the paper (just click on edit, your summary will then appear under the horizontal line)

(Is this your paper?)


The concept of polymetric analysis is analyzed. The necessity of creation, basic peculiarities of development and some application of this science are discussed. Bonds of polymetric analysis and other sciences, including mathematics, computer science and theory of information, are shown. Problem of century in cybernetics by S. Beer and way of their resolution with help of polymetric analysis is analyzed too.

requested Nov 20, 2021 by Mitchell Porter (1950 points)
summarized by Dilaton
paper authored Jan 30, 2016 to math by  (no author on PO assigned yet) 
  • [ revision history ]
    edited Nov 21, 2021 by Dilaton

    This paper is about a problem-solving methodology called "polymetric analysis", to which physics ideas have made a significant contribution, e.g. "The polymetric method may be represented as functional expansion of the optical interpretation of the quantum mechanics on all knowledge." This optical interpretation is described in the paper and is the work of the same author. 

    Polymetric analysis came to my attention via a paper in the cs.AI category at arxiv, https://arxiv.org/abs/2111.09762 ;

    I have returned to this paper several times since requesting a review, but it's still rather baffling. 

    For example, mathematically, special importance is attached to quadratic forms (i.e. polynomials in which every term has degree two). Various kinds of functions are to be built up. A notion of duality (between what Trokhimchuck calls "straight" and "opposite" objects) is also there. Also important is "optimal calculation", which seems to mean, performing calculations as efficiently as possible, given their computational complexity. 

    So some kind of mathematical toolkit is assembled, but I don't see the reason why these particular tools are regarded as ideal for all purposes. 

    Then there's a typology of systems ("theory of hybrid systems") that I don't understand at all. But we are told that classical mechanics is a "simple system", quantum mechanics in the Heisenberg picture is a "parametric simple system", quantum mechanics in the Schrodinger picture is a "functional simple system", and quantum mechanics in the interaction picture is a "semisimple system". 

    There is also a general theory of measurement according to which a measurement has a "logic region" and a "chaotic region". 

    Your Review:

    Please use reviews only to (at least partly) review submissions. To comment, discuss, or ask for clarification, leave a comment instead.
    To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
    Please consult the FAQ for as to how to format your post.
    This is the review box; if you want to write a comment instead, please use the 'add comment' button.
    Live preview (may slow down editor)   Preview
    Your name to display (optional):
    Privacy: Your email address will only be used for sending these notifications.
    Anti-spam verification:
    If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:
    p$\hbar$ysic$\varnothing$Overflow
    Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds).
    Please complete the anti-spam verification




    user contributions licensed under cc by-sa 3.0 with attribution required

    Your rights
    ...