Showing posts with label time travel. Show all posts
Showing posts with label time travel. Show all posts

Friday, September 12, 2025

Conformal transformations in 1+1 dimension and SO(2,2) - Part 1

 In a recent paper by Jack Sarfatti: "Dark Energy, Dark Matter, Low Power UAP Warp Drive Time Travel Poincare Gauge Theory" he suggests to use the Poincaré group gauge theory to explain Dark Matter, Unidentified Aerial Phenomena and Time Travel.

Dark Matter, Unidentified Aerial Phenomena and Time Travel

While Poincaré  Group Gauge Theory includes torsion naturally, in my opinion it is not the right choice. A better choice would be Conformal Group Gauge Theory. Conformal group contains the Poincaré group as a subgroup. While the discrete mass spectrum of elementary particles  seems to break conformal invariance, electrodynamics is naturally conformally invariant, and it seems to me  that it is light that is at the foundations of all being, a bridge between material and non-material. So this post will take us closer to the very heart of the conformal group, even if it will be only for 1+1-dimensional spacetime that we are playing with in our sandbox here.

The pdf below is an extract from Notes, just the last chapter. The whole document is here, while this is a link to the part shown below. It is just the beginning, In the next part we will go from SO(2,2) to SL(2,R)xSL(2,4), and then we have a look at graphical representation of transformations both in the Minkowski space and in its conformal double compactification 

Monday, December 12, 2022

A Guide to Time Travel

  "However self-possessed and ladylike in all her deportment and general bearing a lady may be, and though capable of undertaking any journey, howsoever long it may be, an escort is at all times much more pleasant, and generally acceptable. When a gentleman undertakes the escort of a lady, he should proceed with her to the depot, or meet her there, a sufficient time before the departure of the train to attend to the checking of her baggage, procure her ticket, and obtain for her an eligible seat in the cars, allowing her to choose such seat as she desires. He will then dispose of her packages and hand-baggage in their proper receptacle, and make her seat and surroundings as agreeable for her as possible, taking a seat near her, or by the side of her if she requests it, and do all he can to make her journey a pleasant one."

"Upon arriving at her destination, he should conduct her to the ladies’ waiting-room or to a carriage, until he has attended to her baggage, which he arranges to have delivered where the lady requests it. He should then escort her to whatever part of the city she is going and deliver her into the hands of her friends before relaxing his care. On the following day he should call upon her to inquire after her health. It is optional with the lady whether the acquaintance shall be prolonged or not after this call. If the lady does not wish to prolong the acquaintance, she can have no right, nor can her friends, to request a similar favor of him at another time."

More very important rules of travel, both for ladies and for gentlemen,  can be found here.

In the meantime I am preparing for my own time travel. I am already on the way to the depot where the time machine is located ready to depart. Yet the road is not an easy one. It is full of dangerous holes, and these need to be filled in. And the proper, for this purpose, filling stuff is knowledge. So in the actual present I am studying CHRONOGEOMETRY. It is made of groups and manifolds with group actions. And so right now I am studying a paper by Alexander Levichev from the Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, Russian Academy of Sciences.  Institute of mathematics . In this last link you will find a much older theoretical paper "Time machine in MTT world". But I am studying now this one:

A Contribution to the DLF-Theory: On Singularities of the SU(2,2)-Action in U(1,1)

Part of that I was already discussing on this blog - though in Polish. Now I will be posting a summary of the main topics - this time in English.


P.S1. Academia.edu supplies me with published works where my name is being mentioned. Today I received information about the following quotation in the Preface to the monograph  "Conformal Groups in Geometry and Spin Structures" by Pierre Anglès, Birkhäuser 2008:

" Arkadiusz Jadczyk came to the study of Clifford algebras after that of many other subjects. He is an innovator for the links between Clifford algebra and quantum jumps."

And, in fact, time travel is possible only through quantum jumps ("Transdimensional Atomic Remolecularization" is the technical term). To which subject I will also return here.

P.S2 Then I will be also studying the newest paper (to appear) by Alexander Levichev and Andrey Palyanov: "The Chronometry’s marriage with the Standard Model and other possible applications of Segal’s Compact Cosmos". Here is the Abstract:

Abstract: The main body of the review is dedicated to the Multi-Level Model (=MLM) which was suggested by A. Levichev as a mathematical description of quarks and gluons. The MLM-terminology is recalled while MLM-findings (for quarks and leptons) are compared to the theoretical and experimental data as accepted by the Standard Model (=SM).  Segal’s Compact  Cosmos (or  space-time) D is a Lie group  U(2) with causal structure determined by an invariant Lorentzian form on the Lie algebra u(2). MLM is based on D and on the sequence of embeddings: U(2) into U(3), U(2) into U(4), etc. These groups were called the levels (of matter):  U(2) - the 0 th  (that is, our mundane world), U(3) - the 1 st , U(4) - the 2 nd , etc. Such a convention matches the SM-quarks' generations list. Each SM-quark is viewed as a sunken proton. The MLM-proton is elementary and indestructible (hence no need for confinement). For MLM-quarks, in terms of the introduced notion of a ruling group, flavor and color are defined mathematically. The number  of colors (and of flavors) is level-dependent. For levels U(3) through U(6) the correspondence with the SM-quarks is established. Three new quarks and two new leptons are predicted. The SM-puzzle of quarks’ and leptons’ generations is solved. Using the Han-Nambu scheme, the notion of quark’s electric charge is expressed in terms of color charges. Certain proton’s properties are suggested to study on the basis of its wave function. Quark matter at different levels is modeled on the basis of the captured proton notion. The non-compact (Heraclitus’) cosmos F, the unique counterpart for D, is naturally built into MLM-levels. On the basis of D (with a future role for F), the Penrose’s  mechanism (of the wave function collapse) is mathematically modified (with one open question remaining).   

Alex asked me today to promote his new paper, so I am doing it now.
P.S3. During my 60 minutes sessions in the hyperbaric chamber usually I am reading Today the following two paragraphs from Jordan Peterson book "12 Rules for Life" (Chapter Rising Up


attracted my attention:

To stand up straight with your shoulders back means building the ark that protects the world from the flood, guiding your people through the desert after they have escaped tyranny, making your way away from comfortable home and country, and speaking the prophetic word to those who ignore the widows and children. It means shouldering the cross that marks the X, the place where you and Being intersect so terribly. It means casting dead, rigid and too tyrannical order back into the chaos in which it was generated; it means withstanding the ensuing uncertainty, and establishing, in consequence, a better, more meaningful and more productive order. So, attend carefully to your posture. Quit drooping and hunching around. Speak your mind. Put your desires forward, as if you had a right to them—at least the same right as others. Walk tall and gaze forthrightly ahead. Dare to be dangerous. Encourage the serotonin to flow plentifully through the neural pathways desperate for its calming influence.

People, including yourself, will start to assume that you are competent and able (or at least they will not immediately conclude the reverse). Emboldened by the positive responses you are now receiving, you will begin to be less anxious. You will then find it easier to pay attention to the subtle social clues that people exchange when they are communicating. Your conversations will flow better, with fewer awkward pauses. This will make you more likely to meet people, interact with them, and impress them. Doing so will not only genuinely increase the probability that good things will happen to you—it will also make those good things feel better when they do happen. 

To which I would stress: when you "speak your mind" do not be taken by surprise when other people speak their minds too! We must defend our territory, but we should not be surprised when we are chased away when we are trespassing too far into the territories of other people. 

And another important piece from the same book:

 If you say no, early in the cycle of oppression, and you mean what you say (which means you state your refusal in no uncertain terms and stand behind it) then the scope for oppression on the part of oppressor will remain properly bounded and limited. The forces of tyranny expand inexorably to fill the space made available for their existence. People who refuse to muster appropriately self-protective territorial responses are laid open to exploitation as much as those who genuinely can’t stand up for their own rights because of a more essential inability or a true imbalance in power.

And do not miss: Jordan Peterson,  Beyond Order: 12 More Rules for Life, Penguin 2021 - Still better!

Biolocation

  On Tuesday, December 23, Vlad Zhigalov (see e.g. here ) had a talk at the " Temporology " seminar hosted at Omsk.  He spoke abo...