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数学

Discovery

Andrius Kulikauskas

  • ms@ms.lt
  • +370 607 27 665
  • My work is in the Public Domain for all to share freely.

Lietuvių kalba

Introduction E9F5FC

Understandable FFFFFF

Questions FFFFC0

Notes EEEEEE

Software


Collect and develop ideas about physics.



  • Collect and organize the ways of figuring things out in physics.

Symmetry breaking

  • Collect examples of symmetry breaking.
  • Relate symmetry breaking to the naming of the two roots of i.

Time

  • A moving point is a line, a moving line is a plane, a moving plane is a volume... Time is the addition of a scalar (from a field), thus the addition of choice. Time relates affine and projective space. Compare time with space. A moving "center" is a point: the center is what moves, thus what has time.
  • Moving backwards and forwards in time - is a (wasteful) duality. Why is it dual?

Entropy

  • Think in terms of "common" and "uncommon" states. Uncommon states tend to common states simply because they are more frequent. But nature has forces (like gravity) that tend to create uncommon states. So we need to distinguish between the different forces at play and how they relate to what is common and uncommon.

Least action

  • Path of least action (the basis for physics, namely, for Feynman diagrams) is violated by measurements, where we can wait and nothing happens.
  • Is many-worlds theory the flip-side of least-action ?

Measurement

  • When we measure spin - we impose the spin axis we are expecting - but that is an imposition of expectations related to the "waiting" that I am modeling. Also, how is that waiting related to emotional life and expectations? Comparing measurements yields "information" and it may be information which is limited by the speed of time.
  • Measurement (crucial in physics) can be defined in terms of covectors, as being dual to vectors. Covectors can be thought to point in the same direction as vectors - they are complements of each other with regard to the inner product. This duality is thus fundamental to the concept of measurement.
  • The vector and the covector divide a scalar field into its local variation (given by the vector) and its global scaling (given by the covector) which together give the value of the scalar. Thus vector and covector define the duality of local and global extremes which come together as the scalar field.
  • Idea: You can measure something super exactly but then you don't know what you've measured. And that may be why all electrons are the same electron, indistinguishable.

Coordinates

  • Entanglement - particle and anti-particle are in the same place and time - and they have the same clock and coordinates

Momentum can be attributed to an individual particle (as its change) but it can also be attributed to the entire system (as its change). And also, changing the momentum of a particular particle can change when (and whether) we will come to a particular state of the system. In particular, the particles are interconnected and so that makes for a complicated relation between the time evolution of each particle (in terms of its position) and the time evolution of the system. This can be compared to a computer program which may change the order of its instructions.

A field is relationship between all of space and all of time.

Discreteness and continuity

  • Quantum mechanics: energy is not continuous but discrete. Noncontinuity suggests jolts - what is needed for causality. Particle and wave descriptions are necessary to relate continuity and discreteness for causality.
  • The Schroedinger equation has continuity. Discreteness enters in with the act of measurement, with the collapse of the wave function, with the breaking of symmetry between observer and observed.

Energy is the amount of freedom available to do something independently different.

If calculus (and analysis) is based on the ability to have minor deviations, then the ability to have such deviations is fundamental. And the insistence on that ability, the preservation of that freedom, is the basis for all quantum effects.

N.Mukunda: {$QM=e^{iCM}$} relation between quantum mechanics and classical mechanics. But how is this exponential related to the other exponential relating Lie groups and Lie algebras?

The four dimensions of space-time relate to the four choice-frameworks. And perhaps time is the internal choice. And consider six pairs among the four.

The infinite possibilities that emanate with Feynmann diagrams are like an independent thinker's myriad relationships with themselves including through others, as in the science of prayer.

Susidomėti Pinchos Fridberg fizikos darbais.

Gravity

  • In time, fermions (particles with mass) grow more specified in terms of their location with respect to each other. This equals a shrinking of space. And perhaps this shrinking of space is balanced by the expansion of the universe (and what does that expansion mean?)

Physics


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Puslapis paskutinį kartą pakeistas 2019 balandžio 28 d., 14:35
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