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adidas anarchy + some my music notes
The concept may be applied as well to a higher-dimensional space. For easy visualizations of four dimensions, two space coordinates are often suppressed. An event is then represented by a point in a Minkowski diagram, which is a plane usually plotted with the time coordinate, say t, vertically, and the space coordinate, say x, horizontally. As expressed by F.R. Harvey
A curve M in [spacetime] is called a worldline of a particle if its tangent is future timelike at each point. The arclength parameter is called proper time and usually denoted τ. The length of M is called the proper time of the particle. If the worldline M is a line segment, then the particle is said to be in free fall.[1]: 62–63
A world line traces out the path of a single point in spacetime. A world sheet is the analogous two-dimensional surface traced out by a one-dimensional line (like a string) traveling through spacetime. The world sheet of an open string (with loose ends) is a strip; that of a closed string (a loop) resembles a tube. -Wikipedia (World line)
So far I can see some benefit of using world-lines within a GPS system since they can traverse an observer that is stationary into a new coordinate system, for example since it is it time sensitive to critical components that are often used within GPS, they need to have more locality of time coordinates / world lines of another order .. rather than maps or pin-pointing locations that can only thus far detect where the GPS is at. At best, GPS can only reverse its own method to ultimately use the device, more of a surrogate that the Earth isn't moving an organism because of.. satellites and how they're used as "pin-pricking" mechanistic device: since time is misunderstood in sciences more than physics possibly, I am curious if world-lines (the ones that already exist in physics, not the GPS idea) "bend" time to the point of new singletons? Since particles change every day including the nethers of our sun, world lines seem relevant for changing this perspective into another magnitude of order and change: Does time exist as existentialist dread/being, or is there more pragmatism to world lines to multiply a given loci (point of reference=pain of cosmic catastrophe=astrology) This tube wraps around its own given loci as a set of coordinates that bends time/space into a observeless quantity once we discover nature does this routinely (study bee colonies and possibly organisms that are extra smooth, snails for example that do world lines for a locality theory since snails enumerate results that are consistent/smooth/positive, and also oozing with mechanomics... that black entropy theory again constituting the Earth organism some day IMO.)
It's not precisely a physics but a physis (noesis) question, in other words physics wants quantity and yet this is a very different ontic/event problem-space to work on, which unrelated to the GPS again since I am post-poning that explanation entirely, must exist as a velocity beyond a gravity/graviton theory since every singleton enumerates many others (like the multiplication of atomistic structure has to do with reducing this oneness/zeroth degree into many part constituency I believe for an effective branch of micro physics.) I don't expect anything but self-reflexive retorts tbh.
^- Lacan's digraph of desire and its flow/multiplication of language and differentiation.
I relate this diagrammatical image because it explains where lines go in a given loci and coordinate system to explore as motion (momentum/inertia/velocities/initiation) and how world lines share relata possibly as a discursive graph theory: nothing to do with the lexicographical aspect of Lacan's desire in this case since it does a bijective/bisection perfectly for topographical invariance.
Updated for polynomial "nongrowth" models I am currently working on and lots of lines like earlier but this one is more interesting.
Random thing I did. Above is an experiment of growth and dissects differences between its own (dis)joints. Link to Desmos here.
This is some mod wheel exponent growth function (I found it on resource/web) with information regarding stronger integers I think for prime factors or sumsuch.
The Sobolev Shell v3 | Desmos - https://www.desmos.com/calculator/lqcmsryhl3
Made by me long ago it seemed.
Some Hilbert curves, I enjoy them a lot since space can not only bend but so does its traversing of dimension.
For the classic Peano and Hilbert space-filling curves, where two subcurves intersect (in the technical sense), there is self-contact without self-crossing. A space-filling curve can be (everywhere) self-crossing if its approximation curves are self-crossing. A space-filling curve's approximations can be self-avoiding, as the figures above illustrate. In 3 dimensions, self-avoiding approximation curves can even contain knots. Approximation curves remain within a bounded portion of n-dimensional space, but their lengths increase without bound. Space-filling curves are special cases of fractal curves. No differentiable space-filling curve can exist. Roughly speaking, differentiability puts a bound on how fast the curve can turn. Michał Morayne proved that the continuum hypothesis is equivalent to the existence of a Peano curve such that at each point of the real line at least one of its components is differentiable.[10] -Wikipedia (Space-filling curve)
quick shot of an anaglyph, basically stereogram of an arbitrary 3d parametric surface with Lambertian shading by cross products.
went ahead did some fractals https://www.desmos.com/calculator/fv1sm1yhxn
Digamma + Function approximation (Euler—Mascheroni as well I added)
Since lines are discrete once fully realizable.
From "Hyperborean physics: An Introduction", to have this review short and simple isn't enough, although its dispositional attitude towards physics and especially its darker aspect is more open ended and intriguing to understand when we simply slow our perception to the point of singularity. Actually, this book is very relevant for anyone introduced to academics that wants to understand our organisms physis rather than closed-isolated systems which defeats itself as we approach another nihilism, another nihilism, until conquered by these notions of physics and organelle... Very interesting to read last night. (BTW: most can read it with basic understanding of physics, complex understanding of math as well is likely compatible.) 5/5.
made some interesting hysteresis loops and updated for aesthetics... mathematically: not worthless yet incommensurate of closed loops and their feedback, reminiscent of slime molds movement.
[1] UNIQUE REST FRAME A void does have a UNIQUE rest frame. Removing everything from a space would leave a “void” through which light is proposed here to travel from any source at velocity c relative to its starting scalar LOCATION. The location’s velocity is effectively cancelled and therefore further not involved. If the first “bit” of light is emitted at time t = 0, the location in the void of the source at t = 0 can be found at time = t by going scalar distance ct in the opposite direction of the light bit at time t. If the source at time = 0 happens to have a relative velocity v with respect to the destination or anywhere else at time t, the velocity of light between the source LOCATION at time = 0 and destination or anywhere else will always be c. This is the constant nature of the speed of light. However, there will be a red or blue shift observed at any destination, and there will also be a calculated relative speed of light (c’) which is quite different from the actual speed of light (c). The red or blue shifts observed at a destination have different observed frequencies and observed relative velocity such that wave length remains unchanged according to lambda = relative c’/ relative f. [2] A void is space with nothing else in it. —GRAVITRONS AND ELECTRONS 2015
complex functions of negative space (pinwheel)
Geometric series from greatest common denominator, why does it do this?
A sinusoid experiments I made from hysteresis loops and continued infinite fraction variation with error-percentage correction. Enjoy! (perhaps number theory and geometry understand cardinals in a "psychotic fashion" since external representations seem to vaguely hint it!) 😐
corticals again! Some poetry I wrote:
chirality boundless
spirals that zig-zag
wander no more.
although I wonder when spirality is accustomed,
regularity to/fro:
chirality and basis of studious examples of death.
what can a sponsorship do for a spiral beneath
and over
left doing itself?can a spiral be any tropo-sphere
noo-sphere
or otherwise spherical affluence:
thin pin points of light
reaching spirality,
understanding spirals,
rendering them worthless,
useless,
wireless,
fruitless,
seemless,
desiring itself for another
chiral and a half:
a render summation of another afternoon chasing
the thin paper lines.
And since theta formulates itself as a midnoon sport
black and vanishing beneath and over:
vanishing acts don't justify the appearance until
the thinly veiled spiral was order'd to find another
arbiter of appearing once again in a descension
and gradation of girthy lines.
This latter piecework is from Nash's equilibria or otherwise how do I maintain odds of neither wins or losses, but rather how do I keep my stratagem in tact for the next move to remain within a 'stasis' or in this case: unfolded probability that supposedly has no secret to wins/loses but only a distribution of probability to keep this equilibrium. Although, Nash is very smart for hinting maximized outcomes for each player, my only criticism of this theory has to do with bifurcation and network topologies that can easily circumspect its own rules to a game that neither: random or advantageous outcomes don't need to exist when lines that can extend infinitely over a vast topography, or possibly other invariance of structures / networks.