Levels of Measurement. Why did I not know about these?
Time is measured on a Ratio Scale because it has an absolute zero.
I found this out looking up “what variables are both continuous and discrete?” and found out that the Ratio Scale can be used both with discrete and continuous calculations, all mixed together if you like, so long as it’s correct. Having a true zero makes it possible.
So that would mean: an EVENT can be the ABSOLUTE ZERO of Time on a Ratio Scale.
Back to the thought earlier:
Wait! Time is two dimensional! It is both continuous and discrete. An event makes a 90 degree turn without affecting the continuity of time.
Time’s continuity rests upon other factors such as gravity.
This Ratio Scale fits once the right-hand turn is made. The even intervals may not be so even under the influence of gravity or other features which I’ll look at next.
So: Gravity and Velocity affects the use of Ratio Scale for Time (which requires evenly spaced intervals). What else?
“Daily time dilation over circular orbit height split into its components”
“Depicts the time dilation as a function of orbital height relative to a stationary observer on earth. It is common to consider the total dilation as being due to two distinct effects: Kinematic time dilation (customarily referred to as the Special Relativity effect) accounts for slowed time in orbit (relative to the observer on earth) depending on the orbital velocity associated to a specific orbital height. Gravitational time dilation (customarily referred to as the General Relativity effect) accounts for accelerated time (relative to the observer on earth) due to the distance to the earths gravitational center. Although these sources of time dilation are regularly referred to as “SR time dilation” and “GR time dilation”, this usage is incorrect, because general relativity accounts for both effects. The point for “GPS” has been firmly confirmed by decades of measurement, both by satellites of the the U.S. Global Positioning System, as well by the satellites of the Russian GLONASS and European Galileo systems in similar orbits. Geosynchronous time dilation has been firmly confirmed by the Chinese Beidou and the Indian Regional Satellite Systems, which use geostationary satellites to improve accuracy above their respective countries. Also included is the measurement at peak altitude of the 1976 Gravity Probe A experiment, which measured time dilation effects throughout most of its nearly vertical trajectory. Time dilation for the ISS (which has orbited at various altitudes, hence the elongated mark) has not yet been confirmed by actual measurement, but this should change with the launching of the Atomic Clock Ensemble in Space mission in 2020.”
Ok, so Gen+Spec Rel each dilate time. Still, that doesn’t prevent ratio scales from working, I don’t think. I’ll have to look at how ratio scales function in a relativistic environment.
So: I’m at:
a) Time is two-dimensional, both continuous and discrete.
b) continuous and discrete measurements can be used for Time because Time falls on a Ratio Scale, which has a true zero or absolute zero.
c) That means that an Event can be Absolute Zero on a Ratio Scale.
d) But interestingly, a modest Excel Spreadsheet can SORT the ratio scale adding another dimension turning the ratio scale into an ordinal scale (Ranking) (the row and column)
e) Back to Ratio Scale: It depends on equal measurements to work. But special and general relativity do time dilation – gravity and kinematic time dilation, making the equal spacing for ratios tricky or impossible.
f) That’s where more sophisticated scales are needed and used but I will let others do those.
Well, if time is continuous (drawn horizontal) if you stop it to mark a change, you go vertical to mark the time and describe the event.
The distinction I’m making between continuous and discrete (which might be wrong) is the notion that: time is continuous but events create discretes which go in the orthogonal direction.
There’s actually a connection yes that I didn’t get to yet as I need to double check a few things: But fractal time is a thing – that would be time along the complex plane, which I think time also operates in. That gives you the space for action at smaller scales that might not affect you directly or notiably right away at the scales you’re in.
https://en.wikipedia.org/wiki/List_of_fractals_by_Hausdorff_dimension I’ll probably have to look up existing research before I go off assuming things with fractal time – hoping this will inspire before I do.
Possibly. Yes, I think so. Finer resolution would correspond to faster, coarse resolution to slower, yes.
I’ll make it back to reality. RIght now I’m looking at human analysis techniques to find which ones match up with what I think is reality, and then I’ll look closer to reality.
This thing I’m looking at made me smile: I love this use of trace for viewing TWO different upper and lower bounds at once. I love a good range.
It’s like carving a tunnel out of rock across time.
Now that I looked at the fractal time series, it only applies to a frozen set of historic data.
But what your’e talking about is what I’m more interested in: The greater space available at smaller scales. Interestingly, if a scale is LARGE enough, the smaller scale won’t even NOTICE even large movements of the large scale.
Witness: Us on earth. Earth in Galaxy.
Right now I’m working on confirming that a notion of 2 dimensional time is valid — I think it is because that’s how we use time and don’t even pay any attention to that. Stephen Hawking believes there’s imaginary time, which is another kind of having two dimensions of time, one real one imaginary.
Like for me, the measuring of time changes “something” and it shows in how we talk about time differently depending on whether it is events or “time as a stream”, and I think forcing time into a single line putting the two notions together has confused rather than enlightened people.
But contrast it to sheet music.
Sheet music staff is continuous time. Each note is an event upon that continuous time, “onsets”, which point to a break in continuous time and yet continuous time continues even as the break does what it does (the note plays).
objects are slow events
events are transient objects