Alright Science Lovers and Readers! Grab a free copy of “Quantum Physics, Into the Light” at the link below before I have to cancel the giveaway on Friday at midnight.
https://www.amazon.com/dp/B0BDXLZHNG
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I was reading his previous comments and found this. If this is the one, sounds legit lol
I recommend this book to get a pretty straightforward idea of the strangeness of our perception of time- though it’s an extremely confusing thing for our minds to really understand. https://www.amazon.com/dp/B07638M8JL/ref=KC_GS_GB_US_nodl
You may find the mathematics presented in the God Series of books worthwhile: http://www.amazon.com/The-God-Series-32-book-series/dp/B078NJXRDT?ref=dbs_m_mng_awm_0000_ext
However the books use a pattern that is long form and is attempting to break readers out of their existing thought patterns, which I think you’re already largely seeing beyond. Instead, “what is mathematics - the greatest detective story never told” by the pseudonymous author Dr. Thomas Stark may be a more concise choice.
Or this may not be interesting at all for you. But I think you may be surprised at the true history of mathematics.
Cheers.
It’s powerful stuff. It goes back to the earliest students studying the nature of reality, and follows allegedly an unbroken path of refinement since, it has not sat by and become prone to rumor and misinterpretation like most spiritual traditions. Unfortunately it is highly intellectual and well beyond the average seeker who just wants something fun to play with or to make their life incrementally better, so it hasn’t gotten much traction. I am surprised I can’t find hardly any references to it in the largest chat board in the world, maybe I am looking in the wrong places, or maybe reddit just reflects the world at large.
I specified the name of the series and the author but if it helps to have a specific link - fewer steps, I know I know, imagine 32 starter books and over a hundred more and one can imagine why this is not popular - here: * https://www.amazon.com/The-God-Series-32-book-series/dp/B078NJXRDT/ref=nodl_
There have been many developments since, but it makes sense to start with the original source material.
You're just a couple hundred years out of date on your physics. Neither freefall nor orbit (orbit being freefall) are accelerated frames of reference in relativity. They're only accelerated frames of reference if you ignore spacetime in favor of space.
But seriously, try this: https://www.amazon.com/dp/B004P1JDYY/ref=dp-kindle-redirect It's really readable about how relativity works by one of the greatest physics minds of the century, with math no worse than Pythagorean theorem.
A dimension is something where the measure is independent of other measures. One thing is orthogonal to another if its measure is independent. So temperature is a dimension, time is a dimension, width is a dimension, friendliness is a dimension, etc.
What you want to look at is vectors. A vector isn't just a series of numbers. It's a series of numbers that has certain properties independent of its frame of reference. If you draw a line segment on graph paper, that's a vector, in that it has the same length regardless of at what angle you draw the squares on the graph paper. x^2 + y^2 and all that. It implies there's something real about the vector independent of the numbers being used to describe it.
Similarly, if you have a typical office desk that's five feet wide and three feet high and four feet deep, it's going to be the same shape regardless of what direction you look at it from.
It's also going to last the same length of time, regardless of what direction you look at it from.
Time is related to the other three spatial dimensions. When you turn your head, width becomes height, and height becomes width. When you move fast enough, forward becomes future and future becomes left, or some such.
Give this a go for a start: https://www.amazon.com/dp/B004P1JDYY/ref=dp-kindle-redirect
As an aside, here's a discussion of what happens when time flows in the same direction as space: http://www.gregegan.net/ORTHOGONAL/00/PM.html
Flat means not curved. I.e., euclidean. A map is flat. A globe isn't. Since it doesn't curve, it doesn't come back upon itself. There isn't enough stuff in the universe to cause everything to get attracted back to itself, when you count in the repulsive force of "negative energy" (aka "dark energy").
Try this one: https://www.amazon.com/dp/B004P1JDYY/ref=dp-kindle-redirect
Cool time travel book by James Gleik. This is his weakest book so far, but he could write about sock fuzz and I would still run out to buy it. He's that good.
A much better explanation that has almost no math:
https://smile.amazon.com/Six-Not-So-Easy-Pieces-Relativity-Space-Time-ebook/dp/B004P1JDYY/ref=sr_1_1
Object don't roll together because the lycra is lower at one point than the other, but because the lycra is stretched. I.e., a non-stretchy thing (like twine) taped to the lycra before you put the weight there will be too short.
For textbooks, you would need to be more specific on what topics you are interested in.
As for books you could find in Barnes & Noble (or similar stores), try The Math Book. It has short blurbs on a lot of really important mathematical ideas in chronological order. Also, the series "A Very Short Introduction to..." is really good.
EDIT: Also, this
For those who are interested in this kind of thing, Hans Reichenbach's book The Philosophy of Space and Time covers this subject very thoroughly. At $4, it's a steal!