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It may sound crazy but, in this 3D world there is nothing 2D, other then our shadow. Is it good to say that the shadow of 3D object is 2D, then shadow of 2D object would be 1D. Hence this 3D universe is shadow of 4D world?

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  • Place yourself between the sun and an object that is not totally flat, say a cylinder. You will see that your shadow is not in 2D, but can be a 3D surface: you can trace a line linking two points of your shadow, that does not touch any third point. – armand Mar 6 '20 at 9:22
  • I didn't get your reasoning. I put moon between sun and earth and the shadow of the moon i am getting is still 2D i don't understand how it can be a 3D surface shadow has no thickness how it can be a 3D surface? @armand no matter how shadow bends it will be 2D correct me if i am wrong. – Raman Mishra Mar 6 '20 at 9:27
  • Furthermore, the shadow of a 2d object is not necessary 1d. If you hold a piece of paper (an approximately 2d flat object) perpendicular to the rays of the sun, its shadow will be 2d. – armand Mar 6 '20 at 9:35
  • see that's the problem the piece of paper is approximately 2d not actually 2D that's what i said the true 2D thing in this 3D world is only the shadow or a 3D object – Raman Mishra Mar 6 '20 at 9:38
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    the thickness of the paper is not the problem here. 2d surfaces projected perpendicular to themselves produce a 2d image. Unless projected on a line, but then, anything projected on a line results in a 1 dimensional segment anyway. I also have to stress the point that 2d figures with 0 thickness, cast no shadow... – armand Mar 6 '20 at 9:43
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Depending on what you think a shadow is, probably not.

If you think a shadow is a boundary, then no. The boundary of a boundary is null. It's not one dimension less, it's the empty set.

https://jeffycyang.github.io/the-boundary-of-a-boundary-is-null/index.html

If you think a shadow is a projection, then also no. Projections have the property that if you perform the projection again, then you get back the original projection. That is, if P is the projection operator, then P * P = P. Or, to take a specific example: If your chair is 45 cm in the "x" direction, then length of the "x direction" of your chair is also 45 cm.

https://en.wikipedia.org/wiki/Projection_(linear_algebra)

The only possible way it could make sense is as a cross section. The intersection of a cone with a plane is circle, ellipse, parabola, or hyperbola. If you "fill in" this figure you get a segment of a plane. Then the intersection of this with a line is a line segment.

https://en.wikipedia.org/wiki/Cross_section_(geometry)

The problem with that is, it presumes there is already a plane to intersect the cone. You need to define both the plane and the cone apart from their intersection.

So, supposing there is a 4D universe that we are a cross section of is, so far, not helpful. You need to define this 3D universe, and the 4D universe, both independently. And once that is done you need to define the intersection that gives the cross section. And, so far, you have done none of that.

So, no, what you are saying isn't helpful.

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Even now, when you assert that this is 3D world, you are ignoring 'Time'. In other words, we are observing this world 'from' a 'time-based' world. The fact is that we can't even assert that this is 3D world. Time plays tricks on us like a magician.

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  • ok so if this is not 3D universe then what it is? and are you the downvoter? And out universe in on space time plan right so there will be time in other universes but that doesn't answer my question but thanks for pointing out Time. As far as i understand about time is just a concept it has something to do with universe but not sure with dimensions – Raman Mishra Mar 6 '20 at 15:14
  • No, I give down-votes very very rarely. How could I explain about another dimension standing on a time-based world? – SonOfThought Mar 6 '20 at 15:26
  • Imagination may be i don't know you can tell me something nobody knows think there is no time i don't know i just thought that and asked a question and it might be a silly one. – Raman Mishra Mar 6 '20 at 15:29
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The Universe cannot be regarded as 3D as it is factually wrong. To imply that a time slice now is like a picture in 3D is equivalent to saying that there time is experienced in between quantum jumps of planck time ticks. Makes absolutely no sense, because time isn't a concept at the planck scale. After planck time, the Universe changes quantum states. That's about it. Time at higher levels is emergent from this activity of change of quantum states in planck time. Between two states, there is no now. This misconception, if abolished, clears the air and we now see that what you call now, is not there. There is no "planck frame" which is like frozen in time.

The idea is persistent because of the block universe model. In that model it is supposed that for an observer, the block universe is like a loaf of bread, but this bread, isn't cuboidal. Rather it progressively skews as you'd like to make a slice of "now". This is because there is no universal now that all observers agree to. So a distant universe, will not agree on the simultaneity of events, and subsequently, of "now". Hence you are left with your unique perspective.

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