Hi professor.
I am seeking resources or thoughts on the following; I do not suspect that there will be answers readily available (of course if there are that would be more than awesome):
I was discussing physics the other day and came upon some ideas that I don’t fully understand but that I find interesting. Perhaps you have some thoughts on this or can point me towards resources relevant to the following:
I was thinking about gyroscopes versus vibration sensors.
Gyroscopes can measure all of the dimensional degrees of freedom of what we know as ‘space’.
When you pair a gyroscope with a clock then you can measure all of the dimensions that we typically see that we perceive; time + space.
Now we enter Flatland and consider the difference between vibration sensors and gyroscopes and ask:
vibration sensor + clock:gyroscope + clock :: gyroscope + clock:???
If we ask this question, we are asking about other dimensions that our gyroscopes do not have access to.
These do not have to be ‘higher’ dimensions or ‘lower’ dimensions, it also seems reasonable that they could be ‘lateral’ dimensions. Or it could be that there are all of ‘higher’, ‘lower’ and ‘lateral’ dimensions at all or some of any of the levels of this dimensional ‘stacking’.
Before asking about higher and lower dimensions I ask about lateral dimensions, and specifically ‘lateral’ dimensions of time.
The time-dimension we perceive is quite different from the spatial-dimensions we perceive in that it seems to only have one degree of freedom versus the three of space.
Perhaps this difference is due to a characteristic of the properties that our spatial dimensions have within (/ or in interaction with) the full breadth of the dimensions of space.
Perhaps our spatial dimensions are traveling through a hyperspace of time and the particular energy, trajectory, and angular momentum (+ other properties?) of our spatial dimensions leads us to perceive time the way that we do.
But if our spatial dimensions were to have different properties perhaps we would be traveling along a different vector within timespace and would thus experience time differently.
This of course opens many other questions about gravity and friction in timespace, and the hyperspace within which timespace exists, and about whether there is any form of dimensionally-neutral distance between a point in timespace and a point in spacetime or even a point in any type of space and a point in any other different type of space.
But before asking these questions we should ask if what we perceive as ‘forward’ time is simply an emergent property of the true type of dimensional space that our perceivable space dimensions are traveling through.
Perhaps we are not traveling through timespace at all.
To explore this I thought about what going ‘upwards’ in timespace might mean.
Forwards in time ‘makes sense’ because it coheres with our comfortable conceptualization of causality.
We can imagine ‘Backwards’ in time because we can remember our past, but it challenges our understanding of causality.
Upwards in time or Downwards in time however seem to have very little relationship to our understanding of causality.
It could be then that Causality is the dimension in which we are traveling.
Or it could be that Causality is the dimension in which timespace itself is traveling.
Or it could be that Causality is simply one section/property of yet another ‘more basic’ type of space that we are traveling through (Energy space?).
And now my questions:
• What is the current thinking/resources on multi-dimensional time?
• What do we know about the number of dimensional degrees of freedom of Causality space?
• How might we determine the number of dimensional degrees of freedom of Causality space?
• What would it mean for Causality space to be within Energy space?
• Is Energy space the same as ‘Existence’ space?
• What is the shape of Existence space? (Is it clopen?)
If Causality space is one dimensional then it would seem that there would only be two dimensions of timespace and we wouldn’t have to worry about Upwards or Downwards in space.
If Causality space were ‘zero’ dimensional, then it would seem reasonable to say that there is only one dimension of timespace.
But if Causality space is zero dimensional, does that mean that it does not exist?
Is there a difference between a zero-dimensional object and nothing?
Is there a difference between being zero-dimensional and lacking dimensionality?
And, is there a requirement to have dimensionality in order to exist?
Instead of being zero-dimensional, could something be non-dimensional.
And if something is non-dimensional what does that say about the nature of its interactions with dimensionally-bound entities?
Thanks for any thinking on this.
- Ethan