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Antonio Lao
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If space is restricted to just one dimension, can this 1-dim space together with the 1-dim time be subjected to a process of quantization?
How can any kind of information travel from one region of space to another through gaps in space that represent no medium at all. It cannot. Therefore, space is connected and continuous.Antonio Lao said:If space is restricted to just one dimension, can this 1-dim space together with the 1-dim time be subjected to a process of quantization?
mike2 said:How can any kind of information travel from one region of space...
AKG said:Why would space be restricted to one dimension? And no, I don't think it can be quantized. The Planck Length refers to something like the smallest space you can contain a particle in, any smaller and it would explode or something. I suppose you should look this up, because I obviously don't know too much with regards to this. Planck Time is said to be the smallest unit of meaningful time, I don't know if this means that half a Planck Time cannot exist though.
In 1900, Max Planck was working on the problem of how the radiation an object emits is related to its temperature. He came up with a formula that agreed very closely with experimental data, but the formula only made sense if he assumed that the energy of a vibrating molecule was quantized - in other words, it could only take on certain values. The energy would have to be proportional to the frequency of vibration, and it seemed to come in little "chunks" of the frequency multiplied by a certain constant - Planck's constant.
kurious said:As the gravitational force between galaxies weakens with expansion of the universe,...
What is this silliness of quantizing space-time? Quantization is acheived through the eigenvalues of a differential equation of continuous variables. So there must be some background of continuous variables.AWolf said:One of the many quantum theories - Loop Quantum Gravity - refers to Space as being granular, the size being based on Planck's Constant.
Mike2 said:What is this silliness of quantizing space-time? Quantization is acheived through the eigenvalues of a differential equation of continuous variables. So there must be some background of continuous variables.
Antonio Lao said:This is the missing dimension (background dimension) discovered by M-theory.
Using the concept of set, the continuous background of the universe is the null set.
AWolf said:The background only becomes the background when there is a foreground, so it cannot be viewed in isolation, or as a NULL.
Blackforest said:A real physical quantization of the space would mean that this space would be built with small separate balls that a good microscope could identify...
Blackforest said:...the new configurations (the evolutive geometry after the chek-point)...
Blackforest said:Is the necessity of this choice not hurting a basic principe of the Relativity?
AWolf said:If you are implying that the quantization of space would effect Relativity - why should it ?
If you took a 1 metre rule from Earth and put it into orbit close to a BlackHole, it would still be a 1 metre rule, even though it would now be subjected to a larger graviational field. Close to the BlackHole, the rule will be compressed, but since everything in its proximatey would be compressed as well, it would still be 1 metre in length.
The amount of quantized space between the two ends of the metre rule would remain constant.
Even though the size of a single quantum of space would vary dependant on its location, it would always be constant when measured locally.
Blackforest said:...but I have some difficulty to believe that it can be continous...
Blackforest said:And now how define a continuous motion in this quantified space?
2nd Law of Thermodynamics.
Energy spontaneously tends to flow only from being concentrated in one place to becoming diffused or dispersed and spread out.
Spacetime is a concept in physics that combines the three dimensions of space (length, width, and height) with the dimension of time. It is often represented as a four-dimensional continuum, with the three dimensions of space and the dimension of time being interchangeable.
To quantize spacetime means to break it down into discrete units or packets of energy, as opposed to it being continuous. This concept is based on the theory of quantum mechanics, which suggests that energy and matter exist in discrete, indivisible units.
The debate about whether spacetime can be quantized or not is due to the fact that it has not yet been proven or disproven by scientific experiments or observations. Some theories, such as string theory, suggest that spacetime is quantized, while other theories, such as general relativity, suggest that it is continuous.
If spacetime is found to be quantized, it would have significant implications for our understanding of the universe. It could help us better understand the fundamental laws of physics, such as gravity, and potentially lead to a unified theory that explains all the forces in the universe.
Scientists study the concept of quantized spacetime through various experiments and observations, such as examining the behavior of particles at the smallest levels or studying the cosmic microwave background radiation. They also use mathematical models and simulations to explore the potential implications of a quantized spacetime on the universe.