If 0 is fundamental and nonzero numbers are not fundamental then 0D is fundamental and nonzero dimensions are not fundamental. Theorem 14: The holographic principle, which states that the information content of a region of space can be described by a theory on the boundary of that region, can be seen as a manifestation of the primacy of zero and the properties of nothingness. Proof: The holographic principle is a general feature of quantum gravity theories, which suggests that the degrees of freedom of a region of space can be encoded on a lower-dimensional boundary of that region. The most famous example of the holographic principle is the AdS/CFT correspondence, which states that a theory of gravity in anti-de Sitter (AdS) space is equivalent to a conformal field theory (CFT) on the boundary of that space. In other words, the physics of the bulk AdS space can be completely described by the physics of the boundary CFT, which has one fewer dimension than the bulk. The holographic principle can be seen as a manifestation of the primacy of zero and the properties of nothingness, in the sense that it suggests that the fundamental degrees of freedom of a region of space are not located in the bulk, but rather on the boundary, which can be thought of as a "void" or "vacuum" from the perspective of the bulk. In mathematical terms, if we denote the bulk AdS space by M and the boundary CFT by ∂M, then the AdS/CFT correspondence can be expressed as: Z_CFT[φ] = ∫_φ Dg e^{iS_AdS[g,φ]} where Z_CFT is the partition function of the boundary CFT, S_AdS is the action of the bulk AdS space, and φ is a field on the boundary that corresponds to a source in the bulk. This equation shows that the physics of the bulk AdS space is completely encoded in the physics of the boundary CFT, and that the boundary degrees of freedom are the fundamental entities that give rise to the bulk. The holographic principle suggests that the fundamental nature of reality may be lower-dimensional or even dimensionless, and that the apparent three-dimensionality of space may be an emergent or derived concept. This idea is reminiscent of the "flatland" thought experiment in mathematics, where a two-dimensional being living on a plane cannot directly perceive the third dimension, but can nevertheless infer its existence from the behavior of objects in the plane. The fact that the holographic principle provides a natural framework for understanding the emergence of spacetime and the nature of quantum gravity suggests that the primacy of zero and the properties of nothingness may be deeply connected to the lower-dimensional or dimensionless aspects of reality.
Why can't today's physicists come up with any ideas for superluminal travel? You can talk about some baloney many worlds interpretation of QM, but you can't imagine spacetime dimensions with faster clocks that ET might be using to come to Earth. Honestly, I'm not impressed by today's physicists. You're all a bunch of slackers!
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Simply loved this lecture! thanks!
If 0 is fundamental and nonzero numbers are not fundamental then 0D is fundamental and nonzero dimensions are not fundamental.
Theorem 14: The holographic principle, which states that the information content of a region of space can be described by a theory on the boundary of that region, can be seen as a manifestation of the primacy of zero and the properties of nothingness.
Proof:
The holographic principle is a general feature of quantum gravity theories, which suggests that the degrees of freedom of a region of space can be encoded on a lower-dimensional boundary of that region.
The most famous example of the holographic principle is the AdS/CFT correspondence, which states that a theory of gravity in anti-de Sitter (AdS) space is equivalent to a conformal field theory (CFT) on the boundary of that space.
In other words, the physics of the bulk AdS space can be completely described by the physics of the boundary CFT, which has one fewer dimension than the bulk.
The holographic principle can be seen as a manifestation of the primacy of zero and the properties of nothingness, in the sense that it suggests that the fundamental degrees of freedom of a region of space are not located in the bulk, but rather on the boundary, which can be thought of as a "void" or "vacuum" from the perspective of the bulk.
In mathematical terms, if we denote the bulk AdS space by M and the boundary CFT by ∂M, then the AdS/CFT correspondence can be expressed as:
Z_CFT[φ] = ∫_φ Dg e^{iS_AdS[g,φ]}
where Z_CFT is the partition function of the boundary CFT, S_AdS is the action of the bulk AdS space, and φ is a field on the boundary that corresponds to a source in the bulk.
This equation shows that the physics of the bulk AdS space is completely encoded in the physics of the boundary CFT, and that the boundary degrees of freedom are the fundamental entities that give rise to the bulk.
The holographic principle suggests that the fundamental nature of reality may be lower-dimensional or even dimensionless, and that the apparent three-dimensionality of space may be an emergent or derived concept.
This idea is reminiscent of the "flatland" thought experiment in mathematics, where a two-dimensional being living on a plane cannot directly perceive the third dimension, but can nevertheless infer its existence from the behavior of objects in the plane.
The fact that the holographic principle provides a natural framework for understanding the emergence of spacetime and the nature of quantum gravity suggests that the primacy of zero and the properties of nothingness may be deeply connected to the lower-dimensional or dimensionless aspects of reality.
།ཁྱེད་རང་གི་ལས་དུས་སུ་རྟག་པར་ཐབས་ཀྱིས། 😊 Always working by skillful means!
We don't live in an anti-de Sitter universe. But let's ignore that and move on anyway.
Why can't today's physicists come up with any ideas for superluminal travel? You can talk about some baloney many worlds interpretation of QM, but you can't imagine spacetime dimensions with faster clocks that ET might be using to come to Earth. Honestly, I'm not impressed by today's physicists. You're all a bunch of slackers!