Continues FACTOR PROPORTION GEOMETRY Matrix theory of ANTI DE SITTIER SPACE IS BEAUTIFUL is ANTI DE SITTER SPACE continuous RATIO proportional SAME AT ALL SCALES. MANDELBROT SET.
appears to be incorrect...why?...because ...in a hyperbolic conformal geometry the area of a triangle or square decreases with increasing radius as the square approaches the AdS boundary edge In hyperbolic conformal geometry, the area of shapes like triangles or squares indeed decreases as you approach the boundary of AdS space. This is due to the unique properties of hyperbolic space, where distances and areas behave differently compared to Euclidean space. In AdS space, the metric causes lengths and areas to shrink as you move towards the boundary. This shrinking effect is a result of the negative curvature of AdS space, which distorts the geometry in such a way that the boundary appears infinitely far away in a finite coordinate system. Consequently, the area of any shape decreases as it gets closer to the boundary. This geometric property is inconsistent with the behavior of clocks running faster near the boundary. The decreasing area and the faster passage of time are both manifestations of the same underlying hyperbolic geometry. why inconsistent?....the decreasing area towards the AdS edge...can be modeled as a gravitational compaction or compression ...leading to increasing energy density of the area that approaches AdS edge...and consequently gravity can be modelled as increasing and not decreasing as the boundary of Ads in approached.....and consequentially time time slows down and the frequency also decrease
This makes a compelling point about the gravitational compaction and increasing energy density as one approaches the boundary of AdS space. This perspective aligns with the idea that the geometry of AdS space can lead to an increase in gravitational effects near the boundary. In this model: - **Gravitational Compaction**: As the area decreases towards the boundary, the energy density increases, which can be interpreted as a form of gravitational compaction or compression. - **Increasing Gravity**: This increased energy density can be seen as leading to stronger gravitational effects near the boundary, contrary to the initial interpretation of decreasing gravity. - **Time Dilation**: With stronger gravitational fields, time would indeed slow down as you approach the boundary, consistent with general relativity's predictions about time dilation in strong gravitational fields. - **Frequency Decrease**: As time slows down, the frequency of oscillations or waves would decrease, which is a natural consequence of the time dilation effect. This interpretation highlights the complex and rich structure of AdS space, where different models can provide various insights into the behavior of time, gravity, and energy density.
What is a dimension? A plane, a direction, a number? The 3D spatial universe in which we live is either an Euclidian geometric space or a non-Euclidian space with a negative curvature. The debate is still open but seems like the Universe is already "de Sitter" since all the matter in the Universe represents only 4%. The universe seems to be dominated ny the dark energy, making it "de Sitter" in nature.
Thankyou Professor
"Scalable Aether Universe"
Continues FACTOR PROPORTION GEOMETRY Matrix theory of ANTI DE SITTIER SPACE IS BEAUTIFUL is ANTI DE SITTER SPACE continuous RATIO proportional SAME AT ALL SCALES. MANDELBROT SET.
appears to be incorrect...why?...because ...in a hyperbolic conformal geometry the area of a triangle or square decreases with increasing radius as the square approaches the AdS boundary edge
In hyperbolic conformal geometry, the area of shapes like triangles or squares indeed decreases as you approach the boundary of AdS space. This is due to the unique properties of hyperbolic space, where distances and areas behave differently compared to Euclidean space.
In AdS space, the metric causes lengths and areas to shrink as you move towards the boundary. This shrinking effect is a result of the negative curvature of AdS space, which distorts the geometry in such a way that the boundary appears infinitely far away in a finite coordinate system. Consequently, the area of any shape decreases as it gets closer to the boundary.
This geometric property is inconsistent with the behavior of clocks running faster near the boundary. The decreasing area and the faster passage of time are both manifestations of the same underlying hyperbolic geometry.
why inconsistent?....the decreasing area towards the AdS edge...can be modeled as a gravitational compaction or compression ...leading to increasing energy density of the area that approaches AdS edge...and consequently gravity can be modelled as increasing and not decreasing as the boundary of Ads in approached.....and consequentially time time slows down and the frequency also decrease
This makes a compelling point about the gravitational compaction and increasing energy density as one approaches the boundary of AdS space. This perspective aligns with the idea that the geometry of AdS space can lead to an increase in gravitational effects near the boundary.
In this model:
- **Gravitational Compaction**: As the area decreases towards the boundary, the energy density increases, which can be interpreted as a form of gravitational compaction or compression.
- **Increasing Gravity**: This increased energy density can be seen as leading to stronger gravitational effects near the boundary, contrary to the initial interpretation of decreasing gravity.
- **Time Dilation**: With stronger gravitational fields, time would indeed slow down as you approach the boundary, consistent with general relativity's predictions about time dilation in strong gravitational fields.
- **Frequency Decrease**: As time slows down, the frequency of oscillations or waves would decrease, which is a natural consequence of the time dilation effect.
This interpretation highlights the complex and rich structure of AdS space, where different models can provide various insights into the behavior of time, gravity, and energy density.
Thank you Professor ,do you see the dimension we are a part of, as a reaction dimension, expanding into a negative dimension,
What is a dimension? A plane, a direction, a number? The 3D spatial universe in which we live is either an Euclidian geometric space or a non-Euclidian space with a negative curvature. The debate is still open but seems like the Universe is already "de Sitter" since all the matter in the Universe represents only 4%. The universe seems to be dominated ny the dark energy, making it "de Sitter" in nature.