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“When we rediscover that connection and align our intentions with the harmonious universal intention, we will be supported by a marvelous influx of a higher-dimensional universal energy, which cannot be accessed otherwise.”
“Instead, he was intrigued by a conjecture posed by the geometer Eugenio Calabi, who spoke of complex, higher-dimensional spaces with very special properties.”
“Practitioners are dealing with ever-larger numbers of images (hundreds or thousands rather than dozens) and more complex, higher-dimensional information (vectors or tensors rather than scalar values, arranged in image volumes directly corresponding to the anatomy rather than flat images).”
“Physicists and mathematicians who think about higher-dimensional spaces are, if they allow their interest to somehow become public knowledge, inevitably asked: “How can you visualize more than three dimensions of space?””
“Maybe the universe is just a bubble in a higher-dimensional ueber-universe that has always existed.”
“The brane is a distinguished sub-manifold (the skin) in the higher-dimensional space.”
“Ideas about higher-dimensional branes have re-invigorated model-building in more conventional particle physics.”
“As is well known already in 1D, interesting lowest-energy representations of the diffeomorphism algebra are necessarily anomalous (Virasoro algebra), and the higher-dimensional case is not different (multi-dimensional Virasoro algebra).”
“Considering how few people use higher math in their lives, or even remember much of it from high school, the popularity of books on chaos theory and number theory and higher-dimensional geometry is, well, a paradox.”
“Those particles could ultimately give us even more information about the higher-dimensional world.”
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