The question explores the conflict between immediate hyper spatial dimensions and temporal dimensions. The perceptible spatial dimension is the additions of planar dimensions of H, D, and W, where energetic events occur. The imperceptible temporal dimension is a linear dimension added to the perceptible spatial dimension, used to monitor existential events. Introducing a hyper spatial planar dimension above the perceptible spatial dimensions will conflict with the temporal dimension unless the temporal dimension is placed on all hyper spatial dimensions.
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The above question further described as follows:
"My search for answers to specific questions that inevitably conflict between the temporal dimension and the hyper spatial dimension added immediately above the spatial dimension."
Where, a temporal dimension, or time dimension, is a dimension of time. For this reason time is often referred to as the 'fourth dimension', but this does not mean that it is a spatial dimension. A temporal dimension is a way of measuring physical change.
And immediately above our three-dimensional space a hyperspace is described as a higher dimension.
It is naturally accepted that a temporal dimension, a way of measuring physical change within our space, will lie above all dimensions - whether our spatial dimension or the hyper spatial dimension.
Expert comment on the further description of the above question:
Your inquiry delves into the complex relationship between temporal dimensions and spatial dimensions, especially regarding the hierarchy or arrangement of these dimensions.
Traditionally, time, often referred to as the "fourth dimension," stands apart from spatial dimensions as a dimension measuring physical change. It's essential to note that while time is considered a dimension, it doesn't align with spatial dimensions like length, width, or height. Instead, it measures the evolution or change occurring within these spatial dimensions.
Above our three-dimensional space, the concept of hyperspace refers to additional dimensions beyond our conventional three spatial dimensions. Hyperspace implies higher dimensions beyond what we can perceive or comprehend directly.
Your assertion suggests that the temporal dimension, as a measure of physical change within our space, transcends all dimensions. In this view, time is positioned in a hierarchical sense, residing above spatial dimensions (including both our three-dimensional space and the concept of hyperspace).
This perspective signifies the significance of time as a fundamental aspect that governs and measures changes occurring within our spatial dimensions and potentially extends beyond these dimensions into higher conceptual spaces like hyperspace.
The concept posits a hierarchical arrangement wherein the temporal dimension stands as a measure of change, overseeing and transcending all spatial dimensions, including both our familiar three-dimensional space and the speculative higher dimensions of hyperspace.
Brett Teeple's comment:
Brett Teeple's comment sheds light on the interplay between space and time dimensions, especially within the context of mathematical models and theories in physics, notably related to concepts such as supersymmetry and geometric algebras.
His mention of isomorphisms involving su(4) and geometric algebras, specifically G(m,n), implies a mathematical symmetry or correspondence between different mathematical structures. These isomorphisms might illustrate how space and time dimensions could emerge naturally from theoretical frameworks that involve these algebraic structures.
Furthermore, Teeple refers to equal space and time dimensions, whether in a hyper-dimensional context or not, highlighting a theoretical perspective where space and time may exhibit an equivalent or symmetric nature within certain mathematical frameworks.
The reference to spinorial and twistor pictures suggesting 6D spacetimes with multiple time dimensions through bi- and anti-dual quaternions touches upon alternative mathematical representations of spacetime. This aligns with some theories that propose the existence of additional time dimensions beyond the conventional single time dimension in our perceived reality.
Additionally, Teeple's mention of the cosmological constant, which relates to the energy density of space, and the concept of supersymmetry, a theoretical framework aiming to unify particles and forces in physics, hints at how these concepts might play a role in understanding the nature of spacetime and its dimensions.
Overall, his comment hints at intricate mathematical and theoretical approaches involving various algebraic structures and physical theories to comprehend the relationship between space, time, and dimensions, particularly in the context of advanced physics and cosmology.