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Non-Euclidean Physiology
Background
Non-Euclidean Physiology is a state or power where a being's physical form, or its existence itself, is adapted to the geometries and logics of Non-Euclidean spaces. Unlike Euclidean geometry, where lines remain parallel and distances are consistent, Non-Euclidean geometry involves spaces that bend, twist, or fold in ways that defy human perception—hyperbolic spaces that expand away from themselves, and elliptic spaces that converge and reconnect in impossible ways.
Beings possessing Non-Euclidean Physiology can navigate these warped spaces with ease, moving in patterns that seem physically impossible or illogical in our world. This can make them appear to phase through walls, emerge from nowhere, or loop around to the same location by walking in a straight line. Their forms may also seem to shift in ways that defy our understanding, with angles that should not exist and shapes that seem to flicker in and out of perception. They often embody an unnatural presence, invoking unease or dread due to their defiance of natural spatial laws.
Such physiology grants them an inherent resistance to spatial-based restrictions rooted in Euclidean structures, as their very form is attuned to more alien concepts of geometry. At the same time, their nature can make them appear "invisible" or imperceptible to beings who are only familiar with standard space, because their movements and presence slip through gaps in our understanding.
Possible Applications
- Unhindered Movement: Traversing spaces in ways that break or circumvent conventional physics—walking into a room and reappearing in another without passing through the space in between.
- Spatial Distortion: Generating localized effects that cause others to lose their sense of orientation, becoming lost in twisted spaces.
- Dimensional Overlap: Existing simultaneously in multiple points of space due to folded or curved geometry.
- Obscured Existence: Becoming difficult to locate, track, or perceive by conventional senses because of their warped spatial resonance.
- Resistance to Spatial Constraints: Immunity or resistance to spatial binds or manipulations rooted in normal, Euclidean concepts.
Practical Uses
- Stealth and infiltration by slipping past obstacles or barriers unnoticed.
- Confusing and disorienting enemies by manipulating their perception of space.
- Evading attacks or traps that rely on normal spatial limitations.
- Accessing hidden or otherwise unreachable locations by navigating warped or curved paths.
Possible Limitations
- Limited Effectiveness in Familiar Space: Some users may struggle to fully integrate their physiology in strictly Euclidean environments, causing potential disorientation or vulnerability.
- Perceptual Vulnerability: Beings attuned to Non-Euclidean principles themselves may be able to perceive or counteract such physiology.
- Physical or Mental Strain: Adapting to such a warped existence may impose strain or madness, especially for those not fully evolved to handle it.
- Anchoring Instability: May require continuous effort to maintain stability in a world that does not support such geometries, causing them to flicker or phase if they lose focus.
Users
- Cthulhu (Call of Cthulhu): The Great Old Ones reside in R'lyeh, which the city resides in non-Euclidean geometry, being redolent of spheres and dimensions apart from ours.