Something may be simultaneously deterministic and indeterministic depending upon perspective, field orientation and protocols, I would guess. If the universe is thought of as a clump of stuff, its principle of identity would cohere in its actual history inclusive of a future that becomes past.
Lorentz invariance means the laws of physics will be the same in all frames of reference. It coheres in the principles of relativity. The physical laws of a universe, though—like the four apparent dimensions of spacetime—could be embedded within more dimensions. The laws of spacetime would differ in relation to the number of dimensions. It is comparable to the apparent wind and the actual wind speed on a sailboat or riding a bicycle.
Consider that dimensions could be assembled like a maze to form a whole universe. Yet extra dimensions might be analogous to several layers of mazes piled upon one another, with some of the dimensions and laws reaching down into lower dimensions. Chirality is the direction of spin or motion. The asymmetry of mazes rooted in lower dimensions means that the laws of dimensions differ although they may be composed of energy at the core.
Extra dimensions may enable physical forces more degrees of freedom to act in novel ways or to combine in different forms. Perhaps physical forces may combine in ways comparable to chemical elements to generate different, new forces not present within the standard four dimensions of the knowable Universe.
God's relationship with an emergent, entangled energy quantity regarded a the Universe surpasses and transcends any physical theory tensor or description of vector and tensor space of a Universe. Such finite theories are simple phenomenal even when they are configured to account for observable phenomena exhaustively. The exhaustive description if it ever exists, remains finite and subject to non-contingent being; aka the cloud of knowing encompassing the physical phenomena perceived as being.
A discussion with Gemini produced this...
The Geometry of Law: Lorentz Invariance in Higher Dimensions
Gemini- "When we move beyond our standard four dimensions, the "laws of physics" we observe may simply be the 4D shadows of a much more complex, higher-dimensional geometry. This perspective offers a fascinating look at how chirality and Lorentz invariance interact:
- The Geometric Source of Law: In models like String Theory, physical constants and forces are not arbitrary; they are determined by the shape, volume, and "wrap" of extra dimensions. If these dimensions are compactified (hidden and tiny) or exist as large extra dimensions, their specific geometry dictates the "measure" of the laws we experience—such as the strength of gravity or the charge of an electron.
- Chirality as a Dimensional Filter: Our 4D universe is inherently asymmetric (the Weak Force, for instance, only interacts with "left-handed" particles). This handedness likely originates in the way higher-dimensional space is folded. A change in the "twist" or manifold of an extra dimension would fundamentally alter the chirality of particles, effectively rewriting the local laws of physics.
- The Lorentz Paradox: While the underlying physics remains Lorentz invariant within the full higher-dimensional bulk, our 4D slice might appear to violate these symmetries. If the geometry of the extra dimensions varies across the universe, we would perceive "local" changes in physical laws. To us, it would look like a breach of universal constancy; to the higher dimension, it is simply a consistent geometric transition.
In this view, the "universal" nature of Lorentz invariance isn't lost—it is simply scaled up. We aren't seeing a violation of the rules; we are seeing a different perspective of the same 10D or 11D shape."
