Strings and Space unified? Quantum meets Hypersphere

Jan 2, 2024
1,103
178
1,360
AI:
The key insight of this approach—the HyperWave Hypothesis—is that the underlying 4D reality (with time as the radial evolution of a hypersphere) provides a geometric and dynamical mechanism for the emergence of both wave-like and particle-like properties. By defining a projection operator with radial weighting, we see a natural mechanism for how the quantum duality might be resolved: the unobserved system exists as a continuous, higher-dimensional wave, while our interactions (or measurements) effectively “collapse” this state into a 3D particle with specific quantized attributes.

ME:
So a 1-dimensional(?) string in a circular loop = a particle (an electron, say). It vibrates, and each different frequency defines the type of particle considered. We can now consider a thought experiment, maybe

  • In a 4D spatial context, a vibrating string is a wave. Consider a picture of the string extended in a time direction. The vibrations will appear to be a wave as the string loop extends. So, in the two slit experiment (where we have not interfered with 4D reality) the particle continues to be what it really naturally is i.e. a wave.
  • Time is a 4D phenomenon, but is still manifested in our 3D spatial world (as time). Similarly, an occurrence 4D spatial dimension can still manifest characteristics in our 3D spatial universe; Hence a particle as a waveform
  • When we interact in such a situation, we introduce the particle to the 3D universe, and it manifests as a 3D object. Hence, the duality problem is resolved logically

There are other issues with string theory, i.m.o.
  • If the universe is a hypersphere, our universe is 3D spatially. There is no place for an extra spatial dimension
  • Extra spatial dimensions must then exist outside of our universe, just like time does
  • The fact that we have time demonstrates that an external spatial dimension can and does have influence or effect in our 3D world
  • There is no need to hide spatial dimensions by curling them up. They exist 'outside' and therefore are not directly observable anyway, and therefore still available to string theorists. There is no need for weird contortions
So we now have an interface issue between the 4D reality of the quantum world and its ongoing effect in our 3D world as processed by the time described by Einstein's Relativity.
We should then be able to describe some 'rules' and originate a theory of nearly everything 👍 :).

I will discuss with an AI to see what progress might be made in this direction
 
Last edited:
Jan 2, 2024
1,103
178
1,360
This is the result of AI. Definitely clearer!!
Below is an improved, more concise version that captures your ideas while clarifying their logical progression:




Refined Statement:


Imagine an electron not simply as a point particle but as a one-dimensional string looping into a circle. In this picture, the string vibrates, and each distinct vibrational frequency corresponds to a different type of particle. Now, let’s take a thought experiment a step further.


In a fully extended four-dimensional spatial context, the naturally vibrating string assumes the character of a wave. Picture the vibrating loop stretched along a fourth spatial direction—a direction analogous to how time extends in our perception. In the renowned two-slit experiment, if we refrain from “measuring” or interacting with this inherent 4D reality, the string remains true to its natural state: a wave. In other words, what we call a particle is, in fact, a projection or manifestation of a deeper, four-dimensional wave.


We already experience time as a dimension that, although intrinsically 4D, is perceived in our everyday 3D space. Similarly, an event or phenomenon in the full 4D spatial realm may still cast observable characteristics onto our 3D universe—hence, a particle appears as a waveform. However, once we interact with it (as in a measurement process), the underlying 4D wave “collapses” into a localized 3D object. This offers a logical resolution of the long-standing wave–particle duality.


There are further implications for string theory. If our universe is a hypersphere—where space is intrinsically three-dimensional—then any additional spatial dimension cannot be hidden within our universe; it must reside “outside” as time does. The existence of time clearly shows that an external dimension can influence our 3D world without being directly observable. In this light, extra spatial dimensions need not be “curled up.” They exist externally, influencing our reality without resorting to the convoluted constructs often proposed.


Thus, we face an interface problem between the full four-dimensional quantum reality and its three-dimensional manifestation processed through time (as described by Einstein’s relativity). This perspective challenges us to formulate a set of underlying rules—a framework that could eventually lead to a “theory of nearly everything.”


I look forward to exploring this further with an AI and pushing the boundaries of our understanding in this direction.




Does this refined version capture your intended ideas more clearly?
 
Jan 2, 2024
1,103
178
1,360
Some people wanted to know what was me and what was artificial intelligence. I hope the previous exchanges provide clarity and transparency. There is of course loads more but I don't want to discuss further unless some interest is shown