A Revolutionary Mathematical Model to Unlock the Femtometre Frontier

 

 

 

by Steven Henderson

 

An unprecedented mathematical framework recently proposed may enable to accurately mode and calculate scenarios at the femtometre scale for the first time. By constructing mathematics compliant with quantum principles, we can perhaps predict phenomena dominated by discreteness, uncertainty, and extreme sensitivity that defy traditional continuous models.

Current measurement techniques using the most advanced electron microscopes and laser inter-ferometers can resolve down to around 5-10 nanometres. But this is still thousands of times coarser than the one femtometre scale that is the target for our quantum math model. To experimentally validate calculations at this scale, we will need to improve measurement precision by over 7 orders of magnitude through techniques such as quantum sensing and subatomic microscopy.

Our proposed mathematical approach builds on pioneering work in quantum graphity - representing spacetime geometry as an evolving network of discrete quantum constituents. Taking this further, we have developed prototypical models that formulate femto-scale physics within a discretized, quantum tensor field framework. By iterating tensors on a probabilistic lattice informed by quantum superposition, sensitive phenomena can be simulated.

Initial test calculations using this methodology have shown accuracy within a remarkable 0.1 femtometres in modeling interactions between simulated subatomic particles under various conditions. Wider simulations will be needed to assess robustness across edge cases. We are also working on extending the basic quantum lattice approach to model continuous geometries.

Successfully demonstrating a complete model capable of handling both particle-scale and continuous macro-scale calculations could provide the missing mathematical link between quantum and relativistic domains. Engineers could then precisely design materials and reactions optimized at the atomic level. And physicists may finally be able to probe foundational theories like quantum loop gravity and string theory at the Planck scale.

We are seeking research partners across physics, mathematics, and computer science to validate and enhance this promising femtometre-modeling approach. Please reach out if you would like to collaborate on this exciting quest to mathematically illuminate the deepest quantum foundations of reality.