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[2] ai.viXra.org:2505.0123 [pdf] submitted on 2025-05-20 17:33:24
Authors: Hamid Javanbakht
Comments: 92 Pages.
This volume introduces temporal cohomology, a new framework in algebraic topology that integrates cohomological structures with internalized temporal dynamics. Rather than treating time as an external parameter, we define a category of sheaves indexed by trace-evolving sites, where homological invariants stabilize under Frobenius-like flows. The core construction involves a tower of arithmetic sites equipped with transition functors encoding temporal descent. Within this enriched setting, we develop fixed-point theories, modal regulators, and trace pairings that generalize classical cohomology and open pathways toward a spectral reformulation of zeta invariants. The formalism unifies temporal logic, topos theory, and motivic descent into a cohesive cohomotopical topology. This volume lays the categorical and spectral foundation for later applications to L-functions, field theories, and the Millennium problems.
Category: General Mathematics
[1] ai.viXra.org:2505.0050 [pdf] submitted on 2025-05-09 21:42:35
Authors: Bryan Clem
Comments: 5 Pages. (Note by viXra Admin: Please cite and list scientific references)
I’m very happy to present a new prime number solution that I have discovered with you all. I’ve discovered that our entire number system is completely reactionary and prime numbers are not random. And the proof was lying in how prime number 2 eliminates all even integers. This causes a reactionary effect where 3n removes all odd composites of 3 to infinity. Where N is 3,5,7,9, & 11. And you increase these 5 multiples of prime number 3 by 10 to infinity. This in turn causes prime number 5 to have a reactionary effect that forces the equation 5n. Where n equals 5 & 7. And you increase these 2 multiples by 6 to infinity simultaneously for prime number 5’s exact composites. This causes a reactionary effect that forces all prime numbers past 5 to end in a last digit of 1,3,7, or 9. Next to completely remove all of prime numbers 2,3, & 5’s composites from the number line you lay out the next 8 prime numbers of 7,11,13,17,19,23,29, & 31 out on paper and increase these 8 primes by the amount of 30 apiece to infinity. This naturally filters out all composites of 2,3, & 5 while catching all primes past 5. I have found that each prime number past 5 has 8 recursive prime multiples. One for each row and they are last digit locked to infinity. And each of these 8 prime multiples for all primes are increased by 30 to infinity with no calculating. The 1st of their 8 recursive multiples are always its square. So you multiply 7u20227 =49. Which is the second number down in row 5. (Truncated by ai.viXra,org Admin)
Category: General Mathematics