For more than six decades, computational physics has operated under the shadow of Landauer’s principle: the tenet that the erasure of information inherently produces entropy and requires a minimum dissipation of heat: \ge k_B T \ln 2$.
Yet, where does this limit truly reside? Is it a fundamental property of geometry itself, or is it an artifact of how human beings have built arbitrary coordinate registers and destructive state-switching architectures?
The Bhosale–Pandit Paradigm demonstrates that when coordinate space is treated as intrinsically geometric rather than an arbitrary numerical registry, state transitions can occur along closed topological manifolds with zero structural thermodynamic debt.
Key Implications
- Zero-Debt Thermodynamic Architecture: Physical state tracking without entropy expulsion.
- Re-evaluating the Turing Boundary: Transitioning from finite silicon state exhaustion to continuous topological invariance.
- Implications for Biological Coherence: How living neural and cellular systems maintain sustained coherence without overheating.
For the full mathematical treatment, refer to the published monograph The Bhosale–Pandit Paradigm: Geometry Owes the Universe Nothing, available across all platforms and linked in our Books Showcase.