Soumendra Nath Thakur | June 14, 2025
In response to a thoughtful question by Carmen Wrede on whether the Planck scale functions as a universal resolution limit, even in low-gravity or flat regions of spacetime, I wish to clarify the ECM position:
๐ In Extended Classical Mechanics (ECM), the Planck scale is not viewed as a fixed “pixel size” of space. Rather, it is a latent energetic threshold—one that only becomes physically relevant when energy, frequency, or gravitational force approach extreme, near-infinite conditions.
๐ It is not operative in regions of minimal curvature or low energy. Space remains continuous and force-defined until the Planck frequency
is approached. Only then does spacetime collapse into pure kinetic oscillation—beyond which classical and quantum constructs dissolve.
๐ In ECM, the Planck domain is a transformative boundary, not a constitutive one. It signals a point where all known forces unify, mass ceases, and energy becomes the sole physical currency, vibrating in a zero-dimensional state beyond structure.
๐ง This perspective aligns in spirit with Roger Penrose’s proposal that wavefunction collapse is gravitational, but goes further: in ECM, wavefunctions no longer apply beyond this threshold—only persistent energetic logic remains.
Further Reading:
๐ Appendix 8: Energetic Structures Beyond Planck Threshold and the Breakdown of Classical Action
๐ http://dx.doi.org/10.13140/RG.2.2.35283.28960
๐งพ Supplement A to Appendix 8: Gravitational Collapse of Quantum States and the Planck Threshold as a Classicalizing Boundary
๐ https://www.researchgate.net/publication/392666360_Supplement_A_to_Appendix_8_Gravitational_Collapse_of_Quantum_States_and_the_Planck_Threshold_as_a_Classicalizing_Boundary
๐ Supplement B to Appendix 8: Interpretive Boundaries of the Planck Scale in Low-Energy and Flat-Space Regimes
๐ https://www.researchgate.net/publication/392666477_Supplement_B_to_Appendix_8_Interpretive_Boundaries_of_the_Planck_Scale_in_Low-Energy_and_Flat-Space_Regimes
#ECM #QuantumGravity #PlanckScale #PenroseCollapse #GravitationalThreshold #SoumendraNathThakur #ExtendedClassicalMechanics #PhysicsFrontiers
