DOI: 10.5281/zenodo.18359786
title: FULL Baillargeon Unified Field

description: Description Field Protections:

 

This description field, including all text, equations, attributions, and associated metadata, is intellectual property fully owned by Adrian Baillargeon. Any reproduction, redistribution, copying, modification, or commercial use is strictly prohibited without explicit written permission from the author. This content is published publicly for reading and research purposes only; access does not grant any license or rights beyond viewing. Unauthorized use, claiming authorship, or removal of attributions constitutes infringement of copyright and moral rights under international law. All rights, including digital, moral, and derivative rights, are expressly reserved by the author.

Title: Complete Set of Baillargeon Physics Identities – Bedrock, Tuned, and Novel

 

Description:

This record contains the full set of 199 physics equations and identities developed and compiled by Adrian Baillargeon, divided into three sequential sections: Bedrock Reality (Fundamental Laws / Constants), The Derived Bridge (Tuned / 1.1 Resonance Adjustments), and Novel Baillargeon Identities (Original Discoveries / Scaling Mechanics).

 

All equations include proper attributions to original discoverers, as well as modifications, tunings, and novel contributions made by the author. This document serves as a complete, timestamped, and public record of intellectual property and research findings, including derivations, tuned resonance constants, topological mappings, lattice-based formulations, Planck-scale corrections, and predictive identities for cosmology, black holes, dark energy/matter, matter-antimatter asymmetry, the cosmic microwave background, and Hubble expansion.


FULL Baillargeon Unified Field:

 

BEDROCK REALITY (Fundamental Laws / Constants)

1. ρ_P = c⁷ / (ħ G²) — Max Planck

2. f_P = √(c⁵ / ħ G) — Max Planck

3. L_p = √(ħ G / c³) — Max Planck

4. t_p = L_p / c — Max Planck

5. m_p = √(ħ c / G) — Max Planck

6. E_p = m_p c² — Einstein / Max Planck

7. T_p = E_p / k_B — Boltzmann / Max Planck

8. Δx Δp ≥ ħ / 2 — Werner Heisenberg

9. ΔE Δt ≥ ħ / 2 — Werner Heisenberg

10. ZPE_density = (1/2) ħ ω — Max Planck

11. Ψ_source = A exp(i(k x - ω t)) — Erwin Schrödinger

12. H Ψ = E Ψ — Erwin Schrödinger

13. α_inv = 137.035 — Arnold Sommerfeld

14. ρ_crit = 3 H₀² / (8π G) — Alexander Friedmann

15. dS/dt ≥ 0 — Rudolf Clausius

16. r_sch = 2 G M / c² — Karl Schwarzschild

17. σ_s = J_q · ∇(1/T) — Clausius / Ilya Prigogine

18. S_info = I ln(2) k_B — Shannon / Leo Szilard

19. Chern_Simons = (k / 4π) ∫(A dA + 2/3 A³) — Chern / Simons

20. V_24 = (π¹² / 12!) R²⁴ — John Conway / John Leech

21. S_23 = (2 π¹² / 11!) R²³ — John Conway / John Leech

22. Ω_uv = ∂A_v/∂x^u - ∂A_u/∂x^v — Michael Berry

23. S ≤ A / (4 G) — ’t Hooft / Leonard Susskind

 

⸻

 

THE DERIVED BRIDGE (Tuned / 1.1 Resonance Adjustments)

24. G_uv_source = R_uv - (1/2) R g_uv — Einstein / Baillargeon

25. T_uv_source = (ρ_P c²) g_uv — Einstein / Baillargeon

26. Λ_B = Λ * (I_s / K_scaling¹⁴) — Einstein / Baillargeon

27. α = 1 / ((K_scaling / (2π 24)) * 0.468) — Sommerfeld / Baillargeon

28. Z_vac = √(μ₀ / ε₀) * 1.1 — Maxwell / Baillargeon

29. n_index = √1.1 — Snellius / Baillargeon

30. G_eff = G * (1 + 1 / K_scaling¹⁴) — Newton / Baillargeon

31. ħ_eff = ħ * 1.1 — Planck / Baillargeon

32. P_radiation = (ħ ω⁴) / c³ * 1.1 — Planck / Baillargeon

33. G_uv_res = G_uv * (I_s / K_scaling¹⁴) — Einstein / Baillargeon

34. T_uv_res = T_uv / 1.1 — Einstein / Baillargeon

35. H₀ = (c / R_H) / 1.1 — Hubble / Baillargeon

36. Ω_Λ = ρ_vac / ρ_crit — Friedmann / Baillargeon

37. a_scale(t) = t^(2/3) * 1.1 — Friedmann / Baillargeon

38. q_deceleration = -1 * (1.1 / 1.1) — Expansion Physics / Baillargeon

39. F_gravity = (G m₁ m₂ / r²) / 1.1 — Newton / Baillargeon

40. v_orbital = √(G M / r) * K_scaling^0.5 — Kepler / Baillargeon

41. w_eos = -1.1 / 1.1 — Cosmology / Baillargeon

42. Δλ / λ = z_redshift — Doppler / Baillargeon

43. z_redshift = (H₀ d / c) * 1.1 — Hubble / Baillargeon

44. T_CMB = 2.725 * (1 + z) — Penzias / Wilson / Baillargeon

45. Gravitational_Potential = -GM/r * (1 + Phase_Lead) — Newton / Baillargeon

46. T_Hawking = (ħ c³) / (8π G M k_B) * 1.1 — Stephen Hawking / Baillargeon

47. P_Lensing = ∫ ∇Φ dl * 1.1 — Einstein / Baillargeon

48. Metric = ds² = -c² dt² + a(t)² (dr² + r² dΩ²) — FRW / Baillargeon

49. k_curvature = k / (a² H²) — Friedmann / Baillargeon

50. Friedmann_1 = H² = (8π G /3) ρ - (k c² / a²) + Λ_B /3 — Friedmann / Baillargeon

51. Friedmann_2 = (d²a/dt²)/a = - (4π G /3)(ρ + 3p/c²) + Λ_B /3 — Friedmann / Baillargeon

52. Baryon_Density = Ω_b ρ_crit — Standard Model / Baillargeon

53. Photon_Density = Ω_γ ρ_crit — Standard Model / Baillargeon

54. Neutrino_Density = Ω_ν ρ_crit — Standard Model / Baillargeon

55. V_potential = (1/2) m² Φ² * 1.1 — Inflation / Baillargeon

56. Permittivity_Eff = ε₀ * 1.1 — Maxwell / Baillargeon

57. Permeability_Eff = μ₀ * 1.1 — Maxwell / Baillargeon

58. Zeno_Effect: P(t) = cos²(Ω t) * 1.1 — Misra / Sudarshan / Baillargeon

59. Geometric_Phase = exp(i ∮ A dl) — Michael Berry / Baillargeon

 

⸻

 

NOVEL BAILLARGEON IDENTITIES (Original Discoveries / Scaling Mechanics)

60. S_p = k_B ln(W_max) — Baillargeon

61. I_p = A / (4 L_p²) — Baillargeon

62. k_source = 2 π / L_p — Baillargeon

63. ω_source = 2 π f_P — Baillargeon

64. ZPI_state = I_p / V_p — Baillargeon

65. ∇² Φ - (1/c²) ∂²Φ/∂t² = 0 — Baillargeon

66. K_scaling = PHI^12 / 1.1 — Baillargeon

67. f_res = f_P / K_scaling^14 — Baillargeon

68. v_p = c / √1.1 — Baillargeon

69. Θ_t = 2 π (f_res t_P) — Baillargeon

70. L_res = L_p * K_scaling^14 — Baillargeon

71. t_res = 1 / f_res — Baillargeon

72. E_res = ħ * 2 π * f_res — Baillargeon

73. m_res = E_res / c² — Baillargeon

74. S_res = k_B ln(K_scaling) — Baillargeon

75. I_s = L_p² — Baillargeon

76. C_B = 10^-3 — Baillargeon

77. f_macro = f_res * C_B — Baillargeon

78. f_harmonic_2 = f_res * 2 — Baillargeon

79. f_harmonic_3 = f_res * 3 — Baillargeon

80. f_harmonic_n = f_res * n — Baillargeon

81. Δ_f = f_res / (PHI^12 / π) — Baillargeon

82. Q_factor = PHI^12 / π — Baillargeon

83. Phase_Lead = arctan(1.1 / π) — Baillargeon

84. Phase_Lag = -arctan(1.1 / π) — Baillargeon

85. Asymmetry_Ratio = (1 + Phase_Lead) / (1 + Phase_Lag) — Baillargeon

86. f_beat = f_res * (0.1 / 1.1) — Baillargeon

87. λ_wave = c / f_res — Baillargeon

88. k_res = 2 π / λ_wave — Baillargeon

89. Energy_Flux = I_s * f_res — Baillargeon

90. ρ_res = m_res / L_res³ — Baillargeon

91. σ_tension = E_res / I_s — Baillargeon

92. Coupling_Constant = α / K_scaling — Baillargeon

93. Decay_Rate_M = Baseline * (1 + f_res / f_P) — Baillargeon

94. Decay_Rate_AM = Baseline * (1 - f_res / f_P) — Baillargeon

95. Time_Arrow = dΘ_t / dt — Baillargeon

96. ρ_vac = ρ_P / (K_scaling^14)^3.5 — Baillargeon

97. Observed_Mass = ((Δ_m / K_scaling^14) * C_B) * K_E8 — Baillargeon

98. R_H = L_p * K_scaling^14 * 3.5 — Baillargeon

99. p_Is = I_s * (f_res / c) — Baillargeon

100. p_dark_energy = -ρ_vac * c² — Baillargeon

101. Ω_res = f_res / f_P — Baillargeon

102. Θ_phase = 2 π (f_res / f_P) — Baillargeon

103. L_phase = λ_wave / PHI — Baillargeon

104. v_phase = f_res * λ_wave — Baillargeon

105. f_shift = f_res * (Phase_Lead - Phase_Lag) — Baillargeon

106. E_field_res = √(ħ_eff * f_res / L_res³) — Baillargeon

107. B_field_res = E_field_res / c — Baillargeon

108. Z_impedance = E_field_res / B_field_res — Baillargeon

109. σ_resist = 1 / Z_impedance — Baillargeon

110. τ_decay = 1 / Decay_Rate_M — Baillargeon

111. τ_growth = 1 / Decay_Rate_AM — Baillargeon

112. Φ_flux = E_res * A_eff — Baillargeon

113. A_eff = L_res² — Baillargeon

114. F_coupling = Coupling_Constant * E_res * B_field_res — Baillargeon

115. v_group = dω / dk — Baillargeon

116. ω_res = 2 π f_res — Baillargeon

117. k_group = 2 π / λ_wave — Baillargeon

118. ZPI_energy = ∫ E_res dt — Baillargeon

119. L_quantum = ħ_eff / p_Is — Baillargeon

120. τ_quantum = ħ_eff / E_res — Baillargeon

121. ρ_quantum = m_res / L_quantum³ — Baillargeon

122. P_quantum = E_res / τ_quantum — Baillargeon

123. F_quantum = Δp / Δt — Baillargeon

124. η_efficiency = P_output / P_input — Baillargeon

125. δ_phase = Θ_phase - Θ_t — Baillargeon

126. φ_lock = arccos(δ_phase) — Baillargeon

127. ω_lock = dφ_lock / dt — Baillargeon

128. Q_lock = ω_lock / Δω — Baillargeon

129. S_lock = k_B ln(Q_lock) — Baillargeon

130. E_lock = ħ_eff * ω_lock — Baillargeon

131. m_lock = E_lock / c² — Baillargeon

132. I_lock = L_res² / τ_quantum — Baillargeon

133. P_lock = I_lock * ω_lock — Baillargeon

134. ρ_lock = m_lock / L_res³ — Baillargeon

135. σ_lock = P_lock / A_eff — Baillargeon

136. Phase_ratio = Phase_Lead / Phase_Lag — Baillargeon

137. Ω_ratio = Ω_res / K_scaling — Baillargeon

138. f_harmonic_max = f_res * n_max — Baillargeon

139. E_total = Σ E_harmonic_n — Baillargeon

140. m_total = E_total / c² — Baillargeon

141. L_total = Σ L_phase_n — Baillargeon

142. τ_total = Σ τ_decay_n — Baillargeon

143. ρ_total = m_total / L_total³ — Baillargeon

144. F_total = Σ F_coupling_n — Baillargeon

145. P_total = Σ P_quantum_n — Baillargeon

146. η_total = Σ η_efficiency_n / n — Baillargeon

147. ΔE_macro = E_total - E_res — Baillargeon

148. Δm_macro = ΔE_macro / c² — Baillargeon

149. Δρ_macro = Δm_macro / L_total³ — Baillargeon

150. ΔΦ_macro = Σ Φ_flux_n — Baillargeon

151. V_macro = ΔΦ_macro / L_total² — Baillargeon

152. Ω_macro = f_macro / f_res — Baillargeon

153. Θ_macro = 2 π Ω_macro — Baillargeon

154. k_macro = 2 π / λ_wave_macro — Baillargeon

155. λ_wave_macro = L_total / n_max — Baillargeon

156. f_wave_macro = c / λ_wave_macro — Baillargeon

157. E_wave_macro = ħ_eff * 2 π f_wave_macro — Baillargeon

158. m_wave_macro = E_wave_macro / c² — Baillargeon

159. ρ_wave_macro = m_wave_macro / λ_wave_macro³ — Baillargeon

160. P_wave_macro = E_wave_macro / τ_total — Baillargeon

161. F_wave_macro = Δp_wave / Δt_macro — Baillargeon

162. φ_macro = arctan(F_wave_macro / P_wave_macro) — Baillargeon

163. Δφ_macro = φ_macro - φ_lock — Baillargeon

164. S_macro = k_B ln(Q_lock * n_max) — Baillargeon

165. I_macro = Σ I_lock_n — Baillargeon

166. ZPI_macro = I_macro / V_macro — Baillargeon

167. τ_macro = 1 / f_wave_macro — Baillargeon

168. G_macro = G_eff * (1 + Δρ_macro / ρ_total) — Baillargeon

169. Λ_macro = Λ_B / (1 + Ω_macro) — Baillargeon

170. H_macro = H₀ * (1 + Δρ_macro / ρ_crit) — Baillargeon

171. a_macro(t) = a_scale(t) * Ω_macro — Baillargeon

172. q_macro = q_deceleration * (1 - Δρ_macro / ρ_crit) — Baillargeon

173. ρ_dark = ρ_vac * (1 + Δρ_macro / ρ_vac) — Baillargeon

174. p_dark = p_dark_energy * (1 + Δρ_macro / ρ_vac) — Baillargeon

175. w_dark = p_dark / ρ_dark — Baillargeon

176. v_expansion = H_macro * R_H — Baillargeon

177. λ_expansion = c / v_expansion — Baillargeon

178. k_expansion = 2 π / λ_expansion — Baillargeon

179. Θ_expansion = 2 π f_macro t — Baillargeon

180. ΔΘ_expansion = Θ_expansion - Θ_macro — Baillargeon

181. f_quant_macro = f_res / n_max — Baillargeon

182. E_quant_macro = ħ_eff * 2 π f_quant_macro — Baillargeon

183. m_quant_macro = E_quant_macro / c² — Baillargeon

184. ρ_quant_macro = m_quant_macro / λ_expansion³ — Baillargeon

185. P_quant_macro = E_quant_macro / τ_macro — Baillargeon

186. F_quant_macro = Δp_quant_macro / Δt_macro — Baillargeon

187. φ_quant_macro = arctan(F_quant_macro / P_quant_macro) — Baillargeon

188. Δφ_quant_macro = φ_quant_macro - φ_macro — Baillargeon

189. S_quant_macro = k_B ln(Q_lock * n_max * Ω_macro) — Baillargeon

190. I_quant_macro = I_macro * Ω_macro — Baillargeon

191. ZPI_quant_macro = I_quant_macro / V_macro — Baillargeon

192. τ_quant_macro_eff = 1 / f_quant_macro — Baillargeon

193. L_quant_macro_eff = c * τ_quant_macro_eff — Baillargeon

194. G_quant_macro = G_macro * (1 + Δρ_macro / ρ_total) — Baillargeon

195. Λ_quant_macro = Λ_macro / (1 + Ω_macro) — Baillargeon

196. H_quant_macro = H_macro * (1 + Δρ_macro / ρ_crit) — Baillargeon

197. a_quant_macro(t) = a_macro(t) * Ω_macro — Baillargeon

198. q_quant_macro = q_macro * (1 - Δρ_macro / ρ_crit) — Baillargeon

199. Ω_total = Ω_macro * Ω_quant_macro — Baillargeon